Answer:
The correct answer is the basket ball is 54.87 times bigger in volume than the tennis ball.
Step-by-step explanation:
The diameter of a basketball is approximately given to be 9.5 inches.
The radius of the basket ball is given by 
= 4.75 inches.
The volume of the basket ball is given by = 
× π × 
= 449.1012 cubic inches.
The diameter of a tennis ball is approximately given to be 2.5 inches.
The radius of the tennis ball is 
= 1.25 inches.
The volume of the tennis ball is given by = × π × = 8.1845 cubic inches.
Ratio between the volume of the basketball and tennis is given by 
= 54.87.
Thus the volume of the basket ball is 54.87 times greater than the volume of the tennis ball.
Answer:
<h2>The percentage of the people invited attended the fundraising event is <u>6</u><u>9</u><u>.</u><u>3</u><u>3</u><u>%</u>.</h2>
Step-by-step explanation:
To find the percentage of those who attended the fundraising event, simply divide the number of attendees to the total number invited.
Answer:
The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal
Answer:
the one you've selected pink, (the one that looks like a U)
Step-by-step explanation:
if you can pass a vertical line through a supposed function and have it only cross once, it's a function.
<h3>
Answer: A. 18*sqrt(3)</h3>
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Explanation:
We'll need the tangent rule
tan(angle) = opposite/adjacent
tan(R) = TH/HR
tan(30) = TH/54
sqrt(3)/3 = TH/54 ... use the unit circle
54*sqrt(3)/3 = TH .... multiply both sides by 54
(54/3)*sqrt(3) = TH
18*sqrt(3) = TH
TH = 18*sqrt(3) which points to <u>choice A</u> as the final answer
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An alternative method:
Triangle THR is a 30-60-90 triangle.
Let x be the measure of side TH. This side is opposite the smallest angle R = 30, so we consider this the short leg.
The hypotenuse is twice as long as x, so TR = 2x. This only applies to 30-60-90 triangles.
Now use the pythagorean theorem
a^2 + b^2 = c^2
(TH)^2 + (HR)^2 = (TR)^2
(x)^2 + (54)^2 = (2x)^2
x^2 + 2916 = 4x^2
2916 = 4x^2 - x^2
3x^2 = 2916
x^2 = 2916/3
x^2 = 972
x = sqrt(972)
x = sqrt(324*3)
x = sqrt(324)*sqrt(3)
x = 18*sqrt(3) which is the length of TH.
A slightly similar idea is to use the fact that if y is the long leg and x is the short leg, then y = x*sqrt(3). Plug in y = 54 and isolate x and you should get x = 18*sqrt(3). Again, this trick only works for 30-60-90 triangles.
