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:
Answer:
23
Step-by-step explanation:
All triangles = 180 degrees
65 + 4x + x = 180
65 + 5x = 180
- 65 - 65
----------------------
5x = 115
--- = ----
5 = 5
x = 23
4(23) = 92
F = x = 23
B> 65
92 + 23 + 65 = 180
x = 23
F> = B>
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
Answer:
V = 120 cm^3
Step-by-step explanation:
The volume is
V = BH where B is the base and h is the height
The base is the triangle
B = 1/2 (bh)
B = 1/2 6*4
B = 12
V = 12* 10
V = 120 cm^3
