A third line intersects two lines (A transversal). Which condition would always make the two lines parallel?

Monte performs an experiment using 2 identical graduated cylinders, each with a radius of 2 centimeters. The volume of the liqui

elena55 [62]

Volume of a cylinder is h x r^2 x pi

You have the volume and radius of each one, so taking 188.4=(2)^2 x 3.14 x h1, you can solve this equation for the height h1. Likewise, for the other graduated cylinder you take 314=2^2 x 3.14 x h2, and then solve for h2.

To get the difference in heights, just take h2-h1 after solving the equations for h2 and h1

5 0

3 years ago

Read 2 more answers

Charles Lindbergh made the first solo airplane flight from New York to Paris. His flight covered about 3610 miles in 33.5 hours.

agasfer [191]

Charles Lindbergh made the first solo airplane flight from New York to paris. His flight covered about 3 610 miles in 33.5 hours. Let’s find the Unit Rate for this given data: => 3 610 miles is the total distance => 33.5 hours is the time Let’s divide the distance by time to get the answer => 3 610 / 33.5 => 107.8 miles per hour – this is the unit rate that Charles travelled in plane from New York to Paris

4 0

2 years ago

For a science experiment Marcia dissolved 1.0 kilogram of salt in 3.0 liters of water. For a different experiment,bobby dissolve

Vesnalui [34]

Marcia dissolved 1 kg of salt in 3 litres of water
Bobby dissolved 2 pounds of salt in 7 pints of water
We know that
1 litre = 2.11 pints
We also know that
1 pound = 0.4535 kg
Now if we take the case of Bobby, and convert the pound to kg then
1 pound = 0.4535 kg
2 pounds = (0.4535 * 2) kg
 = 0.907 kg 
 = 0.91 kg
Bobby dissolved the salt in 7 pints of water
We know
2.11 pints = 1 litre
Then
7 pints = (7/2.11) litre
 = 3.32 litres
So we now see that Bobby has dissolved 0.91 kg of salt in 3.32 litres of water
Marcia dissolved 1 kg of salt in 3 litres of water.
So Marcia has made a more concentrated solution since she has dissolved more salt in less amount of water whereas Bobby has dissolved less amount of salt in more water.

7 0

3 years ago

Wild

Blizzard [7]

How many slices are all together?

8 0

2 years ago

Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________

Anuta_ua [19.1K]

Answer:

a. With replacement

1/2197

b. Without replacement

1/5,525

Step-by-step explanation:

Okay, here is a probability question.

The key to answering this question is by knowing the number of aces in a deck of cards.

There is 1 ace per suit, so there is a total of 4 aces per deck of cards.

So, mathematically the probability of picking an ace would be;

number of aces/ total number of cards = 4/52 = 1/13

a. Now since the action is with replacement; that means that at any point in time, the total number of cards would always remain 52 even after making our picks.

So the probability of picking three aces with replacement would be;

1/13 * 1/13 * 1/13 = 1/2197

b. Without replacement

what this action means is that after picking a particular card, we do not return the picked card to the deck of cards.

For the first card picked, we will be having a total of 4 aces and 52 total cards.

So the probability of picking an ace would be 4/52 = 1/13

For the second card picked, we shall be left with selecting an ace out of the remaining 3 aces and the total remaining 51 cards

So the probability will be 3/51 = 1/17

For the third and last card to be picked, we shall be left with picking 1 out of the remaining 2 aces cards and out of the 50 cards left in the deck.

So the probability now becomes 2/50 = 1/25

Thus, the combined probability of picking 3 aces cards without replacement from a deck of cards will be;

1/13 * 1/17 * 1/25 = 1/5,525

7 0

3 years ago