What is the area of the trapezoid?

What Is The Area Of The Trapezoid?

Answers

Answer 1
Given Information :

Length of parallel sides = 60 ft and 40 ftHeight of the trapezoid = 30 ft

To calculate :

Area of the trapezoid.

Calculation :

As we know that,

[tex]\bigstar \: \boxed{\sf {Area_{(Trapezium)} = \dfrac{1}{2} \times ( a + b) \times h}} \\ [/tex]

a and b are length of parallel sides.h denotes height.

Substituting values, we get :

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × ( 60 + 40 ) × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = [tex]\sf \dfrac{1}{2} [/tex] × 100 × 30 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1 × 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 100 × 15 ft[tex] \sf ^2 [/tex]

[tex] \longmapsto [/tex] Area = 1500 ft[tex] \sf ^2 [/tex]

Therefore,

Area of the trapezoid is 1500 ft[tex] \sf ^2 [/tex]


Related Questions

maggie needs to make 6 tablecloth's she uses 3 3/5 yards of fabric for each tablecloth which is the shortest roll that will have enough fabric to make all the tablecloths

Answers

Answer:

21 3/5

Step-by-step explanation:

I think the answer is 21 3/5 because

6×3 3/5=21 3/5 but I'm not positive.

A store is having a sale where customers can buy one shirt and get a second shirt for 30% off. Kate wants to buy two shirts priced at $19 each. How much will she pay?

Answers

Answer:

$32.3

Step-by-step explanation:

First write 30% in the decimal form

30/100 = 0.3

than the equation written in the form

x = 19 + (19 - 0.3× 19)

x = 19 + ( 19 - 5.7)

x = 19 + 13.3

x =$ 32.3

So, Kate will pay $32.3

8. The soccer ball has a diameter of 9 inches. Find its volume.​

Answers

Answer:

You do need to be more specific, the volume of a sphere is V = 4/3 π r^3, it does not need to be related to a cylinder. So if you know the radius, you can calculate the volume. The volume of a cylinder with the same radius and with a height of 2r (since it would be the diameter across) would be V = π r^2 h = 2π r^3.

Step-by-step explanation:

hurry pls i'm giving away 22 point because i only have 35

Answers

Answer:

the median is the middle. you line all the numbers up from lowest to highest, and the middle number is the median

32, 37, 38, 40, 50, 52, 55, 57

45 is the answer. the midle is 40, and 50, and 45 is right in the middle of those numbers

PLS HELP, also watch out for a person sending links there info grabbing dont open

Convert the rectangular coordinates (−2,2sqr3) to polar form. Let r>0 and 0≤θ<2π.

Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.

Answers

Answer:

ler we have a point (x, y) and,

in molar form°

Z = √(x² + y² ) and 0 = tan-¹(y/x).

Since the point (2√3, -2) is in the fourth quadrant, make certain that your angle is also in the fourth quadrant.

The screenshot has the question

Answers

Hopefully this helps

can you help me??????????

Answers

Answer:

D

Step-by-step explanation:

if you look at the first, second, and third it makes a crooked line. Linear equations MUST have a straight line, or it is not a linear function.

The school supply store is selling two different sizes of similar folders. The smaller folder is 6 inches wide and 9 inches
tall. The larger folder is 12 inches tall.
What is the perimeter of the larger folder?

Answers

Answer:

The perimeter of the larger folder is 40 in

Step-by-step explanation:

This is because it says the two folders are similar this means that the width of the larger folder is 8 inches because the scale factor is 4/3. You can see this when you divide the length of the larger folder by the length of the smaller folder. So, if you solve 8+12+8+12 to find the perimeter you will get 40 inches

Name this figure.

A. Trapezoid
B. Rhombus
C. Rectangle
D. Parallelogram


HELP NOW PLEASE !!!!

Answers

Answer:

The figure is a Rhombus.

Step-by-step explanation:

Cause well it looks like a Diamond pretty much. Hope this helps.

Answer:

Parallelogram.

Step-by-step explanation:

This is a rhombus but all rhombus's are considered parallelograms.

Hope this helps!

True or False:

x2 and -2x2 are like terms

Answers

Answer:

true i think....

Step-by-step explanation:

like terms have the same variables  but don't need to have the same coefficients.

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

The perimeter of the base of a square pyramid is 64 inches. The slant height of the pyramid is 9 inches. What is the surface area of the pyramid.

