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umka2103 [35]
3 years ago
5

Judges in a diving competition gave scores of 9.3, 9 1/2, 9 4/5, 9.95 And 9 1/4. Which two scores were closest to one another?

Mathematics
2 answers:
Sav [38]3 years ago
7 0
9.3 and and 9 1/4 because 9 1/4 is equal to 9.25 and that's only .05 away.
Kazeer [188]3 years ago
6 0

9.3 and 9\frac{1}{4} were closest to another.

<u><em>Explanation</em></u>

First we will convert each given fractions into decimal form. So....

9\frac{1}{2}= 9+\frac{1}{2} = 9+0.50 =9.50\\  \\ 9\frac{4}{5}= 9+ \frac{4}{5}= 9+0.80=9.80\\   \\ 9\frac{1}{4}= 9+\frac{1}{4} =9+0.25= 9.25

Then the scores are: 9.30, 9.50, 9.80, 9.95 and 9.25

So, 9.30 and 9.25 are closest to another as their difference is (9.30-9.25)=0.05

That means , 9.3 and 9\frac{1}{4} were closest to another.

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see explanation

Step-by-step explanation:

The \sqrt{-1} = i

7 0
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Which of the following operations will solve the formula for momentum, p=vm , for v
melisa1 [442]
To solve for V:
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4 0
3 years ago
Please help me with this
yan [13]
ANSWER: 127

The shape has 5 sides so it’s inner angles add to 540°.
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6 0
2 years ago
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PLEASE HURRY. 55P WRONG ANSWERS GET REMOVED!!!!!!!
sertanlavr [38]
  • <em>Answer:</em>

<em>1172. 08 in²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>

<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>

<em>= 2(176 + 176 + 121) - 3.14*16</em>

<em>= 2*473 - 50.4</em>

<em>= 946 - 50.24</em>

<em>= 895.76 in²</em>

<em>A(cylinder) = πr² + 2πr*h</em>

<em>= 3.14*16 + 2*3.14*4*9</em>

<em>= 50.24 + 226.08</em>

<em>= 276.32 in²</em>

<em>A(total) = 895.76in² + 276.32in² = 1172.08 in²</em>

<em>Good luck !</em>

6 0
3 years ago
2. Find the general relation of the equation cos3A+cos5A=0
mars1129 [50]
<h2>Answer:</h2>

A=\frac{\pi}{8}+\frac{n\pi}{4}or\ A=\frac{\pi}{2}+n\pi

<h2>Step-by-step explanation:</h2>

<h3>Find angles</h3>

cos3A+cos5A=0

________________________________________________________

<h3>Transform the expression using the sum-to-product formula</h3>

2cos(\frac{3A+5A}{2})cos(\frac{3A-5A}{2})=0

________________________________________________________

<h3>Combine like terms</h3>

2cos(\frac{8A}{2})cos(\frac{3A-5A}{2})=0\\\\  2cos(\frac{8A}{2})cos(\frac{-2A}{2})=0

________________________________________________________

<h3>Divide both sides of the equation by the coefficient of variable</h3>

cos(\frac{8A}{2})cos(\frac{-2A}{2})=0

________________________________________________________

<h3>Apply zero product property that at least one factor is zero</h3>

cos(\frac{8A}{2})=0\ or\ cos(\frac{-2A}{2})=0

________________________________________________________

<h2>Cos (8A/2) = 0:</h2>

<h3>Cross out the common factor</h3>

cos\ 4A=0

________________________________________________________

<h3>Solve the trigonometric equation to find a particular solution</h3>

4A=\frac{\pi}{2}or\ 4A=\frac{3\pi}{2}

________________________________________________________

<h3>Solve the trigonometric equation to find a general solution</h3>

4A=\frac{\pi}{2}+2n\pi \ or\\ \\ 4A=\frac{3 \pi}{2}+2n \pi\\ \\A=\frac{\pi}{8}+\frac{n \pi}{4\\}

________________________________________________________

<h2>cos(-2A/2) = 0</h2>

<h3>Reduce the fraction</h3>

cos(-A)=0

________________________________________________________

<h3>Simplify the expression using the symmetry of trigonometric function</h3>

cosA=0

________________________________________________________

<h3>Solve the trigonometric equation to find a particular solution</h3>

A=\frac{\pi }{2}\ or\ A=\frac{3 \pi}{2}

________________________________________________________

<h3>Solve the trigonometric equation to find a general solution</h3>

A=\frac{\pi}{2}+2n\pi\ or\ A=\frac{3\pi}{2}+2n\pi,n\in\ Z

________________________________________________________

<h3>Find the union of solution sets</h3>

A=\frac{\pi}{2}+n\pi

________________________________________________________

<h2>A = π/8 + nπ/4 or A = π/2 + nπ, n ∈ Z</h2>

<h3>Find the union of solution sets</h3>

A=\frac{\pi}{8}+\frac{n\pi}{4}\ or\ A=\frac{\pi}{2}+n\pi ,n\in Z

<em>I hope this helps you</em>

<em>:)</em>

5 0
2 years ago
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