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irina1246 [14]
3 years ago
11

What is the measurement of angle p? Round your answer to the nearest degree.

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

You can use the law sines, which states that in a triangle the ratio between one side length and the sine of the opposite angle is constant.

So, we have

\dfrac{PR}{\sin(Q)}=\dfrac{QR}{\sin(P)}=\dfrac{PQ}{\sin(R)}

In particular, we can use

\dfrac{PR}{\sin(Q)}=\dfrac{QR}{\sin(P)}

to write

\dfrac{68}{\sin(73)}=\dfrac{47.6}{\sin(P)} \iff \sin(P) = \dfrac{47.6\sin(73)}{68}\approx 0.66

Which means

P\approx \arcsin(0.66)\approx 42

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Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per we
Lisa [10]

Answer:

Karl works 7 hours a week

Step-by-step explanation:

Step 1: Determine total amount that Sally earns

Total amount Sally earns=rate per hour×number of hours worked(h)

where;

Rate per hour=$7 per hour

Number of hours worked=h

Replacing;

Total amount Sally earns=(7×h)=7 h

Step 2: Determine total amount Karl earns

Total amount Karl earns=rate per hour×number of hours worked

where;

rate per hour=$5

number of hours worked=2 more than Sally=h+2

replacing;

Total amount Karl earns=5(h+2)

Step 3: Equate Sally's total earnings to Karl's total earnings and solve for h

7 h=5(h+2)

7 h=5 h+10

7 h-5 h=10

2 h=10

h=10/2

h=5

Karl works (h+2) hours=(5+2)= 7 hours

Karl works 7 hours a week

7 0
3 years ago
The number of hours, h, spent studying and the score, s, on a test. What is the dependent variable?
Arada [10]

Answer:

The number of hours.

Step-by-step explanation:

The dependent variable is what you are mesuaring.

7 0
2 years ago
A manufacturing company with 450 employees begins a new product line and must increase their number buy 18% how many total emplo
Soloha48 [4]

Answer:

After increasing their employees by 18% they will now have 531 total employees.

Step-by-step explanation:

0.18 x 450 = 81

81 + 450 = 531

7 0
2 years ago
Factor completely. y^2+6y+8
Hunter-Best [27]
(Y+4)(y+2) is this what it supposed to look like? Cause I don’t really remember.
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2 years ago
Montraie has a coin collection. He keeps 10 of the coins in his box, which is 20% of the collection. How many total coins are in
jek_recluse [69]

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

<h3>How to calculate the quantity of coins in a collection</h3>

In this question we know the quantity of coins in a box and such coins are part of the <em>coin</em> collection. By definition of percentage we have the <em>total</em> quantity of coins in the collection:

x = 10*(100/20)

x = 50

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

To learn more on percentages: brainly.com/question/13450942

#SPJ1

4 0
2 years ago
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