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
sp2606 [1]
3 years ago
12

The circle on the right has center O. Its radius is 3 yd., and the central angle a measures 130°. What is the area of the shaded

region? Give the exact answer in terms of π, and be sure to include the correct unit in your answer.

Mathematics
1 answer:
Soloha48 [4]3 years ago
7 0

Answer:

area of the sector = 3.25π yard²

Step-by-step explanation:

The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.

area of a sector = ∅/360 × πr²

where

∅ = center angle

r = radius

area of the sector = 130/360 × π × 9

area of the sector = 1170π/360

area of the sector = 3.25π yard²

If the shaded area is segment. The shaded area can be solved with the formula.

Area of segment = area of sector - area of the triangle

Area of segment =  ∅/360 × πr² - 1/2 sin∅ r²

The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle

 

You might be interested in
Algebra 1 plz help me
sasho [114]

Answer:

Step-by-step explanation:

solution is (4,3)

OR

x=4

y=3

this point lies in both the tables.

we have to find a pair which lies on both.

8 0
3 years ago
Find the zeros and verify x^2 +2x-180
Arada [10]

Answer:

Rounded to the nearest tenth they are -14.5 and 12.5

Step-by-step explanation:

The zeros of a function are the x-intercepts or roots where the function crosses the x-axis. To find them, graph the function x^2 +2x-180 and zoom in on the x-axis.

See attached picture.

6 0
3 years ago
Simplify each of the following ratios.<br>e) 2/3 : 3/2 : 5/8​
Snezhnost [94]

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

6 0
2 years ago
Read 2 more answers
What is the slope of the line created by this equation?Round your answer out to two decimal places.3x+5y=7
tia_tia [17]

The given equation is

3x+5y=7

Consider the slope-intercept form.

y=mx+b

Rewriting the given equation in the slope-intercept form.

3x+5y=7

Subtracting 3x from both sides, we get

3x+5y-3x=7-3x

Dividing both sides by 5, we get

\frac{5y}{5}=\frac{7-3x}{5}y=-\frac{3}{5}x+\frac{7}{5}

y=-0.6x+1.4

Compared to the slope-intercept form, we get m=-0.6 and b=1.4.

Hence the slope m= -0.60.

4 0
11 months ago
What is the m for this slope?
Blababa [14]

Answer:

-3/4x

Step-by-step explanation:

Down 3, right 4. We know it's negative because it's declining, and going down till you reach the x-coordinate of the point gives us -3, and going right 4 units to the location of the point.

7 0
3 years ago
Other questions:
  • Which expression has the same sum as the one below?
    14·2 answers
  • If y varies directly as x, and y = 36 as x = 9, find y for the x-value 5
    14·1 answer
  • Which of the following is equal to the rational expression when x does not equal 3 or -10? (x+5)(x-3)/(x-3)(x+10)
    13·1 answer
  • Order of operations 10-7(3+2)7^2
    13·2 answers
  • Is 300,998 greater or less than 300899
    5·2 answers
  • Common factor of 16a and 20ab
    5·2 answers
  • How do i find the slope of a line??
    15·2 answers
  • Use the distributive property to factor out y 5y - 3y + 12 the new expression becomes​
    11·1 answer
  • I need these two questions answered (50 points)
    15·2 answers
  • Using the number 12,532.628 what is the value of the 6?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!