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alukav5142 [94]
3 years ago
13

A park is in the shape of a rectangle. The park authorities are planning to build a 2-meter-wide jogging path in the park (shown

as the shaded region in the image). What is the area of the jogging path?

Mathematics
1 answer:
Burka [1]3 years ago
5 0
First, we need to find the area of the two rectangles in this picture. We know that area = l*w.

So for the larger rectangle, we know the l = 100 m, and the w = 60 m. Let us find the area:

A=100*60=6000 m^{2}

So the larger rectangle area is 6000 m.

The smaller rectangle has dimensions that are 2 m less on every side. So we can recalculate these dimensions as l = 96 m and w = 56 m.

Let's find the area of the smaller rectangle:

A=96*56=5,376 m^{2}

So we know that the area of the smaller rectangle is 5,376 m.

The area of the jogging path is going to be the difference between these two rectangles. Let us solve:

6,000-5,376=624 m^{2}

So now we know that the area of the jogging path is 624 m^{2}.
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In which of the following ways are linear systems similar to quadratic systems? Select all that apply.
alex41 [277]

The <em>correct answers</em> are:


A) Both can be solved by graphing;

C) Both can be solved by substitution; and

D) Both have solutions at the points of intersection.


Explanation:


Just as a system of linear equations can be solved by graphing, a system of quadratic equations can as well. We graph both equations. We then look for the intersection points of the graphs; these intersection points will be the solutions to the system.


We can also solve the system by substitution. If we can get one variable isolated, we can substitute this into the other equation to solve.

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3 years ago
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Solve for n:<br> 6n − 2(4n + 7) + 4 = -2<br> A:-6<br> B:-4<br> C:4<br> D:6
almond37 [142]

Answer:

B

Step-by-step explanation:

6n - 2(4n + 7) + 4= -2 firstly you open the bracket

6n - 8n - 14 + 2 = -2 then you collect the like terms

6n - 8n= -2 + 14 - 4 then add and subtract and divide by the coefficient

-2n= 12 - 4

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n = -4

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3 years ago
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in an isosceles triangle two sides are equal. the third side is 2 less than twice the length of the sum of the two sides. the pe
egoroff_w [7]

Answer:

s for length of either equal side

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b=-2+2*(s+s) and 2s+b=40

b=2*2s-2

b=4s-2

2s+4s-2=40

6s-2=40

6s=42

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4 0
3 years ago
PLZ HELP ASAP. What is the measure of B?
KATRIN_1 [288]

Answer:

C. 55°

Step-by-step explanation:

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Note that m∠C is a right angle (as shown through the square), and that right angles = 90°

Subtract to find the measurement of the unknown angle (∠B)

∠B = 180 - (∠A + ∠C)

∠B = 180 - (35 + 90)

Simplify. Combine like terms. First, add (solve parenthesis), then subtract.

∠B = 180 - (125)

∠B = 55

m∠B = C. 55°

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3 years ago
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Katena32 [7]

5pi/12 radians

The arc measure is 75, so theta must also be the same. if theta is 75, and 75 in radians is 5pi/12 radians, then the answer is that.

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