Answer:
-2x-5
Step-by-step explanation:
Imagine cutting out the tilted side of the cylinder such that the cylinder becomes vertical on that side, then sticking the piece that you previously cut out to the opposite side. This will form a vertical cylinder exactly.
Formula for volume of cylinder:
Base area × Height
= Area of circle × Height
= pie × radius^2 × Height
{Radius of circle, as indicated in the question, is 4, and height is 6}
= pie × (4)^2 × 6
= pie × 16 × 6
= pie × 96
= 96pie units^3 {Again, this question does not have units written down for each number, so write down the word "units" instead, and with a power of 3 since this is a volume.}
Hope this helps!
The formula for area of a circle is π × radius², and the radius is half of the diameter, which means that your final expression is π × 6² = 36π = 113.1 inches². I hope this helps!
Answer:
The angle of elevation of the ramp is 64.60°
Step-by-step explanation:
Given;
length of the ramp, L = 35 ft
distance of the platform to the foot of the ramp, d = 15 ft
The length of the ramp forms the hypotenuse side of this right angled triangle;
The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.
Cos x = adjacent / hypotenuse
Cos x = 15 / 35
Cos x = 0.4286
x = Cos⁻¹ (0.4286)
x = 64.62
x = 64.60°
Therefore, the angle of elevation of the ramp is 64.60°
