Answer:
2144.66in³
Step-by-step explanation:
Radius = 8 inches.
To determine the amount of sphere to make the ball, we'll have to find its volume.
Volume of a sphere = 4/3 * Πr³
V = 4/3*Πr³
Π = 22/7
V = 4/3 * 22/7 * 8³
V = 2144.66inches³
V = 2144.66in³
The amount of plastic required is 2144.66in³.
Explanation:
The Law of Sines is your friend, as is the Pythagorean theorem.
Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.
Then we have from the Pythagorean theorem ...
b² = 4² +(2√2)² = 24
b = √24
From the Law of Sines, we know that ...
b/sin(60°) = a/sin(θ)
y/sin(45°) = a/sin(φ)
Solving the first of these equations for "a" and the second for "y", we get ...
a = b·sin(θ)/sin(60°)
and ...
y = a·sin(45°)/sin(φ)
Substituting for "a" into the second equation, we get ...
y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)
So, we need to find the value of the coefficient ...
b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)
= √(24·2/3) = √16 = 4
and that completes the development:
y = 4·sin(θ)/sin(φ)
Answer:
What exactly is your question?
Step-by-step explanation:
8-7=1 3-4=1 5-2=3 So it is 311.
Answer:
The answer is 1/2 which i think that's what you meant from C.
Step-by-step explanation:
A standard deck of cards has 52 cards. 13 of these cards are spades and 13 are diamonds.
