Answer:
V = 115.3 ft³
Step-by-step explanation:
The left part of the figure shows a cube of side length 4.2 ft. The volume of a cube is V = s³, where s is the side length. Hence, the volume of this particular cube is V = (4.2 ft)³ = 74.088.
The volume of a pyramid is V = (1/3)(base area)(height).
Here V = (1/3)(4.2 ft)²(7 ft) = 41.16 ft³.
Summing up the two distinct areas, we get V = 41.16 ft³ + 74.088 ft³, or
V = 115.3 ft³ after rounding up to the nearest tenth.
Answer:
FOIL: 
(3x + 5y)(3x+5y)
F: 3x*3x
O: 3x*5y
I: 5y*3x
L: 5y*5y
Step-by-step explanation:
Answer:108.33, assuming that the wood fence goes around the garden and doesn’t cut across it as well
Step-by-step explanation: 4.5 times 2 times pi to find circumference. Divide by 2 because it is only half of garden. Times by 12 to convert to inches. Divide by 36. Multiply by 23.
Answer:
2 irrational solutions.
Step-by-step explanation:
6p^2 = 8p + 3
0 = -6p^2 + 8p + 3
The roots are:
p = (2/3) - (8.5)^(1/2)/3, and
p = (2/3) + (8.5)^(1/2)/3
These are irrational numbers.
There are 2 irrational solutions.
Answer:
15 Kg cm²
Step-by-step explanation:
Given that V varies inversely with P then the equation relating them is
V = 
← k is the constant of variation
To find k use the condition
V = 360, P = 20, then
360 = 
( multiply both sides by 20 )
k = 7200
V = 
← equation of variation
When V = 480, then
480 = ( multiply both sides by P )
480P = 7200 ( divide both sides by 480 )
P = 15
