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rodikova [14]
3 years ago
12

Help please. show work

Mathematics
1 answer:
shtirl [24]3 years ago
4 0
Sine law to find angle R

\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\
\sin R =  \frac{122\sin 64}{187.5} \\ \\
R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\  \\
R \approx 35.7899447211

All angles in triangle add to 180 so we can find angle P

P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789

sine law with angle P to find length of RQ

\displaystyle
\frac{RQ}{\sin P} = \frac{187.5}{\sin 64} \\ \\
RQ = \frac{187.5\sin P}{\sin 64}  \\ \\
RQ = \frac{187.5\sin 80.2100552789}{\sin 64}  \\ \\
RQ = 205.57

or use cosine law

RQ = \sqrt{187.5^2 + 122^2 - 2(187.5)(122) \cos80.2100552789} \\ RQ \approx 205.57

either way the answer is 205.57 feet
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7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
dedylja [7]

Answer:

Elena's move will lead to the solution of the problem

Step-by-step explanation:

To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning

Given:

7.5d = 2.5d

Lin divides each side by 2.5d, Lin:

7.5d / 2.5d = 2.5d / 2.5d

3 = 1

This can not be the solution to the problem because 3 can not be Equal to 1

Elena subtracts 2.5d from each side

7.5d = 2.5d

7.5d - 2.5d = 2.5d - 2.5d

5d = 0

This can lead to the solution of the problem

Elena's move will lead to the solution of the problem

6 0
3 years ago
At a pet store the ratio of cats to dogs sold was 10:1. If there were 60 cast that were sold, how many dogs were sold?
AnnZ [28]


Ratio for this mean for every 10 cats sold there was one dog


60/10 = ?


6 dogs


ratio =          60:6



3 0
3 years ago
Which word is an antonym of permit?
Deffense [45]

Answer:

What are the options? ban, forbid, prohibit, are some examples

Step-by-step explanation:

4 0
3 years ago
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Solve the following problems.<br> Find x, y
natta225 [31]

Step-by-step explanation:

by using similarity and enlargement

10/8 = 7+y/7

70=56+8y

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y= 7/4

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x = 8/10 = 4/5

7 0
2 years ago
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The store paid $2.70 for a book and sold it for $6.20. What is the profit as a percent?
Alenkinab [10]

Answer:

129.6% profit

Step-by-step explanation:

1)Firstly in order to find the overall profit you take away $2.70 from $6.20 = $3.50

2)The next step is to put the profit over the amount paid = 3.50/2.70 = 35/27.

3)In order to find the percentaage you multiply 35/27 by 100 = 129.629 recurring. This rounded to 1 decimal place is 129.6%

Thank you for reading, please let me know if I've missed anything out!

5 0
2 years ago
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