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4 years ago

Pls help this is due very soon

Mathematics

2 answers:

loris [4]4 years ago

8 0

Answer:

669.87 cubic cm

Step-by-step explanation:

$d = 16 \: cm \implies \: r = 8 \: cm \\ h = 10 \: cm \\ V_{cone} = \frac{1}{3} \pi {r}^{2} h \\ \hspace{20 pt} = \frac{1}{3} \times 3.14 \times {8}^{2} \times 10 \\ \hspace{20 pt} = \frac{1}{3} \times 3.14 \times 64 \times 10 \\ \hspace{20 pt} = \frac{1}{3} \times 3.14 \times 640 \\ \hspace{20 pt} = \frac{1}{3} \times 2,009.6 \\ \hspace{20 pt} = 669.866667 \\ \huge \red{ \boxed{V_{cone} = 669.87 \: {cm}^{3} }}\\$

Viefleur [7K]4 years ago

7 0

10x16 = 160 cm

160x 3.14 = 502.4 cm

502.4 ≈ 500 cm

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4 years ago

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muminat

Answer:

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3 years ago

How many 6-digit whole numbers have the digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits betw

Yakvenalex [24]

There are 1680 digits 2, 0, 2, and 2 as a 4-digit consecutively ordered block with no other digits between them

<h3>How to determine the selection</h3>

To determine the number of whole numbers, the following must be true

Case 1: If the sequence starts from the first digit

The first digit can be any of the three 2's (i.e. 3 digits)
The second digit can only be 0
The third digit can be any of the remaining 2's (i.e. 2 digits)
The fourth digit can only be the last 2 (i.e. 1 digit)
The fifth digit can be any of 0 - 9 (i.e. 10 digits)
The sixth digit can be any of 0 - 9 (i.e. 10 digits)

So, we have:

$Case\ 1 = 3 * 1 * 2 * 1 * 10 * 10$

$Case\ 1 = 600$

Case 2: If the sequence starts from the second digit

The first digit can be any of 1 - 9 (i.e. 9 digits)
The second digit can be any of the three 2's (i.e. 3 digits)
The third digit can only be 0
The fourth digit can be any of the remaining 2's (i.e. 2 digits)
The fifth digit can only be the last 2 (i.e. 1 digit)
The last digit can be any of 0 - 9 (i.e. 10 digits)

So, we have:

$Case\ 2 = 9 * 3 * 1 * 2 * 1 * 10$

$Case\ 2 = 540$

Case 2: If the sequence starts from the third digit

The first digit can be any of 1 - 9 (i.e. 9 digits)
The second digit can be any of 0 - 9 (i.e. 10 digits)
The third digit can be any of the three 2's (i.e. 3 digits)
The fourth digit can only be 0
The fifth digit can be any of the remaining 2's (i.e. 2 digits)
The last digit can only be the last 2 (i.e. 1 digit)

So, we have:

$Case\ 3 = 9 * 10 * 3 * 1 * 2 * 1$

$Case\ 3 = 540$

The total number of whole numbers is:

$Total = 600 + 540 + 540$

$Total = 1680$

Hence, there are 1680 6-digit whole numbers that the digits

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3 years ago

Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles

Elza [17]

Answer:

The speed of the current is 3 miles per hour

Step-by-step explanation:

The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r

Let x = speed in still water

Let c = speed of the current

The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.

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Upstream x − c

Downstream x + c

The distance column with the numbers from the problem and the value for speed in still water for x.

Distance Rate Time

Upstream 4 5 − c

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The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time

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5 − c

Downstream 16 5 + c

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“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:

4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3

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3 years ago

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mr Goodwill [35]

Answer: x < 36

Step-by-step explanation:

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3 years ago