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3 years ago

The figure below shows a 39-inch ramp that is attacked to a deck.

Mathematics

2 answers:

rodikova [14]3 years ago

7 0

Answer: 15

Step-by-step explanation:

Lelu [443]3 years ago

6 0

Answer:

15 inches

Step-by-step explanation:

1. Use the Pythagorean Theorem: a^2+b^2=c^2

You are already given c (the longest side) and one of the legs which could be a or b.

2. Plug the numbers into the formula and square them.

a^2 + 36^2 = 39^2

Squaring the numbers gives you: a^2 + 1,296 = 1,521

3. Subtract 1,296 from both sides and take the square root of the result.

a^2 = 225

$\sqrt{225}$ = 15

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Suppose the radius of the sphere is increasing at a constant rate of 0.3 centimeters per second. At the moment when the radius i

elixir [45]

<h2>At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.</h2>

Step-by-step explanation:

We have equation for volume of a sphere

$V=\frac{4}{3}\pi r^3$

where r is the radius

Differentiating with respect to time,

$\frac{dV}{dt}=\frac{d}{dt}\left (\frac{4}{3}\pi r^3 \right )\\\\\frac{dV}{dt}=\frac{4}{3}\pi \times 3r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}$

Given that

Radius, r = 24 cm

$\frac{dr}{dt}=0.3cm/s$

Substituting

$\frac{dV}{dt}=4\pi r^2\times \frac{dr}{dt}\\\\\frac{dV}{dt}=4\pi \times 24^2\times 0.3\\\\\frac{dV}{dt}=2171.47cm^3/min$

At the moment when the radius is 24 centimeters, the volume is increasing at a rate of 2171.47 cm³/min.

4 0

3 years ago

Which is the correct way to model the equation 5 x + 6 = 4 x + (negative 3) using algebra tiles?

mamaluj [8]

Answer:

1. 5x+ 6 & 4x + -3

2. 4x + -3

3. 6x+5 & -3+4

Step-by-step explanation:

the first one, thats how it would look and thats the problem

6 0

3 years ago

Find the length of the side labeled x. Please help

JulsSmile [24]

Answer:

FIND THE LENGTH YOURSELF

Step-by-step explanation:

6 0

3 years ago

People people plsss i need your help I'm about to take a geometry final test and i need your help passing it... sooo

attashe74 [19]

Kk I’ll help ya bro!

6 0

3 years ago

Mr. Ocampo has two kind of fruit in his basket. The ratio of apples to oranges is 3:2. If there are 18 apples then how many piec

Orlov [11]

Answer:

the number of pieces of fruit is 20

Step-by-step explanation:
The computation of the number of pieces of fruit is shown below:
Given that
The Ratio of apple to oranges is 3:2
And, the number of apples is 12
based on the above information, the number of pieces of fruit is
= 12 × 5 ÷ 3
= 20
Hence, the number of pieces of fruit is 20 and the same is to be considered

Mark brainliest please

Hope this helps you

8 0

3 years ago

Read 2 more answers