work out the area of this shape

Work Out The Area Of This Shape

Answers

Answer 1

Answer:

75.5

Step-by-step explanation:

First, the picture is not to scale.

The Area of the bottom (2) rectangle is 33

base x height = A

11 x 3 = 33      (where did I get 3? Total height of shape is 8. Trapezoid is 5)

                      (8-5 = 3)

Area of the trapezoid:

A = [tex]\frac{h (B_{1} + B_{2}) }{2}[/tex]

  =  [tex]\frac{(5)(6 + 11)}{2}[/tex]

  =  [tex]\frac{5(17)}{2}[/tex]

  = [tex]\frac{85}{2}[/tex]

  = 42.5

42.5 + 33 = 75.5


Related Questions

A board is 87 cm in length and must be cut so that one piece is 21 cm longer than the other piece. Find the length of each piece. Round your answers to the nearest centimeter, if necessary. * + 21?​

Answers

Thank you for answer Yey can I answer in my subject

The chance of winning the race of the horse A is 1/15 and that of horse B is 1/6. What is
the probability that the race will be won by A or B.

Answers

Answer:

7/30

Step-by-step explanation:

P = 1/15 + 1/6 = (2+5)/30 = 7/30

PLS HELP QUICK I WILL GIVE YOU BRAINLIEST:

Given that angle abc=70° and angle bcd=110°. Is it possible (consider all cases): That line AB intersects line CD?

Answers

Answer:

Given that angle abc = 70° and angle bcd = 110°. Is it possible (consider all cases): That line AB intersects line CD?

yes.

Step-by-step explanation:

#CarryOnLearning

When f(x) = 4 , what is the value of ?
A. 0
B. 2
C. 3
D. 4

Answers

The answer is 4 hope this helps

What is the value of x if x/ 3 + 1 = -2 ?​

Answers

Answer:x = -9

Step-by-step explanation:

Step 1: Simplify both sides of the equation.1/3x+1=−2Step 2: Subtract 1 from both sides.1/3x+1−1=−2−11/3x=−3Step 3: Multiply both sides by 3.3*(1/3x)=(3)*(−3)x=−9

An equation, f, has a domain of all whole numbers and has a range of all real numbers. A) Does the equation
represent a function? B) Explain why or why not. C) provide examples in either case, (and include your reasoning why
you chose this equation for your example.)

Answers

Answer:

f is not a function

Step-by-step explanation:

Given

Domain: Whole numbers

Range: Real numbers

Required

Is f a function

Base on the given parameters, f is not a function because:

There are more real numbers than whole numbers

And this implies that at least one element in the domain will have more than one corresponding elements in the range. i.e. one-to-many or many-to-many relationship

For a relation to be regarded as a function, the relationship has to be one-to-one or many-to-one

i.e. 1 or many domain elements to 1 element in the range.

An example is:

[tex]\begin{array}{ccccc}x & {1} & {9} & {9} & {0} \ \\ f(x) & {1.5} & {3.2} & {-3.5} & {0.1} \ \end{array}[/tex]

In the above function

The domain (i.e. x values) are whole numbers

The range (i.e. y values) are real numbers

However,

9 points to 3.2 and -3.5

So, the relation is not a function.

Consider the quadratic function y = 0.3 (x-4)2 - 2.5
Determine the axis of symmetry, x =

Answers

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We have the quadratic function:

[tex]\displaystyle y=0.3(x-4)^2-2.5[/tex]

And we want to determine its axis of symmetry.

Notice that this is in vertex form:

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

Where (h, k) is the vertex of the parabola.

From our function, we can see that h = 4 and k = -2.5. Hence, our vertex is the point (4, -2.5).

The axis of symmetry is equivalent to the x-coordinate of the vertex.

The x-coordinate of the vertex is 4.

