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Virty [35]
3 years ago
8

Use a factor tree to find the prime factorization of 96. Write the prime factorization using exponents.

Mathematics
1 answer:
Daniel [21]3 years ago
4 0
96
48 * 2
24 * 2 * 2
8 * 3 * 2 * 2
4 * 2 * 3 * 2 * 2
2 * 2 * 2 * 3 * 2 * 2

2^5 * 3 <==
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Awnser is A 6+4 divided by [2+1]x3
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A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measur
Crazy boy [7]

Using the slope concept, it is found that the distance from point A to point B is of 465 feet.

<h3>What is a slope?</h3>

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

To find the horizontal position at point A, we have that:

tan(10º) = 107/dA

dA = 107/tan(10º)

dA = 607.

For the horizontal position at point B, we have that:

tan(37º) = 107/dB

dB = 107/tan(37º)

dB = 142.

Hence the distance is given by:

D = dA - dB = 607 - 142 = 465.

More can be learned about the slope concept at brainly.com/question/18090623

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6 0
2 years ago
Write the equation of the line that passes through (5.-9) and (2.5).
Kipish [7]

Answer:

y = -14/3x + 43/3

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - (-9) / 2 - 5

14 / -3

- 14/3

y = -14/3x + b

5 = -14/3(2) + b

5 = -28/3 + b

43/3 = b

y = -14/3x + 43/3

4 0
3 years ago
A 6-yard piece of ribbon costs $36.72. What is the price per foot?
djyliett [7]

Answer:

$2.04

Step-by-step explanation:

Note that: 1 yard = 3 feet.

First, change the amount of yard (6) to feet:

6 x 3 = 18

6 yard = 18 feet.

Note: 18 feet = $36.72

Find the cost per foot (1 feet). Note the equal sign, what you do to one side, you do to the other. Divide 18 from both sides.

(18 ft)/18 = ($36.72)/18

1 ft = 36.72/18

1 ft = 2.04/1

1 ft = $2.04

~

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3 years ago
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Quadrilateral QRST is a square. If the measure of angle RQT is 3x - 6. Find the value of x.
trapecia [35]

Given that quadrilateral QRST is a square.

Each angle of a square is of 90 degrees.

Angle <RQT is also an angle of 90 degrees.

We also given angle RQT = 3x - 6.

So, we can setup an equation as 3x-6 =90.

Now, we need to solve the equation for x.

6 is being subtracted from left side.

We always apply reverse operation. Reverse operation of subtraction is addition.

So, adding 6 on both sides of the equation, we get

3x-6+6 =90+6.

3x = 96.

3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.

So, dividing both sides by 3.

\frac{3x}{3} = \frac{96}{3}

x=32 (final answer).

3 0
3 years ago
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