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
joja [24]
3 years ago
6

Find the unknown sides and angles of this triangle using the Law of Cosines. Round to the nearest hundredth.

Mathematics
1 answer:
Svetlanka [38]3 years ago
3 0

Answer:

Side c = 10.35

Angle A = 50.87°

Angle B = 94.13°

Step-by-step explanation:

The Law of Cosines states that:

a² = b² + c² - 2bcCos A

We are to to find side c, Angle A and B

side a = 14

sides b = 18

Angle C = 35°

1) Side c

= c² = a² + b² - 2abCos C

c² = 14² + 18² - 2 × 14 × 18 Cos 35

c = √(14² + 18² - 2 × 14 × 18 Cos 35)

c = 10.3512

Approximately = 10.35

2) Angle A

Cos A = b² + c² - a²/2bc

A = arc cos (b² + c² - a²/2bc)

A = arc cos (18² + 10.35² - 14²/2 × 18 × 10.35)

A = 50.8737°

A = Approximately = 50.87°

3) Angle B

Cos B = a² + c² - b²/2ac

B = arc cos (a² + c² - b²/2ac)

B = arc cos (14² + 10.35² - 18²/2 × 14× 10.35)

A = 94.13123°

A = Approximately = 94.13°

You might be interested in
Indicate the formula for the following conditions. P(n,r)=
Oliga [24]

The formula is a permutation in which n represents the sample points in the set, while r represents the number of sample points in each permutation.

7 0
3 years ago
Read 2 more answers
Problems of the Week (P.O.W.)
ladessa [460]

Answer:

Each pencil cost $0.51

Step-by-step explanation:

4 0
3 years ago
Every 10 seconds, a printing company prints 50 books. How many books are printed in 1 minute?<br>​
Svetlanka [38]

Answer:

300 books

Step-by-step explanation:

10 x 6 = 1 min

50  x 6 = 300

8 0
3 years ago
Read 2 more answers
Ingrid Nilsen purchased a $4,000 hydroponic system for her garden. The down payment is 20%, and the
Cerrena [4.2K]

The purchase of the hydroponic system by Ingrid Nilsen for $4,000 with a 20% down payment at 10% APR for 36 months, and the related calculations, are as follows:

a) down payment = $800.00 ($4,000 x 20%)

b) amount financed = $3,200 ($4,000 - $800)

c) monthly payment = $103.25

d) total amount repaid = $4,517

e) finance charge = $517

<h3>How is periodic payment computed?</h3>

The amount of the periodic payment, finance charge, and total repayment can be computed using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

Auto Price = $4,000

Loan Term = 36 months

Interest Rate = 10%

Down Payment = $800 ($4,000 x 20%)

Monthly Payment  = $103.25

Total Loan Amount $3,200.00

Upfront Payment = $800.00 ($4,000 x 20%)

Total of 36 Loan Payments = $3,717. ($103.25 x 36)

Total Loan Interest = $517

Total Cost (price, interest, tax, fees) = $4,517

Thus, Ingrid Nilsen repaid a total of $4,517 with $517 in interest (finance charge).

Learn more about periodic payments at brainly.com/question/13098072

#SPj1

5 0
2 years ago
3c+8=14 linear equation solve for variable​
slava [35]

Answer:

c=2

Step-by-step explanation:

3c+8=14

subtract 8 from both sides

3c=6

divide both sides by 3

c=2

3 0
3 years ago
Other questions:
  • A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formulas to determine the perimeter of t
    7·1 answer
  • shipping container is in the shape of a right rectangular prism with the length of 12 feet, width of 8.5 feet , and A height of
    6·1 answer
  • Solve irrational equation pls
    7·1 answer
  • What is the answer to... 5m+8n-2(3m-n)?
    10·2 answers
  • What is the volume of a sphere with a radius of 21 units?
    14·2 answers
  • HELP ME FOR 15 POINT NOW PLZ PLZ
    13·1 answer
  • Help wit 19 ASAP WILL MARK BRAINLIST
    14·1 answer
  • Find the area of the shape shown below.
    6·2 answers
  • Use any method of your choice to solve this system. <br><br>2x−y=11 <br><br>6x−3y=15
    15·1 answer
  • A door mat is 21 inches wide and 27 inches long .what is its perimeter
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!