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den301095 [7]
3 years ago
9

For this right triangle shown, what is the sine of angle C?

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer:

8.212°

Step-by-step explanation:

Hypotenuse^2=base^2+perp^2

(8)^2=(7)^2+(perp)^2

64=49+(perp)^2

64/49=perp^2

1.306=perp^2

Now taking sq root on both sides

Perp=√1.306

Perp=1.142

Sin C=opposite/hypotenuse

Sin C=1.142/8

Sin C=0.14285

C=Sin^-1 0.14285

C=8.212°

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Alexxandr [17]

Answer:

\large\boxed{(x,\ y)\to (x+3,\ y-2)}

Step-by-step explanation:

(4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)

4 0
3 years ago
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koban [17]
Use proportions for all of them, for #1 use the proportion 12/30 = 9/a based on corresponding sides and then cross multiply. a=22.5 For #2 use the proportion y/35 = 64/40 based on corresponding sides and then cross multiply, y=56 For #3 use the proportion 42/? = 54/36 and then cross multiply, ?=28
7 0
3 years ago
If a train travels 80 m/s in two hours and 20 minutes, how far has it traveled?
Alexxx [7]

Answer:

distance = 585600 m

Step-by-step explanation:

change 2 hours 20 minutes to seconds

2  hrs * 60 minutes/1hr * 60 sec/min = 7200 sec

20 minutes * 60 sec/min = 120 sec

2 hr 20 min = 7320 seconds

distance = rate * time

distance = 80 m/s * 7320 s = 585600 m

8 0
3 years ago
Thee questionn is beloww
Phantasy [73]

Given:

m\angle ABC=60

To find:

The m\angle ADC.

Solution:

In circle B, \angle ABC is central angle and \angle ADC is inscribed angle from two points A and C.

According to central angle theorem, central angle is always twice of inscribed angle.

m\angle ABC=2(m\angle ADC)         [Central angle theorem]

60=2(m\angle ADC)

Divide both sides by 2.

\dfrac{60}{2}=m\angle ADC

30=m\angle ADC

Therefore, m\angle ADC=30.

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Graph the data. then find and interpret the slope of the line through the points.
iVinArrow [24]

Answer:

You have to have an X and Y axis chart to do this problem

Step-by-step explanation:


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