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3 years ago

Solve the following equation using the methods learned in this section. 3a2 = 54

Mathematics

1 answer:

MrRissso [65]3 years ago

7 0

The answer is a = 3√2. The explanation and steps of how I got the answer is in the image below.

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Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap

pogonyaev

Answer:

Rate of increase in height = $\frac{dh}{dt}=0.3156ft/min$

Step-by-step explanation:

we know that volume of a cone is given by

$V=\frac{1}{12}\pi d^{2}h$

It is Given that diameter equals height thus we have

$V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}$

Differentiating both sides with respect to time we get

$\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})$

Applying values and solving for $\frac{dh}{dt}$ we get

$\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min$

8 0

3 years ago

How do you solve this? Matt had some candy to give to his four children. He first took two pieces for himself and then evenly di

Rasek [7]

You work it backwards.

-- If there were 4 children and each child got 4 pieces,
then the children got (4 x 4) = 16 pieces altogether.

-- That's what was left after he took 2 pieces for himself.
So he started with (16 + 2) = <em>18 pieces</em>.

7 0

3 years ago

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Circumference of a circle with radius 10 in

azamat

2*pi*10=62.83 is certainly your answer

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2 years ago

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Write the fraction as a sum of fraction three different ways 7/10

Fynjy0 [20]

Answer:

Step-by-step explanation:j7/10. 7 divided by 10. And .7

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3 years ago

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does anyone know how to help me with the letters in math, i dont understand it, and i need help, someone please? if you can can

galina1969 [7]

Answer:

Step-by-step explanation:

Letters are variables and those variable can store a number

Ex: x=5 y=2

evaluate : 3x+2y

we know that x is 5, so we know that 3x would be 15

we know that y is 2, so we know that 2x would be 4

then it says to add 3x and 2y, we would add 15 and 4 to get 19

(This is a very simple example, when you get older, the expression would be much more confusing.

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3 years ago

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