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2 years ago

2

Mathematics

2 answers:

notsponge [240]2 years ago

6 0

Answer:

Step-by-step explanation:

convert 13 1/3 =39/3+1/3=40/3

A=0.5*bh

A=0.5*(40/3)*10

A=50*(40/3)

A=666.66666666 (6 repeated infinitely)

Round to whatever point you need to

pav-90 [236]2 years ago

3 0

Answer:

I think A=66.67?Not too sure,sorry if I am wrong

Step-by-step explanation:

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Pls help ksp :D thanks!

Gnoma [55]

I think it's the second answer

Hope this helps :)

3 0

3 years ago

one triangle has angles that measure 45 degree and 83 degree. what is the measure of the other angle?

jeka57 [31]

Answer:

52 degrees

Step-by-step explanation:

Every triangles angles sum up to 180 degrees

83+45=128

180-128=52 degrees

7 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circu

Sunny_sXe [5.5K]

Answer:

0.0221 feet per minute.

Step-by-step explanation:

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

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

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

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

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

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

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

$\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute$