Answer:
The answer to your question is only the second and the third are factors.
Step-by-step explanation:
Find the factors of 24x⁶ − 1029y³
First find the prime factors of 24 and 1029
24 2 1029 3
12 2 343 7 Then 24 = 2³3
6 2 49 7 1029 = 7³ 3
3 3 7 7
1 1
x⁶ = (x²)³ y³ = y³
Then
2³3(x²)³ - 7³ 3 y³
Factor 3 3[ 2³(x²)³ - 7³ y³]
Factor 3 [ (2x² - 7y)(4x⁴ + 14x²y + 49y²)]
Then
24
2x2 + 7y
4x4 + 14x2y + 49y2
All of the above
Answer:
953.78 in^3 of grain.
Step-by-step explanation:
The volume of a cylinder = π r^2 h.
For this cylinder r = radius of the base = 9/2
= 4.5 in and the height h = 15 in
So the volume is 3.14 * 4.5^2 * 15
= 953.78 in^3.
Answer: Height of the water is 20 cm.
Step-by-step explanation:
Since we have given that
Base area = 100 square cm
volume of vase shaped like an octogonal prism = 2 liters
We need to find the height of water.
and 1 liter = 1000 cm³
2 liters = 2×1000 cm³
As we know the formula for "Volume":
Hence, height of the water is 20 cm.
9514 1404 393
Answer:
23) 35.77 in²
25) 48.19 cm²
Step-by-step explanation:
Use the appropriate area formula with the given information.
__
23) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . base b, height h
A = 1/2(9.8 in)(7.3 in) = 35.77 in²
__
25) The area of a parallelogram is given by the formula ...
A = bh . . . . . . base b, height h
A = (7.9 cm)(6.1 cm) = 48.19 cm²
_____
The <em>height</em> in each figure is <em>measured perpendicular to the base</em>. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.
