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lbvjy
1 month ago
9

Juan builds this pedestal for a trophy. What is the volume of the pedestal? Enter your answer in the box. in³ Three-dimensional

figure that could be formed by putting 2 rectangular prisms together. The front of the solid forms an upside down T. The bottom prism is 9 inches long, 2 inches wide, and 4 inches high. The top prism is 4 inches high. The top of the bottom prism measures 2 inches from the right edge to where it meets the top prism. It also measures 2 inches from the left edge to where it meets the top prism.
Mathematics
1 answer:
Zina [12.3K]1 month ago
4 0
The solution is negative 0
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An upscale resort has built its circular swimming pool around a central area that contains a restaurant. The central area is a r
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The diagram below illustrates the issue at hand.

Question 1:
The maximum area of the pool equals half the area of the circle.

To calculate the area of the circle: Area = πr², with r being half of the diameter.
Thus, Area of circle = π(60)² = 11309.73355 square feet.

Therefore, the area representing half the circle amounts to 11309.73355/2 = 5654.866... ≈ 5654.87 square feet (rounded to 2 decimal places).

Question b:

To find the pool's area, we take the circle's area and subtract the triangle's area.

The area of the circle is 11309.73 square feet.

For the triangle's area calculation: 1/2 × (60×103.92) = 3117.6 square feet.

The area of the pool thus operates as 11309.73 - 3117.6 = 7922.13 square feet.

Calculating the pool's volume: 7922.13 × 4 = 31688.52 cubic feet.

Note: Information related to the fish tank is unavailable, so the above calculation focuses solely on the entire pool's volume.

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2 months ago
A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre
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The computed standard deviation is 7588.09.
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2 months ago
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The gravitational force between Pluto and Charon is 3.61 × 1018 N. Pluto has a mass of 1.3 × 1022 kg, which is only slightly gre
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The formula for gravitational force is F = G * m1 * m2 / r². The gravitational constant is G = 6.67 * 10^(-11) m³/kgs². Thus, we find r = sqrt(G * m1 * m2 / F) = sqrt(6.67 * 10^(-11) m³/kgs² * 1.3 * 10^(22) kg * 1.6 * 10^(21) / 3.61 * 10^(18) N) = sqrt(3.84 * 10^(14)) = 1.96 * 10^(7) m, which is approximately 2 * 10^(7) m.
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A long wire is attached to the top of a 175 foot tall electrical transmission tower. If the wire needs to an angle of 65 degrees
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Approximate length of wire ≈ 193 ft (to the nearest foot).
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2 months ago
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each
lawyer [12517]

Answer:

The artist begins to profit when n > 8.18

That means the quantity of necklaces must exceed 8.18.

Step-by-step explanation:

Given

let n represent the number of necklaces

booth fee= $135

The expense for materials per necklace = $4.5n

the overall selling price for all necklaces = $12n

total costs= booth fee + material costs = $135 + 4.5n

profit = selling price - total costs

12n > 135 + 4.50n

By solving for n, we find

12n=135 + 4.50n

12n + 4.5n = 135

16.5n = 135

n = 135/16.5

n = 8.18

Hence, the artist achieves profits when n > 8.18.

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