Hi!
(l = Lenny
m = Max)
Lenny is 3 times as old as Max.
3m = l
When you subtract Max's age from Lenny's age, you get 24.
L - m = 24
Put in the value of l.
3m - m = 24
There is our equation.
Now solve
2m = 24
2m/2 = 24/2
m = 12
3 * 12 = l
36 = l
The equation is 3m - m = 24
Max is 12 and Lenny is 36.
Hope this helps! :)
-Peredhel
P(P|K) = 82.6%.
P(P|K) = P(K and P)/P(K) = 1.9%/2.3% = 0.019/0.023 = 0.8261 = 82.6%
Answer:
height = 5cm
Step-by-step explanation:
Volume of the cuboid = length x breadth x height
7500 = 25 x 60 x height
height = 7500 / 1500
height = 5
Answer:
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Step-by-step explanation:
Congruent angles are equal, so m<2 = m<3
4x - 26 = 3x + 4
x = 30
m<2 = 4x - 26 = 4(30) - 26 = 94 degrees
m<3 = 3x + 4 = 3(30) + 4 = 94 degrees
Answer:
B
Step-by-step explanation:
You are given two sides and the included angle, so you need to use the law of cosines.
c² = a² + b² - 2ab cos C
c² = 12² + 13² - 2(12)(13)cos 134°
c² = 313 - 312(-0.6947)
c² = 529.733
c = 23.016
Now use the law of sines.
c/sin C = a/sin A
23.016/sin 134° = 12/sin A
sin A = 12 × sin 134° / 23.016
sin A = 0.37504
A = 22.03°
B = 180° - 134° - 22.03°
B = 23.97°
m<A = 22°; m<B = 24°; c = 23 km
Answer: B
