Answer:
Step-by-step explanation:
The volume of a pyramid is given by the formula ...
V = 1/3·B·h
where B represents the area of the base and h represents the height.
The area of a triangle is given by the formula ...
A = 1/2·b·h
where b represents the length of the base of the triangle, and h represents the height of the triangle.
For a right triangle, the base and height can be taken to be the lengths of the two legs. Then we have
A = 1/2·(15 cm)·(24 cm) = 180 cm²
The volume of the pyramid is then ...
V = 1/3·(180 cm²)(13 cm) = 780 cm³
The volume of the pyramid is 780 cm³.
Answer:
y = 3x + 6
Step-by-step explanation:
Slope-intercept is written as y = mx + b, in which m = slope and b = y-intercept
Answer:
D
Step-by-step explanation:
hope this helps. have a great day
Answer:
Step-by-step explanation:
We will find that the recursive relation for the sequence is:
How to determine a given sequence?
There is not a straightforward way of determining a sequence, we just need to try to see a pattern.
For example, if we analyze the first 3 terms:
3, 5, 12
We can see that the third number is equal to the product of the first two minus the first one:
3*5 - 3 = 15 - 3 = 12
Now let's see if this pattern remains true for any other set of 3 consecutive terms:
for 5, 12, 55 we have:
5*12 - 5 = 60 - 5 = 55
So the pattern remains.
Now let's see for the last 3.
12, 55, 648.
12*55 - 12 = 660 - 12 = 648
The pattern remains.
Then we can write a recursive relation as:
And because this relation depends on the two previous terms, we also need to specify the first two terms of the sequence, so we have:
If you want to learn more about sequences, you can read:
Answer:
the answer is x1 = -4- square root of 23 x2= -4+ square root of 23