Step-by-step explanation:
Acceleration= (final velocity - initial velocity)/ time
= v-u/t
v = 20m/s
u = 5m/s
t= 30s
= 20-5/30
= 15/30
= 0.5ms^-2
Given:
The expression is:
To find:
The value of the given expression.
Solution:
We have,
On simplification, we get
Therefore, the value of the given expression is 11025.
a. If Tina's eyes are 5 feet from the ground and 14.5 feet from Matt's shoes, what is the angle of elevation of
the hill to the nearest degree?
Answer:
71°
Step-by-step explanation:
The angle of elevation of the hill can be obtiaed using trigonometry :
Given
the opposite length = 14.5 feets
Adjacent = 5 feets
The angle of elevation vabnbe obtained using :
Tan θ = opposite / Adjacent
Where θ = angle of elevation
Tan θ = 14.5 / 5
Tan θ = 2.9
θ = tan^-1(2.9)
θ = 70.97 = 71°
Answer:
You will wrapping paper to cover the box.
Step-by-step explanation:
To find how much wrapping paper you will need to cover the box, you will have to find the surface area.
The surface area is the amount of area around the outside of an object.
The outside surface area of a box is given by
where h is the height, W is the width, and L is the length of the box.
From the information given we know that the height is 5 inches, the width is 9 inches, and the length is 12 inches.
Applying the above formula we get that
You will wrapping paper to cover the box.
The work done to lift the coal is 6.8*10^5 ft-lb
Data;
Let the distance (ft) below top of the shaft be represented by x
The weight of the coal to be lifted from mine = 500lb
The work done to lift the coal is
Taking the summation limit
we can take the integration of both sides where x will the range from 0 to 400.
From the calculations above, the work done is 6.8*10^5 ft-lb
Learn more on work done on a lift here;
Answer:
8.2 *10^5 ft lb
Step-by-step explanation:
Wcoal = 800*500 = 400000 = 4*10^5 ft lb
Using a right Riemann sum
The width of the entireregion to be estimated = 400 - 0 = 400
Considering 8 equal subdivisions, then the width of each rectangular division is 400/8 = 50
F(x) = 6(400-y)
Wrope = 50(2100) + 50(1800) + 50(1500) + 50(1200) + 50(900) + 50(600)
+ 50(300) + 50(0) = 420000 = 4.2 * 10^5 ft lb
Note: Riemann sum is an approximation, so may not give a accurate value
work done = Wcoal + Wrope= 4*10^5+ 4.2 * 10^5 = 8.2 *10^5 ft lb
Answer:
Step-by-step explanation:
y=4x+30
Answer: y = 30x + 4 (/1)
Step-by-step explanation:
30 is the y intercept because it says its' the startup fee. Therefore it must be the y intercept.
4 must be the gradient. Basically, on a Cartesian plane, the y intercept will be on 30. Move 4 digits up and 1 to the left continually