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
elena55 [62]
3 years ago
12

Two sides of a parallelogram measure 60 centimeters and 40 centimeters. If one angle of the parallelogram measures 1320, find th

e
length of each diagonal.
a.about 86.4 cm and 54.2 cm
c.about 91.7 cm and 54.2 cm
b. about 91.7 cm and 44.6 cm
d. about 86.4 cm and 44.6 cm​

Mathematics
1 answer:
UkoKoshka [18]3 years ago
4 0

Answer:

  b. about 91.7 cm and 44.6 cm

Step-by-step explanation:

The lengths of the diagonals can be found using the Law of Cosines.

Consider the triangle(s) formed by a diagonal. The two given sides will form the other two sides of the triangle, and the corner angles of the parallelogram will be the measure of the angle between those sides (opposite the diagonal).

For diagonal "d" and sides "a" and "b" and corner angle D, we have ...

  d² = a² +b² -2ab·cos(D)

The measure of angle D will either be the given 132°, or the supplement of that, 48°. We can use the fact that the cosines of an angle and its supplement are opposites. This means the diagonal measures will be ...

  d² = 60² +40² -2·60·40·cos(D) ≈ 5200 ±4800(0.66913)

  d² ≈ {1988.2, 8411.8}

  d ≈ {44.6, 91.7} . . . . centimeters

The diagonals are about 91.7 cm and 44.6 cm.

You might be interested in
Given m \| nm∥n, find the value of x.
Alex Ar [27]

Answer:

x=32

Step-by-step explanation:

If you do 2x-16+4x+4=180, then you should get 32.

8 0
3 years ago
Help, I'm doing rhis problem and need help checking if I'm right.
umka2103 [35]
To me it looks like your right
7 0
3 years ago
Can you please help me?
eduard

Answer:

sorry can't help didn't understand

3 0
2 years ago
Would mean a lot help plz
user100 [1]
Answer is unlikely.

Hope it helps!
6 0
3 years ago
The angles below are supplementary. What is the value of X?
zubka84 [21]
So you make your equation 4x+20+40=180.
Add like terms and get 4x+60=180.
Subtract 60 from both sides, get 4x=120.
Divide boths sides by 4, get your answer of x=30.
Hope this helps
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which ordered pair is a solution of the equation?
    10·2 answers
  • At Britney's Beading Boutique, 60% of the 85 beads on clearance are plastic. How many plastic beads are there on clearance?
    9·1 answer
  • The area of a circle is 16 cm What is the circle's circumference?
    14·1 answer
  • coach cliffman made a deposit of $1,800 into an account that earns 2% annual simple interest. find the amount of interest that c
    7·1 answer
  • Just two more thanks for all the help thus far
    14·1 answer
  • Which segment is parallel to FE?
    7·1 answer
  • (1) Logan has 6 pounds of paste. Each time he makes dinner he uses 34 pound of
    15·1 answer
  • The expression 36/6x2+1 is equal to<br> 13<br> 4<br> 2<br> 18
    5·2 answers
  • 3.
    12·1 answer
  • Omg pls help and include work if you can. please simplify
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!