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3 years ago

in a 30-60-90 triangle, the length of the side opposite the 30 angle is 8. find the length of the side opposite the 60 angle

Mathematics

1 answer:

hoa [83]3 years ago

8 0

Answer:

$8\sqrt{3}\ units$

Step-by-step explanation:

Let

x----> the side opposite the 60 angle

Applying the law of sines

$\frac{8}{sin(30)}=\frac{x}{sin(60)}\\ \\x=8*sin(60)/sin(30)\\ \\x=8\sqrt{3}\ units$

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Estimate by first rounding each number to the nearest integer.

posledela

$4 \frac{1}{9} + 2\frac{ 2}{13} =4 \frac{13}{117} + 2\frac{ 18}{117} =6\frac{31}{117}\approx 6\\ \\Answer: \ \ C.\ \ 6$

5 0

2 years ago

Solve GHI. Round the answer to the nearest hundredth.

Sedaia [141]

Answer:

Part 1) $HI=15\ units$

Part 2)

Part 3) $< I=28.07\°$

The answer is the option A

Step-by-step explanation:

Part 1) Find the measure of side HI

Applying the Pythagoras Theorem

$GI^{2} =GH^{2}+HI^{2}$

substitute the values and solve for HI

$17^{2} =8^{2}+HI^{2}$

$HI^{2}=17^{2}-8^{2}$

$HI^{2}=225$

$HI=15\ units$

Part 2) Find the measure of angle G

In the right triangle GHI

$cos(G)=\frac{GH}{GI}$

substitute the values

$cos(G)=\frac{8}{17}$

$G=arccos(\frac{8}{17})=61.93\°$

Part 3) Find the measure of angle I

Remember that

The sum of the interior angles of a triangle must be equal to 180 degrees

substitute the values

$61.93\°+90\°+< I=180\°$

$< I=180\°-(61.93\°+90\°)=28.07\°$

7 0

3 years ago

I have a frequency of 20.0 Hz, if this frequency travels through the air with a speed of 331 m/s, what is it's wavelength

Sveta_85 [38]

Answer:

16 m

Step-by-step explanation:

c=f×m

331=20m ( divide by 20 both side)

therefore m=16.55m

5 0

2 years ago

Which of the following statements about rational numbers is not correct? А All whole numbers are also rational numbers. B All ra

iren2701 [21]

Step-by-step explanation:

1736-8166x71662=8177103 :D

3 0

3 years ago

PLEASE HELPP!!

Rasek [7]

Answer:

Given:

Two trail maps:

Trail on the first map = 8 cm

Trail on the second map = 6 cm

Scale on first map = 1 cm : 2 km

A) What is the scale factor from the map to the actual trail?

For the first map, the scale factor is 1 cm: 2km. Therefore the actual trail is 8 centimeters * 2 kilometers = 16 km.

The scale factor of the second map is 16 km / 6 cm = 2.67 km : 1 cm

B) The length of the actual trail is 16 kilometers.

Step-by-step explanation:

3 0

2 years ago