How you should answer:

1. Known:

2.Unknown:

3.Rationle:

4.Equation and Solution:


Steps on how to answer:

-State the known

-State the unknown and represent it with a variable

-Provide a rationale for your approach

-Include the equation, exact answer, and decimal approximation

How You Should Answer:1. Known:2.Unknown:3.Rationle:4.Equation And Solution:Steps On How To Answer:-State
How You Should Answer:1. Known:2.Unknown:3.Rationle:4.Equation And Solution:Steps On How To Answer:-State
How You Should Answer:1. Known:2.Unknown:3.Rationle:4.Equation And Solution:Steps On How To Answer:-State

Answers

Answer 1

Question 1

Focus on the triangle on the left.

sine is the ratio of opposite over hypotenuse

sin(angle) = opposite/hypotenuse

sin(44) = w/30

w = 30*sin(44)

w = 20.839751 approximately

Now move onto the triangle on the right. We'll use cosine this time.

cos(angle) = adjacent/hypotenuse

cos(x) = w/45

cos(x) = 20.839751/45

cos(x) = 0.463106

x = arccos(0.463106) ... arccosine is the same as [tex]\cos^{-1}[/tex]

x = 62.412286

Answers:w = 20.839751 approximatelyx = 62.412286 approximately

==========================================================

Question 2

Focus on the triangle on the left.

sin(angle) = opposite/hypotenuse

sin(32) = w/5

w = 5*sin(32)

w = 2.649596

Now move to the triangle on the right.

sin(angle) = opposite/hypotenuse

sin(x) = w/5

sin(x) = 2.649596/5

sin(x) = 0.5299192

x = arcsin(0.5299192) .... arcsine is the same as [tex]\sin^{-1}[/tex]

x = 31.999996

Answers:w = 2.649596 approximatelyx = 31.999996 approximately

==========================================================

Question 3

This time we use the tangent ratio.

Focus on the triangle that has legs of w and 16.

tan(angle) = opposite/adjacent

tan(70) = 16/w

w*tan(70) = 16

w = 16/tan(70)

w = 5.823524

Now let y = x+w and focus on the largest triangle this time.

tan(angle) = opposite/adjacent

tan(41) = 16/y

y = 16/tan(41)

y = 18.405895

This leads to:

y = x+w

x = y-w

x = 18.405895 - 5.823524

x = 12.582371

Answers:w = 5.823524 approximatelyx = 12.582371 approximately

Related Questions

Help me on this question please!

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

[tex]x+5[/tex]

[tex]x^{1-1} [/tex]

[tex]x^{0} [/tex]

[tex] = 1 [/tex]

─────────────────────┈

[tex](2x + 3)[/tex]

[tex]2x^{1-1} [/tex]

[tex]2x^{0} [/tex]

[tex]2\times 1 [/tex]

[tex] = 2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

look figure and give exact answer.​

Answers

Answer:

Those two lines are equal

I need help on this I don't get it please help me on this

Answers

Correct answer: 9x -14y = -6

Linear equation: y = ax + b

Let's replace (x,y) with (1/2, 3/4) and (4,3) and have the following equations:

1/2a + b = 3/4 (1)

4a + b = 3 (2)

=> (2) b = 3 - 4a

(1) 1/2a + 3 - 4a = 3/4

=> (1) 7/2a = 9/4

(2) b = 3- 4a

=> (1) a = 9/14

(2) b = 3/7

So we have the equation: y= 9/14x + 3/7

Multiple both sides with 14

=> 14y = 9x + 6

=> 9x -14y = -6

Solve the equation and enter the value of x below.
-3x-9=-27
x=

Answers

Answer:

6

Step-by-step explanation:

-3x=-27+9

-3x=-18

x=-18/-3

x=6

Answer:

[tex]\displaystyle 6 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle -3x - 9 = -27 \hookrightarrow \frac{-3x}{-3} = \frac{-18}{-3} \\ \\ x = 6[/tex]

I am joyous to assist you at any time.

These cones are similar. find the surface

area of the smaller cone. round to the

nearest tenth.

