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3 years ago

Mr. Howard's pool is connected to his pool house by a sidewalk as shown. He wants to buy sod for the

Mathematics

1 answer:

a_sh-v [17]3 years ago

6 0

Answer: he needs to buy 578.5 yard² of Sod.

Step-by-step explanation:

Assuming the lawn is square shaped, the formula for determining the area of a square is

Area = length²

If the length of each side of the lawn is 24 1/2 = 24.5 ft

Area of the lawn = 24.5² = 600.25yard²

The area of the pool house is 16yard²

The area of the side walk is

3 × 1 = 3 yard²

The length of the pool is 7 1/2 = 7.5yards

The width of the pool is 2 1/2 = 2.5 yards. Therefore,

Area of pool = 7.5 × 2.5 = 18.75 yard²

Therefore, the amount of Sod that he needs to buy is

600.25 - (3 + 18.75) = 600.25 - 21.75

= 578.5 yard²

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V= u + at<br> u= 2<br> a = -5<br> t = 1 글<br> Work out the value of v.

Maksim231197 [3]

Answer:

v = - 3

Step-by-step explanation:

Given

v = u + at ← substitute u = 2, a = - 5, t = 1 into the expression

v = 2 + (- 5 × 1) = 2 + (- 5) = 2 - 5 = - 3

5 0

3 years ago

Please Helpp! The picture posted is the question I have . TIA

OleMash [197]

The equation for volume of a sphere is:

Volume = 4/3 * PI * r^3

r is the radius = 1 inch

Volume is given as 4 cubic inches per second increase.

Given: dv/dt = 4 cubic inches per second.

Need to find dr/dt

Formula for volume of a sphere is: V = 4/3 * π * r^3

so now we have:

4 in^3 = 4 * π *1^2

Divide both sides by 4 * π *1^2

4 in^3 / 4π = 1/π inch per second.

The answer is 1/π inch per second ( exact answer)

or as a decimal: 0.3183 ( round as needed).

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3 years ago

How do you solve this step by step?

kolezko [41]

Answer:

Step-by-step explanation:

Evaluate x^2 + 2 x^2 + 3 x^2 + 4 x^2 where x = 3:

x^2 + 2 x^2 + 3 x^2 + 4 x^2 = 3^2 + 2×3^2 + 3×3^2 + 4×3^2

3^2 = 9:

3^2 + 2×9 + 3×3^2 + 4×3^2

3^2 = 9:

3^2 + 2×9 + 3×9 + 4×3^2

3^2 = 9:

3^2 + 2×9 + 3×9 + 4×9

3^2 = 9:

9 + 2×9 + 3×9 + 4×9

2×9 = 18:

9 + 18 + 3×9 + 4×9

3×9 = 27:

9 + 18 + 27 + 4×9

4×9 = 36:

9 + 18 + 27 + 36

| 3 |

| 3 | 6

| 2 | 7

| 1 | 8

+ | | 9

| 9 | 0:

Answer: 90

5 0

3 years ago

Read 2 more answers

According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $

Alla [95]

Answer: $ 290 thousand

Step-by-step explanation:

Given : According to a certain central bank from 2000 to 2016 the average price of a new home in a certain region increased by 62 % to $470 thousand.

Let X be the the average price of a new home in 2000 .

Then , the 62 % increase in price is given by :-

$x+0.62(x)=x(1+0.62)=1.62x$

Since , the the average price of the home in 2016 = $470 thosand

$1.62x=470\\\\\Rightarrow\ x=\dfrac{470}{1.62}=290.12345679\approx290$

Hence, the average price of a new home in 2000 = $ 290 thousand .

3 0

3 years ago

Find the total area surface of figure

Neporo4naja [7]

Answer:

$92 \:cm^2$

Step-by-step explanation:

$Surface\:_{area}=2\times(\ell\times w +\ell \times h + w \times h)$

$=2\times(8 \times 2 +8 \times 3 + 2 \times 3)$

$=2 \times (16+24+6)$

$=2\times 46$

$=92\: cm^2$

5 0

2 years ago

Read 2 more answers