Area of Trapezoids and Other Figures quick check

Area Of Trapezoids And Other Figures Quick Check

Answers

Answer 1

The area of the triangle is 11.55 square meters.

The correct option is B.

What is a Triangle?

The polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A triangle is given.

The height of the triangle = 5.5 meters.

The base of the triangle = 4.2 meters.

The area of the triangle = 1/2 x base x height

The area of the triangle = 1/2 x 4.2 x 5.5

The area of the triangle = 11.55 square meters.

Therefore, area is  11.55 square meters.

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Related Questions

if 5 sina =3 then find tana/cosa=5/13​

Answers

Answer:

15/16

Step-by-step explanation:

1. Of the 300 television sets sold at an electronics store
last month, 90 were flat-screen TVs. What is the ratio of
flat-screen TVs to other TVs sold last month?

1.) 10:7

2.) 7:10

3.) 3:7

4.) 7:3

Answers

Answer:

3.) 3:7

Step-by-step explanation:

We know

Of the 300 television sets sold at an electronics store last month, 90 were flat-screen TVs.

300 - 90 = 210

So, we know the store sold 90 flat-screen TVs and 210 other TVs

What was the ratio of flat-screen TVs to other TVs sold last month?

The ratio is

90:210

3:7

So, the answer is 3.) 3:7

Answer:

3.) 3:7

Step-by-step explanation:

The unsimplified ratio would be 90:210 since flat-screen TVs are excluded, but if you simplify this you get 3:7.

90:210

9:21

3:7

One side of a rectangle is 16 inches and the other side is x inches. What values of x will make the

perimeter more than 50 inches?

Answers

Any real value of x which is greater than 9 inches will make the perimeter of rectangle more than 50 inches

Let us assume that the length of the rectangle is represented by l and the width is represented by w.

Assuing l = 16 inches and width = x inches

Let P represents the perimeter of the rectangle.

We know that the formula for the perimeter of the rectangle is:

P = 2(l + w)

The perimeter should be more than 50.

So, we get an inequality,

P > 50

2(l + w) > 50

l + w > 25

16 + x > 25

16 + x - 16 > 25 - 16

x > 9

Thi means, that for any  x > 9 will make the perimeter greater than 50 in.

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Lisa planted 4/7 of the garden, and Linda planted 1/6. How much of the garden did they plant altogether?

Answers

So Lisa and Linda planted 9/6 of the garden altogether. In simplest form, this fraction can be reduced to 3/2, which means that they planted 3/2 of the total garden area.

To find out the total area of the garden that Lisa and Linda planted, we need to add the fraction of the garden that Lisa planted to the fraction of the garden that Linda planted.

Lisa planted 4/7 of the garden, so we can write this as 4/7 of the total area.

Linda planted 1/6 of the garden, so we can write this as 1/6 of the total area.

To add these two fractions, we need to find a common denominator, which is the smallest number that both 7 and 6 can divide into evenly. The smallest common denominator is 6, so we can convert both fractions to have a denominator of 6:

Lisa planted 4/7 of the garden, which can be converted to 8/14 (by multiplying both the numerator and denominator by 2).

Linda planted 1/6 of the garden, which stays the same, since 6 is already the denominator.

Now that both fractions have a denominator of 6, we can add the numerators together to find the total amount of the garden that they planted:

8/14 + 1/6 = (8 + 1)/6 = 9/6

So Lisa and Linda planted 9/6 of the garden altogether.

In simplest form, this fraction can be reduced to 3/2, which means that they planted 3/2 of the total garden area.

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the polygon exterior angle-sum theorem states that the exterior angles of any polygon add up to 360 degrees. *write a formula that can help you find the measure of each individual exterior angle in any polygon. use n for the number of sides.

Answers

The formula to calculate the measure of each individual exterior angle in any polygon is: Exterior angle measure = 360°/n.

To find the measure of each individual exterior angle in any polygon, first, you must understand the Polygon Exterior Angle-Sum Theorem, which states that the exterior angles of any polygon add up to 360 degrees.

