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Lilit [14]
4 years ago
6

A cone has a slant height of 26 inches and a diameter of 48 inches. What is the volume of the cone?​

Mathematics
1 answer:
fgiga [73]4 years ago
8 0

Answer:

Approx. 28952.92

Step-by-step explanation:

Because cone volume is found by V=πr²\frac{h}{3}.

First you find the radius. Because you have the diameter, you divide that by two, because it's 48, and diameter is radius multiplied by 2. So the radius is 24. 24pi squared with height divided by three is volume so, 28952.92.

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If the correlation coefficient in an ordinary least squares regression = 1.00, then A. all the data points must fall exactly on
Hatshy [7]

Answer: Option A is correct.

Step-by-step explanation:

  • The correlation coefficient(r) is a statistical measure that computes the strength of the relationship between two variables.

It lies between -1 and 1.

If the correlation coefficient in an ordinary least squares regression = 1.00.

That indicates that there is a perfect relationship between the variables.

i.e. all the data points must fall exactly on a straight line with a positive slope. .

[when r is positive, the slope of the line is positive].

i.e. option A is correct.

8 0
3 years ago
Which is a monthly recurring cost associated with renting a house?
kiruha [24]
You have to pay a certain amount each month
6 0
3 years ago
Read 2 more answers
On the way to her babysitting job, Mary rode her bike for the first mile. She stopped at a traffic light and waited a few minute
Aloiza [94]
The answer is b, hope this helps
7 0
3 years ago
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Find the length of the following​ two-dimensional curve. r (t ) = (1/2 t^2, 1/3(2t+1)^3/2) for 0 < t < 16
andrezito [222]

Answer:

r = 144 units

Step-by-step explanation:

The given curve corresponds to a parametric function in which the Cartesian coordinates are written in terms of a parameter "t". In that sense, any change in x can also change in y owing to this direct relationship with "t". To find the length of the curve is useful the following expression;

r(t)=\int\limits^a_b ({r`)^2 \, dt =\int\limits^b_a \sqrt{((\frac{dx}{dt} )^2 +\frac{dy}{dt} )^2)}     dt

In agreement with the given data from the exercise, the length of the curve is found in between two points, namely 0 < t < 16. In that case a=0 and b=16. The concept of the integral involves the sum of different areas at between the interval points, although this technique is powerful, it would be more convenient to use the integral notation written above.

Substituting the terms of the equation and the derivative of r´, as follows,

r(t)= \int\limits^b_a \sqrt{((\frac{d((1/2)t^2)}{dt} )^2 +\frac{d((1/3)(2t+1)^{3/2})}{dt} )^2)}     dt

Doing the operations inside of the brackets the derivatives are:

1 ) (\frac{d((1/2)t^2)}{dt} )^2= t^2

2) \frac{(d(1/3)(2t+1)^{3/2})}{dt} )^2=2t+1

Entering these values of the integral is

r(t)= \int\limits^{16}_{0}  \sqrt{t^2 +2t+1}     dt

It is possible to factorize the quadratic function and the integral can reduced as,

r(t)= \int\limits^{16}_{0} (t+1)  dt= \frac{t^2}{2} + t

Thus, evaluate from 0 to 16

\frac{16^2}{2} + 16

The value is r= 144 units

5 0
3 years ago
Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How
madreJ [45]

Answer:

$803.25

Step-by-step explanation:

Given data

Dimension for the room

Length= 21 ft

Width= 17ft

Area= L*W

Area= 21*17

Area= 357 ft^2

Lucy will need to get 357ft^2 of carpet

We are given that a square ft cost $2.25

Hence to carpet the room the cost will be $2.25*357= $803.25

3 0
3 years ago
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