Child=x
Adult=y
y=3x
5.2x+9.9y=767.8
5.2x+9.9(3x)=767.8
5.2x+29.7x=767.8
34.9x=767.8
x=22
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)
$41.04 you multiply how long and how wide it is together. after that that the answer is 2,070 then divide it by 50 and you get $41.04.
i hope that helps!!
Answer:
D) 4
Step-by-step explanation:
−9 + 12 + (unknown) + −8 = −1
<em>Start by going through and testing each option</em>
−9 + 12 + 2 + −8 =
3 + 2 + −8 =
5 + −8 =
−3
−3 ≠ −1
<em>A) 2 is not possible.</em>
−9 + 12 + −2 + −8 =
3 + −2 + −8 =
1 + −8 =
−7
−7 ≠ −1
<em>B) </em>−<em>2 is not possible.</em>
−9 + 12 + −4 + −8 =
3 + −4 + −8 =
−1 + −8 =
−9
−9 ≠ −1
<em>C) </em>−4<em> is not possible.</em>
<em>From this, D is looking like the answer. But to be sure, test it.</em>
−9 + 12 + 4 + −8 =
3 + 4 + −8 =
7 + −8 =
−1
−1 = −1
<em>D) 4 is the answer.</em>
Answer:
c = 3√5 ≈ 6.708
Step-by-step explanation:
Use the Pythagorean Theorem because this is a right triangle.
a^2 + b^2 = c^2
3^2 + 6^2 = c^2
9 + 36 = c^2
45 = c^2
√45 = c
<u>c = 3√5 ≈ 6.708</u>