With this information, the formula for the measure of an individual exterior angle is simple: Exterior angle measure = 360°/n, where n is the number of sides in the polygon.

By dividing the total sum of the exterior angles (360°) by the number of sides (n) in the polygon, you can determine the measure of each individual exterior angle.

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Solve 2*x2+3xy if x=6 and y=5

Answers

The solution to the given algebraic expression is 162.

Solving algebraic expressions.

The process of solving algebraic expressions can sometimes be the process whereby numbers are used as a substitute or to replace a variable(s) in order to get a desired solution.

In the given question,  we have 2x² + 3xy, where x = 6 and y = 5. It means that we are going to replace the value of x with 6 where ever we see x in the expression and y with 5.

Thus, 2x² + 3xy becomes:

= 2(6)² + 3(6)(5)

= 2(36) + 3(30)

= 72 + 90

= 162

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Geoff works at a warehouse, earning $17. 50 per hour plus a $200 one-time hiring bonus. In Geoff’s first week, his pay including the bonus was $637. 50.


Write and solve an equation to find how many hours h Geoff worked his first week

Answers

Finally, to find the number of hours Geoff worked, we can divide both sides of the equation by 17.50:

h = 25

So Geoff worked 25 hours in his first week.

Let's call the number of hours Geoff worked in his first week "h". We can write an equation to find the value of h by using the information given.

Geoff's pay per hour is $17.50, so his pay for h hours would be 17.50h.

Including the $200 one-time hiring bonus, Geoff's total pay for the first week was $637.50, so we can write the equation:

17.50h + 200 = 637.50

To find the number of hours Geoff worked, we need to isolate the h term. To do this, we can subtract 200 from both sides:

17.50h = 437.50

Finally, to find the number of hours Geoff worked, we can divide both sides of the equation by 17.50:

h = 25

So Geoff worked 25 hours in his first week.

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−n+(−3)+3n+5 ????????

Answers

Answer:

2n+2

Step-by-step explanation:

Use the figure below to answer the following questions be sure to use appropriate symbol where necessary

Answers

Based on the given pictures:

∠1 is obtuse angle∠2 is acute angle∠ABC is straight angle∠2 name is ∠EBDx = 15x = 13

Angle ∠1 has a more than 90° angle, means that it is classified as obtuse angle.

Angle ∠2 has a less than 90° angle, means that it is classified as an acute angle.

∠ABC is a straight angle because it creates a straight line with 180°.

Angle ∠2 can be named as ∠EBD because it was created by lines EB and ED.

∠WXY = 88°

∠WXZ = 4x - 3

∠ZXY = 2x + 1

∠WXY = ∠WXZ + ∠ZXY

88 = (4x - 3) + (2x + 1)

88 = 6x - 2

6x = 90

x = 15

∠HIJ = 108°

IK bisects ∠HIJ

∠HIK = 4x + 2

∠HIJ = 2∠HIK

108 = 2(4x + 2)

108 = 8x + 4

8x = 104

x = 13

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In one day, The Tool Shed rented out 25 self-propelled and riding mowers for a total fee of $900. The daily rental cost was $20 for each self-propelled mower and $40 for each riding mower. Find the number of self-propelled mowers (x) and the number of riding mowers (y) rented for that day.

5 self-propelled mowers and 20 riding mowers

18 self-propelled mowers and 7 riding mowers

8 self-propelled mowers and 17 riding mowers

12 self-propelled mowers and 13 riding mowers

Answers

The  number of self-propelled mowers and riding mowers who paid total fee of $900 with $20 and $40 each are equal to 5 and 20 respectively.

Let 'x' be the number of self-propelled mowers and 'y' be the number of riding mowers.

