1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jok3333 [9.3K]
3 years ago
12

Triangles P Q R and S T U are shown. Angles P R Q and T S U are right angles. The length of P Q is 20, the length of Q R is 16,

and the length of P R is 12. The length of S T is 30, the length of T U is 34, and the length of S U is 16.
Using the side lengths of △PQR and △STU, which angle has a sine ratio of Four-fifths?

∠P
∠Q
∠T
∠U
Mathematics
1 answer:
dimaraw [331]3 years ago
7 0

Answer:

\angle P

Step-by-step explanation:

Given

\triangle PRQ = \triangle TSU = 90^o

PQ = 20     QR = 16    PR = 12

ST = 30       TU = 34    SU = 16

<em>See attachment</em>

Required

Which sine of angle is equivalent to \frac{4}{5}

Considering \triangle PQR

We have:

\sin(P) = \frac{QR}{PQ} --- i.e. opposite/hypotenuse

So, we have:

\sin(P) = \frac{16}{20}

Divide by 4

\sin(P) = \frac{4}{5}

Hence:

\angle P is correct

You might be interested in
How many students were surveyed?<br>​
blondinia [14]

Answer:

20

Step-by-step explanation:

count the dots

7 0
2 years ago
Read 2 more answers
Find the length here
Vera_Pavlovna [14]

Answer:

The correct answer is

D) 66.35

The sine of the angle = the length of the opposite side. the length of the hypotenuse.

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

The tangent of the angle = the length of the opposite side. the length of the adjacent side.

So in shorthand notation:

sin = o/h   cos = a/h   tan = o/a

Often remembered by: soh cah toa

5 0
3 years ago
Read 2 more answers
Question
nika2105 [10]

Answer:

y = -1

Step-by-step explanation:

(y+1)/(x-8) = (-1+1)/(-2-8)

(y+1)/(x-8) = 0

y+1 =0

y= -1

8 0
3 years ago
If you know that the exact volume of a cylinder is 500 π cm3, how can you find the approximate volume, without knowing the heigh
OLga [1]
The formula for the volume of a cylinder ( V<span>=πr2</span>h) is useable to find the missing height. Then, to find the radius, use the equation, <span>r = square root of (V / (pi x h)). Plug your numbers into the equation and solve.</span>
5 0
3 years ago
What is 3 billion divided by 24 simplified
wariber [46]

Answer: one hundred and twenty five million

6 0
3 years ago
Read 2 more answers
Other questions:
  • Points B, D, and F are midpoints of the sides of Angle ACE. EC = 39 and DF = 16. Find AC. The diagram is not to scale.
    9·2 answers
  • The graph of g(x) is f(x) translated to the left 8 units and up 2 units. What is the function rule for g(x) given f(x) = x²?
    11·1 answer
  • What is 20% off of 35
    12·2 answers
  • Fill in the blank and with &gt; &lt; or = to make the statement true <br> 5/8 ____ 1/4
    14·1 answer
  • 1<br> Solve: -1/2x+2=-x+7
    13·2 answers
  • If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
    13·1 answer
  • 3+2i rationalize the denominator
    13·1 answer
  • PLEASE PELASE PLEASE HELP ME
    5·1 answer
  • Jaylen hires a caterer for a party in his backyard. The caterer charges $100 for each hour, h, she is working at the party and $
    12·1 answer
  • Given f(x) = -9x - 1 and g(x) = 4x + 1, find (f.g)(x).
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!