First thing that needs to be done is to calculate for the area of the base which is in form of a square. The area is square is calculated through the equation,
A = s²
where A is area and s is the length of the sides.
Substituting the known values,
A = (756 ft)²
A = 571,536 ft²
The prism in which this pyramid can be enclosed has a volume that can be calculated through the equation.
Volume = area of base x height
Substituting,
Volume = (571,536 ft²)(480 ft)
Volume = 274337280 ft³
The volume of the pyramid is equal to one-third (1/3) of the volume of the prism. Thus,
Volume of pyramid = (274337280 ft³) / 3
Volume of pyramid = 91445760 ft³
Thus, the volume of the pyramid is equal to 91,445,760 ft³.
5(x + 3) + 9 = 3 (x - 2) + 6
5x + 15 + 9 = 3x - 6 + 6
5x + 24 = 3x
5x - 3x = -24
2x = -24
x = -24/2
x = - 12
Answer: Choice A
Proof:
Replace x with 1 and y with 2. This is because (x,y) = (1,2) so x = 1 and y = 2.
Doing both replacements and simplifying leads to...
2*x - y = 0
2*1 - 2 = 0
2 - 2 = 0
0 = 0
That confirms (x,y) = (1,2) is a point on the line.
It confirms (1,2) is a solution to the equation.
Answer:A polynomial added to a polynomial also still gives a polymonial
Answer:
Step-by-step explanation:
The diameter equals the side length of the outer square. The radius of the circle is √2. The diameter of the circle would be
2 × radius = 2 × √2 = 2√2
The area of a square is expressed as length^2. This means that the area of the outer square would be
( 2√2)^2 = 4×2 = 8
The area of the circle is expressed as πr^2. Therefore, the area of the circle would be
π×√2^2 = 2π = 2×3.14 = 6.28
Looking at the inner square, to find the length of the base, we would apply Pythagoras theorem.
√2^2 = base^2 + 1^2
2 = base^2 + 1
base^2 = 2 -1 = 1
base = √1
Area of the inner square would be
√1^2 = 1
Total shaded area would be
6.28 - 1 = 5.28
The probability that the dart will land on the shaded area is
5.28/8 = 0.66