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garik1379 [7]
3 years ago
11

On the blueprint of a house, 42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its l

ength on the blueprint?
Mathematics
1 answer:
RideAnS [48]3 years ago
5 0

Answer:

26.25 mm

Step-by-step explanation:

On the blueprint of a house, 42 millimeters represents 8 meters. Thus,

42 mm - 8 m,

x mm - 5 m,

mathematically,

\dfrac{42}{x}=\dfrac{8}{5},\\ \\42\cdot 5=8x,\\ \\x=\dfrac{210}{8}=\dfrac{105}{4}=26.25\ mm.

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ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
Which expression is the factored form of −1.5w+7.5 ?
prohojiy [21]

Answer:

c.

Step-by-step explanation:

the most that can be factored out is -1.5,

-1.5 * w = -1.5w

-1.5 * -5 = 7.5

-1.5w + 7.5, so it's

-1.5(w-5)

8 0
2 years ago
Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Check al
natka813 [3]
Find the slope of the line first:
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Since we need a line that's perpendicular, m = - (2/5).

The only equation that has the slope of this m is 2x + 5y = -10;
8 0
3 years ago
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musickatia [10]

Answer:

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2 years ago
Simplify. 8u+9v+3u−5v
musickatia [10]
Combine like terms
8u+3u= 11u
and
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8 0
3 years ago
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