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dolphi86 [110]
3 years ago
7

Find a number that is 15 more than 4 times its opposite

Mathematics
1 answer:
V125BC [204]3 years ago
5 0
x-\ number\\\\
x-15=4(-x)\\\\
x-15=-4x\ \ \ \ |subtract\ x\\\\
-15=-5x\ \ \ \ |divide\ by\ -5\\\\
x=3\\\\Number\ is\ equal\ to\ 3.
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A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?
Neporo4naja [7]

<u>Answer</u>

748.23 in²


<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the  hexagon = 101.8 ÷ 6

                                            = 19.96666..

                                            = 19.9667 inches

Area of the  hexagon = 1/2 × height × base length × 6

                                     = 1/2 × 14.7 × 19.9667 × 6

                                      = 748.23 in²

7 0
3 years ago
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A tree broke 6 feet from the bottom. If the top landed 12 feet from the base, how tall was the tree before it broke?
spayn [35]

Answer:

7.4 ft

Step-by-step explanation:

7 0
2 years ago
What is a peregrine falcon's maximum speed while diving to catch prey,
Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1  mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we  have to determine the speed in feet per second.

As we know that:

1  mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = \frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}

                          = 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

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3 years ago
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5000 meters wide and 6 yards long
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Express each ratio as a fraction in simplest form<br> 4 pounds to 10 pounds
blagie [28]

Answer:

4:10

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