2 cm

3 cm

surface area = [? ] cm2

surface area = 75 cm?

Answers

Answer:

33.3 is your answer

Step-by-step explanation:

The surface area of the smaller cone A₁ is approximately 33.3 cm² when rounded to the nearest tenth.

What is a cone?

A cone is a three-dimensional geometric form with a flat base and a smooth, tapering apex or vertex. A cone is made up of a collection of line segments, half-lines, or lines that link the base's points to the apex, which is a common point on a plane that does not include the base.

Two cones A₁ and A₂ are similar.

The radius of A₁ = 2 cm

radius of A₂ = 3 cm

The surface area of A₁ = ? cm²

surface area of A₂ = 75 cm²

Since the cones A₁ and A₂ are similar, their corresponding sides are proportional.

Specifically, the ratio of their radii is the same as the ratio of their surface areas. That is,

(radius of A₁) / (radius of A₂) = (surface area of A₁) / (surface area of A₂)

We can use this relationship to solve for the surface area of A₁:

(surface area of A₁) = (radius of A₁ / radius of A₂)^2 × (surface area of A₂)

Substituting the given values, we get:

(surface area of A₁) = (2/3)² × 75

(surface area of A₁) = 4/9 × 75

(surface area of A₁) ≈ 33.3 cm²

Therefore, (surface area of A₁) ≈ 33.3 cm²

To learn more about the cone;

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This one is hard! try your best please.
A box contains 9 identical glass spheres that are used to make snow globes. The spheres are tightly packed, as shown below.

Answers

Answer:

1. 301.6 [tex]in^{3}[/tex]

2. 576 [tex]in^{3}[/tex]

3. 274.41 [tex]in^{3}[/tex]

Step-by-step explanation:

We know that the diameter of one of the spheres must be 4 in, because the length of the box is 12 in and there are 3 spheres along each side, and [tex]\frac{12}{3} =4[/tex]. That means that the radius of a sphere is 2 in. Put 2 into the formula for the volume of a sphere, and then multiply your solution by 9, to get the total volume.

Then, you can find the volume of the box, because you know its dimentions are 12x12x4.

Subtract your answer for part 1 from your answer for part 2, and you have the solution to part 3. Hope this helps!! :-)

The number of students taking algebra increased 20% in one year. If
60 students are taking algebra this year, how many took algebra last
year?

Answers

Answer: 50 students

Step-by-step explanation:

You know that the number of students last year plus 20% of that number equals the number of students this year, which can be written as: x + 0.2x = 60 →

1.2x = 60 → x = 50 students :)

Answer: 50 students

Step-by-step explanation:

x + .2x = 60

1.2x = 60

x = 60/1.2

x = 50

i will mark brainliest rn

Answers

Answer:

65 is the correct answer

Find the area of the figure below.
16 in
19 in
30 in
19.4 in

Answers

Answer:

392 square inches

Step-by-step explanation:
To solve this we need to look at this quadrilateral as two shapes that share a side - a triangle and a rectangle.

You can see in the attatchment how I have drawn a dotted line indicating where they share a side.

From here we find the area of each shape seperately and add those areas together!

Rectangle:
Looking at the rectangle portion we can see that the width is 16 in and the length is 19 inches.  Don't be fooled by the long 30 inch side.  Remember, we are only looking at the portion that makes up the rectangle.

A = l*w = 16*19 = 304 inches squared

Triangle:
To find the area of the triangle, we use the formula A = (b*h)/2 where b = the length of the base and h = the height.

We can see in this attatched drawing that the height of the triangle is the same length as the width of the rectangle which is 16 inches.  

To find the base, you can do one of two things.  

1) use the pythagorian theorem (A^2 + B^2 = C^2) to solve for the missing side of the right triangle, where A is 16 inches, B is unknown and C is 19.4 inches.

2) *easier* using the information given, we can see that the longest side of this shape is 30 inches and is made up of the length of the rectangle (19 inches) and the base of the triangle (which is unkown - we can call it x)

Given that we know the total length and the length of the portion that belongs to the rectangle, we can say x = 30-19 = 11.  Therefore the base of the rectangle is 11 inches.

