Part A
The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.

Choose the correct formula.
A. h=Vπr2
B. h=Vπr2
C. h=Vr2π
D. h=Vπr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.

h =
cm

Answers

Answer 1

Answer:

Part A. [tex]h=\frac{V}{\pi r^2}[/tex]

Part B. h= 4cm

Step-by-step explanation:


Related Questions

Find the place value of 7 in 374596

Answers

Answer:

It is tens

Step-by-step explanation:

3 » ones

[tex]{ \boxed{ \sf{7 \: » \: tens}}}[/tex]

4 » hundreds

5 » thousands

9 » ten thousands

6 » hundred thousands

a mechanic has the length of a hole 6 feet long what is the length after two inches is cut off?​

Answers

The answer is 70 inches

26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8​

Answers

Answer:

I = $360

Step-by-step explanation:

Calculate the interest I using

I = PRN

with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then

I = $1500 × 0.03 × 8 = $360

Help!
Which expression is equivalent?
On edge

Answers

Answer: Choice B

[tex]x^{1/8}y^{8}[/tex]

======================================================

Explanation:

The two rules we use are

[tex](a*b)^c = a^c*b^c[/tex]

[tex](a^b)^c = a^{b*c}[/tex]

When applying the first rule to the expression your teacher gave you, we can say that:

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = \left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2}[/tex]

Then applying the second rule lets us say

[tex]\left(x^{1/4}\right)^{1/2}*\left(y^{16}\right)^{1/2} = x^{1/4*1/2}*y^{16*1/2} = x^{1/8}y^{8}[/tex]

Therefore,

[tex]\left(x^{1/4}y^{16}\right)^{1/2} = x^{1/8}y^{8}[/tex]

-------------

In short, we just multiplied each exponent inside by the outer exponent 1/2.

So that explains why the exponents go from {1/4,16} to {1/8,8} for x and y in that exact order.

if x^3+ax^2+bx=6 is exactly divisible by (x-1), prove that a+b=5.​

Answers

Step-by-step explanation:

x-1=0

x=1

subtitute value of x

p(x)=x^3+ax^2+bx

p(1)=(1)^3+a(1)^2+b(1)

p(1)=1+a+b

as p(x) =6. (given)

1+a+b=6

a+b=6-1

a+b=5

Please help

Find the equation to the line below.
1 1
y = [? ]x +
[ ]

Answers

The answer is y=4x+1! Explanation: the slope is 4, and the y intercept is 1. Hope this helps!

Who ever gets it correctly gets 100 points

Answers

Answer:

A,C,D

Step-by-step explanation:

There are 21 red apples and 18 green apples. What is the ratio of green to red apples?

Answers

Answer:

A possible can be 7 red apples for every 6 green apples.

Step-by-step explanation:

21 and 18 have a common factor of 3. 21/3 =7 and 18/3=6. So the answer can be 7 red apples for every 6 green apples. Hope this helps

What is the smallest number that has both 8 and 9 as a
factor?
A 72
B 36
C 54
D 48

Answers

Answer:

A

Step-by-step explanation:

8 and 9 can go in 72.

Look for the LCM of 72

Answer:

72

Step-by-step explanation:

72 has both 8 and 9 as its factors from the alternatives

Apart from 72,

the available options does not have both 8 and 9 being its factors.

Answer the second question. (pls )

Answers

Answer:

How about  c = 15x + 10x?

Step-by-step explanation:

Answer:

i aint too good at this stuff but you can put g=15 and s=10 for the price of just the goby fish and just the shrimp hope this mighta helped

Step-by-step explanation:

evaluate the expression when b=5

Answers

Answer:

8.   10

11.   10

Step-by-step explanation:

put 5 instead of b

8.  (15 - b)

    = (15-5)

   = (10)

11. b +b

  = 5 +5

  = 10

Times 3 excuse the quality !

Find the area of the triangle.

A. 19.2 yd²
B. 9.3 yd²
C. 8.5 yd²
D. 17.1 yd²

Answers

Answer:

8.5 yd sq.

Step-by-step explanation:

[tex]area \: of \: triangle = \frac{1}{2} \times \sin(156) \times 6 \times 7 \\ = 0.41 \times 21 \\ = 8.5[/tex]

An artillery shell leaves a cannon at a speed of 400 meters per second. What is its speed in miles per hour

Answers

The speed is 894.775 mile per hour.

What is the speed?

The certain distance travelled in certain time is speed.

Speed = distance/time.

How to calculate the speed in mile per hour?

1 meter per second = 2.23694 mile per hour

Therefore, 400 meter per second = (400*2.23694) mile per hour

=894.775.

Learn more about speed here :

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Alec wants to purchase a new phone that costs $159.00. His current average net pay is $167.91 each week. What percent of his weekly net pay does Alec need to save each week, for the next six weeks, to reach his goal? Round to the nearest hundredth. (1 point)
1.58%
9.09%
15.78%

Answers

9514 1404 393

Answer:

  15.78%

Step-by-step explanation:

Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...

  159.00 = 6(x(167.91))

  x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%

Alec will need to save 15.78% of his pay.

_____

Additional comment

We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.

Help!!!!!!!!!!!!!!

2x+3=x-7

Answers

Answer:

x = - 10

Step-by-step explanation:

2x+3=x-7

=> 2x - x = - 7 - 3

=> x = -10 (Ans)

Solve for x: 5x + 2 = 4x − 9.

