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stepladder [879]
3 years ago
12

Which of the following equations could be solved to determine the length of RS?

Mathematics
1 answer:
stich3 [128]3 years ago
4 0

Answer:

\frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

Step-by-step explanation:

Given:

S = 52.5°

s = QR = 7

Q = 80°

q = RS = ?

Required:

Equation that could be used to find the length of RS

Solution:

We would need the law of Sines which is given as:

\frac{Sin(A)}{a} = \frac{Sin(B)}{b} = \frac{Sin(C)}{c}

Applying the Law of Sines, we would have the following equation:

\frac{Sin(Q)}{q} = \frac{Sin(S)}{s}

Plug in the values

\frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

Therefore, the equation that can be used to determine the length of RS is \frac{Sin(80)}{RS} = \frac{Sin(52.5)}{7}

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AnnyKZ [126]
Recall the slope intercept form of an equation is:

y = mx + c, where m is the slope and c = vertical intercept.

y + 2 = 5x + 4

y + 2 = 5x + 4

y = 5x + 4 - 2

y = 5x + 2

So the slope intercept form is y = 5x + 2

Hope this helps.
7 0
3 years ago
Dylan just started a running plan where he runs 14 miles the first week and then increases the number of miles he runs by 10% ea
Vladimir79 [104]

Answer:

36 miles

Step-by-step explanation:

Given - Dylan just started a running plan where he runs 14 miles the first

            week and then increases the number of miles he runs by 10% each

            week.

To find - If he keeps up this plan for 11 weeks, how many total miles would  

              Dylan have run ?

Proof -

1st week = 14 miles

2nd week = 14 + 10% of 14 = 14 + 1.4 = 15.4

3rd week = 15.4 + 10% of 15.4 = 15.4 + 1.54 = 16.94

4th week = 16.94 + 10% of 16.94 = 16.94 + 1.694 = 18.634

5th week = 18.634 + 10% of 18.634 = 18.634 + 1.8634 = 20.4974

6th week = 20.4974 + 10% of 20.4974 = 20.4974 + 2.04974 = 22.54714

7th week = 22.54714 + 10% of 22.54714 = 22.54714 + 2.254714 = 24.801857

8th week = 24.801857  + 10% of 24.801857  = 24.801857  + 2.4801857  = 27.2820427

9th week = 27.2820427  + 10% of 27.2820427  = 27.2820427+ 2.72820427  = 30.01024697

10th week = 30.01024697  + 10% of 30.01024697  = 30.01024697 + 3.001024697  = 33.01127167

11th week = 33.01127167  + 10% of 33.01127167  = 33.01127167 + 3.301127167  = 36.31239884 ≈ 36

∴ we get

Total miles Dylan would run = 36 miles.  

8 0
2 years ago
I cant find this answer for my life
fredd [130]
1/343


Hope this helps (:
8 0
3 years ago
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djverab [1.8K]

Answer:

X represents the value you can multiply with the slope to get the answer.

y = 0.007x

  = 0.007(6)

  = 0.042

Therefore, 0.042 inches of rain falls in 6 minutes.

7 0
3 years ago
Teresa bought 16 roses for $20.64. How much did she pay for each rose
jeka94
Roses: 16
Total Cost: $20.64

Divide:
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=  $1.29

Each Rose cost $1.29

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6 0
3 years ago
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