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jolli1 [7]
3 years ago
15

A parallelogram with the sides of 6 and 10 has a area of 30 square root of 2. Find the measure of each angle of the parallelogra

m.
Small angle-? Large angle-?

Mathematics
2 answers:
Vinvika [58]3 years ago
7 0
a=10,b=6,A=30 \sqrt{2} 
\\
\\A=ah_a=ab\sin\theta
\\30 \sqrt{2} =10\times6\times\sin\theta
\\
\\ \sin\theta= \frac{ \sqrt{2} }{2} 
\\
\\ \theta=45^o
\\ \theta_1=180^o -\theta=180^o-45^o=135^o

goldfiish [28.3K]3 years ago
7 0

Answer:

small angle- 45°

Step-by-step explanation:

I know this is correct bc I just had this question and this was the correct answer

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stealth61 [152]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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The cylinders are similar. The volume of the larger cylinder is 9648 cubic inches. What is the volume of the smaller cylinder?
zalisa [80]
Hey there :)

The volume formula of a cylinder is:
V = \pir²h

The volume of the larger volume is given to be 9648³ and the height is 18 in
We need to find the radius first

9648 = \pir²(18)
\frac{9648}{18} = \pir²
536 = \pir²
\frac{536}{ \pi} = r²
\sqrt{ \frac{536}{ \pi } } = r
r ≈ 13.06

The ratio of the big cylinder to small cylinder is:
18 : 9   (given height)
So the big cylinder is 2 times bigger than the small cylinder
Therefore the radius of the big cylinder is as well 2 times bigger

\frac{13.06}{2} = r
r ≈ 6.53  ( the radius of the small radius )

V (of small cylinder) = \pi(6.53)²(9)
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3 0
3 years ago
Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to sta
Dafna11 [192]

Answer:  <em>r</em> represents a significant linear correlation.

Step-by-step explanation:

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Sample size: n= 25

Significance levle: \alpha=0.05

Degree of freedom : n-2 = 25-2=23

Now, we check <em>r</em> critical value table for value with df = 23 and \alpha=0.05.

Critical value = ±0.396  [From <em>r</em> critical value table]

Since r = 0.543 > 0.396, that means there is significant linear correlation.

Hence,  <em>r</em> represents a significant linear correlation.

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Marat540 [252]
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subtract 3.14 from 121 and you get 117.86 
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4 years ago
A spinner is divided into 8 equal sections. Two of the sections are red, 3 are green, and 3
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