Answer: 25 in³
Step-by-step explanation:
We can calculate the volume of the pyramid by first calculating the volume of a prism with the same dimensions, and then dividing by 3 (all pyramids a volume that's
of the volume of a prism with the same dimensions).
The volume of a prism is its base area times its height. The base would be a square, so its area is 5², which is 25. The height is 3 inches, making the prism's volume 75 in³.
The volume of the pyramid would be one-third of this value, which is 75
which is 25 in³.
Answer:
![\frac{15+6}{10-3}](https://tex.z-dn.net/?f=%5Cfrac%7B15%2B6%7D%7B10-3%7D)
Step-by-step explanation:
Sum of 15 and 6 = 15 + 6
Difference of 10 and 3 = 10 - 3
So, the expression is
![\frac {15 + 6}{10-3}](https://tex.z-dn.net/?f=%5Cfrac%20%7B15%20%2B%206%7D%7B10-3%7D)
This is the required expression.
Answer:
0.35
Step-by-step explanation:
I hope its right!!!
- use sin (opp/hyp)
- Plug in values so: sin45=x/2
- Switch the sin45 and x place, they are "equal" in a sense
- Simplify in calculator
Answer:
Step-by-step explanation:
Start like this: x^2 - 6x = -7. Now you have the x terms on one side and the constant on the other. Take half the linear term (-6x) which is 3 and then square that (9) and add it to both sides, giving you x^2 - 6x + 9 = -7+ 9, or x^2 - 6x + 9 = 2. Now make the left side into the perfect square binomial you created by completing the square: (x-3)^2 = 2, and then move the 2 over to get: (x-3)^2 - 2. That's the vertex form for a parabola with a vertex at (3, -2)
Answer:
a. $4
b. Noah has 5/5. Elena has 4/5.
Step-by-step explanation:
Noah has $5.
a.
Elena has 80% of Noah's money.
80% of $5 = 0.80 * $5 = $4
b.
Noah has $5. We can consider $5 to be the full amount.
A full amount is 100% or 1 or 5/5.
Elena has 80% of Noah's money, so she has 80/100 of Noah's money.
80/100 reduces to 4/5.
Noah has 5/5, and Elena has 4/5.