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Liula [17]
4 years ago
10

Find the surface area of the prism 4cm 5cm 12cm 13cm

Mathematics
2 answers:
inysia [295]4 years ago
7 0
The answer would depend on where the numbers you gave us are on the pyramid. but here is the formula  to find the surface area of a prism; 
surface area= base x height + 2 x length x side + length x base
i will do the equation for you if you specify which numbers are the base, length, side, and height. or if you attach a photo.
GaryK [48]4 years ago
3 0

Answer with explanation:

Surface area of any Prism = P H + 2 B

P= Perimeter of base

H= Height of prism

B= Base Area

As, prism is Right triangular Prism, having side lengths, 5 cm ,12 cm and 13 cm,and Height = 4 cm.

Perimeter of Base which is in the shape of triangle = 5 +12 +13=30 cm

Area of Right triangle, having Altitude and Base =5 cm and 12 cm

    =\frac{1}{2} \times \text{base}\times \text{height}\\\\=\frac{1}{2} \times 5 \times 12\\\\=30 cm^2

So, Surface Area of Prism = 30 × 4 +2 ×30

                           =120 +60

                           =180 cm²

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Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
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Step-by-step explanation:

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7 0
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