X= -2x -15y -45 maybe i’m kinda stupid
Cross multiply 3 times 125 and multiply 25 times x and you should get 375 equals 25x and then divide 375 and 25 and get
x=15
Answer:
The volume of cylinder and the volume of a cone, have equal volume measurements. So, the answer is C).
Step-by-step explanation:
Cylinder:
-Use the formula for the volume of a cylinder. Use both the radius and height for the formula in order to solve and get the volume:
![V = \pi r^2 h](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20r%5E2%20h)
![V = \pi 2^2 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%202%5E2%206)
-Solve:
![V = \pi 2^2 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%202%5E2%206)
![V = \pi \times 2^2 \times 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%202%5E2%20%5Ctimes%206)
![V = \pi \times 4 \times 6](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%204%20%5Ctimes%206)
![V = \pi \times 24](https://tex.z-dn.net/?f=V%20%3D%20%5Cpi%20%5Ctimes%2024)
--------------------------------------------------------------------------------------------------------
Cone:
-Use the formula for the volume of a cone and the radius and height for the formula and solve the formula to get the volume:
![V = \frac{1}{3} \pi r^2h](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2h)
![V = \frac{1}{3} \pi 3^28](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%203%5E28)
-Solve:
![V = \frac{1}{3} \pi 3^28](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%203%5E28)
![V = \frac{1}{3} \times \pi \times 3^2 \times 8](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%203%5E2%20%5Ctimes%208)
![V = \frac{1}{3} \times \pi \times 9 \times 8](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%209%20%5Ctimes%208)
![V = \frac{1}{3} \times \pi \times 72](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Ctimes%20%5Cpi%20%5Ctimes%2072)
![V = \frac{1}{3} \pi \times 72](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%2072)
-So, according to the volume of a cylinder and the volume of a cone, They both have the same volume.
Cylinder:
![ft^3](https://tex.z-dn.net/?f=ft%5E3)
Cone:
![ft^3](https://tex.z-dn.net/?f=ft%5E3)
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer: C
<u>Step-by-step explanation:</u>
4d - 6 < 18
<u> +6</u> <u>+6 </u>
4d < 24
![\frac{4d}{4} < \frac{24}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4d%7D%7B4%7D%20%3C%20%5Cfrac%7B24%7D%7B4%7D)
d < 6
Graph: ←----------------o 6