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
borishaifa [10]
3 years ago
7

In triangle PQR, m angle R = 32, p = 21, and q = 21. what is side lenth r? explain each step

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

11.577 = r

Step-by-step explanation:

Comment

When you draw a sketch of this, <R is between p and q - - both of which are lines. The Cos law is the one you use.

Equation

r^2 = p^2 + q^2 - 2pq * Cos(R)

Givens

p = 21

q = 21

R = 32

r = ?

Solution

r^2 = 21^2 + 21^1 - 2*21*21 * Cos(32)     Substitute givens into the equation

r^2 = 441 +441 - 882 * 0.8480               Add the first two terms.

r^2 = 882 - 747.98                                 Multiply Cos(32)  by 2 * 21 * 21

r^2 = 134.02                                            Subtract 747.98 from 882

sqrt(r^2) = sqrt(134.02)                           Take the square root of both sides.

r = 11.577

You might be interested in
Evaluate the expression for the given value of the variable y/8+12;y=32
lisabon 2012 [21]

32÷8+12=16

32÷8=4

4+12=16

6 0
4 years ago
Read 2 more answers
5/7^3=5(7^x)<br> Find X.<br> Thanks.
Zina [86]
Hello,

\dfrac{5}{7^3}=5*7^x\\&#10;5*7^{-3}=5*7^x\\&#10;&#10;\boxed{x=-3}&#10;
8 0
3 years ago
Jeffery is wrapping a box. the dimensions of the box are shown. What is the surface area of the box
Schach [20]

Answer: 232

Step-by-step explanation:

Surface area = everything multiplied x 2

3 0
3 years ago
What’s the until rate for 3 and 2/3 feet per 11/60
Aneli [31]

Answer:

11/3 divides by 60/11 = 660/33 = 20

Step-by-step explanation:

3 0
4 years ago
Agent groot uses his secret spy camera to photograph some of his enemies that are plotting to take over the world. He takes 48 o
ehidna [41]

Answer:

40% of the photos are victor

Step-by-step explanation:

48/(48+32+40)

6 0
3 years ago
Other questions:
  • Which of the following is the sine of angle A in the right triangle shown?
    7·2 answers
  • ASAP WILL GIVE BRAINIEST TO FIRST PERSON TO ANSWER
    14·1 answer
  • What is ( 2 ^8 x 5^-5 x 19^0) ^-2 x ( 5^-2 / 2^3 ) ^4 x 2^28
    13·1 answer
  • Management selection. A corporation plans to fill 2 different positions for​ vice-president, Upper V 1 and Upper V 2​, from
    12·1 answer
  • How can prime factorization help assist with LCM and GCF?
    9·1 answer
  • Find the equation for the circle with center (4,-5) and passing through (5,-4)
    13·1 answer
  • What is the length of the diameter?
    9·2 answers
  • Plz help me with this asap​
    6·2 answers
  • Who is farther? a a Briel and Daniela are siblings. One day, Briel decided to go on a mountain climbing but Daniela went to the
    13·2 answers
  • Given 3 and m are the roots of the quadratic equation 2x2 + kx - 15 = 0. Find the values of k and m.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!