Answer: ![67.68^{\circ}](https://tex.z-dn.net/?f=67.68%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Given
![\angle W=90^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20W%3D90%5E%7B%5Ccirc%7D)
![VW=32\ ft](https://tex.z-dn.net/?f=VW%3D32%5C%20ft)
![WU=78\ ft](https://tex.z-dn.net/?f=WU%3D78%5C%20ft)
from the figure, we can write
![\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctan%20v%3D%5Cdfrac%7BUW%7D%7BVW%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctan%20v%3D%5Cdfrac%7B78%7D%7B32%7D%5C%5C%5C%5C%5CRightarrow%20%5Ctan%20v%3D2.437%5C%5C%5CRightarrow%20v%3D%5Ctan%5E-1%282.437%29%5C%5C%5CRightarrow%20v%3D67.68%5E%7B%5Ccirc%7D)
Answer:
7miles
equations shown in work image below
work shown on the paper with more explanations because text is hard to write equations (sorry I used km but it is miles for your problem.)
:) please give a heart for thanks
and brainliest crown :)
Step-by-step explanation:
For both d=r*t
Each bikes to others house and leave at the same time so for Tony,
11 = 30*t
t= 11/30 hours
for Gerry,
11 = 25*t
t= 11/25 hours
Comparing these, with LCD,
Tony's time is 55/150
Gerry's time is 66/150
So Tony got to Gerry's house 11/150 hours quicker than Gerry got to Tony's house.
Now they turn around and head back toward each other. If they leave at the same exact time, the elapsed time for each until they met would be the same so t (for tony) = t (for gerry), but Tony got a head start.
We start the stopwatch when Gerry turns around 11/150 hours after Tony has turned around. If Gerry's time to where they meet from Tony's house t(gerry), then Tony's time from Gerry's house is t(gerry) + 11/150
Answer:
It has to burn at a rate of 2.25 cm per hour.
Step-by-step explanation:
Answer:
80 square feet
Step-by-step explanation:
You can split it into a rectangle and a triangle. The area of the rectangle would be 2 * 16 = 32 square feet.
Next, you need to find the height of the triangle. To do this, you can split the triangle into two right triangles and use the pythagorean theorem to find the height. The dimensions of one of the right triangle is 8 for one of the legs and 10 for the hypotenuse. Using the pythagorean theorem, 8^2 + b^2 = 10^2, which is 64 + b^2 = 100, so b^2 = 36 and b = 6. This means that the height is 6. Now, you find the area of the triangle and you get 16 * 6 / 2 = 48.
Adding the area of the rectangle and the triangle: 32 + 48 = 80
Not sure why that's not an answer choice, I'm fairly confident it's right.