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3241004551 [841]
3 years ago
15

You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you

get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
4 0

Answer:

3.5355 inches

Step-by-step explanation:

Area should be same the concentric circle and rest piece .

let's consider the radius of concentric circle as r

so it's area is π r²

area of whole circle is π (5)" ( because diameter is 10 inches)

so the area of rest piece is π (5)² - π r²

π (5)² - π r² = π r²

5² = 2r²

r² = 25/2

r = √(25/2)

r = 3.5355 inches

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These prisms are similar. find the volume of the larger prism in decimal form. a=5 v=300 a=6 v=[?]
zepelin [54]

Answer:

Step-by-step explanation:

When we divide congruent sides of similar solids or plane figures we get the linear scale factor.

The square of the linear scale factor gives the area scale factor while it's cube gives the volume scale factor.

In this question, the linear scale factor will be 6/5

since we are asked to find the volume we cube the linear scale factor.

 (6/5)³=216/125

to get the volume of the larger prism we multiply the volume of the smaller by the V.S.L as shown

(216/125)×300in³= 518.4in³

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3 years ago
Charlie just bought 8 bags of 14 cookies each. He already had 9 cookies in a jar. How many cookies does Charlie have now?
lana [24]

Answer:

he has 121 cookies now

Step-by-step explanation:

8 times 14 plus 9

8 times 14 = 112 + 9 = 121

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Whoever can answer this will get brainlyest
azamat

Answer:

The proportion is \frac{35}{108} = \frac{x}{84}, and the length of the unknown side is \frac{245}{9} or 27.22 approximately rounded to the nearest hundredth.

Step-by-step explanation:

Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is \frac{35}{108}. MK and KF are corresponding sides, and their proportion is \frac{x}{84} in which x represents the missing side. The proportions are equal, so \frac{35}{108} = \frac{x}{84}. Multiply both sides by 84 to isolate the variable, and you'll get x = \frac{35*84}{108}, which is \frac{2940}{108} or \frac{245}{9}.

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I'm sorry for been so late.

Rational Numebers:  a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.  For example: 1,2,3,-1,-2,-3

Irrational Numbers: an irrational number is a real number that cannot be expressed as a ratio of integers.  For example: 1/3, 1/7 , 1/9

Real Numbers: a real number is a value that represents a quantity along a continuous line. For example: all rational and irrational numbers.

Whole Numbers: A member of the set of positive integers and zero. A positive integer. An integer.  For example: 142, 20, 1

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