Answers

8350.92=surface area

A=lw+l(w
2)2+h2+w(l
2)2+h2

Answer:

8350.92 = Surface area

Step-by-step explanation:

Use formulas

Length times width for the base

Base times height / 2 for the Triangles

Add them all up and you've got your answer

2. A chemist has a 25% and a 50% acid solution. How
much should be used to form 250 mL of a 35% acid
solution?
A) 80 mL of 50% solutions and 120 mL of 25% solution
B) 150 mL of 50% solution and 50 mL of 25% solution
© 60 ml of 50% solution and 140 mL of 25% solution
D) 50 mL of 50% solution and 150 mL of 25% solution
E) None of the above

Answers

Answer:

x is mL of 25% acid and y is mL of 50% acid

We set up 2 equations:

A) x + y = 250

B) .25 x + .50y = .35 * 250 which equals

B) .25x + .50y = 87.50  Multiplying A) by -.5

A) -.5x -.5y = -125  adding the equations we get

-.25x = -37.50

x = 150 mL

y = 100 mL

Source:  http://www.1728.org/mixture.htm

Step-by-step explanation:

Answer:

x is mL of 25% acid and y is mL of 50% acid

Step-by-step explanation:

Find the perimeter of GHI

Answers

it should be 140 if not I'm srry

5 x f(1) + 5 x g(9)​

Answers

Answer

5 x (f + 9g)

Step-by-step explanation:

I can add my step by step if u want

Answer:

-55

Step-by-step explanation:

got it right on edge

If someone can do this i will give 50 points and brainliest pleasee ASAP

Answers

Answer:

1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.

2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.

1) First shape and Last shape (the cylinder and the cone).

2) First shape and Second shape (the pyramid and the cone).

1) This would be a cone - I included a picture of it.

2) This would be a triangular pyramid - I included a picture of it.

Answer:

The person above me is right

Step-by-step explanation:

Reagan will use a random number generator 1,200 times. Each result will be a digit from 1 to 6 . Which statement best predicts how many times the digit 5 will appear among the 1,200 results?

Answers

Answer:

i think its b

Step-by-step explanation:

Hope it helps have a great day :)

can someone help me plz ​

Answers

Answer:

9442 lb

Step-by-step explanation:

First find the volume of the tank.  This being a sphere, the volume is V =(4/3)π·r³.  Here the diameter is 17 ft, so the radius, r, is half that:  8.5 ft.

Then the volume of the sphere is V = (4/3)π·(8.5 ft)³, and half that (the volume of the hemisphere) is (2/3)π·72.25 ft³.

Water weighs 62.4 lb/ft³.  To find the weight of the water in the full tank, multiply the tank volume by this weight density 62.4 lb/ft³:

×

(2/3)π·72.25 ft³ · 62.4 lb/ft³ ≈ 9442 lb

What is the sign of a.
when a=0 and b < 0?
b
Choose 1 answer:
Positive
Negative
Zero

Answers

Answer:

Zero

Step-by-step explanation:

a=0

So a is neither positive nor negative, its zero.

Please mark brainliest to get your points back!

2. A marketing firm is trying to estimate the proportion of potential car buyers that would consider


purchasing a hybrid vehicle


a. The firm would like their pilot study to have a margin of error that is no more than 4%. How many


people should be in the pilot study in order to meet this goal at the 95% confidence level?


In a sample of 600 potential car buyers, 376 indicated that they would consider purchasing a hybrid


gas/electric powered car.


b. What is the point estimate for the proportion of potential car buyers that would consider buying a


hybrid vehicle? Calculate this value.


c. Find the 95% confidence interval for the true population proportion of potential car buyers that


would consider purchasing a hybrid vehicle.


d. Name two ways we could reduce the margin of error (Hint: think about the sample size n and the


confidence level)

Answers

Answer:

a. The number of people that should be in the pilot study are 600 people

b. The point estimate is 0.62[tex]\overline 6[/tex]

c. At 95% confidence level the true population proportion of potential car buyers of hybrid vehicle is between the confidence interval (0.588, 0.6654)

d. Two ways to reduce the margin of error are;

1) Reduce the confidence interval

2) Use a larger sample size

Step-by-step explanation:

a. The given parameters for the estimation of sample size is given as follows;

The margin of error for the confidence interval, E = 4% = 0.04

The confidence level = 95%

The sample size formula for a proportion as obtained from an online source is given as follows;

[tex]n = \dfrac{Z^2 \times P \times (1 - P)}{E^2}[/tex]

Where, P is the estimated proportions of the desired statistic, therefore, we have for a new study, P = 0.5;

Z = The level of confidence at 95% = 1.96

n + The sample size

Therefore, we have;

[tex]n = \dfrac{1.96^2 \times 0.5 \times (1 - 0.5)}{0.04^2} = 600.25[/tex]

Therefore, the number of people that should be in the pilot study in order to meet this goal at 95% confidence level is n = 600 people

b. The point estimate for the population proportion is the sample proportion  given as follows;

[tex]\hat p = \dfrac{x}{n}[/tex]

Where;

x = The number of the statistic in the sample

n = The sample size

From the question, we have;

The number of potential car buyers, n = 600

The number of respondent in the sample that indicated that they would consider purchasing a hybrid, x = 376

Therefore, the point estimate, for the proportion of potential car buyers that would consider buying a hybrid vehicle, [tex]\hat p[/tex] = 376/600 = 0.62[tex]\overline 6[/tex]

c. The confidence interval for a proportion is given as follows

[tex]CI=\hat{p}\pm z\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex]

Therefore, we get;

[tex]CI=0.62 \overline 6\pm 1.96\times \sqrt{\dfrac{\hat{0.62 \overline 6}\cdot (1-\hat{0.62 \overline 6})}{600}}[/tex]

