Answer:
9 inches
Step-by-step explanation:
The formula for the volume of a rectangular pyramid is 
- Here we have volume (V), base (L), and width (W)
- V = 360 in³, L = 12 in, W = 10 in
We need to manipulate the volume equation to solve for the height (H)
- First we need to multiply both sides by 3 to get rid of the fraction: 3V = L×W×H
- Then we need to divide both sides by (L×W) to get:
Now we can plug in the given values:
- The height is 9 inches
The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
(h, k) is the center.
So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25
Answer:
It takes the frog 7 hours to get out of the well.
Step-by-step explanation:
We know that the well is 11 feet deep and the frog can climb 3 feet per hour.
Each time it climbs, it rests for an hour, and decreases its height by 1 foot.
So, if the frog reaches 3 feet in the first hour, then in the next hour it is 2 feet.
Lets calculate with the same pattern:
1st hour: 3 feet
2nd hour:
feet
3rd hour:
feet
4th hour:
feet
5th hour:
feet
6th hour:
feet
5th hour:
feet
6th hour:
feet
7th hour:
feet
Therefore, it takes the frog 7 hours to get out of the well.
Answer:
The second number line represent the location of 3N values.
Step-by-step explanation:
The first number line represent the inequality <em>N</em> > 3.
Now, the new number is 3<em>N</em>.
Consider the second number line values:
3N = {12, 15, 18, 21, ....}
The second number line represent the location of 3N values.
Answer:
There is a 2/3 probability that the other side is also black.
Step-by-step explanation:
Here let B1: Event of picking a card that has a black side
B2: Event of picking a card that has BOTH black side.
Now, by the CONDITIONAL PROBABILITY:

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.
⇒ P (B1 ∩ B2) = 1 /3
Also, Out if total 6 sides of cards, 3 are BLACK from one side.
⇒ P (B1 ) = 3 /6 = 1/2
Putting these values in the formula, we get:

⇒ P (B2 / B1) = 2/3
Hence, there is a 2/3 probability that the other side is also black.