Boy is 22.5 feet high from the ground
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x
sin(22.5°) = x / 58
x = 58sin22.5 = 58(.38258) = 22.5 feet high.
Thus the Boy is 22.5 feet high from the ground.
Learn more about trigonometry here :
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Answer:
<u>390.4 in.²</u>
Step-by-step explanation:
- Area of sector = πr² x θ/360
- Area = 22/7 x 64 x 70/360
- Area = 11 x 10 x 32 x 1/9
- Area = 320 x 11/9
- Area = 320 x 1.22
- Area = <u>390.4 in.²</u>
Answer:
-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C
Step-by-step explanation:
The fraction will be split into a sum of two other fractions.
The first fraction will have a denominator of x − 5. The numerator will the a polynomial of one less order, in this case, a constant A.
The second fraction will have a denominator of x² + 4. The numerator will be Bx + C.

Combine the two fractions back into one using the common denominator.

This numerator will equal the original numerator.

Match the coefficients.

Solve the system of equations.

So we can rewrite the integral as:

Solving:




Answer:
Exponential function: a*b^x
if B is less than 1, it is a decay function
if B is more than 1, then it is a growth function
if B is 0, then the function neither decreases nor increases
Example 1: 100*0.14^x
The y-intercept is decreasing by 86%
Example 2: 3000*1.14^x
The y-intercept is increasing by 14%
Example 3: 400*0
The y-intercept is neither decreasing nor increasing
Going back to the function, <u>a</u> is the y-intercept, and <u>b</u> is the rate
<u>I hope this will help you, I just started to learn about exponential functions..</u>
Answer: First option.
Step-by-step explanation:
Given the following equation provided in the exercise:
![\sqrt[3]{x+8}=-4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B8%7D%3D-4)
You can follow the steps indicated below in order to find the solution of this equation:
1. Cubing both sides of the equation, you get:
![(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7Bx%2B8%7D%29%5E3%3D%28-4%29%5E3%5C%5C%5C%5Cx%2B8%3D-64)
2. Finally you must subtract 8 from both sides of the equation:

You can notice that this solution matches with the first option.