From here we use b*h/2
11*16/2 = 88 = area of the triangle in square inches.

Now for the easy part - add up the areas for the total!
Area (rectangle) + Area (triangle) = Area (total)
304 + 88 =
392 square inches

6 , 9 , 12 , . . . 6,9,12,... Find the 34th term. Find the 34th term.

Answers

Answer:

105

Step-by-step explanation:

nth term=a+(n-1)d (a=first term,d=difference)

a=6,d=9-6=3

34th term=6+(34-1)3

=6+(33×3)

=6+99=105

Can someone please help me with this? I need to turn it in tomorrow and I don't understand what to do.

Answers

Answer:

Step-by-step explanation:

Slope intercept form

y + 7 = 3(x  + 4)                 Change all the double minuses to pluses.

y + 7 =  3x + 12                  Remove the brackets.

y + 7 - 7 = 3x + 12-7           Subtract 7 from both sides

y = 3x + 5

Slope

Whatever number is in front of the x is the slope Answer: 3

y intercept

Whatever comes after the plus sign (or minus sign) is the y intercept. It is a single number.  Answer: 5

x intercept.

This occurs when y = 0

0 = 3x + 5                      Subtract 5 from both sides

-5 = 3x + 5 -5

-5 = 3x                            Divide by 3

-5/3 = 3x / 3

-5/3 = x                          

Answer: x_intercept = -5/3

In exercises, 4 and 5, find the unknown or marked angles. ​

Answers

Answer:

alternate angle and counter

Anita is 42 1/2 feet below jared. Steph is 67 3/7 feet above anita. What is stephs position compared to jared. Explain

Answers

Check the picture below.

let's firstly convert the mixed fractions to improper fractions and then subtract.

[tex]\stackrel{mixed}{42\frac{1}{2}}\implies \cfrac{42\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{85}{2}} ~\hfill \stackrel{mixed}{67\frac{3}{7}}\implies \cfrac{67\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{472}{7}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{472}{7}~~ - ~~\cfrac{85}{2}\implies \cfrac{(2)472~~ - ~~(7)85}{\underset{\textit{using this LCD}}{14}}\implies \cfrac{944~~ - ~~595}{14}\implies \cfrac{349}{14}\implies 24\frac{13}{14}[/tex]

x - 3y = 4
2x - 5y = 8
solve by substitution

Answers

Answer:

y = 0

x = 4

Explanation:

x - 3y = 42x - 5y = 8

make x the subject,

x - 3y = 4

x = 4 + 3y __ equation 1

2x - 5y = 8

x = (8+5y)/2 __ equation 2

using substitution method:

(8+5y)/2 = 4 + 3y

8 + 5y = 8 + 6y

6y - 5y = 8 - 8

y = 0

Find x,

x = 4 + 3y

x = 4 + 3(0)

x = 4

Answer:

x = 4

y = 0

Step-by-step explanation:

Step 1. Pick one equation and rewrite in the form of x= OR y=

x - 3y = 4      (original)

x = 4 + 3y     (rewritten)

Step 2. Substitute for x in the other equation

2x -5y = 8                 (second equation)

2(4 + 3y) - 5y = 8      (substitute 4 + 3y for x)

Step 3. Solve for the unknown variable, y

2(4 + 3y) - 5y = 8        (distribute)

8 + 6y - 5y = 8            (combine like terms)

y = 0                           (first variable)

Step 4. Find x by plugging y into an equation

x - 3y = 4            (original)

x - 3(0) = 4          (substitute 0 for y)

x = 4                  (second variable)

FINAL SOLUTION: x = 4, y = 0

You can double check this by plugging these numbers back into each equation; x = 4 and y = 0 is true for both.

I hope this helps!

Find the Area. First person that answers this and gets it correct gets brainliest.

