<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:
1). y = -7/5x - 4
2). y = 1/5x - 5
Step-by-step explanation:
In this question, we have to write the slope-intercept form of the given information.
Slope intercept form is: y = mx + b
Our "m" value is our slope and our "b" value is our y-intercept.
With that knowledge, we can plug in our given information to the slope-intercept equation:
1) slope = -7/5, y-intercept = -4
Plug -7/5 to "m" and -4 to "b"
y = -7/5x - 4
2) slope = 1/5, y-intercept = -5
Plug 1/5 to "m" and -5 to "b"
y = 1/5x - 5
Answer:
I dont really do this kind of work but i think its A
Step-by-step explanation:
The answer is A. You just need to add 117,000 + 71,500= 184,500. Is this answer fine?
