Answer:
5√3 ft
Step-by-step explanation:
If the ladder is 10ft tall, then that represents the hypotenuse. If the foot of our ladder is 5ft away from the wall, that is a side length that we know. Using the Pythagorean Theorem, a²+b²=c², where a and b are side lengths of a right triangle, and c is the hypotenuse, we can solve for the missing side length:
a²+b²=c²
(5)²+b²=(10)²
25+b²=100
b²=75
b=√75
b=5√3
So the ladder will reach a height of 5√3 ft.
I'm not sure what you're supposed to round to, but since this is money, I would suggest including the dollar sign in front of the answers and including round to the hundredth's decimal place. Otherwise, you're answers are correct.
- (- 4) + 8 is the same as doing - 1(- 4) + 8 or - 1 x (- 4) + 8
Any negative times a negative becomes a positive so we just do 1 x 4 = 4.
4 + 8 = 12.
Your answer is 12.
Answer:
21.77
Step-by-step explanation:
Applying,
V = (4/3)π(R²-r²)³/²................. Equation 1
Where V = Volume of the resultant shape, R = radius of the sphere, r = radius of the hole bored, π = pie
From the question,
Given: R = 2, r = 1
Constant: π = 3.14
Substitute these values into equation 1
V = 4/3(3.14)(2²-1²)³/²
V = (12.56/3)(3)³/²
V = 4.19(5.196)
V = 21.77