Therefore, the axis of symmetry is x = 4.

find the x-intercepts y=2x^2 + 5x + 2/x^2-4x+3

Answers

Answer:

[tex]{ \tt{y = \frac{2 {x}^{2} + 5x + 2}{ {x}^{2} - 4x + 3 } }} \\ x - intercept : y = 0 \\ { \tt{ \frac{2 {x}^{2} + 5x + 2 }{ {x}^{2} - 4x + 3 } = 0 }} \\ \\ { \tt{2 {x}^{2} + 5x + 2 = 0}} \\ x = \frac{1}{2} \: \: and \: \: x = - 2[/tex]

Round 1001 to the nearest thousand.

Answers

1000 is the correct answer !

Mackenzie earns 4% commission as a salesperson. She sold a digital camera that cost $767. How much commission did Mackenzie earn?

Answers

Answer:

like about $500 and because of the ca!erlsn

X is less than or equal to 2 Write in interval notation.

Answers

x is less than -2, so -2 is our largest value of the interval, so it goes on the right. Since there is no lower endpoint (it is ALL values less than -2), we put the negative infinity symbol on the left side. The curved end on -2 indicates an open interval

the first term of an arithmetic sequence is -5, and the tenth term is 13. find the common difference

Answers

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Equivalent question: Find the slope of line going through points (1,-5) and (10,13).

Line points up vertically and subtract. Then put 2nd difference on top of first difference.

(1,-5)

(10,13)

---------'subtracting

-9, -18

So the slope of the line gong through point's (1,-5) and (10,13) is -18/-9=2.

The common difference of an arithmetic sequence whose first term is -5 and whose tenth term is 13 is 2.

PLS HELP please give an explanation if you don’t have one pls still give answer

Answers

I think a and b is the answer mate
The correct answers are Line A and Line B

Since you are looking for a -2 you start by finding the negative lines which narrows it down to A and B. The you check the rise over run of both lines and you should get -2/1 which simplifies to -2

(a^2 - b^2)=???????????????????????????

Answers

[tex](a^2 - b^2) = (a + b)(a - b)[/tex]

What is the depth of water in a tank with 300,000 gallons of water at 70F when the pressure gauge at the bottom of the tank reads 23 psig?​

Answers

Answer:

53.08 ft

Step-by-step explanation:

The pressure at the bottom of the tank, P = ρgh where ρ = density of water = 1000 kg/m³, g = acceleration due to gravity = 9.8 m/s² and h = depth of water in tank.

Since the pressure at the bottom of the tank, P = ρgh, making h subject of the formula, we have

h = P/ρg

Since P = 23 psig = 23 × 1 psig = 23 × 6894.76 Pa = 158579.48 Pa

Substituting the values of the other variables into h, we have

h = P/ρg

h = 158579.48 Pa/(1000 kg/m³ × 9.8 m/s²)

h = 158579.48 Pa/(9800 kg/m²s²)

h = 16.18 m

h = 16.18 × 1 m

h = 16.18 × 3.28 ft

h = 53.08 ft

8. Discount: An auto dealer paid $8730 for a
large order of special parts. This was not the
original price. The amount paid reflects a 3%
discount off the original price because the
dealer paid cash. What was the original price
of the parts?

Answers

Answer: 5,987

Step-by-step explanation:

Please help!!!!
I’m using Plato

Answers

1 by 4 ^ 256 is equal to 4 and 1 by 4 ^ 64 will be root 4 so here the answer will be 4 into 4 root 4

there option 4 will be correct

Find the slope of the line that passes through the two points 2,-4 & 4,-1

Answers

Answer:

Step-by-step explanation:

I have this saved on my computer in notepad b/c this type of question get asked sooo often :/

point P1 (-4,-2)  in the form (x1,y1)

point P2(3,1)  in the form (x2,y2)

slope = m

m = (y2-y1) / (x2-x1)

My suggestion is copy that above and save it on your computer for questions like this

now use it

Point 1  , P1 = (2,-4)   in the form (x1,y1)

Point 2 , P2 = (4,-1)  in the form (x2,y2)

m = [ -1-(-4) ]  /  [ 4-2]

m =  (-1+4) / 2

m = 3 / 2

so now we know the slope is  3/2  :)  

Which rule describes the transformation shown?

