<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.
4n-3=4n-2 subtract 4n from both sides
-3=-2
Since -3!=-2, there is no solution.
So your answer is a.
Answer:
about 18.85 cubic inches of ice cream can fit inside the cone
Step-by-step explanation:
To understand this, you will need to know the formula for a cone's volume which is
πr^2 times h/3
h being the height of the cone
to clarify the equation is pi (3.14) times the radius squared (which means you put it to the power of 2) and you multiply it by the height divided by 3.
Step by step:
π(1.5)^2 times 8/3
put it in a calculator and solve
round according to the problem
hope it helps
There are 52 weeks in a year so multiply 356.78 by 52 and you get a yearly salary of 18,552.56 (she probably didnt went to college)
Answer:
The answer would be C
Step-by-step explanation:
The only logical reason would be positive because the parabola is opening up. The average rte of change is opening 0.5 per square