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My name is Ann [436]
4 years ago
10

Find the area of a trapezoid with base lengths 3 and 5 and heigh of 9

Mathematics
1 answer:
Likurg_2 [28]4 years ago
7 0

A <u>trapezoid</u> is a quadrilateral with exactly one pair of parallel sides.

Formula for area: A = \frac{1}{2}(^{b}1 + ^{b}2)(h)

In this formula, the bases are the parallel sides.

Now plug the information into the formula.

A = \frac{1}{2} (3 + 5)(9).

Follow your order of operations, simplify inside the parentheses first.

A = \frac{1}{2}(8)(9).

(1/2)(8) is 4 so we have (4)(9) which is 36.

So the area of the trapezoid is 36.

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torisob [31]

Answer:

y12/5

Step-by-step explanation:

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4 years ago
A sphere has a radius of 3m. Calculate its surface area and round to the nearest hundredth for your final answer.
bonufazy [111]

Answer:

B

Step-by-step explanation:

formula   s =4*pi*r^2

s=4(3.14)(3^2)

s = 12.56(9)s= 113.04

5 0
4 years ago
Hey good morning I need help ASAP thank you guys
mafiozo [28]

Answer:

B. x = 2.77

Step-by-step explanation:

3^x = 21

You first look for a base for 21 that is 3 to the power of something.

21 = 3^2.77

So 3^x = 2^2.77

They have the same base so

x= 2.77

8 0
3 years ago
An architect presents a 3 inch wide by 4 inch deep by 3 inch tall model of a new central campus dorm . If the final building fou
IRISSAK [1]

Answer:

Building depth = 168 ft

Step-by-step explanation:

we must find the relationship (scale) of the model with respect to the building .

wide-m (model) = 3 in

deep-m(model) = 4 in

wide-b (building) = 126 feet

deep-b(building) = x

the measures must be standardized

let's convert feet to inches

12 in      →   1 feet

3   in     →   ?,   then

3 in → 0.25 feet and 4 in → 1/3 feet

now deep-m = x

x=\frac{(1/3)ft*126ft}{0.25ft}=168 ft

8 0
4 years ago
Now, use this information to complete the equation for the line. Write it in slope-intercept form.
garri49 [273]

The equation of the line is y=\frac{3}{2} x+4.

Solution:

Given points are (2, 7) and (0, 4).

Slope of the line formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Here x_1=2, x_2=0, y_1=7, y_2=4

Substitute these in the given formula.

$m=\frac{4-7}{0-2}

   $=\frac{-3}{-2}

$m=\frac{3}{2}

Point-slope formula:

y-y_1=m(x-x_1)

You can take any point in the given line. Here the point is (2, 7).

$y-7=\frac{3}{2} (x-2)

Multiply by 2 on both sides of the equation.

2(y-7)=3(x-2)

2y-14=3x-6

Add 14 on both sides of the equation.

2y=3x+8

Divide by 2 on both sides, we get

$y=\frac{3}{2} x+4

The equation of the line is y=\frac{3}{2} x+4.

3 0
3 years ago
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