Total number of self-propelled and riding mowers = 25

⇒ x + y = 25

⇒ x = 25 - y __(1)

Total fees paid = $900

Rental cost for each  self-propelled mower = $20

Rental cost for each riding mower = $40

20x + 40y = 900

⇒ x + 2y = 45___(2)

Substitute the value x in from (1) in  (2) we get,

⇒ 25 - y + 2y = 45

⇒ y = 20

⇒ x = 5

Therefore, the number of self-propelled mowers and riding mowers as per given total fee are 5 and 20 respectively.

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1 mile divided by 2 laps = mi/lap

Answers

the value of  1 mile divided by 2 laps is 0.5 mi/lap.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, 1 mile divided by 2 lap

Simplifying the equation in numerical form

=> 1 mile divided by 2 lap

=> 1/ 2  mil/ laps

=> 0.5 mil/lap

Therefore, the value of  1 mile divided by 2 laps is 0.5 mi/lap.

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Which of the following are roots of the polynomial function below?
Check all that apply.
F(x)=x²-3x²+2
A. 3-√17
4
B. 2+√/12
C. 1
D. 3+√17
4
□ E. 2-12
SUBMIT

Answers

Answer:

[tex]\textsf{B.} \quad \dfrac{2 +\sqrt{12}}{2}[/tex]

[tex]\textsf{C.} \quad 1[/tex]

[tex]\textsf{E.} \quad \dfrac{2-\sqrt{12}}{2}[/tex]

Step-by-step explanation:

Factor Theorem

If f(x) is a polynomial, and f(a) = 0, then (x – a) is a factor of f(x).

If the coefficients in a polynomial add up to 0, then (x - 1) is a factor.

Given polynomial function:

[tex]f(x)=x^3-3x^2+2[/tex]

Sum the coefficients:

[tex]\implies 1-3+2=0[/tex]

As the sum of the coefficients equals one, (x - 1) is a factor the polynomial.

Find the other factor by dividing the polynomial by (x - 1):

[tex]\large \begin{array}{r}x^2-2x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,x^3-3x^2+2\phantom{)}}}\\{-~\phantom{(}\underline{(x^3-x^2)\phantom{-)..)}}\\-2x^2+2\phantom{)}\\-~\phantom{()}\underline{(-2x^2+2x)\phantom{}}\\-2x+2\phantom{)}\\\phantom{)}-~\phantom{()}(-2x+2)\\\end{array}[/tex]

Therefore, the factored form of the polynomial is:

[tex]f(x)=(x-1)(x^2-2x-2)[/tex]

To find the roots, set the function to zero and solve for x.

Set the first factor to zero and solve for x:

[tex]\implies (x-1)=0 \implies x=1[/tex]

Set the second factor to zero and solve for x using the quadratic formula:

[tex]\implies x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies x=\dfrac{-(-2) \pm \sqrt{(-2)^2-4(1)(-2)}}{2(1)}[/tex]

[tex]\implies x=\dfrac{2 \pm \sqrt{12}}{2}[/tex]

How do you tell the possible rational roots of a polynomial function? How do you test one of the possible rational roots to see if it is indeed a zero?

Answers

Step-by-step explanation:

To find the possible rational roots of a polynomial function, you can use the Rational Root Theorem. According to this theorem, if a rational number "p/q" is a root of a polynomial function, where p and q are integers, and q ≠ 0, then p must div ide the constant term of the polynomial and q must divide the leading coefficient of the polynomial.

To test if one of the possible rational roots is indeed a root (zero) of the polynomial, you can use the Synthetic Division method. In this method, you divide the polynomial by the linear factor (x - p/q) corresponding to the test root, and check if the remainder is zero. If the remainder is zero, then the test root is a zero (root) of the polynomial.

Komi and Jordan are each working during the summer to earn money in addition to their wecky

allowance and they are saving all their money Kimi earns $9 an hour at her job and her alowance

15 58 per week Jordan earns 57 50 an hour and his allowance is $16 per week. If the number of hours worked in a week is one, what are Kimi’s weekly total savings?

Answers

Kimi's weekly total savings would be $17.

