Points D,E,F are non-Collin war.How many lines can be drawn that pass through F and are perpendicular to DE

Need help answering this question

Nikolay [14]

Answer:

incorrect.

Step-by-step explanation:

Why?

72 times 2 is 144. You have a remainder of 4 left. Therefore the answer being 2r4

6 0

3 years ago

Gcf/ greatest common factor and / LCM least common multiple Mang Andoy is going to put in trays of 6 eggs and 12 eggs. What is t

UNO [17]

Answer with explanantion:

1. What is asked? The smallest number of eggs that Mang Andoy can put using the tray.

2. What are given facts? Two kinds of tray (One can have 6 eggs , other can have 12 eggs)

3. How will you solve the problem? We need to find LCM of 6 and 12.

4. How is the solution done?

Prime factorization of 6 and 12:

6=2 x 3

12 = 2 x 2 x 3

LCM(6,12) = 2 x 2 x 3 = 12

5. What is the answer to the problem? The smallest number of eggs that Mang Andoy can put using the tray = 12

5 0

3 years ago

there are 15 rafts available for people to use on the adventure river ride. each raft holds 12 people. the park runs this ride 3

3241004551 [841]

540 people can ride the wild river in 1 hour if all of the rafts are used and each raft is full

Solution:

Given, There are 15 rafts available for people to use on the adventure river ride.

Each raft holds 12 people.

Then, total people capacity over all rafts = 15 x 12 = 180 people.

The park runs this ride 3 times each hour.

We have to find how many people can ride the wild river in 1 hour if all of the rafts are used and each raft is full?

Then, total people count who take ride = number of rides x number of people per ride

= 3 x 180 = 540

Hence, 540 people can take ride in 1 hour.

6 0

3 years ago

If a fire is burning a building and it takes 2 hours to put it out using 2000 gal./min., what minimum diameter cylindrical tank

strojnjashka [21]

Answer:

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

Step-by-step explanation:

A gallon equals 0.134 cubic feet. First, we determine the amount of water ( $Q$ ), measured in cubic feet, needed to put out the fire under the assumption that water is consumed at constant rate:

$Q = \dot Q \cdot \Delta t$ (1)

Where:

$\dot Q$ - Volume rate, measured in feet per minute.

$\Delta t$ - Time, measured in minutes.

If we know that $\dot Q = 2000\,\frac{gal}{min}$ and $\Delta t = 120\,min$ , then the amount of water is:

$Q = \left(2000\,\frac{gal}{min} \right)\cdot (120\,min) \cdot \left(0.134\,\frac{ft^{3}}{gal} \right)$

$Q = 32160\,ft^{3}$

And the diameter of the cylindrical tank based on the capacity found above is determined by volume formula for a cylinder:

$Q = \frac{\pi}{4}\cdot D^{2}\cdot h$ (2)

Where:

$D$ - Diameter, measured in feet.

$h$ - Height, measured in feet.

If we know that $Q = 32160\,ft^{3}$ and $h = 12\,ft$ , then the minimum diameter is:

$D^{2} = \frac{4\cdot Q}{\pi\cdot h}$

$D = 2\cdot \sqrt{\frac{Q}{\pi\cdot h} }$

$D = 2\cdot \sqrt{\frac{32160\,ft^{3}}{\pi\cdot (12\,ft)} }$

$D \approx 58.415\,ft$

The minimum diameter of the cylindrical tank needed to store the quantity needed to put out the fire is approximately 58.415 feet.

8 0

2 years ago

1.What is the solution to the system of equations?

Ludmilka [50]

1. x=4, y=0
3. x=2.6666, y=0.3333

8 0

3 years ago