All categories

1 year ago

Can sb please help quick.

Mathematics

2 answers:

Vikki [24]1 year ago

5 0

Answer:

$315.19$

Step-by-step explanation:

Given:

Radius of the cone is 7.
Height of the cone is 7.

To find:

The volume of a cone with a radius of 7 and a height of 7.

Solution:

Use the formula: $V=\frac{1}{3}h\pi r^2$

Result:

$V=\pi r^2\frac{h}{3}$

$=\pi *7^2*\frac{7}{3}$

≈ $359.18876$

Now round to the nearest hundredth.

≈ $359.19$

Note*

Nearest hundredth is the second digit after the decimal point.

vekshin11 year ago

3 0

Answer:

400

Step-by-step explanation:

Volume = 1/3 x 3.14 x (7x7) x 7

You might be interested in

In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini

svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

$x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2$

The augmented matrix is

$\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]$

The reduction of this matrix to row-echelon form is outlined below.

$R_2\rightarrow R_2-R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]$

$R_3\rightarrow R_3-2R_1$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]$

$R_3\rightarrow R_3-R_2$

$\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]$

The last row determines, if there are solutions or not. To be consistent, we must have k such that

$k^2-k-2=0$

$\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2$

Case k = −1:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]$

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

$\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]$

This gives the infinite many solution.

5 0

2 years ago

Marika is training for tack race. She starts by sprinting 100 yards. She gradually increases her distance, adding 4 yards a day

Mekhanik [1.2K]

Answer:

A(n)= 100 + (n-1)4

Step-by-step explanation:

5 0

2 years ago

2) There were 228 roses growing in the back garden. If 50% of the

Nookie1986 [14]

The answer is 114 just divide 228 by 2

6 0

2 years ago

Read 2 more answers

What is the value of 3/4 increased by 2 1/6?

Mashutka [201]

Answer:

2 11/12

Step-by-step explanation:

3/4 + 2 1/6

Add the fractions.

35/12

= 2 11/12

8 0

2 years ago

Read 2 more answers

F(x)=3x-2 Simplify F(2x)-F(x+2)

inysia [295]

Answer:

3x - 6

Step-by-step explanation:

To evaluate f(2x) and f(x + 2) substitute x = 2x and x = x + 2 into f(x)

f(2x) = 3(2x) - 2 = 6x - 2

f(x + 2) = 3(x + 2) - 2 = 3x + 6 - 2 = 3x + 4

Thus

f(2x) - f(x + 2)

= 6x - 2 - (3x + 4)

= 6x - 2 - 3x - 4

= 3x - 6

7 0

3 years ago