# Tutor profile: Irvin O.

## Questions

### Subject: Trigonometry

Using sine law and cosine law, find the value of the missing side of the triangle given the sides B = 14 and C = 8, with angle c = 22.075.

If we analyze the given, we can get the first missing angle using sine law. (Sine b) / B = (Sine c) / C Sine b = (B)(Sine c) / C Sine b = (14)(Sine 22.075) / 8 Sine b = 0.658 b = Sine^-1 (0.658) b = 41.124 Second step; we know that the sum of all angles of the triangle is equal to 180. Therefore; a + b + c + 180 a = 180 - b - c a = 180 - 41.125 - 22.075 a = 116.800 Last, we can now use the cosine to solve for the missing side A. A^2 = B^2 + C^2 - 2ABcos(a) A^2 = 14^2 + 8^2 -2(14)(8)cos(116.800) A^2 = 360.997 A = sq.rt of 360.997 A = 19 The answer is: 19

### Subject: Geometry

Find the lateral area of the cone with an altitude of 15mm and base radius of 4mm? Use: LA = 3.14(r)(SL), SL refers to slant height.

Given the equation to use, we have missing data which is the SL. But if we analyze the question, we can find it from the given altitude and base radius by just using the PYTHAGOREAN FORMULA: a^2 + b^2 = c^2... let say: a = altitude and b = base radius. Then, c will be the SL. a^2 + b^2 = c^2 15mm^2 + 4mm^2 = c^2 c^2 = 241 c = 15.52m = SL, substitute the values to the LA formula LA = 3.14(r)(SL) LA = 3.14(4mm)(15.52mm) LA = 194.93mm^2

### Subject: Algebra

Find the value of the slope and y-intercept from the formula " 4y + 2x = 8 "

We know that the formula is derived from slope-intercept formula, " y = mx + b ", where "m" is the slope and "b" is the y-intercept. First, we have to convert the formula to its original form: 4y + 2x = 8 4y = -2x + 8, then simplify it: y = (-2x + 8) / (4) y = -(1/2)x + 2 therefore; the value of slope(m) = -1/2 and y-intercept(b) = (0,2)

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