Draw an equilateral triangle FGH so that FH is the horizontal base. Draw a vertical line GR from G to line FH to represent the height of the triangle.
Let a = length of a side of the equilateral triangle (all sides are equal).
Each angle is 60° because the three angles add up to 180°.
Let h = GR, the height of the triangle.
Because the triangle is equilateral, triangle FGR is a right triangle, with
m∠F = 60° ,
m∠R = 90°,
FG = a.
By definition,
sin(F) = h/a
That is,
h = a*sin(F) = a*sin(60) = a*(√3/2).
Answer:
The height of the equilateral triangle is (a/2)√3,
where a = length of a side of the triangle.
The rule about negative exponents is that you put the base under "1" in a fraction and the negative exponent becomes positive. For example,
becomes
. So in your case,
Linear Equations produce straight lines when graphed.
Linear Function is an algebraic equation in which each term is either a constant or the product of a constant and (the first power of) a single variable.
Answer:
55,440 ways
Step-by-step explanation:
In this situation, since the bonuses are different, the order of the sales reps receiveing the bonus matters, thus permutations should be used.
The number of ways to pay the bonuses in office A (pick 3 out of 12) is:
The number of ways to pay the bonuses in office B (pick 2 out of 7) is:
Considering both offices, the number of ways to pay out the bonuses is:
Answer:
∠BJK ≅ ∠CFH
Step-by-step explanation:
∆BJK ≅ ∆CFH then we say ∠BJK ≅ ∠CFH
Only when we say ∠BJK ≅ ∠CFH we can say (expand) and speak of lengths by comparing two of each ∠BJA ≅ ∠AFC whilst ∠BK≅ ∠ HC then repeat with∠BKJ ≅ ∠CHF etc.
