<span>Exponential notation is an easier way to write a number as a product of many factors. ... Any number (except 0) raised to the zero power is equal to 1. 1490 = 1.</span>
<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.
Answer:please correct me if I’m wrong but I believe Part A for the slopes are…
1.3/1 or 3
2.-3
3.9/5
4.4/3
Step-by-step explanation:
It’s going up 3 and “running” 1 and it’s positive since the line is going up.
Y2-y1. -16-2
————= ————=-18/6=-3
X2-x1. 8-2
You’re just finding the slope
Solve for it. If further explanation is needed please tell me.
(10/n +6) -3
10/2+6-3
5+6-3
11-3
8
Hope this helped!