1. (x,y) → (-y, x+7)

2. (x,y) → (x+7,-y)

3. (x,y) → (-x, y+7)

4. (x,y) → (y+7, -x)

Answers

Answer:

2. (x,y) → (x+7,-y)

Step-by-step explanation:

Point A:

The original coordinate of point A was (-6,-6).

The coordinate after the transformation is A'(1,6), which eliminates option 3.

Point B:

The original coordinate of point B was (-2,4).

After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:

2. (x,y) → (x+7,-y)

I have no idea how to do this, so if someone could at least do one of these I’ll be grateful <3

Answers

Answer:

Answers are below!

Step-by-step explanation:

(2 + g) (8)

= (2 + g) (8)

Add a 8 after the 2, and flip.

= (2)(8) + (g)(8)

= 16 + 8g

= 8g + 16

= (4) (8 + -5g)

Add another 4, then flip.

= (4) (8) + (4) (-5g)

= 32 − 20g

= - 20g + 32

−7 (5-n)

= (−7) (5 + -n)

Add another 7, then flip.

= (−7) (5) + (-7) (-n)

= −35 + 7n

= 7n - 35

Use the distributive property.

a (b + c) = ab + ac

a = 8

b = 2m

c = 1

= 8 × 2m + 8 × 1

Simplify, you get 16m + 8.

Use the distributive property.

a (b + c) = ab + ac

a = 6x

b = y

c = z

= 6xy - 6xz is the answer.

[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \\\:a\left(b+c\right)=ab+ac[/tex]

[tex]a=-3,\:b=2b,\:c=2a[/tex]

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Apply minus plus rules.

[tex]=-3\cdot \:2b+\left(-3\right)\cdot \:2a[/tex]

Multiply the numbers.

3 x 2 = 6

Answer:

9. -35+7n

10. 16m+8

11. 6xy-6xz

Step-by-step explanation:

You multiplying the terms inside the ( ) by the outside factor.

This is call distributive property, a(b+c)=ab+ac.

Also, a(b+c)=(b+c)a by commutative property.

It also works over the operation subtraction since subtraction is just a disguised addition (addition of the opposite). That is, a(b-c)=ab-ac.

Anyhow, let's look at 9.,10., and 11..

9.

-7(5-n)

(-7)(5-n)

(-7)(5)-(-7)(n)

-35+7n

10.

8(2m+1)

(8)(2m)+(8)(1)

16m+8

11.

6x(y-z)

(6x)(y-z)

(6x)(y)-(6x)(z)

6xy-6xz

Hint on 7. It's like all the other problems. That is, it is equivalent to doing 8(2+g).

If you want comment below, if you want me to check any of yours or if you have any questions.

A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall?

Answers

Step-by-step explanation:

SAVE

HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS

How to Calculate How Many Bricks to Build a Wall

By KELVIN O'DONAHUE

Hunker may earn compensation through affiliate links in this story.

...

To estimate the number of bricks needed to build a wall, first measure a single brick.

A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the order.

Step 1

Measure the length and thickness of one of the bricks that will be used in the wall. A standard brick is 2-1/4 inches wide and 7-1/2 to 8 inches long. Add 1/2 inch to both the length and thickness to account for the mortar joint between adjacent bricks. For example, a brick that is 2-1/4 inches by 7-1/2 inches, plus mortar joints, will occupy 2 3/4 inches by 8 inches.

Step 2

Measure the length of the space for the wall and convert the number to inches. Divide the length in inches by the length of a brick plus mortar joint. For example, a wall 36 feet, 8 inches long is 440 inches long (36 X 12 = 432 + 8 = 440). Each course (single layer) of bricks will need 440 / 8 = 55 bricks.

