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olga_2 [115]
3 years ago
9

A bakery offers a small circular cake with a diameter of 6 inches. It also offers a large circular cake with a diameter of 18 in

ches. Complete the explanation for wether the top of the large cake has three times the area that of the small cake.
The area of the top of the large cake is ____ pie in2 and that of the small cake is ______ pie in2. The top of the cake has an area equal to _____ times that of the small cake.
Mathematics
1 answer:
Ierofanga [76]3 years ago
6 0

Answer:

The area of the top of the large cake is 9 pie in2 and that of the small cake is 81 pie in2. The top of the cake has an area equal to 9 times that of the small cake.

Step-by-step explanation:

Area = πr^2

radius of small cake = 6/2 = 3 Inc

radius of large cake = 18/2 = 9Inc

Area of small cake = π3^2

= 9π

Area of large cake = π9^2

= 81π

Ratio = 81π/9π

= 9

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James knows that when he walks, he takes about 120
Tpy6a [65]

Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

19800feet=\frac{19800}{5280} miles=3.65miles

hence speed of James= (distance covered by james in 1 hour)/1 hour

speed of James=3.75 miles/hour.

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7 0
3 years ago
Read 2 more answers
The heights in inches, of some small trees for sale at a garden store are 62, 62, 59, 61, 59, 70, 59, and 62. What is the median
Nana76 [90]

Answer:

Step-by-step explanation:

the mean height, remember is the average

62+62+59+61+59+70+59+62=494/8=61.75

median is the middle value, so we will write the numbers in order

59,59,59,61,62,62,62,70

we have an even number so we add the middle numbers and divide by 2,

the median=61+62=123/2=61.50  

mode is the number that occurs most often : 62 and 59

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3 years ago
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6 0
4 years ago
Evaluate when w-k when w= -17 and k= -5
OLEGan [10]

How it's evaluated:


(1) w - k = -7 - -5

(2) -17 - -5= = -17 + (-15)

(3) -17 + (-15) = -2


First step is change W and K and change it into it's correct number.

Second step is change the subtraction sign to it's opposite.

Third step is subtract -17 and (-15) which would give you -2

3 0
4 years ago
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Otrada [13]

Answer

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Step-by-step explanation:

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7 0
3 years ago
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