Answers

Answer:

Step-by-step explanation:

Break up the shape into a trapezoid and rectangle:

Trapezoid area = (Top + Bottom) * Height / 2

= (9 + 20) * (21-16) / 2

= 29 * 5 / 2

= 72.5

Rectangle area = Length * Width

= 20 * 16

= 320

Combining, the total area = 72.5 + 320

= 392.5 in^2

Answer:

A = 392.5 in²

Step-by-step explanation:

The composite figure is made up of a rectangle and a trapezoid.

Calculate the area of the rectangle:

[tex]\begin{aligned}\textsf{Area of a rectangle}&=\sf length \times width\\&=20 \times 16\\&=320\; \sf in^2\end{aligned}[/tex]

Calculate the area of the trapezoid:

[tex]\begin{aligned}\textsf{Area of a trapezoid}&=\dfrac{\text{base}\;a+\text{base}\;b}{2} \times \text{height}\\&=\dfrac{9+20}{2} \times (21-16)\\&=\dfrac{29}{2} \times 5\\&=72.5\; \sf in^2\\\end{aligned}[/tex]

Therefore, the area of the composite figure it the sum of the area of the rectangle and the area of the trapezoid:

[tex]\begin{aligned}\textsf{Total area of composite figure}&=\textsf{Area of rectangle}+\textsf{Area of trapezoid}\\&=320+72.5\\&=392.5 \; \sf in^2\end{aligned}[/tex]

Therefore, the area of the composite figure is 392.5 in².

how do I multiply 6ab (xa+ya^6 +8)

Answers

Answer:

6xba^2 + 6yba^7 + 48ab

Step-by-step explanation:

To do this, you have to multiply 6ab by each of the inside terms,

So you can write it out like this

6ab (xa + ya^6 + 8)

6ab(xa) + 6ab(ya^6) + 6ab(8)

Then you can simplify:

6xba^2 + 6yba^7 + 48ab

(When you multiply the same variable by itself, you turn it into an exponent)

For example x * x = x^2

Or x^4 * x^3 = x^7

Which expressions are equivalent to Tan(< g

Answers

Answer:

Can u post a picture so I can see what your talking about!?

Zoe considers the lunch choices as she looks at the menu. What is the probability that she will choose cheese pizza, apple, milk?

Meal: Cheese Pizza, Cheeseburger, Hotdog, Salad
Side: Banana, Apple, Yogurt
Beverage: Milk, Water, Juice

Multiple choices:
1/10
1/21
1/12
1/36

Answers

Answer:

1/10

Step-by-step explanation:

There are ten options and Salad is one of them; therefore, the answer would be 1/10.

24. generalize what are the attributes of fractions
that are equivalent to 100%

Answers

Answer:

when a fraction equals 100% it means it has the same numbers for its numerator and denominator such as 4/4 or 18/18

Step-by-step explanation:

When it has the same numbers for its numerator and denominator it will be 100%

Olivia has a beaded necklace business. She can make 12 necklaces in 2 hours. How long will it take her to make 9 necklaces?

Answers

Answer:

1.5hours

Step-by-step explanation:

Mr. Jones has a cylindrical water storage
tank. The tank has a diameter of 6 feet and
a height of 12 feet. Mr. Jones wants to
paint the tank but since the tank rests on a
concrete slab, he will not need to paint the
bottom of the tank. How much paint will
he need to paint the water storage tank?

Answers

Answer:

254.47sqft (square feet) of paint

Step-by-step explanation:

The surface area of the cylinder (282.74) minus the area of the one circle that doesn't need to be painted (28.27) is 254.47sqft which is the amount of paint he will need Mr. Jones.

Sandy is designing a circular garden as shown in this image. Her plan is to fill the rectangular region with hyacinths. She will need 78 square feet of space per hyacinth bulb. The hyacinth bulbs are sold in packages of 8.

What is the minimum number of packages Sandy must purchase to complete her plan?

Select from the drop-down menu to correctly complete the statement.

Sandy must purchase a minimum of _________
packages of hyacinth bulbs to complete her plan.

options are, 5,6,7,8

Answers

With one package (less actually) she can fill the 48ft^2 of the rectangular area.

How many packages does Sandy need?

