Answer:
see below
Step-by-step explanation:
A protractor is usually a transparent measuring device laid intended to be laid over an angle to be measured. The centerpoint of the protractor's scale is made to coincide with the angle's vertex, and the baseline of the protractor is aligned with one of the angle's rays. The appropriate scale is used to read the angle where the other ray crosses the scale. You usually have to visually determine if the angle is acute or obtuse, so you can choose the correct scale to read.
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If you're drawing an angle, first draw one ray and locate the vertex on it. Then do the steps above as you would for measurement. Make a mark on your paper corresponding to the desired angle measure, and connect the vertex to that mark to create the other ray of the angle.
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If you're working with a printed protractor, you may need to do your work on a piece of translucent paper or transparency material, so you can see the protractor scale through the page you're drawing on.
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<em>Comment on a printed protractor</em>
A protractor will only give accurate measurements if its geometry is perfect. Some printers will scale a figure differently in horizontal and vertical directions, so will make the protractor scale be elliptical instead of circular. That will give wrong readings.
The solution is 
and 
Step-by-step explanation:
The expression is 
Multiplying the term 
by 
, we get,
Adding both sides by 1,
Taking factor, we get,
Equating the factors to 0,
and 
Thus, the smaller value is
The solution is and
Answer:
There is an error in the application of the DMAS rule, The answer as per the DMAS rule is 75.
Step-by-step explanation:
There is an error in the implication of the DMAS rule of Mathematics.
DMAS rule determines the arrangement of mathematical functions to be performed in an expression where multiple functions are present.
The DMAS Rules describes the following arrangement of the mathematical functions.
1st Division
2nd Multiplication
3rd Addition
4th Subtraction
Applying the above rule the solution is as follow
62 + 3 + 5 x 2
First, we need to solve the Multiplication because there is no division
62 + 3 + 10
Now perform the addition function
65 + 10
75
Answer: Use a math calculator it should help. If not sorry. :/
Step-by-step explanation:
Answer:
Step-by-step explanation:
The position of an object moving horizontally after t seconds is given by the function
s = 3t - t³
a) The object is stationary when there is no external force acting on the body. When the body is at rest, the body remains in a position and here is no distance covered by the object i.e s = 0
b) velocity is the change in displacement of a body with respect to time.
v = ds/dt
S = 3t - t³
V = ds/dt = 3-3t²
at t = 2
Velocity = 3-3(2)²
Velocity = 3-12
Velocity = -9m/s
c) acceleration is the change in velocity of a body with respect to time.
acceleration = dv/dt
If v = 3-3t²
a = dv/dt = -6t
When v = 0
0 = 3-3t²
-3 = -3t²
t² = 1
t = ±√1
t = 1sec
The acceleration of the object at v = 0 occurs at t = 1sec and -1sec
a = -6(1)
a = -6m/s²
d) Given the speed of the body v modelled by the function
v = 3-3t²
The speed is decreasing when it is less than zero as shown:
3-3t²< 0
3<3t²
1<t²
±1<t
1<t and -1<t
t>±1
t >1 and t>-1
The speed is decreasing when
3-3t²<0 and t>1 or t>-1
