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faust18 [17]
3 years ago
9

The diagram shows a sector of a circle radius 11 cm.

Mathematics
1 answer:
nadya68 [22]3 years ago
4 0

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

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The Coffee Counter charges ​$8 per pound for Kenyan French Roast coffee and ​$7 per pound for Sumatran coffee.
spayn [35]

Answer:

Kenyan French Roast coffee x=6

Sumatran coffee y=14

Step-by-step explanation:

x+y=20     blend coffee

8x+7y=7.3(20)     selling price

x+y=20 ⇒ x=20-y

substitute in the equation:

8x+7y=7.3(20)

8(20-y)+7y=7.3(20) for 20 pound blend

160-8y+7y=146

-y=146-160

y=14 pond

x+y=20

x=20-14=6

check : 14*7+6(8)=146/7.3=20 pound

4 0
4 years ago
Evaluate 2x-5x+ 12<br> when x = -2
vodka [1.7K]

Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
There are 150 oranges, apples and pears in a box. The ratio of the number of oranges to the number of apples is 3:5 and the rati
Rom4ik [11]

Answer:

  Pears:  30

Step-by-step explanation:

Constant:

  3x + 5x + 2x = 150

                 10x = 150

                    x = 15  

Multiply ratio with constant from above:

  oranges : apples

       3 * 15 : 5 * 15

            45 : 75       ==>               45 oranges: 75 apples

  pears : apples

   2 * 15 : 5 * 15

        30 : 75          ==>                    30 pears: 75 apples

Check:

45 oranges + 75 apples + 30 pears = 150 fruits

4 0
3 years ago
What is the length of the side of a right triangle that has a side length of 7 cm and a hypotenuse that measures 25 cm?
Elenna [48]
It would be: 25² = 7² + b²
b² = 625 - 49
b = √576
b = 24

In short, Your Answer would be Option B

Hope this helps!
7 0
3 years ago
The amount of carbon 14 remaining in a sample that originally contained A grams is given by C(t) = A(0.999879)t where t is time
Nadya [2.5K]

the answer would be 63000 i hope this helps

8 0
3 years ago
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