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2 years ago

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in

Mathematics

1 answer:

Mamont248 [21]2 years ago

5 0

Answer:

Area of trapezoid:

12 + 6<-- your two bases of the trapezoid = 18

18 x 4 = 72, 72 divided by 2 = 36

now we multiply by 2 since there are 2 trapezoids:

36 x 2 = 72

Area of rectangle in front:

6 x 3 = 18

Area of the 2 rectangles on the sides:

5 x 3 = 15

(multiply by 2 since there are two rectangles on both sides)

15 x 2 = 30

Area of rectangle on the back:

12 x 3 = 36

Now lets add up all the areas:

72 + 18 + 30 + 36 = 156 in2 is your answer.

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3 years ago

Read 2 more answers

What is the property of the equation 3x+5 - 5 = 20-5

Shalnov [3]

Answer:

x=5

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand

3x+5-5=20-5

We move all terms containing x to the left and all other terms to the right.

+3x=+20-5-5+5

We simplify left and right side of the equation.

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We divide both sides of the equation by 3 to get x.

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2 years ago

Solve the triangle. Round your answers to the nearest tenth. A. m∠A=43, m∠B=55, a=16 B. m∠A=48, m∠B=50, a=23 C. m∠A=48, m∠B=50,

alexgriva [62]

Answer:

D. m∠A=43, m∠B=55, a=20

Step-by-step explanation:

Given:

∆ABC,

m<C = 82°

AB = c = 29

AC = b = 24

Required:

m<A, m<C, and a (BC)

SOLUTION:

Find m<B using the law of sines:

$\frac{sin(B)}{b} = \frac{sin(C)}{c}$

$\frac{sin(B)}{24} = \frac{sin(82)}{29}$

$sin(B)*29 = sin(82)*24$

$\frac{sin(B)*29}{29} = \frac{sin(82)*24}{29}$

$sin(B) = \frac{sin(82)*24}{29}$

$sin(B) = 0.8195$

$B = sin^{-1}(0.8195)$

$B = 55.0$

m<B = 55°

Find m<A:

m<A = 180 - (82 + 55) => sum of angles in a triangle.

= 180 - 137

m<A = 43°

Find a using the law of sines:

$\frac{a}{sin(A)} = \frac{b}{sin(B)}$

$\frac{a}{sin(43)43} = \frac{24}{sin(55)}$

Cross multiply

$a*sin(55) = 25*sin(43)$

$a = \frac{25*sin(43)}{sin(53)}$

$a = 20$ (approximated)

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3 years ago

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Answer:

"How much did Wang Yong pay each month" answer: $170

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3 years ago

Two skateboarders start a race at the same time. Skateboarder A travels at a steady rate of 15 feet per second. Skateboarder B t

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Answer:

Skateboarder B will have traveled 1,680 feet farther.

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2 years ago

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in​

Find the surface area of the prism 12in 4 in 3in 5in 5in 6in