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
djyliett [7]
3 years ago
15

In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

36.93\ ft

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

C=\pi D

we have

D=25.2\ ft

substitute

C=25.2\pi\ ft

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the arc length by a central angle of 168 degrees

\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft

You might be interested in
Alex lady sketch for a homemade soccer goal he plans to build . Do you go will be in the shape of a triangular prism . The legs
Otrada [13]
The triangular prism has a volume of
.. V = Bh = (1/2)*(4ft *8 ft)*(24 ft) = 384 ft^3
7 0
4 years ago
A city has a population of 310,000 people. Suppose that each year the population grows by 9%. What will the population be after
Leno4ka [110]

Answer: 644,800

Step-by-step explanation:

This can also be solved using the terms of Arithmetic Progressions.

Let the 13 years be number of terms of the sequences (n)

Therefore ;

T₁₃              = a + ( n - 1 )d , where a = 310,000 and d = 9% of 310,000

9% of 310,000 = 9/100 x 310,000

                        = 27,900

so the common difference (d)

                     d = 27,900

Now substitute for the values  in the formula above and calculate

T₁₃              = 310,000 + ( 13 - 1 ) x 27,900

                  = 310,000 + 12 x 27,900

                  = 310,000 + 334,800

                  = 644,800.

The population after 13 years = 644,800.

 

3 0
3 years ago
Is 4y=x a direct variation
worty [1.4K]
The direct variation equation is y =kx

Lets see:-

4y/4 = x/4
y = 1/4x

<span>Answer: Yes, this is a direct variation </span>
6 0
3 years ago
Read 2 more answers
What expression represents the volume of the cylinder, in cubic units?
Marat540 [252]

Answer:

It's A

Step-by-step explanation:

I hope that it's a correct answer.

7 0
3 years ago
Using the provided table, calculate the effective tax rate for a single taxpayer with a taxable income of $52,000.
barxatty [35]

Answer:

Option C is correct ,14.2%

Step-by-step explanation:

In order to determine the effective tax rate of a taxpayer with taxable income of $52,000,the starting point to determine how much in taxes the taxpayer pays as shown below:

First tax bracket=$9,525*10%=$952.5

Second tax bracket=$952.50+(12%*($38700-$9,525))

                                =$952.50+$3501

Third tax bracket(where the taxpayer belongs)=4453.5 +(22%*($52,000-$38,700))

third tax bracket tax=4453.5+$2926 =$7379.5

Since the total tax payable of  $7379.5   is now computed,

effective tax rate=tax paid/taxable income=7379.5/52000 =14.2%

7 0
3 years ago
Read 2 more answers
Other questions:
  • The midpoint of the line segment at (1,7) and (5,5) is A) (3,6) B) (2,6) C) (3,1) D) (2,1)
    5·1 answer
  • The temperature t is at least 75°F?
    12·1 answer
  • Five hundred randomly selected working adults living in Calgary, Canada were asked how long, in minutes, their typical daily com
    10·1 answer
  • How many solutions are there to the equation below?9x - 16 = 9x - 23
    10·2 answers
  • - 27 - 13c=9<br><br><br> would this come out to be a fraction?
    12·1 answer
  • If Quinn has 14 nickels and dimes in his pocket, and they have a combined value of 110 cents, how many of each coin does he have
    11·1 answer
  • Helpp!!
    7·2 answers
  • Is the square root of 3 rational?
    5·1 answer
  • Solve: <br> -5x = 30?<br> Can someone help me
    11·2 answers
  • Setup a trig equation to solve for the angle indicated:
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!