I guess B. That statement is grammatically incorrect.
Answer:
x = 45/2 = 22.5 cm
Step-by-step explanation:
2x + 45 = 90
2x = 90- 45= 45
2x = 45
x = 45/2 = 22.5 cm
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Answer:
![\$13,107.96](https://tex.z-dn.net/?f=%5C%2413%2C107.96)
Step-by-step explanation:
Since interest is compounded semi-annually (half a year or 6 months), in a spawn of 2 years, the interest will have been compounded 4 times. As given in the problem, each time the interest is compounded, the new balance will be 107% or 1.07 times the amount of the old balance.
Therefore, we can set up the following equation to find the new balance after 2 years:
![\text{New balanace}=10,000\text{ (old balance)}\cdot 1.07\cdot 1.07\cdot 1.07\cdot 1.07,\\\text{New balanace}=10,000\cdot 1.07^4=\boxed{\$13,107.96}](https://tex.z-dn.net/?f=%5Ctext%7BNew%20balanace%7D%3D10%2C000%5Ctext%7B%20%28old%20balance%29%7D%5Ccdot%201.07%5Ccdot%201.07%5Ccdot%201.07%5Ccdot%201.07%2C%5C%5C%5Ctext%7BNew%20balanace%7D%3D10%2C000%5Ccdot%201.07%5E4%3D%5Cboxed%7B%5C%2413%2C107.96%7D)
Answer:
I'm pretty sure that your answere would be B.have a good day!
Answer: The height of the telephone pole = $15.046
Step-by-step explanation:
Given: Angle of elevation= 62 degrees.
Distance of Ben from the base of the pole = 8 feet
According to trigonometry, we have
![\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}](https://tex.z-dn.net/?f=%5Ctan%20x%3D%5Cdfrac%7B%5Ctext%7Bside%20opposite%20to%20x%7D%7D%7B%5Ctext%7Bside%20adjacent%20to%20x%7D%7D)
i.e.
![\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046](https://tex.z-dn.net/?f=%5Ctan%2062%5E%7B%5Ccirc%7D%3D%5Cdfrac%7B%5Ctext%7B%20height%20of%20the%20telephone%20pole%7D%7D%7B8%7D%5C%5C%5C%5C%281.880726%29%3D%5Cdfrac%7B%5Ctext%7B%20height%20of%20the%20telephone%20pole%7D%7D%7B8%7D%5C%5C%5C%5C%5Ctext%7B%20Height%20of%20the%20telephone%20pole%7D%20%3D%208%5Ctimes%201.880726%5Capprox15.046)
Hence, The height of the telephone pole = $15.046