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
castortr0y [4]
3 years ago
8

A 45 degree sector in a circle has an area of 13.75 pi cm squared. what is the area of the circle. use 3.14 for pi

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer: A_c=345.4\ cm^2

Step-by-step explanation:

You need to analize the information given in the exercise.

By definition, there are 360 degrees in a circle.

In this case, you know that  the Central angle in degrees of the  given sector of the  circle is the following:

C=45\°

And the area of that sector is this one:

A_s=13.75\pi\ cm^2

Then, you need to calculate the number of sectors in that circle.

 In order to do it, you have to divide 360 degrees by the central angle of that sector. So, you get:

N\° Sectors=\frac{360\°}{45\°}=8

Knowing that there are 8 sectors in the circle, you need to multiply the area of the sector given in the exercise by 8, in order to calculate the area of the circle.

Therefore, this is (Using \pi =3.14):

A_c=8A_s\\\\A_c=(8)(13.75*3.14)\ cm^2\\\\A_c=345.4\ cm^2

You might be interested in
Which graph represents the function f(x)=4⋅3x ?<br> Please help!!!
S_A_V [24]

Answer:

Option D is correct.

Step-by-step explanation:

An exponential function is in the form of y =ab^x where a is the initial value and b≠ 0 , b >1 .

Given: The function f(x) = y = 4 \cdot 3^x           ......[1]

The domain is all real numbers and the range is y > 0.

y-intercept defined as the graph crosses the y-axis.

Substitute the value of x= 0 in [1] to solve for y;

y = 4 \cdot 3^0  = 4

y-intercept = (0, 4)

End behavior:

when b =3 >1

then;

as x \rightarrow \infty , f(x)\rightarrow \infty

as  x \rightarrow -\infty , f(x)\rightarrow 0

therefore, the only graph which represents the function y = 4 \cdot 3^x   is Option D



6 0
2 years ago
If the measure of angle 2 = 7x + 7 and the measure of angle 4 = 5x + 27, find the following
padilas [110]

Answer:

x = 10

m angle 2 = 77

m angle 4 = 77

m angle 5 = 103

Step-by-step explanation:

you can equate angle 2 to angle 4, solve for x. then plug in the x value. a angle 2 and 4 will both be 77. angle 5 will be 180-77since angle 2 and 6 are congruent, and angle 6 forms a straight line with angle 5.

4 0
2 years ago
Pls help ASAP will mark Brainlyest!!
Alika [10]

Answer:

312cm2

Step-by-step explanation:

Area of the triangles:

A =1/2bh

A=1/2(10*12) = 1/2*120=60.

There are two triangles. 60*2=120. 120 is the area of both triangles.

Area of the rectangle:

16*12=192.

120+192=312cm2

3 0
2 years ago
Read 2 more answers
D’Andra has a dentist appointment in 5 weeks. There are 7 days in a week. How many days are in 5 weeks?
Lisa [10]

Answer:

A. 35

Step-by-step explanation:

Each week has 7 days, and we have 5 weeks.

Week 1 has 7 days.

Week 2 has 7 days.

Week 3 has 7 days.

Week 4 has 7 days.

Week 5 has 7 days.

We can add all these together to get the total number of days: 7 + 7 + 7 + 7 + 7 = 7 * 5 = 35.

Thus, the answer is A.

Hope this helps!

8 0
3 years ago
Read 2 more answers
The graph of the function showing the path of a soccer ball thrown by a goalie in a video game, f(x) = –0.05x2 + 2.5x + 5.2, is
Tju [1.3M]

Answer:

The correct option is 4.

Step-by-step explanation:

The given function is

f(x)=-0.05x^2+2.5x+5.2

Where f(x) is height of the ball and x is the distance.

It is a polynomial function with degree 2. All polynomial functions are defined for all real numbers, therefore the mathematical domain of the function is all real numbers.

-\infty

Factorize the given function.

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-50x-104)

f(x)=-0.05(x^2-52x+2x-104)

f(x)=-0.05(x(x-52)+2(x-52))

f(x) = -0.05 (x - 52) (x + 2)

Put f(x)=0 to find the x intercepts.

0 = -0.05 (x - 52) (x + 2)

Equate each factor equal to 0.

x=52,-2

Therefore at x=52 and -2, the graph of f(x) intersects x-axis. Before x=-2 and after x=52 the values of f(x) is negative. Height cannot be negative, therefore reasonable domain is lie between -2 to 52.

Distance cannot be negative, therefore the reasonable domain must be positive.

0\leq x\leq 52

Therefore the reasonable domain is 0\leq x\leq 52 and option 4 is correct.

6 0
2 years ago
Other questions:
  • The table shows the amount of money in your bank account over a period of 5 weeks. You plan to keep saving at the same rate unti
    14·2 answers
  • What is the rate of $120 for 15 books written as a unit rate? thank u
    14·1 answer
  • (1 point) How many ways can you give 9 (identical) apples to your 5 favourite Mathematics lecturers (without any restrictions)?
    5·1 answer
  • Help ASP NEEDS DONE HELPPPPPPP
    11·2 answers
  • Isaac was having cookies and milk with his
    13·1 answer
  • Which scatterplot does NOT suggest a linear relationship between x and y?
    12·1 answer
  • Which of the statements is true?
    15·1 answer
  • 24 ÷ 4 - 2 x 3 [brainliest to best answer]
    11·2 answers
  • Write an equation of a line that
    5·1 answer
  • Given h(x)=5x-5h(x)=5x−5, find h(2)h(2). it is not 3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!