Answer:
Step-by-step explanation:
(x₁, y₁) = (-9 ,8) and (x₂ , y₂) = (-3 , -1)
![Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-8}{-3-[-9]}\\\\=\dfrac{-9}{-3+9}\\\\=\dfrac{-9}{6}\\\\=\dfrac{-3}{2}](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-1-8%7D%7B-3-%5B-9%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B-3%2B9%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-9%7D%7B6%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-3%7D%7B2%7D)
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft
Answer:
16,700
Step-by-step explanation:
Given that,
Earning of Ethan = 38,428
Ethan spends 21,728 on expenses.
We need to find the amount of money he has left over. It can be calculated as follows :
Left money = Earning - Spent
= 38,428 - 21,728
= 16,700
So, he has left over 16,700.
1) 5N in one direction and 5N in the other direction will cancel out.
= <u>0N</u>
2) 3N in one direction and 5N in the same direction will amplify the force. Add them up
= <u>8N</u>
MO = 12 and PR = 3
Solution:
Given
.
Perimeter of ΔMNO = 48
Perimeter of ΔPQR = 12
MO = 12x and PR = x + 2
<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles.</em>


Do cross multiplication.


Subtract 48x from both sides.


Divide by 96 on both sides, we get
⇒ 1 = x
⇒ x = 1
Substitute x = 1 in MO an PR.
MO = 12(1) = 12
PR = 1 + 2 = 3
Therefore MO = 12 and PR = 3.