Answer:
64°
Explanation:
The triangle is an isosceles triangles (both legs are equal to the radius of the circle), so that means the base angles are the same.
Angles of a triangle add up to 180°, so:
128 + 2x = 180
2x = 52
x = 26
∠1 is complementary to the base angle, so:
∠1 = 90 − 26
∠1 = 64
Given :
You drive 200 miles in 3 hours before stopping for lunch and gas. After lunch you travel 250 miles in an hour and a half.
To Find :
Average speed.
Solution :
We know, average speed is given by :

Therefore, average speed of the journey is 100 miles/hr.
Hence, this is the required solution.
Answer:
e. Object X has traveled four times as far as object Y.
Explanation:
The distance covered by an object in uniform accelerated motion is given by:

where
u is the initial velocity
t is the time
a is the acceleration
The two objects in the problem have same initial velocity, u = 0 (since they start from rest), so we can rewrite the equation as

We see that the distance covered is proportional to the square of the time. In this problem, the two objects X and Y have same acceleration, but object X accelerates for twice the time: since
, this means that the distance covered by X will be
times higher that the distance covered by object Y.
Answer:
Time, t = 10 seconds
Explanation:
Given the following data;
Mass = 10kg
Force = 10N
Final velocity = 10m/s
Initial velocity = 0m/s
To find the time;
First of all, we would find the acceleration of the box.
Force = mass * acceleration
10 = 10 * acceleration
Acceleration = 10/10 = 1m/s²
Now, we can find the time by using the first equation of motion;
V = U + at
10 = 0 + 1t
10 = t
Time, t = 10 seconds
Therefore, it will take 10 seconds for the box to come to a complete stop.
Answer:0.210 ft/min
Explanation:
Given
Length of trough 
width of base 
height of triangle
From Similar triangles property


volume of water in time t



differentiating

at 


