By definition a function can have only one value of y for any given value of x.
Since B. contains both (-1,2) and (-1,0), y has two values for the same value of x and thus B. cannot be a function...
If we have a cylinder with a smaller height than diameter, the height is our constricting measurement. This means that our sphere's max diameter is 12 inches.
Solving for the volume of a sphere with diameter of 12 inches:
4/3 * pi * r^3
4/3 * 3.14 * 6^3
volume = 904.32 cubic inches
Answer: x = -2
Step-by-step explanation:
The original problem is 3(14-5x) = 72. First, multiply 3 by the contents of the parentheses:
42 - 15 x = 72
Next, subtract 42 from each side:
-15x = 30
Now divide both sides by -15:
X = -2
Answer:
B. (6√2 + 12) inches
Step-by-step explanation:
The length of the kite edge at upper left is ...
x/sin(45°) = x/(1/√2) = x√2
The length of the kite edge at upper right is ...
x/sin(30°) = x/(1/2) = 2x
The perimeter of the kite is double the sum of the lengths of these edges:
P = 2(x√2 +2x) = 2x(√2 +2)
For x=3 in, this is ...
P = 2·(3 in)(√2 +2)
P = (6√2 +12) in
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The sine of an angle is the ratio of the side opposite to the hypotenuse. Here, the side opposite is x, and the hypotenuse is the kite edge of interest.
x/hypotenuse = sin(angle)
hypotenuse = x/sin(angle) . . . . . solve for hypotenuse
122 students is 40% of 305 students!! :)
