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qaws [65]
3 years ago
10

A border to surround a picture is to be cut from a 10 1/2 in by 10 1/2 in mat board. If picture is 8 3/4 in by 8 3/4 in what is

the width of the board.
Mathematics
1 answer:
Lilit [14]3 years ago
3 0
Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:

10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches
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2 years ago
Calculate the area of the quarter circle estimate using 3.14 for pi
mars1129 [50]

The area of the quarter circle with radius 3ft is 7.065 ft^2

Area of a quarter circle is given by the formula:

Area = \frac{\pi r^2}{4}

Where r represents the radius of the circle

In the quarter circle shown, the radius, r = 3 feet

π  =  3.14

Substitute π = 3.14 and r = 3 into the formula Area = \frac{\pi r^2}{4}

Area = \frac{3.14 \times 3^2}{4}\\\\Area =   \frac{3.14 \times 9}{4}\\\\Area =  \frac{28.26}{4}\\\\Area = 7.065 ft^2

The area of the quarter circle with radius 3ft is 7.065 ft^2

Learn more here: brainly.com/question/25843249

6 0
2 years ago
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the dis
Arte-miy333 [17]
One way to go about this is to first list everything we know in the form of variables. This will make it easier to see how these numbers correlate instead of trying to remember formulas to plug these numbers into.

TimeA = 2.4h (time of Car A to travel)
TimeB = 4h (time of Car B to travel)
SpeedA = SpeedB + 22mph (Speed of Car A<span>)
</span>SpeedB = SpeedA - 22mph (Speed of Car B<span>)
</span>Distance = x (the distance traveled by each car)

We are looking for SpeedA. How can we find this? Well, we know that speed multiplied by time is equal to distance, so let's start there.

SpeedA * 2.4h = x
<span>(SpeedB + 22mph) * 2.4h = x
</span>(2.4h * SpeedB) + 52.8miles = x

We also know that:
SpeedB * 4h = x

Since both of these equations are equal to x, we can combine them:
SpeedB * 4h = x = <span>(2.4h * SpeedB) + 52.8miles
</span>SpeedB * 4h = <span>(2.4h * SpeedB) + 52.8miles
</span>1.6h * Speed B = 52.8miles
SpeedB = 52.8/1.6 mph = 33 mph

<span>SpeedA = SpeedB + 22mph = 33mph + 22mph = 55mph
</span>
Therefore, Car A was traveling at 55mph.
3 0
3 years ago
A public school in your city has 1710 girls among the 2970 students. What is the ratio of boys to girls in school
Minchanka [31]

Answer:

The simplest answer would just be 14:19

However the unsimplified answer is 1260:1710

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