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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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Answer:

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Step-by-step explanation:

First, add two to both sides to get 9^{x-1}=27

There are two ways to solve this from here

  1. Think about what power you would have to raise 9 to to get to 27. 9^{\frac{1}{2}} = 3 and 3^3=27. So, multiplying the powers (because it is a power to a power) you get 9^{\frac{3}{2}}=27. This means that x - 1 = \frac{3}{2} or x = \frac{5}{2}.
  2. Take the log of both sides.

This gives us \log_9(27)=x-1\\\log_9(27)+1=x\\\log_9(3^3)+1=x\\3\log_9(3)+1=x\\3(\frac{1}{2})+1=x\\\frac{3}{2}+1 = x\\\\\frac{5}{2} = x

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