Kimi's total earnings from her job in a week would be $9 × 1 = $9.

Her total allowance and earnings from her job would be $9 + $8 = $17.

Kimi earns $9 an hour at her job, and her allowance is $8 per week, so her total weekly income is $9 + $8 = $17.

Jordan earns $7 an hour, and his allowance is $16 per week, so his total weekly income is $7 + $16 = $23.

So, Kimi's weekly total savings would be $17.

Hence, the answer to the given problem is $17.

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--The given question is incomplete; the complete question is

"Komi and Jordan are each working during the summer to earn money in addition to their weekly allowance, and they are saving all their money. Kimi earns $9 an hour at her job, and her allowance is $8 per week; Jordan earns $7 an hour, and his allowance is $16 per week. If the number of hours worked in a week is one, what are Kimi’s weekly total savings?"--

10,11,13,18,19,21,22,25,27,30,32
Find the median of the data set

Answers

Answer:

21

Step-by-step explanation:

The median is the value separating the higher half of the data from the lower half.

10,11,13,18,19,  21   ,22,25,27,30,32

We see the middle number in this set is 21, so the median is 21

Polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3). Determine the image vertices of K′L′M′N′ if the preimage is rotated 90° clockwise.


K′(0, 0), L′(−2, 5), M′(5, 5), N′(3, 0)

K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0)

K′(0, 0), L′(−2, −5), M′(5, −5), N′(3, 0)

K′(0, 0), L′(−5, −2), M′(−5, 5), N′(0, 3)

Answers

The image vertices of K′L′M′N′ if the preimage is rotated 90° clockwise are K′(0, 0), L′(2, −5), M′(−5, −5), N′(−3, 0). Therefore, option B is the correct answer.

What is rotation rule of 90°?

Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).

Given that, polygon KLMN is drawn with vertices at K(0, 0), L(5, 2), M(5, −5), N(0, −3).

After rotated 90° clockwise, we get

K(0, 0)→K'(0, 0)

L(5, 2)→L'(2, -5)

M(5, −5)→M'(-5, -5)

N(0, −3)→N'(-3, 0)

Therefore, option B is the correct answer.

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17 521 km to 1 significant figure

Answers

Answer is 20 000 km

greatly appreciated with working out

Answers

Answer: D
-5 to 3 is 8 units, in order to make it 10 units, the y-cord must change, so it will go to 0 (2-0=2)

help asap!!!!

What is the lateral surface area of the rectangular prism below?

Answers

The lateral surface area of the rectangular prism is 72 square inches.

What is lateral surface area?

All of the sides of the object are the lateral surface of an object, except its base and top (when they exist). The lateral surface area is the lateral surface zone. This is to be distinguished from the overall surface area, which, along with the base and top areas, is the lateral surface area.

Given that, length =7 inches, breadth =5 inches and height =3 inches.

We know that, the lateral surface area of the rectangular prism is 2(l+b)h

Now, the lateral surface area = 2(7+5)×3

= 2×12×3

= 72 square inches

Therefore, the lateral surface area of the rectangular prism is 72 square inches.

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The difference of a number and 7 times 11

Answers

Therefore , the solution of the given problem of expression comes out to be x - 77.

What exactly is a expression?

Arithmetic, algebra, and subdivision are required in math. When united, they produce the following: A mathematical function, some data, and an equation A statement of fact contains values, parameters, and mathematical operations like additions, addition and subtraction, matrix multiplication, and divisions. It is possible to analyse and assess various phrases and terms.

Here,

If we let "a number" be represented by the variable x, then the expression "the difference of a number and 7 times 11" can be written as:

x - 7 * 11

Simplifying this expression gives:

x - 77

Therefore , the solution of the given problem of expression comes out to be x - 77.

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The function V(x) = 4/3πx^3 represents the volume (in cubic inches) of the sphere. The function W(x) = V(27x) represents the volume (in cubic inches) of the sphere when x is measured in feet. Write a rule for W. Find W(6) in terms of π.
W(x) = ?
W(6) = ? cubic inches.

