The property that justifies multiplying through eqn(2) by -2 is;
the rationalization to align the coefficients of x in both equations with a view to eliminating the terms in x.
Answer:
x=33
Each base angle measures 69 degrees
Step-by-step explanation:
the 2 base angles are equal so the measure of 1 base angle = (180 - 42) / 2
= 69 degrees
2x + 3 = 69
2x = 66
x = 33
SIN(x) = .7547
X = INVERSE-SIN(.7547)
X = 49.0 degrees
The greatest factor of 60 and 75 is 15.
Reasoning: I found the factors and prime factorization of 60 and 75. The biggest common factor number is the GCF number. So the greatest common factor 60 and 75 is 15.
Answer:
Height of the fighter plane =1.5km=1500 m
Speed of the fighter plane, v=720km/h=200 m/s
Let be the angle with the vertical so that the shell hits the plane. The situation is shown in the given figure.
Muzzle velocity of the gun, u=600 m/s
Time taken by the shell to hit the plane =t
Horizontal distance travelled by the shell =u
x
t
Distance travelled by the plane =vt
The shell hits the plane. Hence, these two distances must be equal.
u
x
t=vt
u Sin θ=v
Sin θ=v/u
=200/600=1/3=0.33
θ=Sin
−1
(0.33)=19.50
In order to avoid being hit by the shell, the pilot must fly the plane at an altitude (H) higher than the maximum height achieved by the shell for any angle of launch.
H
max
=u
2
sin
2
(90−θ)/2g=600
2
/(2×10)=16km
