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nevsk [136]
3 years ago
15

What is the area of a sector when r = 3 and 0 = 2.75 radians?

Mathematics
1 answer:
Ivahew [28]3 years ago
6 0

Area of circle: A=pi×r². This area coresponds to 360degrees, or 2×pi radians.

2×pi ....... pi×r²

t radians....x

where t=2.75rads

Area of t: x=pi×r²×t/2/pi=r²×t/2

Area of t: 3²×2.75/2=9×2.75/2=12.375

Answer: the area of 2.75 radians is 12.375

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Jay had 6 times as much money as Kay. Then Jay gave Kay $33. Jay now has twice as much money as Kay. How much did they each star
timofeeve [1]

Answer:

Jay started with $148.5 and Kay with $24.75.

Step-by-step explanation:

With the information provided you know that Jay had 6 times as much money as Kay wich can be expressed as:

J=6K, where

J is the money Jay had

K is the money Kay had

Also, you know that  Jay gave Kay $33 and Jay now has twice as much money as Kay, which would be:

J-33=2(K+33)

Now, you can replace J=6K in this equation and solve for K:

6K-33=2K+66

6K-2K=66+33

4K=66

K=24.75

Then, you can replace the value of K in J=6K:

J=6*24.75

J=148.5

According to this, the answer is that Jay started with $148.5 and Kay with $24.75.

7 0
2 years ago
The sum of two numbers is 12 The sum of the squares of the two numbers is 80. What are the two numbers?
defon

Answer:

4 and 8

Step-by-step explanation:

The square of 4 is 16 and the square of 8 is 64.

16 + 64 = 80

4 0
3 years ago
The graph shows Ms. Padilla's monthly cell phone cost, where x is the number of minutes she uses the phone during the month.
balu736 [363]

Answer: the X intercept mean this here

Ms.

Padilla is charged $0.04/min.

Ms. Padilla pays $16 for months she makes 0 min of calls

Step-by-step explanation:

7 0
1 year ago
The length of a rectangle is 7 centimeters greater than the width.
Lisa [10]

Answer:

length = 17cm, width = 10cm

Step-by-step explanation:

2L + 2w = 54

L = w + 7

Substitute:

2(w + 7) + 2w = 54

2w + 14 + 2w = 54

4w = 40

w = 10

L = 10 + 7 = 17

7 0
3 years ago
If D is the midpoint of the segment AC and C is the midpoint of segment DB , what is the length of the segment AB , if AC = 3 cm
Juliette [100K]
<span>A midpoint divides a line or a segment into two equal parts. If D is the midpoint of the segment AC and C is the midpoint of segment DB, what is the length of the segment AB, if AC = 3 cm.</span>

 

If D is the midpoint of AC, then AD=DC

If C is the midpoint of DB, then DC=CB

If AC=3cm. then then DC-3/2=1.5

If DC=1.5 then CB is 1.5 also

AB=AC+CB

AB=3+1.5

AB=4.5

5 0
3 years ago
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