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
soldier1979 [14.2K]
3 years ago
9

Solve the triangle. Round your answers to the nearest tenth.

Mathematics
1 answer:
Tresset [83]3 years ago
6 0

Answer:

<B = 47°

<C = 28°

b = AC = 28.0

Step-by-step explanation:

Given:

∆ABC

AB = c = 18

BC = a = 37

<A = 105°

Required:

Length of AC = b

measure of angle B and angle C

SOLUTION:

==>Use the sine rule, sin A/a = sinC/c to find the angle of C:

SinA = sin(105) = 0.9659

a = 37

sinC = ?

c = 18

0.9659/37 = sinC/18

Cross multiply

0.9659*18 = 37*sinC

17.3862 = 37*sinC

Divide both sides by 37

17.3862/37 = sinC

0.4699 = sinC

sinC = 0.4699

C = Sin-¹(0.4699)

C = 28.0° (nearest tenth)

==>Find angle B using sum of angles in a triangle:

Angle B = 180 - (105+28)

Angle B = 180 - 133

Angle B = 47°

==>Find length of b using sine rule, b/sinB = c/sinC:

SinC = sin(28) = 0.4695

SinB = sin(47) = 0.7314

c = 18

b = ?

b/0.7314 = 18/0.4695

Cross multiply

b*0.4695 = 18*0.7314

b*0.4695 = 13.1652

Divide both sides by 0.4695

b = 13.1652/0.4695

b = 28.0 (nearest tenth)

You might be interested in
Mr.Hoges wants to build a fence around his entire rectangular garden.What is the total distance around his garden
svetoff [14.1K]

Answer:

The total distance of the rectangular garden is the perimeter of the garden.

Step-by-step explanation:

Since the garden is in a rectangular shape. So, the perimeter of the rectangular garden is the distance on which Mr. Hoges can build the fence. However, the perimeter can be determined by adding all the sides. A rectangular shape contains four sides and opposite sides are equal. Thus, it can be determined by using the below formula;

P=2(l+b)

Where

l = length of the garden

b is the breadth of the garden

3 0
3 years ago
Fatima paid a $50. Initiation fee to join a gym. She also pays a fee of $25 per month. Write an expression that shows how much F
Morgarella [4.7K]
When it says per month, it means to multiply. In this case, the expression would be;

25x+50 

So however many months Fatima has spent at the gym, you would multiply that times 25 and add the initiation fee. Hope this helps. 

3 0
4 years ago
How to solve: 2y+21=3y+1
Strike441 [17]

Answer:

y=20

Step-by-step explanation:

2y+21 = 3y+1

Subtract 2y from both sides,

21 = 3y-2y +1

Subtract 1 from both sides,

y = 20

6 0
3 years ago
Read 2 more answers
Find the missing value 1/2 equals 28 over X ​
muminat

Answer:

x = 56

Step-by-step explanation:

cross multiply. 28 times 2 and 1 times x. set them equal to each other and solve for x to get 56.

8 0
3 years ago
John decides to use the method of proportions and similar
Pavlova-9 [17]

Answer:

i believe the answer is A please tell me if im wrong

8 0
3 years ago
Read 2 more answers
Other questions:
  • Geometry is the study of how shapes and space and things that we see . . . a. Change the way we use science b. Affect our though
    12·1 answer
  • whats 9+10?idk i cant seem to figure it out heeeeeeeeeeeeeeeeeeeeeeeeeeeelp me pleeeeeeeeeeeeeeeese. it the most hard math probe
    8·2 answers
  • Zach wants to have a flower bed in his backyard he measures the area of the flower bed to be 10 square feet the actual measureme
    15·1 answer
  • Use substitution to solve the system of equations.<br> y + x = 3<br> y = 1.5x + 1
    13·1 answer
  • The grocery store sells 3 packages of biscuits for $1.35. At this rate, how much will 8 packages of biscuits cost?
    5·1 answer
  • You are playing a card game with a standard deck of cards. How many way
    11·1 answer
  • What is the sum of the measures of the interior angles of a 14-gon?
    14·2 answers
  • Please answer this question !! Thank you !! Will give brainliest !!
    9·1 answer
  • Which function has the same domain as
    9·1 answer
  • Does that look right
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!