When you lose 3 points for 8 questions in a row, you have lost:
8 x 3 points = 24 points lost
Answer:
![40\sqrt3\ m](https://tex.z-dn.net/?f=40%5Csqrt3%5C%20m)
Step-by-step explanation:
Given that,
The height of the tower, h = 40 m
The angle of elevation is 30°
We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,
![\tan(30)=\dfrac{h}{x}\\\\\dfrac{1}{\sqrt3}=\dfrac{40}{x}\\\\x=40\sqrt3\ m](https://tex.z-dn.net/?f=%5Ctan%2830%29%3D%5Cdfrac%7Bh%7D%7Bx%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B%5Csqrt3%7D%3D%5Cdfrac%7B40%7D%7Bx%7D%5C%5C%5C%5Cx%3D40%5Csqrt3%5C%20m)
So, the distance between the tower and the point is equal to
.
Answer:
The number of games sold by Chris = ![(\frac{g}{8} - 17)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bg%7D%7B8%7D%20%20-%2017%29)
Step-by-step explanation:
The total number of employees in the team = 8
The total number of games sold by the whole team = g
The number of games sold by Chris = Average Games sold by each member - 17
Now, ![\textrm{Average number of games sold by each} = \frac{\textrm{Total number of games sold by team}}{\textrm{Total number of people in team}}\\](https://tex.z-dn.net/?f=%5Ctextrm%7BAverage%20number%20of%20games%20sold%20by%20each%7D%20%20%3D%20%5Cfrac%7B%5Ctextrm%7BTotal%20number%20of%20games%20sold%20by%20team%7D%7D%7B%5Ctextrm%7BTotal%20number%20of%20people%20in%20team%7D%7D%5C%5C)
=![\frac{g}{8}](https://tex.z-dn.net/?f=%5Cfrac%7Bg%7D%7B8%7D)
⇒The average number of games sold by each of the team member = g/8
Hence, the number of games sold by Chris = ![(\frac{g}{8} - 17)](https://tex.z-dn.net/?f=%28%5Cfrac%7Bg%7D%7B8%7D%20%20-%2017%29)
Answer:
32
Step-by-step explanation:
3 to the 3rd power is 27 and 2 to the 2nd power is 4 so,
27+20 divided by 4
and PEMDAS so exponents, divided then add. 20 divided by 4 is 5. So 27+5 is 32. Hope this helps!
The measure of the angle formed by 2 chords that intersect inside the circle is 1/2 the sum of the chords' intercepted arcs.
m∠RST = (143+33)/2 = 176/2 = 88°