Answer:
m=9t
Step-by-step explanation:
to figure out how much money you earned, you have to multiply how long you worked by the amount you get paid
Answer:
(4, 7)
Step-by-step explanation:
The point of interest is ...
P = (2Z +1Y)/(2+1) = ((2·3+6)/3, (2·9+3)/3)
P = (4, 7)
__
The point that divides the segment into the ratio a:b is the weighted average of the endpoints, with the weights being "b" and "a". The weight of the first end point corresponds to the length of the far end of the segment.
N-10+9n-3
n+9n=10n
10-3=7
so the answer is....
-13+10n
Answer:
![59.19 ft^2](https://tex.z-dn.net/?f=59.19%20ft%5E2)
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
![r=7.2\ ft](https://tex.z-dn.net/?f=r%3D7.2%5C%20ft)
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![A=(3.14)(7.2)^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%287.2%29%5E%7B2%7D)
![A=162.78\ ft^2](https://tex.z-dn.net/?f=A%3D162.78%5C%20ft%5E2)
step 2
we know that
The area of a circle subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector with a central angle of 8 π/11 radians
![\frac{162.78}{2\pi }\frac{ft^2}{rad} =\frac{x}{(8\pi/11)}\frac{ft^2}{rad} \\\\x=162.78(8/11)/2\\\\x=59.19\ ft^2](https://tex.z-dn.net/?f=%5Cfrac%7B162.78%7D%7B2%5Cpi%20%7D%5Cfrac%7Bft%5E2%7D%7Brad%7D%20%3D%5Cfrac%7Bx%7D%7B%288%5Cpi%2F11%29%7D%5Cfrac%7Bft%5E2%7D%7Brad%7D%20%5C%5C%5C%5Cx%3D162.78%288%2F11%29%2F2%5C%5C%5C%5Cx%3D59.19%5C%20ft%5E2)
15. -(-7y + 12) = 7y - 12
16. 1/a = 16/18
cross multiply
16a = 18
a = 18/16 = 9/8
17. 8x - 12 = 4x + 24
8x - 4x = 24 + 12
4x = 36
x = 36/4
x = 9
18. -6b > 42 4b > -4
b < 42/-6 b > -4/4
b < - 7 b > -1
so b < -7 and b > -1
19. 6 more then the product of 8 and n
6 + 8n
20. 45 = 3b + 69
45 - 69 = 3b
-24 = 3b
-24/3 = b
-8 = b