How would you figure out the volume of a triangle? I've been wondering how for a while and the time's come to ask.

A solid figure is

Len [333]

Answer: 4 feet.

Step-by-step explanation:

Their is one rectangular prison divided into two.

The volume of the first one is

V1= L X H X W=80.

Volume of the second one is

V2= L X H X W

V2= 6 X H X 5

V2 = 30H

Now from the question, the total volume is 200cubic feet which means V1 + V2 = 200, recall that V1=80 and V2=30H, so we say;

80+30H=200, collecting the like term we have, 30H=200-80.

30H=120, divide both side by 30

30H/30=120/30

H= 4feet.

Height is 4feet.

7 0

3 years ago

Vanessa wants to purchase a new cell phone plan. The two plans from which she can choose are shown below. Vanessa used the syste

user100 [1]

Answer:

2. 325 minutes.

Step by step explanation:

We will substitute our given number of minutes in our both equation one by one to find the correct option.

1. Let us substitute m= 775 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 775$

$CA=22+100.75=122.75$

$CB=44+0.09(m-100)$

$CB=44+0.09(775-100)$

$CB=44+0.09\cdot675$

$CB=44+60.75=104.75$

$104.75\neq122.75$

We can see that both plans have different costs , therefore, 1st option is incorrect.

2. Let us substitute m= 325 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 325$

$CA=22+42.25=64.25$

$CB=44+0.09(m-100)$

$CB=44+0.09(325-100)$

$CB=44+0.09\cdot 225$

$CB=44+20.25=64.25$

$64.25=64.25$

When Vanessa has used the phone for 325 minutes, the cost for Plan A and the cost for Plan B will both be $64.25.Therefore, 2nd option is correct choice.

3. Let us substitute m= 32.5 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 32.5$

$CA=22+4.225=26.225$

$CB=44+0.09(m-100)$

$CB=44+0.09(32.5-100)$

$CB=44+0.09\cdot -67.5$

$CB=44-6.075=37.925$

$37.925\neq26.225$

4. Let us substitute m= 764 in both equations.

$CA=22+0.13m$

$CA=22+0.13\cdot 764$

$CA=22+99.32=121.32$

$CB=44+0.09(m-100)$

$CB=44+0.09(764-100)$

$CB=44+0.09\cdot 664$

$CB=44+59.76=103.76$

$121.32\neq103.76$

Therefore, 4th option is incorrect.

3 0

3 years ago

What shape best describes the cross section cut at an angle to the base of a right rectangular prism? Trapezoid Parallelogram Sq

andreev551 [17]

Answer:

Rectangle.

Step-by-step explanation:

The 2 dimensional section would be a rectangle.

5 0

3 years ago

1. The mechanics at Lincoln Automotive are reborning a 6 in deep cylinder to fit a new piston. The machine they are using increa

Firdavs [7]

Answer:

$0.0239\frac{in^{3}}{min}$

Step-by-step explanation:

In order to solve this problem, we must start by drawing a diagram of the cylinder. (See attached picture)

This diagram will help us visualize the problem better.

So we start by determining what data we already know:

Height=6in

Diameter=3.8in

Radius = 1.9 in (because the radius is half the length of the diameter)

The problem also states that the radius will increase on thousandth of an inch every 3 minutes. We can find the velocity at which the radius is increasing with this data:

$r'=\frac{1/1000in}{3min}$

which yields:

$r'=\frac{1}{3000}\frac{in}{min}$

with this information we can start solving the problem.

First, the problem wants us to know how fast the volume is increasing, so in order to find that we need to start with the volume formula for a cylinder, which is:

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

where V is the volumen, r is the radius, h is the height and π is a mathematical constant equal approximately to 3.1416.

Now, the height of the cylinder will not change at any time during the reborning, so we can directly substitute the provided height, so we get:

$V=\pi r^{2}(6)$

or

$V=6 \pi r^{2}$

We can now take the derivative to this formula so we get:

$\frac{dV}{dt}=2(6)\pi r \frac{dr}{dt}$

Which simplifies to:

$\frac{dV}{dt}=12\pi r \frac{dr}{dt}$

We can now substitute the data provided by the problem to get:

$\frac{dV}{dt}=12\pi (1.9) (\frac{1}{3000})$

which yields:

$\frac{dV}{dt}=0.0239\frac{in^{3}}{min}$

3 0

3 years ago

Ms. Lui earned an annual income of 775,000, what is the weekly salary?

jok3333 [9.3K]

Answer:

$14,903.85

Step-by-step explanation:

So, Ms. Lui earns $775,000 each year. To find the weekly salary, we have to divide the annual income by the amount of weeks in a year. There are about 52 weeks in one year. Let's find the weekly salary:

$\frac{775000}{52} = 14,903.85$

Therefore, Ms. Lui earns $14,903.85 a week.

Hope this helps! If you have questions about my work, please leave them in the comments!

4 0

2 years ago