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3 years ago

Find the volume of the oblique cone.

Mathematics

2 answers:

dem82 [27]3 years ago

8 0

Answer: The answer is 1674.66 cm³.

Step-by-step explanation: We are given to find the volume f the oblique cone in the figure.

The height of the cone is given by

h = 16 cm

and the radius of the base is of the cone is given by

r = 10 cm.

Therefore, the volume of the cone is given by

$V=\dfrac{1}{3}\pi r^2h=\dfrac{1}{3}\times 3.14\times 10^2\times 16=\dfrac{314\times 16}{3}=1674.66~\textup{cm}^3.$

Thus, the required volume is 1674.66 cm³.

RSB [31]3 years ago

6 0

Its 1/3 times 16 times 10.

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A teacher runs a total of 48 city blocks in a rectangular pattern. If the width of the run is 3x and the length of the run is 5x

Ghella [55]

Answer:

P = 16x + 8

Step-by-step explanation:

Perimeter of a rectangle

= 2(L + W)

Given

L = 5x + 4 and

W = 3x

Therefore

Perimeter = 2(5x + 4 + 3x)

Rearrange the expression

P = 2(5x + 3x + 4)

P = 2(8x + 4)

Now expand the bracket

P = 2 x 8x + 2 x 4

P = 16x + 8

6 0

3 years ago

Please help by looking at the picture, thanks!

Ad libitum [116K]

Answer:

I also got 616, what is the answer??

Step-by-step explanation:

6 0

3 years ago

Keller boat travels 24mph. find the rate of the river if she can travel 6 mi upstream. in the same amount of time she can go 10

nikitadnepr [17]

The correct answer is:

6 mph.

Explanation:

We will use the formula d = rt for this, where d is distance, r is rate, and t is time.

We know that the time for both distances is the same; this means we want to isolate t in our formula. To do this, we will cancel r by dividing both sides:
d/r = rt/r
d/r = t

We will write an expression for the time upstream, an expression for the time downstream, and set them equal.

For the time upstream, the distance is 6 and the rate is 24-x; this gives us

$\frac{6}{24-x}$

For the time downstream, the distance is 10 and the rate is 24+x; this gives us

$\frac{10}{24+x}$

Together, these give us the equation

$\frac{6}{24-x}=\frac{10}{24+x}$

We cross-multiply to solve this:
6(24+x) = 10(24-x)

Using the distributive property, we have
6*24 + 6*x = 10*24 - 10*x
144+6x = 240-10x

Adding 10x to each side,
144+6x+10x = 240-10x+10x
144+16x = 240

Subtract 144 from each side:
144+16x-144 = 240-144
16x = 96

Divide both sides by 16:
16x/16 = 96/16
x = 6

4 0

4 years ago

Read 2 more answers

A bag contains four batteries, all of which are the same size and are equally likely to be selected. Each battery is a differen

GuDViN [60]

Answer:

A) 64 ways in sample space

B) 24 ways in sample space

Step-by-step explanation:

Given:-

- A bag contains 4 batteries

- We are to select 3 at random

Find:-

how many points will be in the sample space if the batteries are selected

A) with replacement

b) without replacement

Solution:-

- The counting principle says if there are "m" ways to do one thing

and "n" ways do do another, then there are (m*n) ways of doing both.

A. 4 ways to grab first battery; put battery back;

4 ways to grab second battery; put battery back;

4 ways to grab second battery

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

4^3 = 64 ways in the sample space.

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

B. 4 ways to grab first battery; DON'T put battery back; You are left with 3.

3 ways to grab second battery; DON'T put battery back; You are left with 2

2 ways to grab third battery;

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

4*3*2 = 24 ways in the sample space.

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

6 0

3 years ago

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DiKsa [7]

The answer is B, 3x + 6y = 22 & 6x +12y = 44.

5 0

3 years ago

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