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Olin [163]
3 years ago
10

City planners are creating a 3-dimensional model of a city park to find the best placement for a new tennis court. The city park

is on a rectangular plot of land that is 1,500 ft long and 600 ft wide. The scale model of the park measures 7.5 ft x 3 ft. If the dimensions of the actual tennis court must be 120 ft long and 60 ft wide, what are the dimensions of the tennis court in the scale model?
Mathematics
1 answer:
inn [45]3 years ago
8 0
First, divide the original measurements with the scaled ones. You'll get the same answer meaning that is the scale used by the model.
1500 ft. ÷7.5 ft = 200
600 ft. ÷ 3 ft. = 200
 
To simply check, if you divide 1500 with 200, the answer is 7.5 and 600 divided by 200 is 3.
To find the  scaled dimension of the tennis court with actual dimension of 120 ft by 60 ft, divide both values with the scale used in the model which is 200.

120 ft. ÷ 200 = 0.6 ft
60 ft. ÷ 200 =  0.3 ft

The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft. wide.

You might be interested in
the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
2 years ago
Read 2 more answers
This is the answer right?
dalvyx [7]
No, the question is stating the product of a number (the variable n represents the number) and 10 is 142. In other words, 10 times another number is 142. Hence, the answer would be A.
5 0
3 years ago
What rule would you allow to test weather (x,y) is on line l
n200080 [17]

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

m = \frac{y_2-y_1}{x_2-x_1}

m = \frac{10-5}{8-4}

m = \frac{5}{4}

Equation of the line passing through C(4, 5) and slope m = \frac{5}{4}

y - y' = m(x - x')

y - 5 = \frac{5}{4}(x-4)

y = \frac{5}{4}x-5+5

y = \frac{5}{4}x

If point B(4, 0) lies on the line CD,

0 = \frac{5}{4}(4)

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

8 0
3 years ago
Describe the net for a square pyramid with a base with edges of 6 inches and slant height of 4 inches. Calculate the surface are
motikmotik

The square pyramid with a base with edges of 6 inches and slant height of 4 inches have a surface area of 84 in².

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

The square pyramid with a base with edges of 6 inches and slant height of 4 inches. Hence:

Surface area = (6 * 6) + 2(6 * 4) = 84 in²

The net of the square pyramid have a base of 6 inches and the height of each triangle is 4 inches.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

7 0
2 years ago
Helppppppppppppppppppppp!
In-s [12.5K]

Answer:

1:3

Step-by-step explanation:

Since your scaling down you divide the smaller number by the larger number

7/21=1/3

=1:3

Hope this helps :)

5 0
2 years ago
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