Answer:
Step-by-step explanation:
<u><em>Length</em></u>
1 inch = 25 feet
7 1/4 inches = x feet
1 * x = 25 * 7 1/4
x = 25 * 7.25
Length = 181.25 feet
The length is 181.25
<em><u>hypotenuse length</u></em>
The diagonal = 10 1/2 inches
The diagonal = 10.5 inches
hypotenuse = 10.5 * 25 = 262.5 feet
<em><u>Width</u></em>
L^2 + W^2 = Diagonal^2
181.25² + W² = 262.5²
32851.5625 + W² = 68906.25 Subtract 32851.5625 from both sides
W² = 68906.25 - 32851.5625
W^2 = 36054.6875 Take the square root of both sides
W = 189.88
<u><em>Area</em></u>
Area = L * W
Area = 181.25 * 189.88
Area = 34415.88 square feet.
Answer:
2160 cm³/hour
Step-by-step explanation:
By default, we know that the volume of a cube is given as s³
Thus, the Volume function, V = s³
When we differentiate with respect to time we have
dV/dt = 3s² (ds/dt), where ds/dt = 0.2
Then we go ahead and substitute all the given parameters
dV/dt = 3 x 60 x 60 x 0.2
dV/dt = 10800 * 0.2
dV/dt = 2160 cm³/hour
This means that the volume decreases by a rate of 2160 cm³/hour at the instant its edge is 60 cm
Answer:
14.13 in³
Step-by-step explanation:
Volume of a ball (sphere) is:
V = ⁴/₃ π r³
Circumference of a ball (circle) is:
C = 2π r
Use the circumference to find the radius.
9.42 in = 2π r
r = 1.50 in
Use the radius to find the volume:
V = ⁴/₃ π (1.50 in)³
V = 14.13 in³
Answer:
T= I x 60 to get minutes(convert to hours if needed)
Step-by-step explanation:
This will get you the amount of time it takes depending on the tracks
Answer:
r = 5 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
We are given the circumference
10 *pi = 2 * pi *r
Divide each side by 2 *pi
10 pi/ 2 pi = 2*pi*r/2pi
5 =r
