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mezya [45]
3 years ago
6

A right triangle has side lengths 7, 24, and 25 as shown below.

Mathematics
1 answer:
amm18123 years ago
7 0

Answer: Cos A  = 0.96, Tan A = 0.29 and Sin A = 0.28

Step-by-step explanation: The right angled triangle can be solved by applying the trigonometric ratios given a follows;

Sin A = opposite/hypotenuse

Cos A = adjacent/hypotenuse

Tan A = opposite/adjacent

In the triangle ABC, the side AB (25) is the hypotenuse [facing the right angle], the side CB (7) is the opposite [facing the reference angle A°] while the side AC (24) is the adjacent [line between the reference angle and the right angle].

Therefore, using angle A as the reference angle;

(a) Cos A = adjacent/hypotenuse

Cos A = AC/AB

Cos A = 24/25

Cos A = 0.96

(b) Tan A = opposite/adjacent

Tan A= CB/AC

Tan A = 7/24

Tan A = 0.29

(c) Sin A = opposite/hypotenuse

Sin A = CB/AB

Sin A  = 7/25

Sin A = 0.28

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Answer:

P = 2/7 = 0.2857 or 28.57%

Step-by-step explanation:

First, we know that we have 15 balls, and we need to know which one of them is pair, and higher than 10.

So, we first need to calculate the probability that the obtained number is pair.

The pair numbers are 2,4,6,8,10,12,14

We have 7 numbers out of 15 ---> P(B) = 7/15

From those numbers, only two of them are higher than 10, which are 12 and 14, so: P(A|B) = 2/15

To get the probability to get a number higher than 10 and pair:

P(A/B) = P(A|B) / P(B)

P(A/B) = 2/15 / 7/15 = 2/7 = 0.2857

To get the percentage: 0.2857 * 100 = 28.57%.

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