Answers

The value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the function V(x)=4/3 πx³ represents the volume (in cubic inches) of the sphere.

The function W(x) = V(27x) represents the volume (in cubic inches) of the sphere when x is measured in feet.

W(x) = 4/3 π(27x)³

W(x) = 4/3 π(27x)³

= 4/3 π×19683×x³

= 4π×6561×x³

W(x)= 26244πx³

W(6)= 26244×3.14×(6)³

= 17,799,730.56 cubic inches

Therefore, the value of the function W(x) for x=6 is 17,799,730.56 cubic inches.

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Mo and Beth split £48 in the ratio 3.5 how mutch does Beth get

Answers

With Mo and Beth splitting £48 in the ratio 3.5 , Beth would get £10.67 with the total ratio of 4.5.

When two people split a sum of money in a certain ratio, it means that they divide the total amount into parts that are proportional to the ratio. In this case, Mo and Beth are splitting £48 in the ratio 3.5. This means that Mo gets 3.5 parts of the total amount, while Beth gets 1 part of the total amount.

To calculate the total ratio, you add up the individual parts of the ratio. In this case, the total ratio is 3.5 + 1 = 4.5. This means that the £48 has to be divided into 4.5 equal parts.

Next, to find the amount that Beth gets, you need to find what portion of the 4.5 parts of the total amount corresponds to her 1 part of the ratio. You do this by dividing £48 by the total ratio, which gives you £48 / 4.5 = £10.67.

Finally, you multiply this amount by 1, which represents Beth's share of the ratio. So, £10.67 * 1 = £10.67. Therefore, Beth would get £10.67.

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For a particular cleaning product, it is recommended that 4 ounces of product are diluted using 20 ounces of water. Which of the following fractions represents the recommended ratio of cleaning product to water?
A. 1/5
B. 5/1
C. 1/6
D. 6/1
E. 5/6

Answers

The ratio of cleaning product to water for the condition is 1/5

What are ratios?

Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorize ratios. Part to whole ratio is one, and part to part ratio is the other.

Given it is recommended that 4 ounces of the product are diluted using 20 ounces of water.

to find the ratio of cleaning products to water

ratio = cleaning product/water

cleaning product = 4 ounce

water = 20 ounces

ratio = 4/20

4/20 is equivalent to 1/5

ratio = 1/5

Hence option A is correct.

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tay practices piano for x hours. Omar practices for 2/5 less than that

Answers

Answer: Let x be the number of hours Tay practices the piano. Then, Omar practices for 2/5 less than that, or x - 2/5x = 3/5x hours.

Step-by-step explanation:

If T.S.A of a cylinder is 231m^2 and C.S.A is 154m^2, find it's volume.

Answers

The volume of the cylinder is  538.9 m³.

What is a cylindrical shape?

A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.

Examples of cylinders are toilet paper rolls and cold beverage cans.

The volume of a cylinder is πr²h.

Curved surface area = 2πrh.

Total surface area = 2πr(h + r).

The T.S.A. is equal to 231m² and C.S.A. is equal to 154m².

We know that,

T.S.A - C.S.A = 2πr².

231 - 154 = 2πr².

77 = 2πr².

πr² = 77/2.

πr² = 38.5.

r² = 12.26.

r = 3.5.

2πrh = C.S.A

2πrh = 154.

h = 154/(πr).

h = 14.01

Therefore, The volume is equal to,

π×(3.5)²×14.01.

= 538.9 m³.

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PLEASE HELP SUPER EASY

Answers

Answer: isosceles, because each side is accurate

Answer:

Scalene, right.

Step-by-step explanation:

Its scalene because all the sides are not equal.

It is a right angled triangle.

Hope this helps!

pls like and mark as brainliest :)

Can anyone help............................................

