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frosja888 [35]
3 years ago
12

Above are two different models of the same triangular-shaped garden. If the height of the model on the left is 14 cm, what is th

e height of the model on the right?

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
5 0

Please consider the attached graph.

We have been given that there are two different models of the same triangular-shaped garden. The height of the model on the left is 14 cm. We are asked to find the height of the model.

First of all, we will convert 14 cm into feet.

We can see that model on left side has a scale of 1 cm is equal to 15 feet.

14 cm = 14×15 feet = 210 feet.

We can see that model on the right side has a scale of 1 cm is equal to 7.5 feet.

Since both models represent same triangular-shaped garden, so the actual height for the both models will be same.

Now we need to convert actual height of 210 feet into inches using 2nd scale.

\text{210 ft}=210\text{ ft}\times \frac{1\text{ inch}}{\text{7.5 ft}}=\frac{210}{7.5}\text{ inch}=28\text{ inch}

Therefore, the height of the model on right is 28 inches.

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8 0
3 years ago
PLEASE HELP ME ITS DUE TOMORROW!! THANKS!
leonid [27]
PART A
Change the fractions into improper fractions
pablo - rosa = 4 4/9 - 3 5/12
pablo - rosa = 40/9 - 41/12

Equalize the denominator of the fractions
I equalize them to 36. If the denominator 9 is multiplied by 4, so is the numerator. If the denominator 12 is multiplied by 3, so is the numerator.
pablo - rosa = 40/9 - 41/12
pablo - rosa = (40 × 4)/(9 × 4) - (41 × 3)/(12 × 3)
pablo - rosa = 160/36 - 123/36
pablo - rosa = 37/36

Change it to mixed fraction
pablo - rosa = 37/36
pablo - rosa = 1 1/36

Pablo has 1 1/36 quarts more than Rosa

PART B
Calculate the iced tea Pablo gave to Rosa
Change into proper fraction/improper fraction
iced tea given = 15% × 4 4/9
iced tea given = 15/100 × 40/9
iced tea given = 600/900
iced tea given = 2/3

Calculate Pablo's iced tea after giving
Pablo's = 40/9 - 2/3
Pablo's = 40/9 - (2 × 3)/(3×3)
Pablo's = 40/9 - 6/9
Pablo's = 34/9
Pablo's = 3 7/9

Calculate Rosa's iced tea
Rosa's = 41/12 + 2/3
Rosa's = 41/12 + (2 × 4)/(3 × 4)
Rosa's = 41/12 + 8/12
Rosa's = 49/12
Rosa's = 4 1/12

Pablo has 3 7/9 quarts and Rosa has 4 1/12 quarts
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