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Alborosie
3 years ago
5

What is the volume of a sphere with a diameter of 4.9 cm, rounded to the nearest

Mathematics
1 answer:
poizon [28]3 years ago
7 0

Answer:

492.87cm^3

Step-by-step explanation:

Given data

Diameter= 4.9cm

The expression for the volume is

V= 4/3 πr^3

Substitute

V= 4/3*3.142*4.9^3

V= 4/3*3.142*117.649

V=1478.612632 /3

V=492.87 cm^3

Hence the volume is 492.87cm^3

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One week a business sold 40 shirts. White ones cost $4.95, and the printed ones cost 7.95. In al $282 worth of shirts were sold.
Tanya [424]

Answer:

12 white 28 printed

Step-by-step explanation:

x = white y = printed

x + y = 40————(1)

4.95x + 7.95y = 282————(2)

Solve for x using 1st equation

x = 40 - y Plug in for x using 2nd equation

4.95(40 - y) + 7.95y = 282 Solve for y

198 - 4.95y + 7.95y = 282

3y = 84

y = 28         Plug in for y using 1st equation

x + (28) = 40     Solve for x

x = 12

I hope this helped and please mark me as brainliest!

8 0
2 years ago
Read 2 more answers
A hydraulic lift is to be used to lift a 2000-kg weight by putting a weight of 25 kg on a piston with a diameter of 10 cm. Deter
grigory [225]

Answer:

88 centimeters is the diameter of the cilinder

Step-by-step explanation:

The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter

Since pressure P=F/A And P1=P2

F1=2000kg.g

A1=π*r²

F2=25kg.g

A2=π*0.05²

2000/(π*r²)=25/(π*0.05²)

and we solve for A1

r²=2000*0.05²/25

r=\sqrt{\frac{2000*0.05^2}{25}}

r=\sqrt{5}20*0.05/5=0.44m or 44cm

This is the radius, meaning that the diameter will be twice this number

6 0
3 years ago
Read 2 more answers
A rectangular Persian carpet has a perimeter of 220 inches the length of the carpet is 22 inches more than the width what are th
Sedaia [141]

Answer:

length= 65 inches

width= 45 inches

Step-by-step explanation:

65 plus 65= 130

45 plus 45= 90

130 plus 90= 220 in.

5 0
3 years ago
What is<br> 3x-y=9<br> 2x-y=7
svet-max [94.6K]

Answer:

x=2 and y= -3

Step-by-step explanation:

This is a simultaneous equation. To solve this type of equation, there are three methods; substitution, Elimination and Graphical.

But here, we would be using the substitution method.

3x-y=9 Equation 1

2x-y=7. Equation 2

Getting y from equation 2, we have

-y= 7-2x

Multiply both sides by -

y= 2x-7 Equation 3

Substituting y for 2x-7 in equation 1, we have

3x- (2x-7)=9

3x-2x+7=9

x+7=9

x=9-7

x=2

Substituting x as 2 in equation 3

y=2x-7

y= 2(2)-7

y= 4-7

y= -3

5 0
3 years ago
Read 2 more answers
25 points! Please help me!
fgiga [73]

When x = 5. Plug in 5 for x

f(5) = -5(5) - 4

Remember to follow PEMDAS. First, multiply -5 with 5

-5 x 5 = -25

Next, subtract 4

f(5) = -25 - 4

f(5) = -29

B. f(5) = −29 is your answer

hope this helps

8 0
3 years ago
Read 2 more answers
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