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Naily [24]
3 years ago
14

A stained glass window is going to be installed in a semi-circular opening, which is above a 34 inch wide door. If the stained g

lass window costs $0.95 per square inch, how much will the window cost? Use 3.14 for π
as necessary.
A. $389.10
B. $1,724.17
C. $431.04
D. $494.55
Mathematics
1 answer:
Tasya [4]3 years ago
3 0

The area of a full circle would be Area = PI x r^2

The diameter would be the width of the dorr, so the radius would be half that. 34/2 = 17  inches.

Area for a full circle would be 3.14 x 17^2 = 907.46 square inches.

A semi circle is a half circle.

The area would be 907.46 / 2 = 453.73 square inches.

Multiply the area by the cost:

453.73 x 0.95 = 431.04

The answer is C.

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Novay_Z [31]

Answer:

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ange C = 180-110 = 70  

Step-by-step explanation:

7 0
3 years ago
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At an airport, it cost 7 to park for one hour and 5 per hour for each additional hour.Let x represent the number hours parked.wr
kompoz [17]
The cost of parking is an initial cost plus an hourly cost.
The first hour costs $7.
You need a function for the cost of more than 1 hour,
meaning 2, 3, 4, etc. hours.
Each hour after the first hour costs $5.

1 hour: $7
2 hours: $7 + $5                  = 7 + 5 * 1          = 12
3 hours: $7 + $5 + $5          = 7 + 5 * 2          = 17
4 hours: $7 + $5 + $5 + $5  = 7 + 5 * 3          = 22

Notice the pattern above in the middle column.
The number of $5 charges you add is one less than the number of hours.
For 2 hours, you only add one $5 charge.
For 3 hours, you add two $5 charges.

Since the number of hours is x, according to the problem, 1 hour less than the number of hours is x - 1.

The fixed charge is the $7 for the first hour.
Each additional hour is $5, so you multiply 1 less than the number of hours,
x - 1, by 5 and add to 7.

C(x) = 7 + 5(x - 1)

This can be left as it is, or it can be simplified as

C(x) = 7 + 5x - 5

C(x) = 5x + 2

Answer: C(x) = 5x + 2

Check:
For 2 hours: C(2) = 5(2) + 2 = 10 + 2 = 12
For 3 hours: C(3) = 5(3) + 2 = 15 + 2 = 17
For 4 hours: C(3) = 5(4) + 2 = 20 + 2 = 22
Notice that the totals for 2, 3, 4 hours here
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6 0
4 years ago
Plz help I don't under stand how to measure
topjm [15]
The polygon is a hexagon with 6 sides. The sum of the interior angles= 360. Divide 360 by 6 to get 60. The measure of angle x=60. I hope this helps you!
8 0
3 years ago
3. List the angles of the triangle in order from smallest to largest.
Veseljchak [2.6K]

Answer:

The list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

i.e (A,C,B)

Step-by-step explanation:

We know that in a triangle the greater angle has the longer side opposite to it.

From the given triangle,

Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.

Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.

Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.

Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B

Hence, option 'e' is true.

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6 0
3 years ago
Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project.in feet how much board was left?
guapka [62]

\frac{5}{8} \text{ feet board is left }

<em><u>Solution:</u></em>

Given that, Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project

To find: Board that was left

From given,

\text{Total length of board } =\frac{7}{8} \text{ feet }

\text{Foot that was cut off } = \frac{1}{4} \text{ feet }

Remaining feet of board is found by finding the difference between total length of board and foot that was cut off

\text{Reamining board } = \text{Total length of board - feet of board that was cut off}\\

Substituting the values we get,

\text{Remaining board } = \frac{7}{8} - \frac{1}{4}\\\\\text{Remaining board } =\frac{7}{8} - \frac{1 \times 2}{4 \times 2}\\\\\text{Remaining board } =\frac{7}{8} -\frac{2}{8} = \frac{7-2}{8}\\\\\text{Remaining board } =\frac{5}{8}

Thus \frac{5}{8} feet board is left

5 0
3 years ago
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