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Pavel [41]
2 years ago
12

If the radius of a circle is doubled, how does the area of the circle change?

Mathematics
1 answer:
makkiz [27]2 years ago
5 0

Answer:

Quadruple the size

Step-by-step explanation:

Explanation:

When you enlarge a linear measurement by a scale factor a the area changes by a scale factor a2

So when you double the radius. scale factor 2, the area is increased by a scale factor:

22=4

So the area is quadrupled in this case.

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A spherical balloon is being deflated at a rate of 5 cubic centimeters per second. At what rate is the radius of the balloon cha
Dvinal [7]

Answer:

0.0048cm/s

Step-by-step explanation:

Volume of the spherical balloon is expressed as;

V = 4/3 \pi r^3\\

dV/dt = dV/dr * dr/dt

Given

dV/dt = 5cm³/s

dV/dr = 4πr²

Since V = 972picm³

972π = 4/3πr³

972 = 4/3r³

4r³ = 972 * 3

r³ = (972 *3)/4

r³ = 729

r = ∛729

r = 9cm

dV/dr = 4π(9)²

dV/dr = 324π

dV/dt = dV/dr * dr/dt

5 = 324πdr/dt

dr/dt = 5/324π

dr/dt = 5/324(3.14)

dr/dt = 5/1017.36

dr/dt = 0.0048cm/s

5 0
3 years ago
Help..idk how to do algabra. i didn't pay attention..
kotegsom [21]
Start with 3 one-by-one squares. This represents the '3' in 4t+3

Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long

The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
The small squares have an area of 1*1 = 1. Three of them represent 1+1+1 = 1*3 = 3

This is one possible way to draw it out. See the attached drawing. 

4 0
4 years ago
If diana spends 25 minutes running at the gym how many minutes does she spend lifting weight
eimsori [14]

Answer:

0

Step-by-step explanation:

The question doesn’t say that she lifted weights

6 0
3 years ago
Read 2 more answers
If x is the first of two consecutive integers, express the sum of the two integers in terms of x
makkiz [27]

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

7 0
3 years ago
Read 2 more answers
4. The list below shows the number of songs that five students downloaded last week.
expeople1 [14]

Answer:

Your answer is D

Step-by-step explanation:

4 0
3 years ago
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