Plz help me solve and show your work.
1 answer:
Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
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Answer:
20, 22, 28, 50
Step-by-step explanation:
The length and width could be:
1, 1, 24, 24
2, 2, 12, 12
3, 3, 8, 8
4, 4, 6, 6
1+1+24+24= 50
2+2+12+12= 28
3+3+8+8= 22
4+4+6+6= 20
Answer:
10010
Step-by-step explanation:
So gives us:
-----------------------------------------------------
Combine like terms:
We aren't allowed to have a coefficient bigger than 1.
I'm going to replace with 1 and
with
:
I want a number:
Combine like terms:
:
Combine like terms:
We can rewrite the first term by law of exponents:
So the binary form is:
Maybe you like this way more:
Keep in mind 1+1=10 and that 1+1+1=11:
Setup:
1 0 1 1
+ 1 1 1
------------------------------
(1) (1) (1)
1 0 1 1
+ 1 1 1
------------------------------
1 0 0 1 0
I had to do some carry over with my 1+1=10 and 1+1+1=11.