All categories

3 years ago

Help me find the radius please.

Mathematics

1 answer:

Gnoma [55]3 years ago

6 0

I think the radius you have to

You might be interested in

What is the area of this figure?

shusha [124]

Answer

70

Step By Step

8 0

4 years ago

g Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min, and its coarseness is such that it forms a pile in the sh

Maslowich

Answer:

0.3537 feet per minute.

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 10 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=10$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10$

We want to determine how fast is the height of the pile is increasing when the pile is 6 feet high.

$When h=6$ feet$\\\dfrac{3\pi *6^2}{12}\dfrac{dh}{dt}=10\\9\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{9\pi}\\ \dfrac{dh}{dt}=0.3537$ feet per minute$

When the pile is 6 feet high, the height of the pile is increasing at a rate of 0.3537 feet per minute.

7 0

4 years ago

Label the slope and y intercept

hjlf

The y-intercept will be 8
And then you work out the slope by replacing the c, y and the x in y=mx+c
The y and x will be any of the coordinates above
So it will be 0=m(8)+(8)
0=8m+8
So 8m=-8
Therefore m=-1
So the y-intercept is 8 and the slope is -1

7 0

3 years ago

For approximately how many miles of road will Neil be able to receive Olga's weather updates?

sweet [91]

Answer:

0.7 miles

Step-by-step explanation:

Therefore, It will approximately take 0.7 miles of road for Neil to be able to receive Olga's weather updates.

4 0

3 years ago

What does it mean when the result of solving a linear equation is x = 0?

UkoKoshka [18]

If you solve a linear equation in one variable, "x=0" tells you that substituting 0 for x makes the equation true.

7 0

3 years ago

Help me find the radius please. ​

Help me find the radius please.