Answer:

Step-by-step explanation:
Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.

["a" is the base, and "x" and "y" are the exponents]
Using this we find...

When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.

Using this we find...

Answer:
15.13
Step-by-step explanation:
To find diameter, divide circumference by pi or 3.14
I'm going to change the fraction to a decimal, so 47.5
47.5/3.14 = 15.1273885
Round to nearest hundredth gives you 15.13
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°
The nonpermissible replacement is a value that make the denominator equal to zero
Answer:
51.9
Step-by-step explanation:
because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).