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Kipish [7]
4 years ago
6

Help please!! <3 A cone has a radius of 2.5 inches and a height of 1.6 inches.

Mathematics
1 answer:
Ainat [17]4 years ago
7 0
We know, Volume of a Cone = πr² h/3
v = 3.14 * (2.5)² * 1.6/3
v = 3.14 * 6.25 * 0.53
v = 10.46
After nearest tenth, it would be: 10.5 in³

In short, Your Answer would be Option B

Hope this helps!
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Round 14.81 to the nearest tenth
kiruha [24]

Answer: 14.8

Step-by-step explanation: If the number in the hundredths place is less than 5, you must round down. On the contrary, if that number is 5 or greater, you must round up. This applies for rounding to any place not just the tenths place. For example, if you were to round it to the ones place, the answer would be 15.

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Find the slope of the line that passes through (5,3) and (4,2).
GREYUIT [131]

Answer:

The slope is 1

Step-by-step explanation:

Slope = (y₂-y₁)/(x₂-x₁) = (2-3)/(4-5) = (-1)/(-1) = 1

Therefore, the slope of the line that passes through (5,3) and (4,2) is 1

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Which equation has 2 solutions?
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Step-by-step explanation:

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4 years ago
The volume of a rectangular prism is b^3 + 8b^2 + 19b + 12 cubic units, and its height is b + 3 units.
BlackZzzverrR [31]
The answer is (b² + 5b + 4).

The volume of a rectangular prism (V) is:
V = l · w · h              (l - length, w - width, h - height)

The base of the rectangular prism is the product of length and width, so the area of the base is:
A = l · w

Since V = l · w · h and A = l · w, then:
V = A · h
It is given:
V = b³ + 8b² + 19b + 12
h = b + 3
⇒ b³ + 8b² + 19b + 12 = A · (b + 3)
⇒ A = (b³ + 8b² + 19b + 12) ÷ (b + 3)

Now, we have to present the volume as multiplication of factors. One of the factors is b+3. So:
b³ + 8b² + 19b + 12 = (b · b² + 3b²) + (5b² + 15b) + (4b + 3·4) =
                                =    b²(b + 3)    +   5b(b + 3)   +  4(b + 3) =
                                = (b + 3)(b² + 5b + 4)

A = (b³ + 8b² + 19b + 12) ÷ (b + 3) = (b + 3)(b² + 5b + 4) ÷ (b + 3)

(b + 3) can be cancelled out:
A = (b² + 5b + 4)
7 0
3 years ago
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