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vfiekz [6]
2 years ago
13

Find the area of the sector formed by the 60 degree central angle.

Mathematics
1 answer:
Neko [114]2 years ago
3 0

The area of the sector of the circle is: A. 50/3π in.².

<h3>What is the Area of a Sector of a Circle?</h3>

The area of a sector that is bounded by two radii of a circle is calculated using the formula, ∅/360 × πr², where we have the following parameters:

  • r = radius of the circle
  • ∅ = central angle formed by the sector.

Thus, we are given the following regarding the sector of the circle:

Central angle (∅) = 60 degrees

Radius (r) = 10 inches.

Plug in the values into ∅/360 × πr²:

Area of sector = 60/360 × π(10²)

Area of sector = 1/6 × π(100)

Area of sector = 100/6 × π

Area of sector = 50/3 × π

Area of sector = 50/3π in.²

Thus, the area of the sector of the circle is: A. 50/3π in.².

Learn more about the area of sector on:

brainly.com/question/22972014

#SPJ1

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How do you find the slope using this table? I graphed it too but I can't understand it!
sammy [17]
M=Y2-Y1/X2-X1
M= 1250-1625/4-2.5
M=841.25
But I have no clue how you would graph that
5 0
3 years ago
One root of f(x) = x + 10x2 – 25x – 250 is x = -10. What are all the roots of the function? Use the Remainder Theorem.
Natalka [10]

Answer:

-10

-5

5

Step-by-step explanation:

From the answers given, you probably mean f(x) = x^3 + 10x2 – 25x – 250

The Remainder Theorem is going to take a bit to solve.

You have to try the factors of 250. One way to make your life a lot easier is to graph the equation. That will give you the roots.

The graph appears below. Since the y intercept is -250 the graph goes down quite a bit and if you show the y intercept then it will not be easy to see the roots.

However just to get the roots, the graph shows that

x = -10

x = - 5

x = 5

The last answer is the right one. To use the remainder theorem, you could show none of the answers will give 0s except the last one. For example, the second one will give

f((10) = 10^3 + 10*10^2 - 25*10 - 250

f(10) = 1000 + 1000 - 250 - 250

f(10) = 2000 - 500

f(10) = 1500 which is  not 0.

==================

f(1) = (1)^3 + 10*(1)^2 - 25(1) - 250

f(1) = 1 + 10 - 25 - 250

f(1) = -264 which again is not zero

3 0
3 years ago
Read 2 more answers
Brian works 4 hours on thursday and gets $95 in tips and 5 hours on friday and gets $178 in tips. If his total for 2 days is $32
MrRa [10]

Answer:

5.25

Step-by-step explanation:

5 0
3 years ago
Pia printed two maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second
Vlada [557]
Scale :

Map 1 : Actual
1 cm   :  2 km
1 cm   :  200 000 cm          | Convert 2km to 200 000cm

Answer: The scale is 1 : 200 000 

Map 1 : Actual
1 cm   :  200 000 cm 
(x8)    :   (x8)
8 cm :  1 600 000cm

1 600 000 cm = 16 km

Answer: The length of the actual trail is 16 km

Map 1 : Map 2
8cm   :   6cm
1cm    :    0.75 cm

Answer : The scale is 1 : 0.75

Map 1 : Map 2
1    :  0.075 

3mm : 0.075 x 3 = 0.225mm

4mm : 0.075 x 4 = 0.3 mm

5mm : 0.075 x 5 = 0.375 mm

Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm

3 0
3 years ago
What is the center of this circle? <br> What is the radius of this circle?
zimovet [89]

Answer:

The center of a circle is the point from which the circumference is equidistant

Step-by-step explanation:

Radius of a circle is a line drawn from the center of the circle to the circumference.

4 0
3 years ago
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