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Inessa05 [86]
3 years ago
15

Michael is making scale drawings of rectangular rooms using a scale of 1 inch: 11/5 feet. He wants to use paper that has a width

of 8 1/2 inches and a length of 11 inches for the drawings. Determine whether the scale drawings for each of these rooms will fit on one piece of paper.
Choose Yes or No for each set of dimensions.

a. 16 feet by 16 feet Yes/ No
b. 10 feet by 15 feet Yes/ No
c. 15 feet by 20 feet Yes/ No
d. 12 feet by 16 feet Yes/ No
Mathematics
2 answers:
OLga [1]3 years ago
4 0

Answer:

a) Yes

b) Yes

c) Yes

d) Yes

Step-by-step explanation:

8½ inches --> 17/2 × 11/5 = 18.7 feet

11 inches --> 11 × 11/5 = 24.2 feet

a. 16 feet by 16 feet Yes

b. 10 feet by 15 feet Yes

c. 15 feet by 20 feet Yes

d. 12 feet by 16 feet Yes

hjlf3 years ago
3 0

Answer:

all will fit

Step-by-step explanation:

We can use ratios to solve

Changing 11/5 into a decimal

1 inch              x

-------------- = -----------

2.2 ft            16 ft

Using cross products

16 = 2.2 x

Divide each side by 2.2

16/2.2 = x

7.2727 =x  Since this is less than 8.5 inches   Yes

1 inch              x

-------------- = -----------

2.2 ft            15 ft

Using cross products

15 = 2.2x

Dividing each side by 2.2

6.8 =x

Yes

1 inch              x

-------------- = -----------

2.2 ft            20 ft

Using cross products

20 = 2.2x

9.09 =x

If this is the 11.5 inch side   (15 ft   is  6.8 inches which is less than 8.5 inches)

yes

1 inch              x

-------------- = -----------

2.2 ft            12 ft

12 = 2.2x

5.4 inches  yes since 16 is 6.8 inches

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lyudmila [28]

Answer:

Height = 20 ; Base = 5

Step-by-step explanation:

Triangle Area = Base x Height x 1/2

50 = 1x × 4x × 1/2

50 = 4x^2 × 1/2

50 = 2x^2

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Height equals to 4x -> 4 × 5 = 20

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4 0
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Name:
Effectus [21]

Answer:

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Step-by-step explanation:

8050 < abcd < 8500

We must have a = 8, so the number is 8bcd.

The value of a is 20 times the value of b, or a= 2b.

a = 8, so b = 4.

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b = 4, so c = 2.

The value of c is 20 times the value of d, or c = 2d.

c = 2, so d = 1.

The secret number is 8421.

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Read 2 more answers
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