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yaroslaw [1]
3 years ago
8

After remodeling the circular deck, the Museum Board Members decided to also build a

Mathematics
1 answer:
UNO [17]3 years ago
8 0

9514 1404 393

Answer:

  3929 square feet

Step-by-step explanation:

The radius of the fence circle is half its diameter, so is 51.4 feet. The area of a circle is given by the formula ...

  A = πr^2

The difference in areas of the two regions is found by subtracting the smaller area from the larger one. So, the difference in area between the fenced area of radius 51.4 feet and the playground area of radius 37.3 feet is ...

  ∆A = π(51.4^2 -37.3^2) = 1250.67π ≈ 3929 . . . square feet

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Find the amount in a continuously compiunded account for the following condition. Principal, $4000; Annual interest rate, 5.1%;
Ket [755]
A = P*e^(rt)

Here,

A = $4000*e^(0.051*2) = $4000*e^1.02 = $4000(2.773) = $11092.78 

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7 0
3 years ago
7. The largest of the Great Pyramids in Egypt was built with a square base,
strojnjashka [21]

Answer:

Difference between the original and current volumes = 4013140.30 cubic feet

Step-by-step explanation:

Largest pyramid has the square base with one edge = 754 feet

Area of the square base = (Side)²

                            = (754)²

                            = 568516 square feet

Volume of the pyramid = \frac{1}{3}(\text{Area of the base})(\text{Height})

                                       = \frac{1}{3}\times 568516\times 481

                                       = 91152065.3 cubic feet

After erosion,

Area of the base = (745)² = 555025 square feet

Volume of the pyramid = \frac{1}{3}(555025)(471)

                                       = 87138925 cubic feet

Difference between the original and current volumes of the pyramid

= 91152065.30 - 87138925

= 4013140.30 cubic feet

5 0
3 years ago
Add 34+(−212) using the number line. Select the location on the number line to plot the sum.
nexus9112 [7]

Answer:

-1 3/4

Step-by-step explanation:

3/4 + (-2 1/2)

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5 0
3 years ago
What is the solution for m >7/12
Over [174]

Answer:

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Interval Notation: (7/12, ∞)

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3 years ago
PLEASE HELP ASAP
aleksklad [387]

Answer:

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