Tivo cars leave the same parking lot, with one heading north and the other heading east. After

Mathematics

1 answer:

natulia [17]3 years ago

5 0

The northbound car has traveled a distance of 3 miles.

Step-by-step explanation:

Step 1:

The eastbound car has traveled a distance of 4 miles and if a straight line is drawn between the two car's positions it would measure 5 miles.

This forms a triangle which has a hypotenuse measuring 5 miles while one of the other sides measures 4 miles.

Assume the distance traveled by the northbound car is x miles.

Step 2:

According to Pythagoras' theorem,

$5^{2} = 4^{2} +x^{2}, x^{2} = 5^{2} -4^{2} =9.$

$x^{2} =9, x=3.$

So the northbound car has traveled a distance of 3 miles.

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Manuel bought a balloon (that is a perfect sphere) with a radius of 2 \text{ cm}2 cm2, space, c, m. He wanted his balloon to be

jonny [76]

The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1

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Serhud [2]

Answer:

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Step-by-step explanation:

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