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3 years ago

Describe the effect on the area of a circle when the radius is doubled

Mathematics

1 answer:

galina1969 [7]3 years ago

5 0

Answer:

The original area would be multiplied by the scale factor of 2² to get the new area.

Step-by-step explanation:

If you double the radius lets so lets do an example

(a=πr²) so

if x is the radius the area would be x²π

double the radius so 2x then the area would be

(2x)²π so 4x²π

4x²π/x²π= 4 so its 4 times greater or

D the last answer or The original area would be multiplied by the scale factor of 2² to get the new area.

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Evaluate the function f(x) = x2 + 3x for both of the following:

marissa [1.9K]

F(x)=x²+3x

f(0)=0²+3*0=0+0=0

Answer: f(0)=0

f(4)=4²+3*4=16+12=28

Answer: f(4)=28

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3 years ago

A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm.

Step2247 [10]

Answer:

The volume of the finished cylinder is $4486.2 m^3$

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

$V = \pi *7^2 * 28\\V = 4310.3 m^3$

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

$V = \pi *10^2 * 28\\V = 8796.5 m^3$

Hence, the volume of the finished cylinder will be:

$8796.5 - 4310.3 = 4486.2 m^3$

The volume of the finished cylinder is $4486.2 m^3$

8 0

2 years ago

17. Find m2 USW if m_ USW = 7x - 34 and m2 TSR = 4x + 29.

SVEN [57.7K]

Answer:

Step-by-step explanation:

Find the diagram attached. From the diagram, we can see that;

<USW = <TSR (vertically opposite angles)

Given

<USW = 7x-34

<TSR = 4x+29

Equate

7x-34 = 4x+29

7x-4x = 29+34

3x = 63

x = 63/3

x = 21°

Find <USW

<USW =7x-34

<USW =7(21)-34

<USW = 147-34

<USW = 113°

Hence the measure of <USW is 113°

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3 years ago

1. Solve.

Ivahew [28]

Step-by-step explanation:

2x × 3x +(-5×1)=6x-6=o

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3 years ago

Read 2 more answers

Although 330° is a special angle on the unit circle, Amar wanted to determine its coordinates using the sum and difference formu

Dvinal [7]

Answer:

Here you go.Hope this help!!

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2 years ago