Answer
5 and 1360
Step-by-step explanation:
If you divide 20 by 4 it is 5
If you times 20 by 68 mins then it is 1360
Always divided the two numbers they give you to find the rate which is 5 and then you times 68 to 20 to get 1360
Hope this helps
To find the y or x intercept of an equation, all you have to do is set the varibale equal to 0.
However, its best to put it in slope or quadratic form.
y=-8x+4
The y intercept is 4 because when x = 0, y is 4.
Then, we can do the same thing to find the x-intercept but just change it up a bit.
x=-3y+6/4
The x-intercept is 3/2
Step-by-step explanation:
Volume of Cylinder =
![500 {cm}^{3} = \pi {r}^{2} h](https://tex.z-dn.net/?f=500%20%7Bcm%7D%5E%7B3%7D%20%20%3D%20%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
given d = 18
r = 1/2 x d = 9cm,
![\pi( {9}^{2} )h = 500 \\ 81\pi \: h = 500 \\ h = \frac{500}{81\pi} cm](https://tex.z-dn.net/?f=%5Cpi%28%20%7B9%7D%5E%7B2%7D%20%29h%20%3D%20500%20%5C%5C%2081%5Cpi%20%5C%3A%20h%20%3D%20500%20%5C%5C%20h%20%3D%20%20%5Cfrac%7B500%7D%7B81%5Cpi%7D%20cm)
I will leave the answer in terms of Pi as I am not sure how you want to leave your answer as.
Answer:
8) <em>x</em>=9
10) 23 degrees
Step-by-step explanation:
8) vertical angles are congruent to each other so we can set the expressions as such and solve:
<u>7x</u> + 3 = <u>10x</u> - 24
<u>3</u> = 3x<u> - 24</u>
<u>27</u> = <u>3x</u>
9 = x
10) since the angles are complementary they equal 90 degrees, so we can set the expression like this and solve for <em>x</em>:
<u>12x</u> + 7 + <u>6x</u> - 7 = 90
18x <u>+ 7 - 7</u> = 90
<u>18x</u> = <u>90</u>
x = 5
now we plug it back into the expression equivalent to the measure of angle O:
<u>6(5)</u> -7
<u>30 - 7</u>
23 degrees