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2 years ago

Complete the statements to determine the amount of BTUs needed to properly cool Arthur's apartment.

Mathematics

1 answer:

elena-14-01-66 [18.8K]2 years ago

3 0

Answer:

1. 2,160ft^3

2. multiply the total volume by 2.5

3. 5,400 BTUs

Step-by-step explanation:

hope this helps

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Simply 15 to the 18 power divide by 15 to the 3 power

andrew11 [14]

The property of exponents says that when you divide two exponents with the same base, you can keep the base and subtract the exponents. So you can do 18-3, which is 15, so it would be 15 to the 15th power

6 0

3 years ago

If a spring is oscillating (moving) according to the velocity equation v(t) = 2sin(t) (in ft/s), then what is its displacement o

Feliz [49]

ANSWER

4 ft

EXPLANATION

The velocity equation of the oscillating spring is given by the function.

$v(t)=2 \sin(t) \: \: {ms}^{ - 1}$

To find the displacement function, we need to to Integrate the velocity function.

$s(t) = \int \: 2 \sin(t) dt$

$s(t) = - 2 \cos(t) + k$

At time t=0, there was no displacement.

This implies that,

$s(0) = 0$

$0= - 2 \cos(0) + k$

$0= - 2 + k$

$k = 2$

The displacement function then becomes,

$s(t) = - 2 \cos(t) + 2$

To find the displacement over the first π seconds, we put

$t = \pi$

into the equation for the displacement to get,

$s(\pi) = - 2 \cos(\pi) + 2$

$s(\pi) = - 2 ( - 1) + 2$

$s(\pi) = 2 + 2 =4 ft$

7 0

3 years ago

Pls show steps and explain

Anvisha [2.4K]

Answer:

3x+30= 116° 2x=64°

Step-by-step explanation:

the angle below 2x is the same as 3x+20 so we know that 5x+20=180 so solve this

5x+20=180

5x=160

x=32

sub x into the angle equations

3(32)+20=116

2(32)=64

8 0

3 years ago

Read 2 more answers

Can u guys help plz

solong [7]

I think the answers are Number 1 -2. Number 2. is 2. Number 3. is 4. Number. 4 is 6. And number 5. is 12. I hope this helps :)

4 0

3 years ago

What percent of a foot is in 3 inches.; 4 inches.; 6 inches.; 9 inches. ? 3 inches is _% of a foot 4 inches is _% of a foot 6 in

Aleksandr-060686 [28]

Answer:

3 inches is 25 percent of a foot

4 inches is 33.33 percent of a foot

6 inches is 50 percent of a foot

9 inches is 75 percent of a foot

Step-by-step explanation:

The first thing we need to do to solve this problem is to convert our measurements in feet to inches.

1 foot = 12 inches

we can now find our percentage with ease since we are now making comparisons, using the same unit of measurement as a reference.

To get the percentage of which 3 is of 12, we simply perform the following operation: We divide 3 by 12 then multiply it by a hundred percent.

(3/12) X 100 = 25 percent.

3 inches is 25 percent of a foot

Similarly,

4 inches = (4/12) X 100 = 33.33 percent of a foot

6 inches =(6/12) X 100 = 50 percent of a foot

9 inches = (9/12) X 100 = 75 percent of a foot

3 0

3 years ago