C.I. ≈ 0.6267 ± 0.0387

The 95% confidence interval for the true population proportion of potential buyers of hybrid vehicle, C.I. =  (0.588, 0.6654)

d. The margin of error is given by the following formula;

[tex]MOE_\gamma = z_\gamma \times \sqrt{\dfrac{\sigma ^2}{n} }[/tex]

Where;

[tex]MOE_\gamma[/tex] = Margin of error at a given level of confidence

[tex]z_\gamma[/tex] = z-score

σ = The standard deviation

n = The sample size

Therefore, the margin error can be reduced by the following two ways;

1) Reducing the confidence interval and therefore, the z-score

2) Increasing the sample size

A or B
Choose 1 answer:

Answers

Answer:

B

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

4 parts broken into 4 parts

Answer:

b

Step-by-step explanation:

since you are dividing by four, the graph must show 1/4 in for divisions.

A shipping company selects 75 random packages to check their weight.It finds that 3 packages were weighed incorrectly. How many packages out of 3000 should the company predict have an incorrect weight?

Answers

Answer: 120 Packages

Step-by-step explanation:

Given

75 random packages are check

3 package is found faulty

So, the percentage of error is

[tex]\Rightarrow \dfrac{3}{75}\times 100=4\%[/tex]

i.e. 4% packages is faulty

For 3000 sample, expected faulty packages are

[tex]\Rightarrow 3000\times \dfrac{4}{100}=120\ \text{Packages}[/tex]

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?
y = 2 (x + seven-halves) squared minus one-fourth
y = 2 (x + seven-halves) squared minus one-half
y = 2(x + 7)2 – 73
y = (x + 7)2 – 24

Answers

Answer:

The person above is correct B)y=2(x+7/2)²+1/2

Step-by-step explanation:

y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

What is vertex form?

If the vertex is (a, b), then the vertex form of an equation can be written as y = p(x-a)² + b, p is a constant.

How to solve this problem?

Here, y = (x + 3)² + (x + 4)²

i.e. y = x² + 6x + 9 + x² + 8x + 16

i.e. y = 2x² + 14x + 25

i.e. y = 2x² + 2*2*(7/2)x + (7/2)² - (7/2)² + 25

i.e. y = 2(x + 7/2)² + 25/2 - 49/4

i.e. y = 2(x + 7/2)² + (50 - 49)/4

i.e. y = 2(x + 7/2)² + 1/4

Therefore, y = 2 (x + seven-halves) squared plus one-fourth equation is y = (x + 3)² + (x + 4)² rewritten in vertex form.

So, no option is correct.

Learn more about vertex form here -

https://brainly.com/question/27614899

#SPJ2

Yasmin purchase 6 heads of cabbage that each 2 3/8 pounds. How much did the cabbage weigh all together?

Answers

Answer:

17.25 lbs

Step-by-step explanation:

6 x 2 3/8

14 1/4

Please correct me if Im wrong

1) Herman made 2 bowls of fruit salad. He used 7 kilograms of melon in all. How many kilograms
of melon, on average, were in each bowl?

Answers

Divide 7 by 2,which equals 3.5

Write the function that fits this graph:
-5
0
5

Answers

Answer:

f(x) = x

Step-by-step explanation:

Plz help me on this one it’s hard :(

Answers

Answer:

x=9

Step-by-step explanation:

9*9=81*10=810 so x=9

can someone solve Pythagorean theorem​

Answers

Answer:

48 units

b= 48 units

Step-by-step explanation:

pythag is [tex]a^2+b^2=c^2[/tex]

we have a and c

so substitute them in

[tex]14^2+b^2=50^2[/tex]

now you can solve

[tex]196+b^2=2500[/tex]

subtract 196 from both sides

[tex]b^2=2500-196[/tex]

subtract

2500 - 196 = 2304

[tex]b^2=2304[/tex]

solve for the square root

square root of 2304= 48

therefore b= 48 units

A storage box has a length of 4 inches, width of 4 inches and height of 3 1/2inches. What is the volume of the box?

Answers

V=LxWxH
4x4x3 1/2 = 56

10 m =_____ mm hurry pls .​

Answers

Answer:

10,000 mm

Hope that helps!

Step-by-step explanation:

Answer:

10000 mm

Step-by-step explanation:

1m = 1000mm

10 x 1000 = 10000mm

the best answer ill give Brainliest i may give it to more than one

Answers

Answer:

a) y = -2/5x + 3   b) (20, 19)

Step-by-step explanation:

a) slope of PQ => 24-9/22-16 = 15/6 = 5/2

perpendicular line have negative reciprocal slope = -2/5

substitute the new slope -2/5(m) and (5, 1) into the equation: y = mx + c  to find the value of c

=> 1 = -2/5(5) + c

=> c = 3

plug in both the slope -2/5(m) and b = 3 into the equation: y = mx + c

=> y = -2/5x + 3

b) (2/3(22 -16), 2/3(24 - 9))=> (4, 10)

(16, 9) + (4, 10) = (20, 19)

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