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
damaskus [11]
3 years ago
6

Find the value of b. Round the nearest tenth.

Mathematics
1 answer:
maria [59]3 years ago
3 0

Answer:

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Step-by-step explanation:

Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that

sin A / a = sinB/b = sin C / C

= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get

sin(55°)/8 = sinB/b

If we know sinB, we can multiply both sides by 8 to remove a denominator to get

sin(55°) * b / 8 = sinB

multiply both sides by 8 to remove the other denominator to get

sin(55°) * b = sinB * 8

divide both sides by sin(55°) to isolate the b

b = sinB * 8/sin(55°).

Therefore, if we know sinB, we can figure out the length of b.

Because the angles of a triangle add up to 180 degrees, we can say that

180 = 82 + 55 + angle B

180 = 137 + B

subtract both sides by 137 to isolate B

43 = B

b= sin(43°) * 8 / sin(55°) ≈ 6.7

You might be interested in
The distributive property of 48x3<br> ( )+( )
Andru [333]
The answer is 144:) :)
7 0
3 years ago
Read 2 more answers
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE
kotykmax [81]
The answer is 1,2,4,6,8 because the circle has a circumference of 9
4 0
2 years ago
Read 2 more answers
The distance from the center of a carousel to the
anzhelika [568]

Answer:

\fbox{\begin{minipage}{3.5em}338 (ft)\end{minipage}}

Step-by-step explanation:

The problem could be simplified as following:

Given:

The radius of a circle O is 26 feet.

Solve for:

The length of arc on circle O that measures 13 radians

Solution:

Step 1: Let's find out the correct formula to apply:

The formula to calculate the length of an arc measuring x radians on a circle with radius r feet is:

L = r*x

Step 2: Let's put the data into formula to work out the length L of arc:

L = 26*13 = 338 (ft)

=>  The distance that a horse does on the outer edge travel  when the carousel rotates through 13 radians: L = 338 (ft)

Hope this helps!

:)

7 0
3 years ago
Bria ordered 145 centimeters of fabric. Jayleen ordered 1.5 meters of fabric. Who ordered more fabric?
lubasha [3.4K]
Bria: 145 centimeters
Jayleen: 1.5 meters

I'm going to convert Jayleen's into centimeters:
1 meter has 100 centimeters

1.5 x 100 = 150 centimeters

so,
Bria:145 centimeters
Jayleen: 150 centimeters

So, Jayleen bought more fabric
5 0
3 years ago
Read 2 more answers
A scatterplot has a positive, linear correlation. Which statement is true about the relationship between the x- and y-
krek1111 [17]

Answer:

Hence, option: A is the correct answer.

A. As the x-values increase, the y-values tend to increase.

Step-by-step explanation:

It is given that:

A scatterplot has a positive, linear correlation.

By positive we means that as the x-value increases the y-value also keeps on increasing and by linear relation we mean that it increases somewhat by a constant amount so that the we get a line of best fit.

Hence, the statement which  is true about the relationship between the x- and y-values is:

A. As the x-values increase, the y-values tend to increase.

3 0
2 years ago
Read 2 more answers
Other questions:
  • Determine the simple interest on an account paying 5.5% annually interest of an investment of 20,650
    13·1 answer
  • Which of the following is a factor of x^6 + 1000?​
    5·2 answers
  • How many students did Rebecca observe when she collected her data?
    6·1 answer
  • Choose which statement is true.
    5·1 answer
  • M is the midpoint of cd. the coordinates c is (6,9) and coordinates d is (6,15) where are the coordinates of m
    12·1 answer
  • The Fancy Feet Dog kennel has twice as many large breed dogs as small breed dogs. There are 10 large breed dogs. Write the equat
    15·1 answer
  • You have a wire that is 77 cm long. You wish to cut it into two pieces. One piece will be bent into the shape of a square. The o
    6·1 answer
  • If Bob paid $41.44 for 14 gallons what is the price of gas per gallon
    11·1 answer
  • Please help will give brainliest
    15·2 answers
  • How can I draw this problem?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!