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]
2 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]2 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
Please help with #31!!! BRAINLIEST to correct answer!!
spin [16.1K]

Answer:

the view would be A I do believe

good luck!

5 0
2 years ago
Read 2 more answers
What is the product in lowest terms?
Alisiya [41]
-5/12 × 8/13

First, we need to start out by applying the multiplication rule towards fractions. If you haven't learned or don't remember the rules, you can always look up fraction rules. The rule is: a/b × c/d = ac/bd. Basically, we are combining the numerators and both of the denominators.
- \frac{5 \times 8}{12 \times 13}

Second, let's now multiply what we have in the fraction. (5 × 8 = 40) and (12 × 13 = 156). Doing so will create a new fraction for us to use.
-\frac{40}{156}

Third, now obviously, we can simplify the fraction we just got into lower terms. To do that, we have to collect the greatest common factor (GCF) of both the numerator and denominator and list their factors to find the common factor that is the greatest.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Factors of 156: 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Out of the listed factors, which of those are the common ones? 1, 2, and 4 are the common factors. Since we are looking for the greatest common factor, it would be 4 since that is the higher number out of the commons. The GCF is 4.

Fourth, we can now divide our numerator (40) and our denominator (156) by the GCF we just found out, which was 4. 
40 \div 4 = 10  \\ 156 \div 4 = 39

Fifth, our last step is to create our new simplified fraction. All we have to do is take our new numerator and denominator to see the fraction. 

Answer in fraction form: \fbox {-10/39}
Answer in decimal form: \fbox {-0.2564}
4 0
2 years ago
Which expressions are equivalent to 64’1Check all that apply.
erastovalidia [21]

Answer: a,c,f (4^3, 8^2, 2^6)

Step-by-step explanation:

8 0
2 years ago
PLEASE HELP ME FAST
REY [17]
That would mean every word in the english language includes every letter of the alphabet.

A word with a 1/2 chance of a vowel is “Boat”
5 0
3 years ago
Find the values of x and y using the give chord, secant, and tangent lengths
garri49 [273]

Answer: 7

Step-by-step explanation:

7

3 0
3 years ago
Other questions:
  • jack lease a car for $159\month for 39 months. the amount due when he signed the lease was 2399. how much did jack pay during th
    10·1 answer
  • If y=x and y=x+2 are the same, then how many solutions does it have
    9·1 answer
  • -Based on the construction, you can conclude that the line passing through
    11·2 answers
  • The simple interest x on an investment would take p dollars at an interest rate r or t years is given by x=prt. Find the time it
    7·2 answers
  • Sequence 7/8,2/5,1/6,3/4
    13·1 answer
  • Good at area pls helppp <br><br> Find the area. The figure is not drawn to scale.
    5·1 answer
  • Please help ASAP
    10·1 answer
  • Use the elimination method to solve the system of equations?<br> 6x+2y=8<br> 12x+y=22
    6·1 answer
  • Kerry and her brother and noticed there is 3/4 of a pint of ice cream in the freezer. After they eat some ice cream there is 1/3
    13·1 answer
  • Question Today, everything at Nike is on sale. The store offers a 25% discount.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!