<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:
<u>12.2</u>
Step-by-step explanation:
100 - 20% = 80%, 80% - 5 = -42, -42 - 8 = <u>-12.2</u>
I believe The answer is B 40
The amount of bill is $43.15
Step-by-step explanation:
Given,
Current meter reading = 25,789 kWh
Reading on last bill = 25,350 kWh
Reading for the month = Current meter reading - Last month bill reading
Reading for the month = 25789 - 25350 = 439kWh
Cost per kWh = $0.0983
Cost of 439 kWh = 0.0983*439 = $43.1537
Rounding off to nearest hundredth
Cost of 439 kWh = $43.15
The amount of bill is $43.15
Keywords: subtraction, multiplication
Learn more about subtraction at:
#LearnwithBrainly
Hi I want the points thanks
