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
MaRussiya [10]
2 years ago
15

A garden has the shape of a circular sector such that its straight sides measure 50 feet in length and the central angle is 132°

. if the garden needs to be surrounded by fencing, how many feet are needed to enclose the garden?
Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0

Answer:

  215 ft

Step-by-step explanation:

The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...

  s = r·θ . . . . . where θ is the central angle in radians

__

<h3>arc length</h3>

There are π radians in 180°, so the arc will have a measure in radians of ...

  θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians

Then the length of the curved side of the garden is ...

  s = (50 ft)(2.3038 radian) ≈ 115.2 ft

__

<h3>perimeter</h3>

The fence length is the sum of the arc length and the two radii:

  perimeter = 115.2 ft + 2×50 ft = 215.2 ft

About 215 feet of fencing are needed to enclose the garden.

You might be interested in
Which of the following can cause market failure?
nalin [4]

Answer: C

Step-by-step explanation: not enough information

5 0
3 years ago
Help NEEDED!!!! plzzzzzz.....
julsineya [31]
Sin30= opposite/hypotenuse
sin30= AC/10
AC= 4.5cm
Tan25= opposite/adjacent
Tan25= 4.5/ CD
CD= 10.7
7 0
3 years ago
Approximate the solution to the system of equations.
Ann [662]

Answer:

a) at x=0.5  y=2  and at x=1  y=2 this similarity in values shows that the solution for x is between 0.5 and 1

c) The x  solution will be between  x=0.0 and x=0.7 .

There is a similarity in values of y at x=0.6, y=2.4 and at x=0.7 , y=2.4

d) For x= (0.6+0.7)/2 = 1.3/2 =0.65

   For y= (2.4+2.3)/2 =4.7/2=2.35

  Approximate solution is (0.65, 2.35)

8 0
3 years ago
Can anyone answer this?
Alona [7]

Answer:

Because the triangle is isosceles, the base angles are congruent. Since the sum of angles in a triangle is 180° we can write:

24 + x + x = 180

24 + 2x = 180

2x = 156

x = 78°

8 0
3 years ago
Read 2 more answers
Mary spent a total of $292.04 for a party. She spent $200.21 on food, plus an additional $30.61 for each hour of the party. How
Ne4ueva [31]

Answer:

3h

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • 5÷6 is 5/6. what is 1/6 of 5
    5·1 answer
  • The singing competition started with 794 contestants. Now, only 247 contestants are still in the competition. How many contestan
    14·1 answer
  • If your car gets 34 miles per gallon of gas and you have traveled 153 miles, how many gallons of gas have you used?
    13·1 answer
  • Need help quickly please
    8·1 answer
  • Two students factored 2x^2 + 6x - 20. Leuko said that the factorization was (2x - 4)(x + 5). Ray gave the factorization as (x -
    15·2 answers
  • Can someone please help me
    9·1 answer
  • $2.25
    12·1 answer
  • The ratio of boys to girls in a class is 5:3. There are 32 students in the class. How many students are boys?
    13·2 answers
  • What does "B" stand for in the volume formula?
    15·2 answers
  • Help me with Math. <br><br> What should be the slope intercept form if m = 8 and b = 6?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!