We know that Sandy needs 7.8 square feet of space per hyacinth bulb, and the hyacinth bulbs are sold in packages of 8.

The rectangular region has a surface area of:

A = 8ft*6ft = 48 ft^2

The number of hyacinth bulbs that she can put in that surface is:

N = (48 ft^2/7.8 ft^2) = 6.15

So with 6 hyacinth bulbs, she can almost complete the rectangular area, and on each package there come 8 of them, so with one package she should be fine.

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Answer:

The answer is 7 PACKAGES

Step-by-step explanation:

I took the test!

What is the answer to this question????

Answers

Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

Given f(x)=x^3+9x+k, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer:

r:
The function is

The remainder when f(x) is divided by x−2 is 23.

To find:The value of k.

Solution:

According to the remainder theorem, if a polynomial P(x) is divided by (x-c), then the remainder is P(c).

It is given that, the remainder when f(x) is divided by x−2 is 23. By using remainder theorem, we get

Put x=2, to find the value of f(2).Therefore, the value of k is 8.

Step-by-step explanation:

How do solve this
h(x)=1/2x-14; h(4)

Answers

Answer:

-12

Step-by-step explanation:

h(x) = ½x - 14 where x = 4:

h(4) = ½(4) - 14

= 2 - 14

= -12

Finish the steps below to write a quadratic function for the parabola shown. use the vertex form, f(x) = a(x – h)2 k, and substitute in the values for h and k. f(x) = a(x – 5)2 3 use another point and substitute in values for x and f(x). solve for a. 5 = a(6 – 5)2 3 write the function, using the values for h, k, and a. the function is f(x) = (x – )2 .

Answers

The vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

What is the vertex form of parabola?

Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) is the vertex point.

Substitute the values for h and k in the above vertex form.

[tex]f(x) = a(x -5)^2+ 3[/tex]

Use another point and substitute in values for x and f(x). Solve for a.

[tex]5 = a(6 - 5)^2 +3\\5-3=a(1)\\a=2[/tex]

Rewrite the function, using the values for h, k, and a. The function is

[tex]f(x) = 2(x -5)^2+ 3[/tex]

Hence, the vertex form of the parabola after finishing the steps and putting the values for h, k, and a, is [2(x -5)²+ 3]

Learn more about the vertex form of the parabola here;

https://brainly.com/question/17987697

Answer: 1st slot: 2 | 2nd slot: 5 | 3rd slot: 3 | correct on edge 2023!




Given f(x) = 3x2 + kx – 7, and the remainder when f (x) is divided by x – 4 is
81, then what is the value of k?

Answers

Answer:

-243

Step-by-step explanation:

{3׳ykx-7 incluye

for each pair of lines, determine whether they are parallel, perpendicular, or neither

Answers

Line 1 and 2 are parallel because they both have the same gradient (-4)
Rearranging line 3 for y is y=-4x + 1. Because the gradient of line 1 and 3 is the same (-4x) this means they are also parallel
Line 2 and 3 are also parallel because they have the same gradient (-4x)

Diego and Lin have savings accounts. Diego had $40 in his account 6 months ago. Now Diego has $250 in his savings account. Lin currently has $100 in her account. She plans to add $50 per month. 1. Write a system of equations to represent Diego and Lin’s savings accounts.

Answers

The equation that can be used to represent Diego's and Lin's savings account is 250 = 40 + 6x and Total savings= 100 + 50x respectively.

How to write equation

let

x = amount added each month

Diego:

6 months ago = $40

Now = $250

250 = 40 + 6x

250 - 40 = 6x

210 = 6x

x = 210/6

x = $35

Lin:

Now = $100

Future = $50 per month

let

x = number of months

Total savings= 100 + 50x

Learn more about equation:

https://brainly.com/question/16863577

paul says x/y can result in either positive or negative quotient. is paul correct? explain why or why not.

Answers

Answer:

Dividing by same signs give a positive answer.

Dividing by different signs give a negative answer.

Step-by-step explanation:

Quotient is just a term for the answer given by a division problem.

positive/positive = positive

positive/negative = negative

negative/positive = negative

negative/negative = positive

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