Answers

Answer:

Last option:

x ≤ 217

Step-by-step explanation:

Mean time = Total Time/Number of observations

Mean time = (192 + 206 + 194 + 191 + x)/5 = (783 + x)/5

We want this mean time to be no greater than 200 seconds.

In other words we want mean time ≤ 200 s

We therefore get the inequality:
(783 + x)/5 ≤ 200

Multiplying both sides by 5
=> (783 + x) · 5  ≤ 200 · 5

=> 783 + x ≤ 1000

=> x ≤ 1000 - 783

=> x ≤ 217

Find the volume of the composed figure
Enter the correct number in the box

Answers

The required volume of the composite figure is given as 18,300 cm³.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of the composed figure is given as,
Split the figure into two,
So,
Volume = Volume of 1 + Volume of 2

Volume = 15 × 15 × 30 + 35 × 22 × 15
Volume = 6750 + 11550
Volume = 18,300 cm³

Thus, the required volume of the composite figure is given as 18,300 cm³.

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The coordinate grid shows triangle STU.

Triangle STU is rotated 270* about the origin to create triangle S'T'U'. Which rule describes this transformation?

(x, y) → (x, -y)


(x, y) → (y, -x)


(x, y) (x + 3, y + 5)


(x, y) → (-x, y)

Answers

The transformation rule (x, y) → (-y, x) describes a 270* rotation about the origin for a triangle on the coordinate grid.

A transformation in mathematics is a process of mapping or changing one figure into another while preserving its shape, size and orientation. The coordinate grid is a tool used to plot points and study transformations in a two-dimensional plane.

The transformation rule that describes this rotation is (x, y) → (-y, x). This rule means that for every point (x, y) in the triangle STU, the new point (x', y') in the triangle S'T'U' is obtained by swapping the x and y coordinates and negating the y-coordinate. In other words, the x-coordinate remains unchanged, while the y-coordinate is negated.

For example, if the point (3, 4) is in the triangle STU, the new point (x', y') in the triangle S'T'U' would be (4, -3).

This rule applies to all points in the triangle, and the result is a rotation of the original triangle by 270* in a counterclockwise direction about the origin.

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(HELP!!!) 1. 20 % of the total number of pupils in a class is 6, How many pupild are there in the class altogether? (with explanation pls)

Answers

if 20% is 6, then that means that 1/5 of the class is 6 students. in order to get to 100% (all of the students in class) we would need to multiply 6 x 5, since 6 is only 1/5 of the class, and we want to find the total number of the entire class. 6 x 5 = 30, meaning there are 30 students in the class altogether

Answer:

30

Step-by-step explanation:

