Answer:
5.5 mph
Step-by-step explanation:
Answer:
the ramp must be lowered
Step-by-step explanation:
Use the definition of the sine function to find the height of a ramp that is 8°.
Sine = Opposite/Hypotenuse
sin(8°) = height/8
height = 8×sin(8°) = 1.11
The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.
The ramp must be lowered.
Hey!
so first distribute the 5 to x + 4
5x+20 = 2x + 20 + 2x
combine 2x and 2x
5x+20 = 4x + 20
Now you want the constant and variable on different sides so subtract 4x to the other side
5x - 4x + 20 = 20
1x + 20 = 20
now subtract the 20 on the 1x + 20 side to the other side
1x = 0
divide by 1
0 divided by anything is 0
So x = 0
Hope this helps!
To solve this problem, let us first assign some variables.
Let us say that:
v1 = velocity of airplane = 180 mph
t1 = time travelled by airplane
v2 = velocity of jet = 330 mph
t2 = time travelled by jet
Since we know that distance is the product of velocity and
time, and that the distance travelled by the two must be equal for the jet to
catch up to the plane, hence:
v1 * t1 = v2 * t2
But we know that:
t1 = t2 + 1
Therefore:
180 (t2 + 1) = 330 t2
180 t2 + 180 = 330 t2
150 t2 = 180
t2 = 1.2 hours
<span>Therefore the jet can catch up to the plane after 1.2
hours it takes off.</span>
