Answer:
<h3>The length of y is 62.82 cm.</h3>
Step-by-step explanation:
We are given a right triangle with an angle 30°.
Opposite side of angle 30° is x and adjacent side is y.
Also, given length of side x=36.25 cm.
In order to find the value of y, we need to apply tangent trigonometrical ratio.
We know,
![tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%5Cfrac%7BOpposite%20%5C%20Side%7D%7BAdjacent%20%5C%20Side%7D)
Therefore,
![tan \theta =\frac{x}{y}](https://tex.z-dn.net/?f=tan%20%5Ctheta%20%3D%5Cfrac%7Bx%7D%7By%7D)
Plugging values of
and x=36.25, we get
![tan 30^o=\frac{36.25}{y}](https://tex.z-dn.net/?f=tan%2030%5Eo%3D%5Cfrac%7B36.25%7D%7By%7D)
Plugging value of
in above equation, we get
![0.577=\frac{36.25}{y}](https://tex.z-dn.net/?f=0.577%3D%5Cfrac%7B36.25%7D%7By%7D)
On multiplying both sides by y, we get
![0.577\times y=\frac{36.25}{y}\times y](https://tex.z-dn.net/?f=0.577%5Ctimes%20y%3D%5Cfrac%7B36.25%7D%7By%7D%5Ctimes%20y)
0.577y=36.25
Dividing both sides by 0.577, we get
![\frac{0.577y}{0.577} =\frac{36.25}{0.577}](https://tex.z-dn.net/?f=%5Cfrac%7B0.577y%7D%7B0.577%7D%20%3D%5Cfrac%7B36.25%7D%7B0.577%7D)
y=62.82
<h3>Therefore, the length of y is 62.82 cm.</h3>
The simplified expression of 32/5 x 3(-7/5) is -672/25
<h3>How to simplify the expression?</h3>
The mathematical expression is given as:
32/5 x 3(-7/5)
Evaluate the product of 3 and -7/5
32/5 x 3(-7/5) = 32/5 x -21/5
Evaluate the product of 32 and -21
32/5 x 3(-7/5) = 672/5 x -1/5
Evaluate the product of 5 and 5
32/5 x 3(-7/5) = 672/25 x -1
So, we have:
32/5 x 3(-7/5) = -672/25
Hence, the simplified expression of 32/5 x 3(-7/5) is -672/25
Read more about expressions at:
brainly.com/question/723406
#SPJ1
Answer:
Step-by-step explanation:
Explicit formula of the sequence,
![A_n=59+11n](https://tex.z-dn.net/?f=A_n%3D59%2B11n)
![A_1=59+11(1)](https://tex.z-dn.net/?f=A_1%3D59%2B11%281%29)
![A_1=70](https://tex.z-dn.net/?f=A_1%3D70)
![A_2=59+11(2)](https://tex.z-dn.net/?f=A_2%3D59%2B11%282%29)
![A_2=81](https://tex.z-dn.net/?f=A_2%3D81)
![A_3=59+11(3)](https://tex.z-dn.net/?f=A_3%3D59%2B11%283%29)
![A_3=92](https://tex.z-dn.net/?f=A_3%3D92)
![A_4=59+11(4)](https://tex.z-dn.net/?f=A_4%3D59%2B11%284%29)
![A_4=103](https://tex.z-dn.net/?f=A_4%3D103)
![A_5=59+11(5)](https://tex.z-dn.net/?f=A_5%3D59%2B11%285%29)
![A_5=114](https://tex.z-dn.net/?f=A_5%3D114)
Answer:
1
Step-by-step explanation:
Any number raised to the 0th power is 1, except for 0; 0 to the 0th power is undefined.
Charge per day = $90 / 15 = $ 6
<span>Charge per year = $ 6 * 365 1/4 ( If the year contains 365 1/4 days) </span>
<span>= $ 2191.5 </span>
<span>As a percentage = 2191.5 / 1460 * 100 = 150 %
So the answer should be 150%</span>