has a cylindrical hat box that has a height equal to its radius. What is the surface area of the hat box?
To find the surface area of the cylindrical hat box, we need to consider the curved surface area and the top and bottom circular bases. The curved surface area of a cylinder can be calculated using the formula: Curved Surface Area = 2 rh where r is the radius and h is the height (which is equal to the radius in this case). The formula for the area of a circle is: Area of a Circle = r^2 Since the top and bottom bases of the hat box are circles, we need to calculate their areas separately. Given that the height of the hat box is equal to its radius (h = r), we can proceed with the
Question
Updated 290 days ago|6/30/2023 12:29:37 AM
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To find the surface area of the cylindrical hat box, we need to consider the curved surface area and the top and bottom circular bases.

The curved surface area of a cylinder can be calculated using the formula:

Curved Surface Area = 2 rh

where r is the radius and h is the height (which is equal to the radius in this case).

The formula for the area of a circle is:

Area of a Circle = r^2

Since the top and bottom bases of the hat box are circles, we need to calculate their areas separately.

Given that the height of the hat box is equal to its radius (h = r), we can proceed with the calculations:

Curved Surface Area = 2 rh = 2 rr = 2 r^2

Area of the Top Base = r^2

Area of the Bottom Base = r^2

To find the total surface area, we sum up the curved surface area, the top base area, and the bottom base area:

Total Surface Area = Curved Surface Area + Area of Top Base + Area of Bottom Base
= 2 r^2 + r^2 + r^2
= 4 r^2

Therefore, the surface area of the cylindrical hat box is 4 times the square of the radius (4 r^2).
Added 290 days ago|6/30/2023 12:29:37 AM

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Roger's bill at lunch is \$16. He pays 6% tax on his bill. If Roger leaves a \$3.20 tip, what is the total amount Roger paid for his bill, tax, and tip? \$16.96 \$19.20 \$20.16 \$25.20
Question
Updated 188 days ago|10/10/2023 12:13:07 AM

Roger's bill at lunch is \$16. He pays 6% tax on his bill. If Roger leaves a \$3.20 tip, \$20.16 is the total amount Roger paid for his bill, tax, and tip.

Solution:

The tax amount is 16 x 0.06 = 0.96;
The subtotal is 16 + 0.96 = 16.96;
Tip: \$3.20 + 16.96 = 20.16
Added 188 days ago|10/10/2023 12:13:07 AM
A coin is flipped 7 times. What is the probability that the second and the fifth flips are both tails?
Question
Updated 281 days ago|7/9/2023 12:10:40 AM
When flipping a fair coin, there are two possible outcomes for each flip: heads (H) or tails (T). The probability of getting tails on any single flip is 1/2, assuming a fair coin.

Since the coin is flipped independently on each trial, the probability of getting tails on the second and the fifth flips is calculated by multiplying the probabilities together:

Probability of tails on the second flip = 1/2
Probability of tails on the fifth flip = 1/2

Probability of both events occurring = (1/2) * (1/2) = 1/4

Therefore, the probability that the second and fifth flips both result in tails is 1/4.
Added 281 days ago|7/9/2023 12:10:40 AM
Find the sum of 4x2 - xy + 9 and x2 + 3xy - 2y2 4x2 + 2xy - 2y2 + 9 5x2 + 3xy - 2y2 + 9 5x2 + 2xy - 2y2 + 9 3x2 - 4xy + 2y2 + 9
Question
Updated 3/19/2016 6:29:43 PM
4x^2 - xy + 9 + (x^2 + 3xy - 2y^2)
= 4x^2 - xy + 9 + x^2 + 3xy - 2y^2
= 5x^2 + 2xy - 2y^2 + 9
Confirmed by jeifunk [3/20/2016 12:37:41 PM]
What is the product of 3x2 - 4 and -x2 + 5x - 1?
Question
Updated 3/17/2016 12:31:59 PM
(3x^2 - 4) (-x2 + 5x - 1)
= - 3x^4 + 15x^3 - 3x^2 + 4x^2 - 20x + 4
= - 3x^4 + 15x^3 + x^2 - 20x + 4
39,052,564
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