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Alexandra [31]
3 years ago
7

Calculate the area of the UNSHADED sector

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
Area of circle = pi*radius^2 = pi*6^2 = pi*36
Unshaded area : circle area ratio = (360-100) : 360 = 260 : 360 = 13 : 18
Area of shaded region = pi*36*(13/18) = about 81.68
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5 donuts and 2 cups of hot Chocolate costs 24$. 2 donuts and 3 cups of hot chocolate costs 14$.How much does each donut and each
Allushta [10]

Answer:cost of each donut =$4

and cost of each cup of hot chocolate =$2

Step-by-step explanation:

Step 1

Let donuts be represented as d

and cups of hot chocolate be rep as c so that

5 donuts and 2 cups of hot Chocolate costing 24$ will be expressed as

5 d+ 2 c= 24

And 2 donuts and 3 cups of hot chocolate costing  14$ will be expressed as

2d +3 c= 14

Step 2

Using elimination method,Multiply equation 1 by 3 and equation 2 by 2

15d+ 6c= 72----equation 3

4d+ 6c= 28-----equation 4

Subtracting equation 4 from equation 3 gives us

11 d=44

d= 44/11

d= 4

To find c, using equation 1

5 d+ 2 c= 24

5 x 4+ 2c=24

20+2c=24

2c=24-20

2c=4

c=4/2 =2

cost of each donut =$4

and cost of each cup of hot chocolate =$2

3 0
4 years ago
The length of a rectangle is 11cm more than the width. The perimeter is 90cm. Find the length and width of the rectangle.
nadya68 [22]

Answer:

Length=22.5cm, Breadth=11.5cm

Step-by-step explanation:

Let length be l and width be w.

w+22=l

w+w+w+22+w+22=90

4w=90-22-22

    =46

w=46 divided by 4

  =11.5

l=11.5+11

=22.5

Hence,

Length of rectangle=22.5cm

Breadth of rectangle=11.5cm

3 0
3 years ago
What is 6×2 49÷7 +5=
Helga [31]
(6 x 2)( 49/7) + 5 = 
(12)(7) + 5 = 
84 + 5 = 
89


89 is your answer

hope this helps
7 0
3 years ago
Read 2 more answers
What is the area of the triangle? 13 10 12 units​
Minchanka [31]

Answer:

I don't really know so sorry about that.

Step-by-step explanation:

3 0
3 years ago
Ron is five years older than twice his cousins Pat's age. The sum of their ages is less than 35. What is the minimum age Pat can
Akimi4 [234]
R = 2p + 5
r + p < 35

2p + 5 + p < 35
3p + 5 < 35
3p < 35 - 5
3p < 30
p < 30/3
p < 10.....Pat has to be less then 10


minimum age : 7
maximum age : 9


8 0
4 years ago
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