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3 years ago

Find the lateral area and surface area of a regular hexagonal right prism is the base edges are 10 and the height is 12.

Mathematics

1 answer:

nadezda [96]3 years ago

3 0

Answer:

Step-by-step explanation:

a hexagonal prism is made up of two bases that are hexagons and six faces that are rectangles.

Lateral surface area, LA = Perimeter × height

Perimeter = number of sides × length of each side

Perimeter, P = 6 × 10 = 60

LA = 60 × 12 = 720 units squared

Area of each base, B = 1/2a × perimeter

Where

a = apotherm

We would determine the length of the apotherm of each base of the prism by applying the formula,

a = s/[2tan(180/n)]

Where

s = length of each side = 10

n = 6 sides

a = 10/[2tan(180/6) = 10/[2tan30)

a = 8.66

B = 1/2 × 8.66 × 60 = 259.8

Total surface area = LA + 2B

Total surface area = 720 + 2 × 259.8 = 1239.6 units squared

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Answer:

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3 years ago

Given ∠A and ∠B are vertical angles with m∠A=20x+10 and m∠B=30x−10 .

MrRissso [65]

Answer:

since angle a and b are vertical angles

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3 years ago

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A) 1 2 /5 x 2 1 /7 ÷ 1 4 /5 =

Pavel [41]

Answer:

a) (Assuming it's $\frac{1\frac{2}{5} \times 2\frac{1}{7} }{1\frac{4}{5}}$ ) he result is 1.

b) Smallest amount is $60,000. Total amount is $300,000.

Step-by-step explanation:

a) Let's do!

$\frac{1\frac{2}{5} \times 2\frac{1}{7} }{1\frac{4}{5}}=\frac{\frac{7}{5} \times \frac{9}{7} }{\frac{9}{5}}=1\\$

b) Let's have the proportion 2:3:5, then the paid amounts were

2x, 3x and 5x (total amount 10x)

The largest amount: 5x = $150,000

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ii) The total amount is 10x = $300,000

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3 years ago

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Answer:

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3 years ago

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