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hammer [34]
3 years ago
7

1.) In a the heavy weight division boxing match, Mike throws 270 punches in 9 rounds. What is the unit rate of punches per round

by Mike?
Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0
30 punches each round...
i think :)
just divide the punches by the rounds hope this helps
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likoan [24]
Figure it out it’s easy
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Find side lengths C and H
Nuetrik [128]

Answer:

\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left.  We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

\displaystyle tan60^o=\frac{2}{c}

Solving for c

\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}

Rationalizing

\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

\displaystyle sin45^o=\frac{7}{h}

Solving for h

\displaystyle h=\frac{7}{sin45^o}=\frac{7}{\frac{\sqrt{2}}{2}}=\frac{14}{\sqrt{2}}

Rationalizing

\displaystyle h=\frac{14}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{14\sqrt{2}}{2}=7\sqrt{2}

3 0
3 years ago
the original price of a sweater is d dollars. you buy the sweater for (m - 3) dollars. you decorate the sweater and sell it for
lora16 [44]

Answer:

-10d

Step-by-step explanation:

7 0
3 years ago
Kitty has invested £5500 for 3 years in a savings account. She is paid 6% per annum compound interest. How much did she have in
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The value of her investment at the end of 3 years is £10955.08

<h3>How to determine the value?</h3>

The given parameters are

  • Principal, P = £5000
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  • Time, t = 3 years

The value is then calculated as:

Value = P * P(1 + r)^t

So, we have:

Value = 5000 + 5000 * (1 + 6%)^3

Evaluate the expression

Value = 10955.08

Hence, the value of her investment at the end of 3 years is £10955.08

Read more about compound interest at:

brainly.com/question/24924853

#SPJ1

5 0
2 years ago
Mr.Bernstein Owns 14 paintings but has only enough wall space in his home to display three of them at any one time how many ways
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Answer:

42!!

Step-by-step explanation:

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