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joja [24]
3 years ago
14

Mark placed a pool in his backyard which is enclosed by a triangular fence the radius of the pool is 20.5 feet. How backyard is

not covered by the pool
Mathematics
1 answer:
Ahat [919]3 years ago
4 0
The area of the pool is 1320.25
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Blake and Ned work for a home remodeling business. They are putting the final touches on a home they renovated. Working alone, B
gizmo_the_mogwai [7]

Answer: The time taken by both of them if they work together is given by

3\dfrac{3}{5}\ hours

Step-by-step explanation:

Since we have given that

Time taken by Blake to paint one room = 9 hours

Time taken by Ned to paint one room = 6 hours

Work done by Blake  = \dfrac{1}{9}

Work done by Ned = \dfrac{1}{6}

Total work done by both of them together is given by

\dfrac{1}{6}+\dfrac{1}{6}\\\\=\dfrac{3+2}{18}\\\\=\dfrac{5}{18}

So, the time taken by both of them if they work together is given by

\dfrac{18}{5}=3\dfrac{3}{5}\ hours

7 0
3 years ago
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Nastasia [14]

Answer:45 * t = 2.5 * (1-t)...the equation will have one solution.

Step-by-step explanation:

For this case, the first thing you should know is:

d: v * t

Where,

d: distance

v: speed

t: time

To go to school by bus we have:

d = 45 * t

To return from school we have:

d = 2.5 * (1-t)

how the distance is the same:45 * t = 2.5 * (1-t)

3 0
2 years ago
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Which of the following is not a perfect square?<br> A. 50<br> B. 49<br> C. 121<br> D. 1
luda_lava [24]
50 is not a perfect square because it doesn’t have a square root.

Hope this helped :)
6 0
3 years ago
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A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is
Law Incorporation [45]

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

7 0
3 years ago
How much does 1 candy bar cost if 112 candy bars cost $78.00?
Alexxandr [17]
$0.70 per candy.
$78 divided by 112 gives $0.696, so by rounding off, you get 0.70
5 0
2 years ago
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