SAVE

HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS

How to Calculate How Many Bricks to Build a Wall

By KELVIN O'DONAHUE

Hunker may earn compensation through affiliate links in this story.

...

To estimate the number of bricks needed to build a wall, first measure a single brick.

A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the orderStep 3

Determine the desired height of the wall in inches, and divide the height by the thickness of a brick and mortar joint. For example, a wall 72 inches tall requires 26.18 courses of 2-3/4-inch-wide bricks; rounded up to 27 courses.

Step 4

Multiply the number of bricks per course (55) by the number of courses (27) to obtain the number of bricks in a single-thickness wall or veneer. For our example, the number is 1,485 bricks. Double that number for a double-thickness wall. Bricklayers generally add 5 percent to the estimate to cover broken or wasted bricks, for about 1,560 bricks in this case

what are the missing numbers ?

Answers

It is d 5,6,8,9
Cube root 8 is 2 + 7 is 9

I only need the odd numbers answered

Answers

Answer:

1.a+4=11

a=7

2.6=g+8

g=2

3.

?

4.k+8=3

k=-5

5.j+0=9

j=9

6.12+y=15

y=3

7.h-4=0

h=4

8.m-7=1

m=8

9.w+5=4

w=-2

10.b-28=33

b=61

11.45+f=48

f=3

12.n+7.1=8.6

n=1.5

Hope This Helps!!!

The product of -3x and (2x+5) is …​

Answers

[tex]\huge{\boxed{\boxed{ Solution ⎇}}} \ [/tex]

[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex] - 3x \times (2x + 5) \\ = - 3x \times 2x + - 3x \times 5 \\ = - 6x ^{2} - 15x [/tex]

Answer ⟶ - 6 - 15x

Use the value of phi = 1.618 to predict the 23rd number in the Fibonacci sequence. The 22nd number in the sequence is 17,711.

- 10,946

- 17,711

- 22,897

- 28,656

Answers

Given:

[tex]\phi=1.618[/tex]

22nd number in Fibonacci sequence = 17,711

To find:

The 23rd number in the Fibonacci sequence.

Solution:

The nth term of a Fibonacci sequence is:

[tex]f_n=\dfrac{\phi^n-(1-\phi)^n}{\sqrt{5}}[/tex]

Substituting [tex]\phi=1.618, n=21[/tex], we get

[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]

[tex]f_{21}=\dfrac{(1.618)^{21}-(1-1.618)^{21}}{\sqrt{5}}[/tex]

[tex]f_{21}=10941.1724024[/tex]

[tex]f_{21}\approx 10941[/tex]

Now,

[tex]f_{23}=f_{21}+f_{22}[/tex]

[tex]f_{23}=10941+17711[/tex]

[tex]f_{23}=28652[/tex]

It is about 28,656. Therefore, the correct option is D.

Wade has a test score of 77% on his first test and 65% on his second test. What must he score on a third test to have an average of 80% overall?
93%
98%
89%
None of these choices are correct.

Answers

Answer: 98%

Step-by-step explanation:

The third test score = x

[tex]\frac{77+65+x}{3} =80\\\frac{142+x}{3} =80\\142+x=80*3\\x=240-142=98[/tex]

What is the y-intercept of the graph of y = 2.5x? a. 2.5 c. 0 b. 1 d. -1

Answers

Answer:

answer is C

Step-by-step explanation:

General equation of a line is expressed as shown:

y = mx+c where;

m is the slope or gradient of the line

c is the intercept of the line

Given the equation of the line graph as y =2.5x

Comparing the given equation with the general equation, it is seen that m = 2.5 and c = 0 (since there is no value for the intercept)

Based on the explanation, the y-intercept of the graph is therefore 0

Answer:

B

Step-by-step explanation:

To find the x-intercept, substitute in

0 for y and solve for x

To find the y-intercept, substitute in 0 for x and solve for y

x-intercept(s): None

y-intercept(s): (0,1)


Keiko, Chang, and Abdul sent a total of 109 text messages over their cell phones during the weekend. Keiko sent 7 fewer messages than Chang. Abdul sent 4
times as many messages as Keiko. How many messages did they each send?

