3 years ago

5

1 answer:

4 0

This is called the Pythagorean theorem : a ² + b ² = c ². You can substitute any of the variable with any of the known numbers and then you all you have to do is isolate the variable. I hope that helps!!

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A hot air balloon descends 15 feet each minute after having reached an altitude of 362 feet above the ground. What is the altitu

salantis [7]

Answer:

182 feet

Step-by-step explanation:

The equation that describes the motion of the hot air ballon is:

$h(t) = h_0 - vt$

where:

$h_0$ is the initial altitude

v is the rate of descend of the balloon

t is the time

The balloon starts from a height of

$h_0 = 362 ft$

and has a rate of descend of

$v=15 ft/min$

Therefore, after time

t = 12 min

Its altitude will be

$h(12)=362 - (15)(12)=182 ft$

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3 years ago

. If the radius is doubled and the height is halved what is the ratio of the new volume to the original volume

photoshop1234 [79]

Answer: Ratio of new volume to original volume is 2:1.

Step-by-step explanation:

Let the radius of cylinder be 'r'

Let the height of cylinder be 'h'

Original volume of cylinder will be

$V=\pi r^2h$

If radius get doubled,

New radius be '2r'

If height get halved,

New height be will be

$\frac{h}{2}$

so, Volume of cylinder becomes

$Volume=\pi (2r)^2\times \frac{h}{2}=\pi \times 4r^2\times \frac{h}{2}\\\\Volume=2\pi r^2h$

Ratio of new volume to the original volume is given by

$2\pi r^2h:\pi r^2h\\\\2:1$

Hence, Ratio of new volume to original volume is 2:1.

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3 years ago

Jen goes to a carnival with $25.00 to spend.

irinina [24]

Answer:

2 dollars

Step-by-step explanation:

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2 years ago

Need help on this math question

8090 [49]

= 2^-16 * 3^10 * 3^-8 * 3^-12 * 2^28

= 2^(-16 + 28) * 3^(10 - 8 - 12)

= 2^12 * 3^-10

= 2^12 / 3^10

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3 years ago

Graph the quadratic function f(x)=2x^2+16x+30 .

kondor19780726 [428]

See the attached picture:

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3 years ago