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Helen [10]
3 years ago
14

Find the area of the trapezoid. leave your answer in simplest radical form.

Mathematics
2 answers:
uranmaximum [27]3 years ago
5 0

Answer:

Area = 170 ft^2

Step-by-step explanation:

Area of Trapezoid is given by the formula  A=\frac{1}{2}(b_1+b_2)h

Where

b1 and b2 are the two bases (parallel sides)

h is the height

<em>In our diagram, the two bases are 12 and 22, but the height (let it be h) isn't given.</em> To find the height (the dotted line), we use the right triangle which has an angle given as 45°.

Since the height is the "opposite" side to angle and we know the base of the triangle (22-12=10), which is the "adjacent" side, we can use the ratio of tan. Note, tan 45° = 1.

Tan(45)=\frac{h}{10}\\h=Tan(45)*10\\h=1*10\\h=10

Now we can plug the information into the formula and solve for area. So:

Area = A=\frac{1}{2}(b_1+b_2)h\\A=\frac{1}{2}(12+22)(10)\\A=\frac{1}{2}(34)(10)\\A=170

Thus Area = 170 ft^2

Alik [6]3 years ago
4 0

Answer:

170 ft²

Step-by-step explanation:

We can divide this figure into two parts.

We have the rectangle part and the triangle,

Area of the triangle = 1/2 bh

base = 22 - 12 = 10 ft

height = 10×tan 45°

            = 10 × 1 = 10 ft

∴ Area = 1/2 × 10 × 10

            = 50 ft²

Area of the rectangle = length × width

length = 12 ft

width = 10 ft

Area = 12 × 10

        = 120 ft²

Total area of the trapezoid = 120 + 50

                                            = 170 ft²

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Zigmanuir [339]

one hundred thirty two million, eight hundred eighty thousand and sixteen

(Your commas are in the incorrect spot)

fifteen thousand, eight hundred and two

7 0
3 years ago
Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,
xz_007 [3.2K]

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

7 0
1 year ago
What is the solution to the equation?
Oxana [17]

ANSWER

(C) d=1

EXPLANATION

The given equation is

\frac{ - 3d}{ {d}^{2} - 2d - 8} +  \frac{3}{d - 4}  =  \frac{ - 2}{d + 2}

Factor the first fraction to get,

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Multiply through by (d+2)(d-4)

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Expand:

- 3d + 3d + 6 =  - 2d + 8

6 =  - 2d + 8

6  - 8=  - 2d

- 2 =  - 2d

divide both sides by -2

d = 1

7 0
3 years ago
Read 2 more answers
De que otra manera puedo escribir z diferente a 7
kirza4 [7]
Puede ser el 2 creo pero espera a q algien más responda
3 0
3 years ago
Ten pieces of candy are in a bag. They all have the same shape; but 2 pieces are butterscotch flavored, 5 pieces are
gayaneshka [121]

Answer:

\frac{4}{5}

Step-by-step explanation:

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3 years ago
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