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3 years ago

What is the volume of the cylinder? 16cm height and 6cm radius

Mathematics

1 answer:

Gennadij [26K]3 years ago

8 0

Answer:

V = 576 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h where r is the radius and h is the height

V = pi * (6)^2 * 16

V = pi *36*16

V = 576 pi cm^3

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PLS HELP ASAP If -2 is added to each of the x and y intercepts of the line 3x + 2y = 6, find the new equation of the line

ella [17]

Answer:

3x + 2y = -4

Step-by-step explanation:

x intercept of the line occurs at y = 0

Given the equation 3x+2y = 6

3x+2(0) = 6

3x = 6

x = 2

The x intercept is at (2, 0)

Adding -2 to each axis will give (2-2, 0-2) = (0, -2)

y intercept of the line occurs at x = 0

Given the equation 3x+2y = 6

3(0)+2y = 6

2y = 6

y =3

The x intercept is at (0, 3)

Adding -2 to each axis will give (0-2, 3-2) = (-2, 1)

The new coordinates are (0, -2 and (-2, 1)

Using the point slope form of the equation y - y0 = m(x-x0)

slope m = y2-y1/x2-x1

m = 1-(-2)/-2-0

m = 1+2/-2

m = -3/2

Using m = -3/2 and (0, -2)

y - (-2) = -3/2(x-0)

y+2 = -3/2 x

2(y+2) = -3x

2y+4 = -3x

-3x-2y = 4

3x + 2y = -4

Hence the required equation is 3x + 2y = -4

7 0

2 years ago

Which two expressions are equivalent to 20 + 48 ?

monitta

Answer:

A and D

Step-by-step explanation:

2(10)=20

2(24)=48

20+48

4(5)=20

4(12)=48

20+48

i hope this helps!

3 0

2 years ago

Susan took out a personal loan for $3,500 at an interest rate of 13% compounded monthly. she made arrangements to pay the loan o

Nadya [2.5K]

Susan's monthly payment will be $117.93.

We have Susan take out a personal loan for $3,500 at an interest rate of 13% compounded monthly.

P=3500

r=30%

t=3

<h3>What is the amortization formula?</h3>

$A = \frac{P(\frac{r}{12} )}{(1 -(1 +r/12)^{(-12t)}}$

Where A is the payment,

P= principal,

r =the annual interest rate

t is the number of years.

use the given value in the formula we get

$A = \frac{3500(0.13/12)}{(1 -(1 +0.13/12)^{-36} }$

A=117.9288

A= 117.93

Susan's monthly payment will be $117.93.

To learn more about the monthly payment visit:

brainly.com/question/25109150

5 0

1 year ago

The last time Reid checked, his dog weighed 30 kilograms. Reid just measured his dog again and found out that it weighs 10% less

Vedmedyk [2.9K]

I Think he weighs 27 pounds now correct me if i'm wrong

3 0

2 years ago

Gavin likes biking. This week his goal is to bike about 65 total miles over four days. Each day he wants to ride 1.5 times as fa

IRISSAK [1]

Step-by-step explanation:

let the first-day ride be x

Then the second-day ride will be =1.5 x

The third-day ride will be=1.5(1.5x)

The Fourth-day ride will be=1.5*1.5(1.5x)

hence for the four days the distance covered is

65=x+1.5x+1.5*1.5x+1.5*1.5*1.5x

65=x+1.5x+2.25x+3.375x

65=8.125x

divide both sides by 8.125 we have

x=65/8.125

x=8mile

the first-day ride be x=8miles

the second-day ride will be =1.5 x =1.5*8= 12miles

The third-day ride will be=1.5(1.5x) = 18miles

The Fourth-day ride will be=1.5*1.5(1.5x) = 27miles

5 0

2 years ago