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Firlakuza [10]
3 years ago
15

A drink coaster in the shape of a circle has

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

The diameter of the coaster is 5 cm.

Step-by-step explanation:

Given,

The area of the circle = 19.63 sq inch

To find the diameter, we need to find the radius

Formula

The area of a circle with radius(r) = πr^{2} sq cm

According to the problem,

πr^{2}  = 19.63

or, r^{2} = \frac{7 X 19.63}{22}

= 6.2459

or, r = \sqrt{6.2459} = 2.499 (approx)

= 2.5 cm

Hence the diameter of the circle  = 2 × 2.5 cm = 5 cm

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Step-by-step explanation:

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1/9 or 1/3 hope this helps!
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There are 8 volunteers during the weekday and only 5 volunteers on the
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Answer:

Monday is a weekday, with which there would be 8 volunteers.

In turn, Saturday is a weekend day, with which there would be 5 volunteers.

2 people will not be helped if the ratio of volunteers to the person needing help is 1:1.

Step-by-step explanation:

Given that there are 8 volunteers during the weekday and only 5 volunteers on the weekend, to determine how many volunteers do you have on Monday and Saturday the following logical reasoning must be carried out:

Monday is a weekday, with which there would be 8 volunteers.

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10: 8

1: 1

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6 0
3 years ago
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John ,Rick , and Molli are painting a room together. It takes all of them 16 hours to paint the room to perfection. It takes Joh
CaHeK987 [17]
John's hourly rate is 1/8 of the room per hour.
Rick's hourly rate is 1/2 of the room per hour.
Molli's hourly rate would be 3/8 of the room per hour.

It takes Molli 2 2/3 hours to paint the room alone.

Explanation
Since John paints the entire room (100%=1) in 8 hours, he would paint 1/8 of the room in 1 hour.
Since Rick paints the entire room (100%=1) in 2 hours, he would paint 1/2 of it in 2 hour.

We do not yet know Molli's rate, so we will call it x.

We know that 1/8+1/2+x = 1 hour.

We will use 8 as a common denominator:
1/8+4/8+8x/8 = 1

Adding the numerators, 
(1+4+8x)/8 = 1

Multiply both sides by 8:
1+4+8x = 8

Add like terms:
5+8x = 8

Subtract 5 from both sides:
5+8x-5=8-5
8x=3

Divide both sides by 8:
8x/8 = 3/8
x = 3/8

Molli's rate is 3/8.

Since she can paint 3/8 of the room in 1 hour, we can set up the equation
3/8x = 1

Divide both sides by 3/8:
3/8x ÷ 3/8 = 1 ÷ 3/8
x = 1/1 ÷ 3/8 = 1/1 × 8/3 = 8/3
x = 2 2/3

This is the amount of time it takes Molli to paint the entire room.
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3 years ago
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