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pantera1 [17]
3 years ago
6

If I have 11 hours to do three things, how much time do I have to do each thing?

Mathematics
2 answers:
LiRa [457]3 years ago
7 0
You have 3 hours and 40 minutes to do each thing
kogti [31]3 years ago
5 0
11 hours = 3
1 = 3 hours 40 minutes
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Find k so that the distance from (–1, 1) to (2, k) is 5 units.
velikii [3]

Answer:

k = -3 or 5

Step-by-step explanation:

The given parameters are;

The line extends from points (-1, 1) to point (2, k)

The length of the line = 5 units

The formula for the length, l, of a line given its coordinates can be  found by the following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Therefore, we have;

5 = \sqrt{\left (k-1 \right )^{2}+\left (2-(-1)  \right )^{2}}

Which, by squaring both sides, gives;

25 = (k - 1)² + (2 - (-1))² = (k - 1)² + (2 + 1)² = (k - 1)² + 3²

25 = (k - 1)² + 3² = k² - 2·k + 1 + 9

25 - 25 = 0 = k² - 2·k + 1 + 9 - 25 = k² - 2·k - 15

0 = k² - 2·k - 15

0 = (k +3) × (k - 5)

Therefore, k = -3 or 5

When k - -3, we have;

\sqrt{\left ((-3)-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{(-4)^2+3^2} = \sqrt{16 + 9}  = \sqrt{25} = 5

When k = 5, we have;

\sqrt{\left (5-1 \right )^{2}+\left (2-(-1)  \right )^{2}}= \sqrt{4^2+3^2} = 5

8 0
3 years ago
Peter threw the football 72 feet. How many yards did he throw the football ?
Darya [45]

1 yard = 3 feet.

Divide total feet by 3 to get yards:

72 feet / 3 = 24 yards.

3 0
3 years ago
What is the value of the power a if 5 to the power of a is equal to 1/125
padilas [110]

First of all, you should know/notice that

125=5^3

You should also know how negative exponents work:

a^{-m}=\dfrac{1}{a^m}

So, if you wanted

5^x=125

the answer would be x=3, but since you want 125 to be at the denominator, the answer is x=-3:

5^{-3}=\dfrac{1}{5^3}=\dfrac{1}{125}

7 0
3 years ago
Peter baked 18 cookies. He gave 2/3 of the cookies to his friend. How many cookies did Peter give to his friend
andre [41]

Answer:

12

thStep-by-step explanation:

4 0
3 years ago
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Carl the cannonballer can make the bestest splashes of anyone at the local swimming pool. his splashes are legen...wait for it..
gayaneshka [121]

Answer: is it B.

Explanation:

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3 years ago
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