Answer:
891 cm³
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = Ah ( A is the area of cross- section and h is the height (
The cross- section is a trapezium with area (A) calculated as
A = 
h ( a + b)
where h is the perpendicular height and a, b the parallel bases
Here h = 9, a = AB = 14 and b = CD = 8 , thus
A = × 9 × (14 + 8) = 4.5 × 22 = 99 cm² , thus
V = 99 × 9 = 891 cm³
Answer:
Step-by-step explanation:
This can be simplified by combing like terms.
8x^2 and 15x^2 are like terms. Since both numbers are positive, we add them together.
The sum of 8x^2 and 15x^2 is 23x^2
I hope this helps.
Y = 2x + 1
y = 2x - 1
so the 1st one has a y int of 1 and the second one has a y int of -1...so the original line will shift down 2 units
Answer:
All shapes except the cone with 5in radius and 8in height
Step-by-step explanation:
Volume of the cylinder with radius 5in and height 8in is expressed as;
V = πr²h
V = 3.14*5²*8
V = 3.14*25*8
V = 628 square inches
The volume of the cylinder is greater than 500in³
Volume of the cone with radius 5in and height 24in is expressed as;
V = 1/3πr²h
V = 1/3*3.14*5²*24
V = 3.14*25*8
V = 628 square inches
The volume of the cone is greater than 500in³
Volume of the spheree with radius 5in is expressed as;
V = 4/3πr³
V = 4/3π(5)³
V = 4/3 * 3.14 * 125
V = 523.33 square inches
The volume of the sphere is greater than 500in³
Answer:
Step-by-step explanation:
Convert 6 feet to inches 6(12) = 72
convert 71/2 feed to inches 7.5(12) = 90
90 - 18 = 72
18 inches.
