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Snezhnost [94]
3 years ago
5

Dana buys a plot of land that is 30 yards by 50 yards to build a new house. Dana’s blueprint for the new house shows that the ho

use will cover 900 square yards of land. What percent of Dana’s lot will ​not​ be covered by the house?
Mathematics
1 answer:
maks197457 [2]3 years ago
7 0

Answer:

Solution: Convert the lot dimensions to feet

35 yards ×3 feet1 yard=105 feet

50 yards ×3 feet1 yard=150 feet

So the area of the entire lot is 105 feet×150 feet=15,750 square feet.

Therefore the percent of the lot NOT covered by Dana's house will be

15,750−160015,750≈0.898≈90%.

Solution: Convert the house area to square yards

Step-by-step explanation:

1 yard=3 feet,

so

1 square yard=3 feet×3 feet=9 square feet.

Therefore, Dana's house covers

1600 square feet×1 square yard9 square feet≈177.8 square yards.

On the other hand, Dana's lot is 35 yards×50 yards=1,750 yards.

The percentage of Dana's lot NOT covered by her house is:

1,750−177.81,750≈0.898≈90%

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or something like that

7 0
3 years ago
Need Help!!! ASAP
RoseWind [281]

Answer:

P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}

P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}

P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}

Step-by-step explanation:

The given probabilities are:

P(red)=\frac{2}{7}

P(blue)=\frac{3}{14}

Their sum is P(red)+P(blue)=\frac{2}{7}+\frac{3}{14}

The probabilities that will complete the model should add up to \frac{1}{2} so that the sum of all probabilities is 1.

P(green)+P(yellow)=\frac{2}{7}+\frac{2}{7}\ne\frac{1}{2}

P(green)+P(yellow)=\frac{3}{8}+\frac{1}{8}=\frac{1}{2}

P(green)+P(yellow)=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}

P(green)+P(yellow)=\frac{5}{21}+\frac{11}{21}\ne\frac{1}{2}

P(green)+P(yellow)=\frac{3}{7}+\frac{1}{14}=\frac{1}{2}

5 0
3 years ago
A 20 ft ladder leans against a building and reaches a point 13 ft above the ground. Find, to the nearest degree, the angle that
Snezhnost [94]
Since it forms a "right triangle" we can apply trigonometry.
sin x = oppo/hyp
sin x = 13/20
x = sin^-1(13/20)
x = sin^-1(0.65)
x = 40.5
rounded to nearest degree
x = 41 degrees


Hope this helps! :)
4 0
3 years ago
Mr. Aba builds a circular patio with a diameter of 12 feet. He covers the patio with paving stones. The cost of the paving stone
Anettt [7]

Answer:

395.85

Step-by-step explanation:

If the diameter is 12, then the radius must be 6. Following the formula of pi: 2 * pi * radius, our result is 37.7. 37.7 * 10.50 is 395.85

I really hope this helps. My memory of circles and pi isn't the best.

8 0
2 years ago
Read 2 more answers
ASAP PLS I HHAVE SCHOOL TOMORROW :((
tatyana61 [14]

Answer:

it divides by five

Step-by-step explanation:

500/5=100

100/5=20

20/5=4

4/5=0.8!

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8 0
3 years ago
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