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ivolga24 [154]
3 years ago
10

Find the lateral area of the regular prism with height h , if the base of the prism is: Equilateral triangle with the side 4 cm

and h =2.5 cm
Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

the lateral area of the regular prism is 30 cm².

Step-by-step explanation:

Given;

the base of the regular prism, b 4cm

height of the prism, h = 2.5 cm

The lateral area of the regular prism is calculated as the product of the base perimeter and height of the prism.

L.A = P x h

where;

P is the perimeter of the base = 3 x 4cm (equilateral triangle has equal sides)

P = 12 cm

L.A = 12 cm x 2.5 cm

L.A = 30 cm²

Therefore, the lateral area of the regular prism is 30 cm².

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Brandon is putting a rectangular fence around his garden to keep the animals from stealing his vegetables. The perimeter of the
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Suppose that four microchips in a production run of fifty are defective. A sample of six is to be selected to be checked for def
Irina-Kira [14]

Answer:

a) 15,890,700 different samples can be chosen

b) 6,523,881 will contain at least one defective chip

c) 41.1%

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the microchips are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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C_{50,6} = \frac{50!}{6!(50-6)!} = 15890700

15,890,700 different samples can be chosen

(b) How many samples will contain at least one defective chip?

Either a sample contains no defective chip, or it contains at least one. From a), the sum of them is 15890700.

Then

No defective chips:

Four are defective.

So 50-4 = 46 are not.

This is samples of 6 from a set of 46.

C_{46,6} = \frac{46!}{6!(46-6)!} = 9366819

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At least one:

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6,523,881 out of 15,890,700

6,523,881/15,890,700 = 0.411

As a percent

41.1%

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