Answers

9514 1404 393

Answer:

Keiko: 17Chang: 24Abdul: 68

Step-by-step explanation:

Let c represent the number of messages sent by Chang. Then Keiko sent (c-7) messages, and Abdul sent 4(c-7) messages. The total number sent was ...

  c + (c -7) +4(c -7) = 109

  6c -35 = 109 . . . . . . . . . . simplify

  6c = 144 . . . . . . . . . . . add 35

  c = 24 . . . . . . . . . . . divide by 6

  c-7 = 17

  4(c-7) = 68

Keiko sent 17, Chang sent 24, and Abdul sent 68 text messages.

Please help will mark brainliest!

Answers

Answer:

  (d) ∠B≅∠D

Step-by-step explanation:

The last statement of any proof is a restatement of what is being proven. Here, that is ...

  ∠B≅∠D

Mr johnson sells erasers for $3 each. He sold 96 erasers last week and he sold 204 erasers this week.

A. $300 B $600 C $100 D $900

Answers

I believe your answer is D.) $900

204 + 96 = 300

300 x 3 = 900

I hope this is correct and helps!

Other Questions
The function f(t) = 4t2 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t). Each of these extreme value problems has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the extreme values of the function subject to the given constraint. (a) f (x, y) = x^2 - y^2; x^2 + y^2 = 1 Max of 1 at (plusminus 1, 0), min of - 1 at (0, plusminus l) (b) f (x, y) = 3x + y; x^2 + y^2 = 10 Max of 10 at (3, 1), min of - 10 at (- 3, - 1) (c) f (x, y) = xy; 4x^2 + y^2 = 8 Max of 2 at plusminus (1, 2), min of - 2 at plusminus (l, - 2) URGENTLook at picture to see question 20 and 1/2 feet times 13 and 1/8 feet is what total how is development possible? mention some point? Is (18,-4) a solution to the equation y = -6x - -87? yes no If the percentage increase in price is 15 percent and the value of the price elasticity of demand is -3, then quantity demanded?a. Will increase by 45 per cent b. Will increase by 5 per cent c. Will decrease by 45 per cent d. Will decrease by 5 per cent Of the 144 animals in the pet store, 56 are cats. The rest are dogs. What fraction of the pets are dogs? Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour. What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ? (Hint: Think exponential.) a) e e-2 = 0.1353 b) e-13/15 = 0.4204 c) e-1 = 0.3679 d) 1-2-1 = 0.6321 What is the usage of "yield" in python? plzz help me out i really need help Help me please!!- What does the debate over welfare involve? Which of the following statements does NOT reflect the reciprocal nature of temperament?A. Babies emotionality and negative emotions predict maternal perceptions of parenting stress.B. Mothers who, prior to giving birth, believe that they are less well equipped to care for their infant are more likely to have infants who show negative aspects of temperament.C. Not all babies fit squarely into any of the three categories of temperament but display a mix of characteristics.D. Easy babies usually get the most positive reactions from others, which reinforces the easy temperamental qualities.I want to say it's C... but the double negative is throwing me off. Which argument is the best example of circular reasoning?A. I have no need to respond to arguments from misfits like you.B. Having been a surgeon for 10 years, I am ready to be a pilot.C. Everyone else has signed the petition, so now it's your turn.D. Snakes are the scariest animals because of their creepiness. The density of blood is 1055 kg/m3 . If the blood at the very top of your head exerts a minimum gauge pressure of 45 mm Hg (6000 Pa), estimate the gauge pressure at your heart in pascals. Making impulsive decisions could lead to which of the following iv. They play football. (into negative) -3 raised to the power 0= When the person is being fed through an intravenous central catheter, they are given _____________________ nutrition. According to the Declaration of Independence, what branch of government do the Patriots say is ineffective?