Answer:
−6y+13
Step-by-step explanation:
jsjsdjidedhue
Since every figure repr. an equil. triangle, each of the angles shown is 60 deg.
Thus, the height of one of the shaded triangles is s sin 60 deg, or s/sqrt(3).
The base of one such triangle is s/3.
Thus, the area of ONE shaded triangle is A = bh/2, which here is
(s/3)(s/sqrt(3) ) (s/3)(s)
A = ----------------------- = --------------------
2 2sqrt(3)
Rationalize the denom.: Mult numerator and denominator both by sqrt(3), and then mult the resulting numerator and den by 3:
sqrt(3) s^2/3 s^2*sqrt(3) s^2*sqrt(3)
----------- * ----------- = ----------------- = ----------------
sqrt(3) 2sqrt(3) 3*2*3 18
Unfortunately, this does not agree with any of the four answer choices.
Let's take a slightly different approach here:
Each (horizontal) base of each shaded triangle has length s/3. Each has height (s/3)sin(60 deg) = s*sqrt(3)/(3*2) = s*sqrt(3)/6.
[s/3]*[s*sqrt(3)]/6
Then each shaded triangle has area A = bh/2 = ----------------------------
2
and the total shaded area is three times that:
s^2 * sqrt(3) s^2*sqrt(3)
Total area = -------------------- = ------------------ (answer)
3*2 * 6 36
Answer:
A new airlines company is planning to start operations in a country. The company has identified ten different cities which they plan to connect through their network to start with. The flight duration between any pair of cities will be less than one hour. To start operations, the company has to decide on a daily schedule.
The underlying principle that they are working on is the following:
Any person staying in any of these 10 cities should be able to make a trip to any other city in the morning and should be able to return by the evening of the same day.
Answer:
The minimum and maximum
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
C)- 8, - 4 ) → C'(- 4, 8 )
D(0, - 4 ) → D'(- 4, 0 )
E(- 8, - 9 ) → E'(- 9, 8 )
