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pychu [463]
2 years ago
6

Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches

and a height of 20 inches.
What is the volume of this hive rounded to the nearest tenth?
Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

Volume of the hive is 4712.4 square inches.

Step-by-step explanation:

Since hive has the shape of a cone with radius = 15 inches and height = 20 inches

Therefore, volume of the given cone = \frac{1}{3}(\text{Area of the base})\times \text{height}

Area of the circular base = πr²

Area = π(15)²

        = 225π

Volume of the cone = \frac{1}{3}(225\pi )\times{20}

                                 = 1500π

                                 = 4712.39

                                 ≈ 4712.4 square inches

Therefore, volume of the hive is 4712.4 square inches.

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Dafna11 [192]

Answer:

<em>1. We can't see any boat on the river at this scale.</em>

<em>2. 0.025 inches. We won't be able to see it</em>

<em></em>

Step-by-step explanation:

<em>the beginning of the question states that; according to this map, the driving distance is 3 miles, we're most interested in the graphics at the bottom left, which indicates that 1 inches on the map corresponds to 2,000 ft in real life.</em>

<em />

If 1 inches = 2000 ft,

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we cross multiply to give

2000x ft = 50 ft-inches

x = 50/2000 =<em> 0.025 inches</em>

7 0
2 years ago
Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller piece
shusha [124]
The gcf of 90 and 72 is 18, so i divided both of them by 18 and i got 4 and 5, in total he would 9 pieces of wood
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2 years ago
It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

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Step-by-step explanation:

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5 0
2 years ago
Consider the following formula used to estimate height, h, of a seedling after w weeks since planting:
svp [43]

Answer:

Option B. w=5h-8

Step-by-step explanation:

we have

h=(\frac{1}{5})w+(\frac{8}{5})

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That means ----> isolate the variable w

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subtract 8 both sides

5h-8=w+8-8

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Rewrite

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4 0
2 years ago
Ava said "There are only three hundred 3- diget numbers" is her statement true or faulse
Eduardwww [97]

Answer: False, there are actually 900 different three-digit numbers

========================================================

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This means we have 999-100+1 = 900 different three-digit numbers.

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Here's a smaller example of why this works: say you had the set {1,2,3,4} and we wanted to count the number of items in this set. Clearly there are 4 items. Note how subtracting the endpoints 4-1 gets us 3 instead, so we add on 1 to include that left endpoint.

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