Answer:
Y = 15sqrt(3)/4
Z = 15sqrt(3)/2
b = 45/4
Step-by-step explanation:
Sin(60) =Z/15
sqrt(3)/2 = Z/15
Z = 15sqrt(3)/2
Sin(30) = Y/Z
½ = Y/Z
Y = ½(15sqrt(3))/2 = 15sqrt(3)/4
Cos(30) = b/Z
sqrt(3)/2 = b/Z
b = 15sqrt(3)/2 × sqrt(3)/2
b = 45/4
sqrt is square root/radical
7x^2 - 16x - 8 = 0
using the quadratic formula x = [ -(-16)+/- sqrt((-16^2 - 4*7-8] / 2*7
= (16 +/1 sqrt 480) / 14
= 2.71, -0.42 to nearest hundredth
Answer:
The lcm is 48. Hope this helps
Hello,
Answer:
The last graph (2;3)
Step-by-step explanation:
2x + 3y = 12
2x – 3y = 0
2x + 3y = 12
2x = 3y
3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2
2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3