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lora16 [44]
3 years ago
11

Please solve and explain your answer

Mathematics
1 answer:
zubka84 [21]3 years ago
7 0

I think this is right. you can ask your teacher about second one.

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Kelly has a rock garden with a length of 6 feet. She constructs a scale model of the rock garden using the
Annette [7]

Answer:

  • (a) 3 inches

  • (b)  Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.

Explanation:

(a) What is the length of the garden in her model? Show your work, including your proportion

<u>1. Scale</u>:

  • model length / real length = 1 inch / 2 feet

<u>2. Proportion</u>:

Naming x the model length:

  • 1 inch / 2 feet = x / 6 feet

Cross multiply:

  • 1 inch × 6 feet = 2 feet × x

Divide both sides by x:

  • x = 1 inch × 6 feet / 2 feet = 3 inch.

Answer: 3 inches

(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?​

Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.

In the model the ratio of the length to the width is 3 inch / 5 inch

In the paper the ratio of the length to the width is 8.5 inch / 7 inch

Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.

8 0
3 years ago
5 less than the product of 8 and a number
zheka24 [161]
N-the number

the product of 8 and the number: 8 × n = 8n

5 less than the 8n: <u>8n - 5</u>
4 0
3 years ago
Read 2 more answers
If a shape has 4 right angles, then it is a rectangle.
almond37 [142]

a rectangle has two even size the other two even sides a square has four even sides and square is a rectangle but a rectangle isn't a square

3 0
3 years ago
Read 2 more answers
Work out the circumference of this circle.
Ksenya-84 [330]
Formula for circumference of circle:
C=2πr
here radius, r=4 cm and π=3.142
Put values in formula.
C=2(3.142)(4)
C=25.1 cm (Rounded to 1 decimal place)

Answer: Circumference of the circle is 25.1 cm (Rounded to 1 decimal place)
6 0
3 years ago
The graph of a non-invertible function passes through the points (- 1, 2), (0, 6) and (3, - 4) How is the inverse of this functi
KATRIN_1 [288]

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

8 0
3 years ago
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