Answer:
m∠I = 58.4°
Step-by-step explanation:
cos = adjacent side/hypotenuse
It is always helpful to have a picture. In your case KI is adjacent to ∠I and IJ is the hypotenuse.
So cos I = KI/IJ = 4.5/8.6
arccos (4.5/8.6) = m∠I
m∠I = 58.4°
It is necessary for you to memorize the definitions of the trig functions in order to do these types of problems. OK?
Answer:
1/3
Step-by-step explanation:
The formula for computing the sum of an infinite geometric series is
where r is between -1 and 1 and 
is the common ratio, and 
is the first term of the series.
So let's plug in:
I multiplied bottom and top by 10.
I divided top and bottom by 3.
The sum is 1/3.
Answer:
a = -0.6b + 0.2c
Step-by-step explanation:
Simplifying
5a + 3b = c
Solving
5a + 3b = c
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-3b' to each side of the equation.
5a + 3b + -3b = -3b + c
Combine like terms: 3b + -3b = 0
5a + 0 = -3b + c
5a = -3b + c
Divide each side by '5'.
a = -0.6b + 0.2c
Answer:
The new volume is 
.
Step-by-step explanation:
We are given with the volume of a gas varies inversely as the pressure upon it.
Initial volume is 160 cubic centimetres and initial pressure is 108 Pa. It is required to find the volume when the pressure is 87 centimetres.
According to given condition,
is new volume
So, the new volume is .
Answer:
f, it isnt doing anything as going up in units of water
Step-by-step explanation:
