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
MatroZZZ [7]
2 years ago
10

In △ABC, we are told that c=11, ∡C=75∘, and ∡B=29∘. Solve for a and b.

Mathematics
1 answer:
mote1985 [20]2 years ago
8 0

The value of a and b are 5.5 and 11.0.

<h3>How to find side of a triangle?</h3>

The sides a and b of the triangle can be found as follows:

∠B = 29°

c = 11

∠C = 75°

∠A = 180 - 75 - 29 = 76°

Using sine ratio,

b / sin 29° = 11 / sin 75

b sin 75 = 11 sin 29

b =  11 sin 29 / sin 75

b = 5.33290582271 / 0.96592582628

b = 5.51816958277

b = 5.5

Let's find a,

a / sin 76 = 11 / sin 75

a sin 75 = 11 sin 76

a = 11 sin 76 / sin 75

a = 10.673252989 / 0.96592582628

a = 11.0466922042

a = 11.0

learn more on triangle here: brainly.com/question/3649623

#SPJ1

You might be interested in
The ratio of the number of A's in the class to B's in the class was 2:5. How many people got A's if there were 40 people who got
Umnica [9.8K]

Answer:

16 students got an A

Step-by-step explanation:

Set up an equation to compare the ratio to the scores:

\frac{2}{5} = \frac{x}{40}

Cross multiply:

80 = 5x

Divide each side by 5:

x = 16

Now, check if \frac{16}{40} = \frac{2}{5}

16/8 = 2

40/8 = 5

The ratios are the same! Therefore, 16 students got an A!

Hope this helps! Feel free to contact me if you have any questions :)

7 0
3 years ago
Read 2 more answers
I need help on number 8 and how to write it in the solved form
DerKrebs [107]
It is >5. put a black dot on 5 with a around pointing to one
5 0
3 years ago
Ellen drove 357.3 miles.for each gallon of gas,the car can travel 21 miles.select a reasonable estimate of the number of gallons
kari74 [83]
Just a little over 17 gallons was used
7 0
3 years ago
A clown had 10 balloons that he sold at a carnival dor 6 cents each. if he sold all 10 balloons, how mush money did he make​
saveliy_v [14]

Answer:

Step-by-step explanation:

You would do 10*0.06 to get 0.6

So her sold 60 cents worth of balloons

6 0
3 years ago
Read 2 more answers
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Other questions:
  • How is this correct?
    9·1 answer
  • What is 31.75 divided by .57
    12·2 answers
  • Three of the vertices of a rectangle have coordinates (-1, -1), (6, -1), and (-1, 2). What are the coordinates of thefourth vert
    13·1 answer
  • HELP ME PLEASE~!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
    8·1 answer
  • 2. Trish had to make 24 cookies for her son's
    12·1 answer
  • What is 4 to the 3rd power
    13·2 answers
  • (05.06 LC)
    11·1 answer
  • Which graph represents a function? please help
    14·2 answers
  • consider the line y=9x-2. find the equation of the line that is perpendicular to this line and passes through the point (2,-6).
    10·1 answer
  • Write 0.5 repeating as a fraction
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!