Answer:
400 passengers
Step-by-step explanation:
To solve the problem, a proportion would be best!
First, let's set up the left side of the proportion. Percents, when used in parts, are always part of 100%, making 100% a whole. We'll use both 10% and 100% as our first fraction, which should look something like this:
(with <em>p </em>standing for <em>part </em>and <em>w</em> standing for the <em>whole</em>)
Next, let's set up the right side of our proportion. We'll use the 40 for our part and x for our whole since that is the number we are solving for. The proportion should now look like this:
To solve, just cross multiply and divide! Multiply 40 by 100 to give you 4,000. Next, divide 4,000 by the remaining 10 to give you a final answer of 400. If 40 passengers on the flight are in first class, then there are 400 total passengers. Hope this helps!
Answer:
512 in³
Step-by-step explanation:
The height perpendicular to the base is the leg of a right triangle with hypotenuse 10 in and other leg 8 in. Using the Pythagorean theorem, we can find it as ...
h² +8² = 10²
h² = 100 -64 . . . . . subtract 8²
h = 6 . . . . . . . . . . . . take the square root of 36
Then the volume is found using ...
V = (1/3)Bh = (1/3)(16 in)²(6 in) = 512 in³
The volume is 512 cubic inches.
_____
The 8-inch dimension used above comes from half the distance between the center of one side of the base to the center of the opposite side. (16 in)/2 = 8 in.
Which of the following relationships represents a function?
Answer: B
Answer:
-1/81
Step-by-step explanation:
-27^-4/3
cbrt(-27^-4)
cbrt(-1/531441)
-1/81
The longest side is 5/(5+3+4) = 5/12 of the perimeter, hence
(5/12)*156 cm = 65 cm . . . . . the length of the longest side
