Answer:
b
Step-by-step explanation:
Answer: 14
Step-by-step explanation:
Given
Excavation cone measures
height ![h=6\ ft](https://tex.z-dn.net/?f=h%3D6%5C%20ft)
Diameter ![d=30\ ft](https://tex.z-dn.net/?f=d%3D30%5C%20ft)
Truck can dump
at a time
The volume of a cone is
![V=\dfrac{1}{3}\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2h)
Putting values
![\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cpi%5Ctimes%2015%5E2%5Ctimes%206%5C%5C%5CRightarrow%20V%3D1413.9%5Capprox%201414%5C%20ft%5E3)
No of trips(N) required to accumulate this much volume is given by
![\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14](https://tex.z-dn.net/?f=%5CRightarrow%20N%3D%5Cdfrac%7B1414%7D%7B125%7D%3D13.3%5Capprox%2014)
Therefore, 14 trips are necessary to accumulate a cone of volume ![1414\ ft^3](https://tex.z-dn.net/?f=1414%5C%20ft%5E3)
7.
a. This is an equation because it has to parts, separated by an equal sign
b. 5 because 5 is the number b is multiplied by in the first part
c. idk
d. a, b, and c are the variables
e. idk
sorry haven't done this in a while
Answer:
6 Cut Minimum
Step-by-step explanation:
According to the Question,
You have a 3x3x3 cube.
- First make two cuts parallel to base of the cube each at a distance of 1 unit . This leaves you with three cuboids of dimensions 3x3x1.
- Now make two parallel cuts parallel to the height of the cube. This leaves you with nine cuboids of dimensions 3x1x1.
- Now make the final two cuts each 1 unit apart parallel to width and you are left with 27 cubes of 1x1x1.
So , the final answer is 6 cuts.
Answer:
105°
Step-by-step explanation:
11x-5 + 6x+5 + x = 180
18x = 180
x = 10
m∠Q = 11(10)-5 = 110-5 = 105°