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deff fn [24]
3 years ago
7

Leslie and Daniel plan to put an above-ground pool in the backyard of their new home. The backyard is rectangular, 30 feet by 50

feet, and the pool is circular, 24 feet in diameter and 4 1/3
feet tall.
Leslie and Daniel plan to plant grass in the rest of the yard. How much of the backyard, in square feet, is not covered by the pool? (Use 3.14 for π.)
Mathematics
1 answer:
Brut [27]3 years ago
4 0
1047.84ft² is not covered by the pool.
Find the area of the yard covered by pull using the area of a circle formula (the height is irrelevant in this case). If the diameter of the pool is 24 feet, its radius is 12 (half of the diameter)

A = 3.14r^2
A =3.14(144)
A = 452.16 ft²

Subtract the area of the pool from the area of the yard to get the area of the yard that is not covered by the pool. If the dimensions of the yard are 30ft by 50ft, you multiply them to get the area: 1500ft²

Total yard area: 1,500ft²
Area of yard without pool: 1,500ft² - 452.16ft² = 1047.84ft²
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The triangle ABC is dilated with respect to the point O(8, -3) and the scale factor 3 to a new triangle A'B'C'. What is the slop
Aleks [24]
The slope of the line segment A'C' is 1/7.
6 0
3 years ago
This scatter plot shows the number of baskets made and the time in minutes that has passed.
irina1246 [14]

Scatter plots are used to relate variables using scattered dots.

The best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

From the graph, we can see that the number of baskets made in 14 minutes is 12.

Also, from the graph; as the minutes increases, the number of baskets either remain the same or increases.

This means that, for 16 minutes, the number of baskets would either be 12 (same as 14 minutes) or greater.

The closest to 12 baskets in the option is 14.

Hence, the best prediction for the number of baskets made in 16 minutes is (c) 14 baskets

Read more about scatter plots at:

brainly.com/question/6592115

4 0
2 years ago
Find the value of x in the given statement. The diagram is not to scale.
Evgen [1.6K]
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


3 0
3 years ago
Factor each polynomial completely over the set of complex numbers.
S_A_V [24]

Answer:

1. a(x) = (x-4) (x-1) (2x+1) (x+3)


2. b(x) = (x^2-2) (x-5) (x+3)


3. c(x) = (2x-1) (x^2- 2x + 5)


3 0
3 years ago
A designer wants to create an apartment in the shape of a right triangle as his new design. If he has three partitions that are
ella [17]

No, he can not do it

Step-by-step explanation:

To prove that the the given three sides can form a right triangle:

  1. Square the three sides
  2. Add the squares of the smaller two sides
  3. If the sum is equal to the square of the largest side, then the three given sides can form a right triangle
  4. If the sum is not equal to the square of the largest side, then the three given sides can not form a right triangle

∵ The designer has three partitions that are 14 , 9 and 20 feet

- Square the length of each partition

∵ 9² = 81

∵ 14² = 196

∵ 20² = 400

- Add the squares of the two smaller partitions 9 and 14

∵ 81 + 196 = 277

∵ The square of the largest partition = 400

∵ 277 ≠ 400

∴ The sum of the squares of the two smaller partitions is not

   equal to the square of the third partition

- To create the apartment in the shape of a right triangle he must

   have three partitions the sum of the squares of the two smaller

   partitions is equal to the square of the largest partition

∴ He can not create the apartment in the shape of a right triangle

No, he can not do it

Learn more:

You can learn more about the right triangles in brainly.com/question/4098846

#LearnwithBrainly

3 0
3 years ago
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