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Ghella [55]
3 years ago
10

Michael arranged his pennies in the following display what is the answer

Mathematics
1 answer:
Vinil7 [7]3 years ago
4 0
You did not show the display im so sorry :(
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Po The diameter of a circular fountain in a city park is 28 feet. A sidewalk that is 3.5 feet will be built around the fountain.
jarptica [38.1K]

Answer:

Area of sidewalk = 346.5 ft^2

Bags of concrete = 277

Step-by-step explanation:

The diameter of the circular fountain is 28 ft. Radius = 28 / 2 = 14 ft

The thickness of the sidewalk is 3.5 ft. This means they want to add 3.5 ft to each radius of the fountain.

To find the area of the sidewalk alone, we have to find the area of the sidewalk alone and then subtract it from the area of the sidewalk and fountain.

That is:

A_s = A_{s+f} - A_f

The fountain is circular and its radius is 14 ft. Hence, its area will be:

A_f = \pi r^2

A_f = \pi *14^2 = 616 ft^2

The sidewalk and fountain together also form a circular shape. Their joint radius will be:

R = 14 + 3.5 = 17.5 ft

Hence, the area will be:

A_{s + f} = \pi R^2 \\A_{s + f} = \pi * 17.5 * 17.5 = 962.5 ft^2

Hence, the area of the sidewalk alone will be:

A_s = 962.5 - 616 = 346.5 ft^2

This is the area of the sidewalk.

For every square foot (ft^2), 0.8 bag of concrete will be used. This means that for 346.5 ft^2:

Bags of concrete = 0.8 * 346.5 = 277.2 ≅ 277

At least 277 bags of concrete will be used for the new sidewalk.

5 0
4 years ago
A jewelry store has 9/10 of an ounce of gold. They need to split it into 1/6 ounce groups. How many groups can they make?
lesya [120]

the amount of gold present is - 9/10 of an ounce of gold

from this gold they have to split into groups of 1/6 ounce each

so we have to divide 9/10 ounce in to groups of 1/6

for this we have to divide 9/10 by 1/6

\frac{9}{10} / \frac{1}{6}

when dividing fractions we mutiply the first fraction by the reciprocal of the second fraction

reciprocal of 1/6 is - 6/1

\frac{9}{10}*\frac{6}{1} = \frac{54}{10} = 5.4


so the number of groups that can be made is 5 whole groups with 0.4 ounce of gold remaining

the whole number of groups that can be made - 5

5 0
4 years ago
Read 2 more answers
Is the equation minumum or maximum
amid [387]

Answer:

Minimum

Step-by-step explanation:

A minimum occurs when the line goes from decreasing to increasing

8 0
2 years ago
Read 2 more answers
WILL GIVE BRAINLIST ive seen this problem so many times and I've tried my best to solve it but I really need some help here
allsm [11]

Answer:

Let O be the center of the circle.

<COA = 90*

<FOE = <AOB = 146*

Considering that a circle is 360* we have <BOC = 124*

The Arc ABC is <AOB + <BOC = 124 + 90 =214*.

8 0
4 years ago
Read 2 more answers
In February, Paul's electric bill was three dollars more than one-half his gas bill. If the electric bill was ninety-two dollars
Lostsunrise [7]
Let us assume the gas bill of Paul in February = x dollars
Then
Electric bill of Paul for the month of February = (x/2) + 3
Amount of Electricity bill of Paul for the month of February = $92
then we can write the equation as
(x/2) + 3 = 92
x/2 = 92 - 3
x/2 = 89
x = 89 * 2
   = 178 dollars
So the gas bill of Paul in February is $178. I hope this is the answer you were looking for.
3 0
3 years ago
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