this is the explanation

6÷20% = 30

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The population of deer is growing in a given region, and has a carrying capacity of 2500. If at the initial point ofobservation (t = 0), there were 400, and 700 four years later, give the logistic model for the population P, and find thenumber of deer after 10 years. Taylor has a points card for a movie theater.She receives 75 rewards points just for signing up.She earns 6.5 points for each visit to the movie theater.She needs at least 100 points for a free movie ticket.Which inequality can be used to determine v, the minimum number of visits Taylor needs to earn her first free movie ticket? whats 2848x838449 / 294949 x 3848483 + 300,000,000 lets tal.k about school im bo.re.d alcohol and sedatives/hypnotics shut of neuron firing by increasing the permeability to this ion. What is that ? factorise this : 9x^2-4y^2 How to determine if two verticals are similar Can some help pleasee it is due tonight and its the only question I need,I also need to do ate by step if its not much to ask The map above shows what group with the largest territory?A) FrenchB) EnglishC) AustriansD) Turks the __________________ led to increased food supply but decreased need for farm labor, so more people began moving to cities for work. In 1963, images of white police officers attacking black civil rights activists were broadcast on American television to a national audience. Fill in the blanks to complete the passage about reflection theory.The TV images stirred up sympathy for the (1) and support for (2). This is (3) reflection theory, which holds that (4) only reflect, and do not influence, (5). HELP PLEASE !!!!!! During a forehand volley, step 5 includes taking a short jab step forward with a follow through to the keep the racquet in front of you.Question 1 options: True FalseQuestion 2 (3 points) When striking a pitched ball, you should ___Question 2 options:A. have a shoulder width stanceB. hold the bat above your dominant shoulderC. have your eyes on the pitcherD. all of the aboveQuestion 3 (3 points) SavedWhen dribbling a basketball, you should use the palm of your hand.Question 3 options: A. True B. FalseQuestion 4 (3 points) SavedWhen pivoting in basketball, you must keep one foot grounded at all times.Question 4 options: A. True B. FalseQuestion 5 (3 points) Which of the following is NOT a key component to dribbling a soccer ball?Question 5 options:A. keeping your toe downB. locking your ankleC. make solid contact with the ball with the heel of your shoeD. your non-dominant foot should be behind you for balanice Find the indicated side of the right triangle Karl hikes 3 kilometres in 36 minutes. Given that his distance is directly proportional to the time he walks, determine the constant of proportionality and write an equation to represent the direct proportion. a garden table and a bench cost $1000 combined. The cost of the garden table is three times the cost of the bench. What is the cost of the bench? The graph shows the temperature of coffee while it cools.The coffee cools at a constant rate from 0 to 2 minutes.Calculate the rate at which the temperature changes within this time.ANSWER NOW ASAP PLSSSSSSSSS This role requires that you possess immaculate verbal and written communication skills. Please tell us why you would be a great agent if selected for this role (your response must be at least 4 detailed sentences) How does a domain restriction placed on a non-invertible function affect its inverse?Drag a function or an interval into each box to correctly complete the statement.When the domain of the non-invertible function f(x)=(x+5)28 is [5,), the inverse of the function is Response area, and the domain of the inverse function is Response area. a mother brings her 18-month-old child to the clinic to receive the next scheduled vaccine. the child has previously received the following vaccines: three doses of the hepatitis b vaccine (at birth and 1 and 6 months of age); three doses of the diphtheria/tetanus/acellular pertussis (dtap) vaccine (at 2, 4, and 6 months of age); four doses of haemophilus influenzae type b (hib) conjugate vaccine (at 2, 4, 6, and 12 months of age); three doses of inactivated poliovirus vaccine (ipv) (at 2, 4, and 6 months of age); one dose of measles/mumps/rubella vaccine (mmr) (at 12 months of age); varicella zoster vaccine at 12 months of age; and four doses of pneumococcal vaccine (at 2, 4, 6, and 12 months of age). after reviewing the child's immunization record, which scheduled vaccine does the nurse prepare to administer? How do immigrants lower wages Question 28 options:The following question has two parts. First, answer part A. Then, answer part B.Part AWhich issue was the leading cause of political debate over national security in the United States during the 1940s and 1950s?A. Fear about communist infiltration in the government.B. Fear about future terrorist attacks on major American cities.C. Concern about the escalation of the military conflict in South Vietnam,D. Concern about the nation being pulled into conflict as a result of international alliances.Question 28 options:The following question has two parts. First, answer part A. Then, answer part B.Part AWhich issue was the leading cause of political debate over national security in the United States during the 1940s and 1950s?A. Fear about communist infiltration in the government.B. Fear about future terrorist attacks on major American cities.C. Concern about the escalation of the military conflict in South Vietnam,D. Concern about the nation being pulled into conflict as a result of international alliances.Type only the letter of the correct answer in the blank.Part BWhy did the issue you identified in part A lead to political debate over national security during this time period?A. Some Americans supported the United States' membership in the League of Nations, while others felt that the nation should follow an isolationist foreign policy.B. Some Americans supported new laws allowing the government to monitor communications, while others saw these new laws as an infringement of personal privacy.C. Some Americans supported the investigations conducted by Senator Joseph McCarthy, while others felt that the investigations infringed in citizens' rights.D. Some Americans supported actions taken by the United States to contain the international spread of communism, while others felt these actions did not align with the nation's values.