7
−7
11
−11

Answers

Answer:

x= -11

Step-by-step explanation:

5x+2=4x-9 subtract 2 from both sides

5x+2-2=4x-9-2

5x=4x-11 subtract 4x from both sides

5x-4x=4x-4x-11

x= -11

hope that helps>3

I need help solving this question pleeeeasse

Answers

Answer:

Step-by-step explanation:

I’m not what are you talking about

Round this number to the nearest 100,000

927,545

Answers

Answer:

900,000

Step-by-step explanation:

rounding is quite simple, the number 927,545, like all numbers, has different number places/values. the number 9 is in the 100,000th place and to round you look at the number in the place to the right of it which is 2. the number 2 is is less than 5 so it can't raise the number 9 to a ten. because of this, it reduces all of the other numbers to 0. leaving you with the number 900,000

HLP HLP HLP HLP 10 10 10

Answers

Answer:

B. [tex]4^{6}[/tex] ÷ [tex]5^{6}[/tex]

Step-by-step explanation:

its a formula

There is a triangular garden plot with a side of
z
. The second side is
5
feet more than the first. The third side is
2
times the first. Write an expression that represents the perimeter of this garden plot. Make sure to simplify.

Answers

9514 1404 393

Answer:

  P = 4z +5

Step-by-step explanation:

The side lengths are given as (z), (z+5), (2z). The perimeter is the sum of the side lengths:

  P = z +(z +5) +2z

  P = 4z +5

What are m and b in the linear equation, using the common meanings of m and b? 2 + 3x + 5 - 2x = y​

Answers

y=mx+b

[tex]\\ \sf\longmapsto y=2+3x+5+2x[/tex]

[tex]\\ \sf\longmapsto y=3x+2x+2+5[/tex]

[tex]\\ \sf\longmapsto y=5x+7[/tex]

Hence

m=5,b=7

Jenna has
131
131131 dog biscuits. She wants to give them as gifts to each of her
4
44 poodles.

Answers

Hi! I'm happy to help!

To solve for how many biscuits each poodle gets, we have to split or divide the amount of biscuits by the amount of poodles. (We will use division)

131,131,131÷444

295,340.3851... rounded to 295,340

So, each poodle will receive 295,340 dog biscuits. (A LOT)

I hope this was helpful, keep learning! :D

Over a period of 1 1/4
-
years
5/
16
in. of tread has worn off a tire. What was the average tread wear per year?

Answers

1.25/16 in of a tire is worn out

Can anyone help please?

Answers

Ok ok im gonna with C but if it’s wrong i am sooo sorry

formula if cos2A in terms of multiple angle ​

Answers

Answer:

1/sec is rhe answer of 2 cos A

50 Points to correct answer!!!

what is the average rate of change from 2 to 9 of the function represented by the graph?

Answers

Answer:

-3/7

Step-by-step explanation:

It is asking to find the slope of the secant line going through points (2,f(2)) and (9,f(9)).

We must find f(2) by looking at the curve at x=2. We should see that y=2 there so f(2)=2.

We must find f(9) by looking at the curve at x=9. We should see that y=-1 there so f(9)=-1.

The slope of a line is calculated by finding the ratio of the change of y to the change of x.

(-1-2)/(9-2)

(-3)/(7)

-3/7

find dy/dx x=a(cost +sint) , y=a(sint-cost)​

Answers

Answer:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)} \end{aligned}[/tex] given that [tex]a \ne 0[/tex] and that [tex]\cos(t) - \sin(t) \ne 0[/tex].

Step-by-step explanation:

The relation between the [tex]y[/tex] and the [tex]x[/tex] in this question is given by parametric equations (with [tex]t[/tex] as the parameter.)

Make use of the fact that:

[tex]\begin{aligned} \frac{dy}{dx} = \quad \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex].

Find [tex]\begin{aligned} \frac{dx}{dt} \end{aligned}[/tex] and [tex]\begin{aligned} \frac{dy}{dt} \end{aligned}[/tex] as follows:

[tex]\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}[/tex].

[tex]\begin{aligned} \frac{dx}{dt} \ne 0 \end{aligned}[/tex] as long as [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex].

[tex]\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}[/tex].

Calculate [tex]\begin{aligned} \frac{dy}{dx} \end{aligned}[/tex] using the fact that [tex]\begin{aligned} \frac{dy}{dx} = \text{$\frac{dy/dt}{dx/dt}$ given that $\frac{dx}{dt} \ne 0$} \end{aligned}[/tex]. Assume that [tex]a \ne 0[/tex] and [tex]\cos(t) - \sin(t) \ne 0[/tex]:

[tex]\begin{aligned} \frac{dy}{dx} &= \frac{dy/dt}{dx/dt} \\ &= \frac{a\, (\cos(t) + \sin(t))}{a\, (\cos(t) - \sin(t))} \\ &= \frac{\cos(t) + \sin(t)}{\cos(t) - \sin(t)}\end{aligned}[/tex].

If the number 8.2×109 is written in standard notation, it is the number 82 followed by how many zeros?

Answers

Answer:

8 zeroes

Step-by-step explanation:

8.2*10^9=8200000000 which has 8 zeroes

32 + 7 + 2 22 + 192 + 24 + 8 22 + 3 + 2 − 22 − 7 − 15 ÷ 2 − 2

Answers

Answer:

So simple question ask some complicated na yrr

Answer:

1265.5

is that right

i think that question is wrong

If the area of the square above is 144 what is the value of x

Answers

Answer:

It should be 12, but x wasn't defined. My condition could be wrong though.

If the area of the square above is 144. The value of x is the length of the side of the square which is 12 units.

What is the area of a square?

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

We have given the area of the square above is 144.

Let x be the side of the given square.

The area of a square = side x side

[tex]144 = x \times x\\\\144 = x^2\\\\x =\sqrt{144} \\\\x = 12[/tex]

Hence, the length of the side is 12 units.

Learn more about the area ;

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