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ExtremeBDS [4]
3 years ago
13

A cone has a diameter of 10 inches. If its height is twice its radius, about what is the volume of the cone in cubic inches? Use

3.14 for π. A. 51.67 cu. in. B. 157 cu. in. C. 261.67 cu. in. D. 785 cu. in.
Mathematics
1 answer:
GuDViN [60]3 years ago
6 0

Answer:

C) 261.67 inch³

Step-by-step explanation:

radius = 10/2 = 5

height = 10

Volume = ⅓×pi×r²×h

= ⅓×3.14×5²×10

= 261.6666666667

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3 years ago
Read 2 more answers
Solve each inequality for x. (Enter your answers using interval notation.)
olganol [36]

Answer:

(a) ln(x) = 0

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(b) e^x > 2

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x = 55.1377197

ln(a + b) + ln(a - b) - 5ln(c)

= ln[(a² - b²)/c^5]

Step-by-step explanation:

First Part.

(a) ln(x) < 0

=> x < e^(0)

x < 1 ....................................(1)

But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.

In fact the values of x that satisfy this inequalities are between 0 and 1.

Therefore, we write:

0 < x < 1

(b) e^x > 2

This means x > ln2

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We write as:

ln2 < x < ∞

Second Part.

(a) ln(3x - 17) = 5

3x - 17 = e^5

3x = 17 + e^5

x = (1/3)(17 + e^5)

= 55.1377197

Third Part.

We need to write

ln(a + b) + ln(a - b) - 5ln(c)

as a single logarithm.

ln(a + b) + ln(a - b) - 5ln(c)

= ln(a + b) + ln(a - b) - ln(c^5)

= ln[(a + b)(a - b)/(c^5)]

= ln[(a² - b²)/c^5]

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Step-by-step explanation:

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4 years ago
Which of the following is true?
kow [346]

Answer:

C.

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