Answer:
4.2 and 4.3
Step-by-step explanation:
Your saying you want all 5 of these questions answered?
Answer: R204.06
Step-by-step explanation:
Cost of clock = R179
Value Added Tax = 14%
The price of the clock will be the addition of the cost of the clock and the value added tax. This will be:
= R179 + (14% × R179)
= R179 + (0.14 × R179)
= R179 + R25.06
= R204.06
Therefore, the price of the clock is R204.06.
<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.
When x = 1, y = (5 - 3) / -2 = -1 , let x1 = 1 and y1 = -1
2y = 3x - 5
so slope = 3/2
y - y1 = m(x - x1)
y -(-1) = (3/2)(x - 1)
y + 1 = 3/2 ( x - 1) <----- answer
