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denis-greek [22]
3 years ago
15

1. Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the scale 1 inch:2 fee

t.
(a) What is the length of the garden in her model? Show your work, including your proportion.
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

<em>(a) 3 inches </em>

<em>(b) Her scale model drawing WILL fit on the piece of paper 8.5 by 7 inches</em>

Step-by-step explanation:

<u>Scaling </u>

We use scales to represent realities in reduced spaces. In the case of lengths or surfaces, the scale allows us to draw the shapes in normal sheets of paper.  

(a)

Kelly's rock garden has a length of 6 feet. She uses a 1 inch:2 feet scale. this means that the model length is

6 feet*1 inch/2 feet = 3 inches

(b)

The width of the model is 5 inches, keeping the same scale it means the real length is

5 inches * 2 feet / 1 inch = 10 feet

The model will have 3 inches by 5 inches, it perfectly fits on any regular piece of paper

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Anna007 [38]

Answer:

a) False b) False c) True d) True e) True

Step-by-step explanation:

a) If A is a subset of B, and x∈B, then x∈A. False

Suppose A is Z (Set of Integers), and B is R (Set of Real Numbers). Then A is a subset of B. x ∈ B, let's say x equals π. If x ∈ B (B = Real Numbers) and x=π then x ∉ A (Z).

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For this one, I've drawn some lines, and it is useful to work with them.

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7 0
3 years ago
you have a piece of wood that is 72 inches long u cut the wood into three pieces the second piece is 6 inches longer than the fi
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Let

x---------> the length of the first piece

y---------> the length of the second piece

z---------> the length of the third piece

we know that

x+y+z=72 -------> equation 1

y=x+6 -----> solve for x

x=y-6 -------> equation 2

z=6+y -------> equation 3

substitute equation 2 and equation 3 in equation 1

[y-6]+y+[6+y]=72

3y=72

y=(72/3)=24 in

<u>Find the value of x</u>

x=y-6 -------> equation 2

x=24-6=18 in

<u>Find the value of z</u>

z=6+y -------> equation 3

z=6+24=30 in

therefore

<u>the answer is</u>

the length of the first piece is 18 in

the length of the second piece 24 in

the length of the third piece is 30 in

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Answer:

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Convert  √ 80  to a decimal.

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