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rodikova [14]
3 years ago
6

An artist sculpted a scale model of a giraffe for the zoo gift shop. The artist used the scale 1 inch: 4 feet to create the scal

e model giraffe. The actual giraffe at the zoo is 20 feet tall.
How tall is the scale model giraffe in inches?

Enter your answer in the box.
inches
Mathematics
1 answer:
iogann1982 [59]3 years ago
5 0

Answer:

The scale model giraffe is 5 inches tall.

Step-by-step explanation:

Since the artist sculpted the figure of the giraffe with a scale of 1 inch = 4 feet, and that the real giraffe that lives in the zoo is about 20 feet, to determine the size of the sculpted giraffe to scale it is necessary to perform the following calculation:

20/4 = X

5 = X

Thus, the scale sculpted giraffe that will be sold in the gift shop measures 5 inches.

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A Line Segment has the points (1,-2), and (3,-2). What are the new points after its dilated by a scale factor of 3/2 or 1.5
jeka57 [31]

Answer:

The new points after dilation are

(3/2, -3) and (9/2,-3)

Step-by-step explanation:

Here in this question, we want to give the new points of the line segment after it is dilated by a particular scale factor.

What is needed to be done here is to multiply the coordinates of the given line segment by the given scale factor.

Let’s call the positions on the line segment A and B.

Thus we have;

A = (1,-2) and B = (3,-2)

So by dilation, we multiply each of the specific data points by the scale factor and so we have;

A’ = (3/2, -3) and B’= (9/2,-3)

5 0
3 years ago
The equation of a circle is given below. (x-0.5)^{2}+(y-3.5)^{2} = 16(x−0.5) 2 +(y−3.5) 2 =16left parenthesis, x, minus, 0, poin
Mashutka [201]

Answer:

<h2>The radius is 4 units long.</h2>

Step-by-step explanation:

The given equation is

(x-0.5)^{2} +(y-3.5)^{2} =16

This equation belongs to a circle, which center is at (0.5, 3.5) and its radius is 4.

You can deduct its elements, becase this equation of the circle is explicit, which means the constant term represents the square power of the radius. Solving that, we have

r^{2} = 16\\r=\sqrt{16}\\ r=4

Therefore, the radius is 4 units long.

3 0
3 years ago
A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and
Naya [18.7K]
<h2>The number of small buses used = 5</h2><h2>The number of big buses used  = 4</h2>

Step-by-step explanation:

Let us assume the total number of small buses needed = x

The capacity of 1 small bus  = 40

So, the capacity of x buses  = 40(x)  = 40 x

Let us assume the total number of big buses needed = y

The capacity of 1 big bus  = 50

So, the capacity of y buses  = 50(y)  = 50 y

Also, the total students travelling = 400

So, the number of students traveling by (Small bus + Big bus)  = 400

⇒ 40 x + 50 y = 400 ..... (1)

Also, the total number of drivers available  = 9

⇒ x +  y = 9  ..... (2)

Also, x  ≤ 8,   y ≤ 10

Now, solving both equations, we get:

40 x + 50 y = 400 ..... (1)

x +  y = 9  ⇒ y = (9-x) put in (1)

40 x + 50 y = 400  ⇒  40 x  + 50 (9-x)  = 400

or, 40 x  + 450 - 50 x  = 400

or, - 10 x  =- 50

or, x  = 5 ⇒ y = (9-x)  = 9- 5 = 4

Hence the number of small buses used = 5

The number of big buses used  = 4

8 0
4 years ago
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