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leonid [27]
3 years ago
14

Which of the following equations is equivalent to s=πr^2h

Mathematics
2 answers:
ioda3 years ago
6 0

Answer:

The equation h=\frac{s}{\pi r^2} is equivalent to s=\pi r^2h. The correct option is B.

Step-by-step explanation:

The given equation is

s=\pi r^2h

Divide both sides by \pi r^2 to isolate h.

\frac{s}{\pi r^2}={\pi r^2h}{\pi r^2}

Cancel out common factors.

\frac{s}{\pi r^2}=h

Therefore the equation h=\frac{s}{\pi r^2} is equivalent to s=\pi r^2h. The correct option is B.

suter [353]3 years ago
5 0

Answer:

h = s / π.r²

Step-by-step explanation:

the given equation is s = π.r².h

Now if we have to calculate the value of h from the given formula then we will solve it so that h remains alone on one side of the equation.

This only possible when we divide term on both the sides by π.r²

s/π.r² = π.r².h/π.r²

h = s / π.r²

Therefore h = s / π.r² is the right option.

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liberstina [14]
Well you have the basic knowledge already you just have to put the numbers i the correct place

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b is the y intercept 

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(does this help?)
7 0
3 years ago
A swimming pool can be filled by any of three hoses A, B or C. Hoses A and B together take 4 hours to fill the pool. Hoses A and
yanalaym [24]

Answer:

3 hours  28 minutes

Step-by-step explanation:

Let A = the RATE at which hose A can fill the pool alone

Let B = the RATE at which hose B can fill the pool alone

Let C = the RATE at which hose C can fill the pool alone

Hoses A and B working simultaneously can pump the pool full of water in 4 hours

From Question. The combined RATE of hoses A and B is 1/4 of the pool PER HOUR

In other words, A + B = ¼

Hoses B and C working simultaneously can pump the pool full of water in 6 hours

From Question. The combined RATE of hoses A and C is 1/4 of the pool PER HOUR

In other words, B + C = 1/6

Hoses A and C working simultaneously can pump the pool full of water in 5 hours

From Question. The combined RATE of hoses A and C is 1/5 of the pool PER HOUR

In other words, A + C = 1/5

At this point, we have the following system:

A + B = 1/4  ...1

B + C = 1/6  ...2

A + C = 1/5  ...3

Considering equation one

A  = 1/4 -B

A = (1 - 4B)/4 ....4

sub equation 4 into 2

(1 - 4B)/4 + C = 1/5

C = B - (1/20)

Considering equation  3

B + [B-(1/20)] = 1/6

B =7/80

Sub B Into enq 1 and 2

A =13/80

C = 3/80

A+B+C = 23/80

          3.47

=> 3 hours

0.47 × 60 = 28minutes

7 0
3 years ago
Read 2 more answers
Maya is interning at a law firm over the summer and is paid by the hour. If her hourly wage is $52, which equation represents th
Lina20 [59]

Answer:

The correct answer is w = 52h

Step-by-step explanation:

Since you are trying to find Maya's hourly pay, you have to use the numbers that are given to you. The problem states that Maya earned $52 per hour, therefore the proportional relationship will be w = 52h.

Hope this helped! :)

5 0
3 years ago
Identify any extrema of the function by recognizing its given form or its form after completing the square. Verify your results
Andrews [41]

Answer:

Step-by-step explanation:

Given that,

g(x, y) = 5 - (x - 3)² - (y + 2)²

Let find the grad of the function,

The grad of a function is defined as

∇g= ∂g/∂x •i + ∂g/∂y •j + ∂g/∂z •k

∇g = gx•i + gy•j + gz•k

gx = -2(x-3) = -2x+6

gy = -2(y+2) = -2y -4

∇g = (-2x+6) •i + (-2y-4)•j

We have a maximum or a minimum If g conservative, then, ∇g = 0i +0j

Then comparing this to the grad of the function

(-2x+6) •i + (-2y-4)•j = 0i +0j

Then, -2x+6 = 0

2x=6

x = 3

Also, -2y-4=0

-2y=4

y = -2

Then, g(x, y) = 5 - (x - 3)² - (y + 2)²

g(x, y) = 5 - (3 - 3)² - (-2 + 2)²

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Second derivative of gx with respect to x

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Second derivative of gy with respect to y

gyy=-2

Second derivative of gx with respect to y

gxy =0

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Then, gyy=gxx

d = -2×-2 -0²

d = 4-0=4

Since d>0

Since d is greater than 0, then, it is not a chair points.

Then, since gxx=-2<0, gyy=-2<0

Cause the second derivative in x (or in y) is less than zero, then the point is relatively maximum

So the maximum point is (3, -2, 5).

6 0
3 years ago
What is the missing angle in this triangle?
Masteriza [31]

Answer:80 degree angle

Step-by-step explanation:

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5 0
3 years ago
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