Answer:
Radians
Step-by-step explanation:
If you use degrees, you have to put an annoying 2π/360 every time you try to simplify. This is why in calculus, we work with radians for all functions of derivatives, since its much easier to work with, and you dont have to write that annoying constant.
Answer:
72% increase
Step-by-step explanation:
688-400= 288 increase
288/400= 0.72
0.72x100=
72% increase
Answer:
The amount invested at 4.5% was 
The amount invested at 5% was 
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Final Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
Let
x -----> the amount invested at 4.5%
9,000-x -----> the amount invested at 5%
in this problem we have
substitute
so
therefore
The amount invested at 4.5% was
The amount invested at 5% was
Answer:
If two angles have common side and they shares common vertex, they are called adjacent angles.
When two lines crosses each other, the opposite angles are called vertical angles as they share same vertex.
Two angles shown in diagram are adjacent as they are on common side.
Both the angles are on a straight line, hence
Subtracting 109 from both sides
Both angles shown in diagram are opposite to each other, hence vertical angles.
As they are opposite to each other, they both are equal.
Subtracting x from both sides
Subtracting 1 from both sides
Both angles are having a common side means they are adjacent angles.
As they are on straight line, both angles will add up to 180 °.
Subtracting 96 from both sides
Dividing from 6 in both sides
Hope it will help :)
The factors of 7 are 7, 1.
The factors of 12 are 12, 6, 4, 3, 2, 1.
12*7=84
