Answer:
α=39.80°
Step-by-step explanation:
applying the law of sin and cos, we have:
![sin\alpha =\frac{75}{117}=0.6410\\\alpha =acs(0.64)= 39.79](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7B75%7D%7B117%7D%3D0.6410%5C%5C%5Calpha%20%3Dacs%280.64%29%3D%2039.79)
and to the nearest tenth of a degree
α=39.80°
Answer:
$501,049.37
Step-by-step explanation:
For computing the amount after 22 years we need to applied the future value which is shown in the attachment below:
Given that
PMT = $9,000
NPER = 22 years
Annual rate = 0.078
Quarterly= 0.078 ÷ 4 = 0.0195
Effective annual rate = (1.0195^4) - 1 = 0.0803113041
Now applied the formula which is given below
= -FV(RATE;NPER;PMT;PV)
After applying the above formula, the future value is $501,049.37
The average score of all the students in both classes is 84.
<h3>How to calculate the average?</h3>
The class with 30 students had an average score of 80 on a test. The total score will be:
= 30 × 80
= 2400
A class with 20 students had an average score of 90 on the same test. The total score will be:
= 20 × 90
= 1800
Total scores = 2400 + 1800 = 4200
Number of students = 20 + 30 = 50
The average score will be:
= Total score / Total students
= 4200 / 50
= 84
Learn more about average on:
brainly.com/question/24313700
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The solution would be like this for this specific problem:
![\left( { - 5} \right) \cdot \left( { - \frac{1}{5}} \right) \cdot \left( {x - 25} \right) = 7 \cdot \left( { - 5} \right)](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%20-%205%7D%20%5Cright%29%0A%5Ccdot%20%5Cleft%28%20%7B%20-%20%5Cfrac%7B1%7D%7B5%7D%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%28%20%7Bx%20-%2025%7D%20%5Cright%29%20%3D%207%20%5Ccdot%0A%5Cleft%28%20%7B%20-%205%7D%20%5Cright%29)
![\left( { - 5} \right) \cdot \left( { - \frac{1}{5}} \right) = 1](https://tex.z-dn.net/?f=%5Cleft%28%20%7B%20-%205%7D%20%5Cright%29%0A%5Ccdot%20%5Cleft%28%20%7B%20-%20%5Cfrac%7B1%7D%7B5%7D%7D%20%5Cright%29%20%3D%201)
The correct sequence of operations when solving
negative one over five (x − 25) = 7 would be multiply each side by −5, and adding
25 to each side.
![\frac{x {}^{0}y {}^{ - 3} }{x {}^{2}y {}^{ - 1} } \\ = \frac{1y {}^{ - 3} }{ {x}^{2}y {}^{ - 1} } \\ = \frac{1 \times 1}{ {x}^{2} y {}^{2} } \\ \\ = \frac{1}{ {x}^{2}y {}^{2} }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%7B%7D%5E%7B0%7Dy%20%7B%7D%5E%7B%20-%203%7D%20%20%7D%7Bx%20%7B%7D%5E%7B2%7Dy%20%7B%7D%5E%7B%20-%201%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1y%20%7B%7D%5E%7B%20-%203%7D%20%7D%7B%20%7Bx%7D%5E%7B2%7Dy%20%7B%7D%5E%7B%20-%201%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%20%5Ctimes%201%7D%7B%20%7Bx%7D%5E%7B2%7D%20y%20%7B%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B%20%7Bx%7D%5E%7B2%7Dy%20%7B%7D%5E%7B2%7D%20%20%7D%20)
Step by Step Explanation:
- Evaluate the power: Any non-zero expression raised to the power of 0 equals 1
- Simplify: Simplify the expression
- Calculate the product: Any expression multiplied by 1 remains the same.
<h2>☆彡Hanna</h2>
#CarryOnLearning