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8_murik_8 [283]
2 years ago
5

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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When you do 10^2 you get 100 and you multiply that by the height so 16 and you get 1600.
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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.

+3x=+15

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

x=5

6 0
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
Wang Yong owes the bank $8500. To repay the debt, he paid a fixed amount back to the bank each month. After 12 months, his remai
-Dominant- [34]

Answer:

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

"How long did it take Wang Yong to pay back his entire debt?" answer: 50 months

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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
bezimeni [28]

Answer:

Skateboarder B will have traveled 1,680 feet farther.

Step-by-step

Possible reasoning: There are 240 seconds in 4 minutes

3 0
2 years ago
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