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nevsk [136]
2 years ago
15

Find x. See attached picture.

Mathematics
1 answer:
Serhud [2]2 years ago
3 0

The value of x will be equal to 4√6. The correct option is B.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

The value of side x will be calculated by using the angle properties.

SIn( 45 ) = P / H

Sin (45) = 12 / H

H = 12 / ( 1 / √2) = 12√2

Again using the angle property for finding the value of x.

tan30 = P / B

x = tan30 x B

x = ( 1 / √3 ) x 12√2

x = 4√6

Therefore, the value of x will be equal to 4√6. The correct option is B.

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

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Does each equation represent exponential decay or exponential growth?
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Answer:

1. H = 5.9(0.82)^{t}. Exponential decay function.

2. y = 0.8(3.6)^{t}. Exponential growth function.

3. f(t) = 0.72(15)^{t}. Exponential growth function.

4. A = \frac{4}{9} (8)^{t}. Exponential growth function.

5. A = (\frac{4}{3})^{t}. Exponential growth function.

6.  H = \frac{7}{2} (\frac{5}{6} )^{t}. Exponential decay function.

7. g(x) = 0.3(x). Not an exponential function.

Step-by-step explanation:

1. H = 5.9(0.82)^{t}. This is an exponential decay function.

As the value of t increases H-value decreases.

2. y = 0.8(3.6)^{t}. This is an exponential function of growth.

As the value of t increases y-value also increases.

3. f(t) = 0.72(15)^{t}. This is an another example of exponential growth function.

As the value of t increases f(t)-value also increases.

4. A = \frac{4}{9} (8)^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

5. A = (\frac{4}{3})^{t}. This is again an example of exponential growth function.

As the value of t increases A-value also increases.

6. H = \frac{7}{2} (\frac{5}{6} )^{t}. This is another an example of exponential decay function.

As the value of t increases, H-value decreases.

7. g(x) = 0.3(x). This is a non-exponential function. (Answer)

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