Answer:
12
Step-by-step explanation:
Mean is the average of all the numbers. Add up all the numbers then divide by how many you have.
Step-by-step explanation:
Volume of a sphere is
![\frac{4}{3} \pi {r}^{3}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7Br%7D%5E%7B3%7D%20)
plug in 70 ft for the radius to get 1,436,755 cubic ft then divide that by 4 since the prompt describes a quarter sphere, giving you a tank volume of 359,189 cubic ft.
Volume of a cylinder is
![\pi {r}^{2} h](https://tex.z-dn.net/?f=%5Cpi%20%7Br%7D%5E%7B2%7D%20h)
from the second prompt we know the tanks are identical since they are said to be congruent which means the hight and radius are the same. Plug in 120 f for h and 35 ft for r to get the volume of a cylinder and then divide that by 2 to get the volume of a single tank. the volume of both tanks would be
![\pi {35}^{2} (120) = 461,814](https://tex.z-dn.net/?f=%5Cpi%20%7B35%7D%5E%7B2%7D%20%28120%29%20%3D%20461%2C814)
To show tank model is a sixth of the original so you divide the radius by 6 and perform the same calculation as in the first portion of the problem ro get the volume a quarter sphere
![\frac{4}{3} \pi {( \frac{70}{6} )}^{3} = 6,652 \: {ft}^{3}](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B3%7D%20%5Cpi%20%7B%28%20%5Cfrac%7B70%7D%7B6%7D%20%29%7D%5E%7B3%7D%20%20%3D%206%2C652%20%5C%3A%20%20%7Bft%7D%5E%7B3%7D%20)
To get the percentage of the model relative to the original you divide the models volume by the full scale volume
![\frac{6652}{1436755} \times 100 = 0.46](https://tex.z-dn.net/?f=%20%5Cfrac%7B6652%7D%7B1436755%7D%20%5Ctimes%20100%20%20%3D%200.46)
which is less than 1% of the full scale volume.
<7 = <5 vertical angles
<5 = <3 alternate interior angles are equal when the lines are parallel
<2 +<3 = 180 straight line ( complementary angles)
3x+20 + <3 = 180
subtract 3x+20 from each side
<3 = 180 -(3x+20)
<3 = 180 -3x-20
<3 =160 -3x
but from above
<3 also = <5 = <7 and <7 = 2x-10
160 - 3x = 2x-10
add 3x to each side
160 = 5x-10
add 10 to each side
170 = 5x
x = 34
substitute in x=34 to find angle 3
<3 = 160 -3x
<3 =160 -3(34)
<3 =58
to find angle 6
<7+<6 = 180
<7 =<3 = 58
58 + <6 = 180
subtract 58 from each side
<6 = 180 -58
<6 = 122
Answer:
Option d is correct.
Step-by-step explanation:
Discrete values are those which take an integer value not in fraction.
Option A is discrete because there will be certain number of students in class say 20 or 30
We can not have 20.5 students
Therefore, option a is correct.
Option B is not discrete because many people can have age say 65 and a half years and weight can be in decimals say 50.5 kgs.
Option C is correct because he is saving a proper integer number of money.
Therefore, option d is correct that is both A and C are correct.
Answer:
y=Q+3D
Step-by-step explanation:
the total amount is y=, than A would be quarters. and you add 3 because there's always 3 more dimes than quarters than add D for dimes.