How many solutions exist for the given equation? 3x(x - 2) = 22

Find the volume of a right circular cone that has a height of 12.5 cm and a base with a circumference of 5.8 cm. Round your answ

BaLLatris [955]

Answer:

$V = 11.2 cm^3$

Step-by-step explanation:

Given

Shape: Right Circular cone

Height, h = 12.5 cm

Base circumference, C = 5.8cm

Required:

Calculate Volume

The volume of a cone is calculated as thus;

Volume, $V = \frac{1}{3}\pi r^2h$

Where V, r and h represent the volume, the radius and the height of the cone respectively

But first we need to calculate the radius of the cone.

Using formula of circumference.

$C = 2\pi r$

We have C to be 5.8cm

By substituting this value;

$5.8 = 2\pi r$

Divide through by $2\pi$

$\frac{5.8}{2\pi} = \frac{2\pi r}{2\pi}$

$r = \frac{5.8}{2\pi}$

$r = \frac{2.9}{\pi}$

Now, we can calculate the volume of the cone

By substituting $r = \frac{2.9}{\pi}$ and h = 12.5 cm;

$V = \frac{1}{3}\pi r^2h$ becomes

$V = \frac{1}{3}\pi * (\frac{2.9}{\pi})^2 * 12.5$

$V = \frac{1}{3}\pi * \frac{8.41}{\pi^2} * 12.5$

$V = \frac{1}{3} * \frac{8.41}{\pi} * 12.5$

Take $\pi$ as 3.14

$V = \frac{1}{3} * \frac{8.41}{3.14} * 12.5$

$V = 11.15976$

$V = 11.2 cm^3$ ---- Approximated

Hence, the volume of the cone is; $V = 11.2 cm^3$

4 0

2 years ago

linda,rumi,liz,amy,adam,and sam ran a 800-meter race.Adam BEAT liz by 7meter Sam beat linda by 12 meters. Adam finished 5 meters

Stels [109]

The distance between Adam and Liz is 7 meters. Sam ang Linda are 12 meters apart. Adam and Sam are 3 meters apart while Adam is 5 meters ahead of anyone. So, Sam finished first, then Adam, next is Liz, next is Rumi, last is Linda.

5 0

2 years ago

Edwin Edwards and Karen Davis owned EEE, Inc., which owned three convenience stores, all of which sold gasoline. Reid Ellis deli

Ulleksa [173]

Question Completion:

Note: This is a Law question, not Mathematics.

Answer:

Decision:

Edwards and Davis are not personally liable for the debts of EEE, Inc.

Step-by-step explanation:

That Edwin Edwards and Karen Davis owned EEE Inc. does not force them to be personally liable for the debts of EEE Inc. EEE Inc. is a separate legal entity. There is the legal separation of ownership and the liabilities of Edwards and Davis are limited to the capital they contributed or undertook to contribute to the corporation. The corporate veil is only lifted when it is ascertained that EEE Inc. was not run as a legal entity separate from the owners. We can also conclude that there is no evidence of abuse of the corporate form of EEE Inc. with comingling of assets or for the purpose of promoting fraud or injustice or evasion of tort or contractual responsibility on the part of Edwards and Davis. Therefore, Edwin Edwards and Karen Davis are not personally liable for the debts of EEE Inc. as claimed by Reid Ellis.

5 0

2 years ago

Plot the function y(x)=e–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this functio

Flauer [41]

Answer:

The plot is attached.

Step-by-step explanation:

Plot the function y(x)=e^–0.5x sin(2x) for 100 values of x between 0 and 10. Use a 2- point-wide solid blue line for this function.

The step value for x is (10-0)/100=0.1.

Plot the function y(x)=e–0.5x cos(2x) on the same axes. Use a 3-point-wide dashed red line for this function.

The step value for x is the same as the previous function.

The plot is attached.