Trigonometry
If sin(α)>0, then 0<α<π. So α1 = asin(15/17)=1.0808 radians and α2 = π-α1.
French
While you're waiting for Mme Sra, you could make a review on the following: - If you abbreviate the church, you need to know what the omitted word (Basilique) is masculin or feminine. If you mean the official name of La Basilique du Sacré Coeur, then you should chan...
Algebra
Use the fact that the sum of the interior angles of a triangle is 180°. So x+(2x+24)+3x+48)=180. Solve for x.
Multiplication
"what is 1250* 2987" Let's do this mentally: 1250*2987 =29870000*0.125 =29870000/8 = 3733750
math
Note: Segment lengths BA and AB assumed to be equivalent in the following proof. BN/sin(BAN)=BA/sin(BNA) (sine rule) => BA/BN=sin(BNA)/sin(45) AC/sin(CNA)=NC/sin(45) (sine rule) => AC/NC=sin(CNA)/sin(45) Since sin(BNA)=sin(180-BNA)=sin(CNA) BA/BN=AC/NC, or CN/NB =AC/AB=t...
mathematics
Use the standard form of a linear equation: y=m(x-h)+k where m=slope=-3 (h,k)=a point through which the line passes (9,7)
algebra
Conventional algebra: x=number of small cups y=number of large cups form the system of equations x+y=155 2x+3y=335 Solve the system for x and y. Quick way by substituting directly: Let 155-x=number of large cups 2x+3(155-x)=335 Solve the linear equation for x. Faster way by me...
Statistics
Use binomial probability because: probability is known and does not change over the experiment, outcome is binomial (success or failure), each step of the experiment is similar, p=0.25 n=10 P(r)=number of question correct =nCr(p^r)(1-p)^(n-r) nCr = binomial coefficient = n!/((...
algebra 2
g(x) = 4x^4 + 4x^3 - 11x^2 -12x -3 =x²(4x²+4x+1)-3(4x²+4x+1) =(x²-3)(4x²+4x+1) =(x+√3)(x-√3)(2x+1)² => g(x)=0 has roots ±√3,-1/2 (twice)
Probability
Sample space is the set of all possible outcomes. If you pick one single marble from a bag filled with blue and yellow marbles, the only outcomes are Y=yellow marble, and B=blue marbles. So Ω = {Y,B}
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