Since AB = AC ....the angles opposite these sides are also equal...
So y = [ 180 - 24 ] / 2 = 156 / 2 = 78°
b^2 - 4ac = the discriminant....correct....!!!!
If ZAX is equilateral and has a perimeter of 30, then XA must = 10
So...ZA must also = 10
Note that angle ZAX = 60...so angle LAZ = 90 - 60 = 30
And we can find LA thusly :
cos LAZ = LA / ZA
cos (30) = LA / 10
10 cos (30 ) = LA
10 √3/2 = LA = 5√3
So....the area of FLAX = XA * LA = 10 * 5√3 = 50√3 units^2
We have the following ratio
25 / 15 = [7x - 40 ] / 18 cross-multiply
18 * 25 = 15 * [ 7x - 40] simplify
450 = 105x - 600 add 600 to both sides
1050 = 105x divide both sides by 105
10 = x
1
P (Red or Blue) = P(Red) + P (Blue) - P (Red and Blue) =
6/16 + 4/16 - 0 / 16 =
10/16 =
5/8
2 Don't know the answer, NSS
3
The numbers 12 36 and 24 are multiples of 3 and 4
And we have 8 total numbers....so the probability is 3/8
circle :
"Produced by the equation x^2 + y^2 = 16 "
4. Don't know the answer here, NSS
5. Probability = area of smaller circle / area of larger circle =
pi * (3)^2 / [ pi * (12)^2 ] = 9 / 144 = 1 / 16
I don't see any question, Manuel....
Correct....!!!
We can use the Law of Cosines, here
JK = sqrt [ 3^2 + 5^2 - 2(3)(5)cos (62) ]
JK = sqrt [ 34 - 30cos(62) ] ≈ 4.46 mm ≈ 4.5 mm
