It should be 95,040. On the first day, you have 12 choices. On the second, eleven, and so on, until day 5. 12x11x10x9x8.
Answer:
916.1 cm^3
Step-by-step explanation:
1) find the radius of the cylinder:
radius = dimater / 2 = 7,3 / 2 = 3.65 cm
2) find the base area of the cylinder:
base area = radius^2 x 3.14 = 3.65^2 x 3.14 = 41.83265 cm^2
3) find the height of the cylinder:
height = 7.3 x 3 = 21.9 cm
4) find the volume
V = base area x height = 41.83265 x 21.9 = 916.135035 cm^3
5) round to nearest tenth:
916. 1 cm^3
Answer:
Answer Cone Z and Cylinder Y.
Step-by-step explanation:
The relationship between the volume of the cone and the volume of the cylinder with the same height and same base is the volume of the cone is 1/3 of the volume of the cylinder.
The formula for the volume of the cone is :
V = 1/3π
h
The formula for the volume of the cylinder is :
V = π
h
Let be the height of the cylinder Y. Therefore the height of the cone Z is 3h, when we put it into the formula we get :
V = 1/3π
(3h) = π
h
Therefore Cone Z and Cylinder Y have same volume.
Answer: ![m\angle 1=109\°\\m\angle 2=71\°](https://tex.z-dn.net/?f=m%5Cangle%201%3D109%5C%C2%B0%5C%5Cm%5Cangle%202%3D71%5C%C2%B0)
Step-by-step explanation:
It is important to remember the definition of "Linear pair angles".
By definitiion "Linear pair angles" are two angles which are adjacents and supplementary.
Based on this, we know that the angles
and
are supplementary, which means that they add up to 180 degrees.
So, knowing that:
![m\angle 1=5x+9\\m\angle 2=3x+11](https://tex.z-dn.net/?f=m%5Cangle%201%3D5x%2B9%5C%5Cm%5Cangle%202%3D3x%2B11)
We can write the following expression and solve for "x":
![(5x+9)+(3x+11)=180\\\\8x=180-20\\\\x=\frac{160}{8}\\\\x=20](https://tex.z-dn.net/?f=%285x%2B9%29%2B%283x%2B11%29%3D180%5C%5C%5C%5C8x%3D180-20%5C%5C%5C%5Cx%3D%5Cfrac%7B160%7D%7B8%7D%5C%5C%5C%5Cx%3D20)
Therefore, substituting, we get that the measures of the angles
and
are:
![m\angle 1=5(20)+9=109\°\\\\\\m\angle 2=3(20)+11=71\°](https://tex.z-dn.net/?f=m%5Cangle%201%3D5%2820%29%2B9%3D109%5C%C2%B0%5C%5C%5C%5C%5C%5Cm%5Cangle%202%3D3%2820%29%2B11%3D71%5C%C2%B0)
Answer:
3
Step-by-step explanation: