Answer: 28.26 ft
Step-by-step explanation:
The formula to calculate the length of arc is:
Where:
is the radius of the circle
is the angle in radians
This is the length of the arc
Let's assume that the parabola has the following intersections with the x axis:
x1 = p
x2 = q
To find the equation of the parabola, we write the following product of binomials:
(x-p) (x-q) = 0
Where,
p, q: intersections with the x axis.
When developing the product of binomials, we obtain the equation of the parabola.
Answer:
(x-p) (x-q) = 0
Answer:
77:56:48
77:48
Step-by-step explanation:
If x:y=11:8 and z:y=6:7
then;
x/y = 11/8 and z/y = 6/7
11y = 8x and 6y = 7z
x = 11y/8 anad z = 6y/7
Hence;
x:y:z
= 11y/8:y:6y/7
= 11/8:1:6/7
= 11/8 * 7/6
= 77:56:48
x:z = 11y/8:6y/7
x:z = 11/8:6/7
x:z = 77:48
3. (a.)
<span>Volume of block = 20 cm x 9 cm x 8 cm = 1440 cm^3 </span>
<span>(b.) </span>
<span>Volume of cylinder = pi * (radius)^2 * (height) </span>
<span>Plugging dimensions in: </span>
<span>Volume = pi * (10 cm/2)^2 * (15 cm) </span>
<span>= pi * (5 cm)^2 * (15 cm) </span>
<span>= 1178 cm^3 to the nearest centimeter </span>
<span>(c.) </span>
<span>Remaining volume = 1440 cm^3 - 1178 cm^3 = 262 cm^3 </span>
<span>Volume of cube = side^3 = 262 cm^3 </span>
<span>Taking cube root, side = 262^(1/3) = 6 cm to the nearest cm</span>
Answer:
D
Step-by-step explanation: