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Sedbober [7]
3 years ago
5

In (triangle symbol)ABC, (angle symbol)C is a right angle. Find the remaining sides and angles. Round your answers to the neares

t tenth. Show your work.
a =3, c =19

Mathematics
1 answer:
irinina [24]3 years ago
3 0
Use the Pythagorean Theorem.

a² + b² = c²

3² + b² = 19²

9 + b² = 361

b² = 352

b = 4√11

Now, solve for the remaining angles by using the trigonometric ratios:

Sine = opposite/hypotenuse

sin(A)= 3/19

sininverse(3/19) = 9.1 = angle A

180-9.1-90 = 80.9 = angle B


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Use partial quotients 6 divided by 258
dybincka [34]
258 = 240 + 18
258: 6 = (240 + 18) : 6 = 240 : 6 + 18 : 6 = 40 + 3 = 43

Your answer is 43.
6 0
3 years ago
Andre is running in an 80-meter hurdle race. There are 8 equally-space hurdles on the race track. The first hurdle is 12 meters
evablogger [386]

Answer:

600 and 3

Step-by-step explanation:

6 0
3 years ago
A radio station plays a total of 272 pop, rock, and hip-hop songs during a day. The number of pop songs is 3 times the number of
Norma-Jean [14]
Let the daily played number of pop songs be P, the number of rock songs be R and the number of hip-hop songs be H.

i) 
"A radio station plays a total of 272 pop, rock, and hip-hop songs during a day"

means that : P+R+H=272

ii) 
"The number of pop songs is 3 times the number of rock songs. "

so, P=3R

iii)
"The number of hip-hop songs is 32 more than the number of rock songs."

means: H=32+R

iv)

since both P and H can be written in terms of R, we have:

P+R+H=272

(3R)+R+(32+R)=272

3R+R+32+R=272

5R+32=272

5R=272-32=240

R=240/5=48


vi) 

thus: P=3R=3*48=144,    H=32+R= 32+48=80

Answer: 

48 Rock, 144 Pop and 80 Hip-hop

5 0
3 years ago
Find the point of intersection between the ray y = -5/12x when x < 0, and the unit circle.
allsm [11]
Answer is 7 to this question
6 0
3 years ago
If the interior angle of a regular polygon measures 170°, how many sides does it have
bazaltina [42]
Since the interior is 170 the exteriro must be 10 degrees. There is a total of 360 degrees so 360/10=36 or 36 sides.
6 0
3 years ago
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