Answer: In degrees , The measure of 
In radians , the measure of 
.
Step-by-step explanation:
We know that the formula for length of arc is given by :-
, where 
= Central angle subtended by arc.
r= radius of the circle.
As per given , we have
Radius of circle : r=7 m
Length of arc : l= 8 m
Substitute these values in the above formula , we get
Hence, the measure of .
To convert it into degrees we multiply it with 
The measure of 
Hence, the measure of
Answer: 1/2
Step-by-step explanation:
Let the missing fraction be x
x + 1/16 = 3/2
Make x the subject by subtracting both sides by 1/16
x = 3/2 - 1/16
x= 24 - 16/16
= 8/16; divide through by a common value of 8
x = 1/2
I hope this helps.
175 mL at 25% concentration of alcohol contains 0.25 (175 mL) = 43.75 mL of alcohol. If <em>v</em> is the amount of the 70% solution that you use, then that amount contains 0.7<em>v</em> mL of alcohol.
Mixing these two yields a total volume of 175 mL + <em>v</em>, and it contains 43.75 mL + 0.7<em>v</em> alcohol. You want to end up with a concentration of 45%, which means the ratio of the amount of alcohol to the total volume needs to be 0.45:
(43.75 mL + 0.7<em>v</em>) / (175 mL + <em>v</em>) = 0.45
Solve for <em>v</em> :
43.75 mL + 0.7<em>v</em> = 0.45 (175 mL + <em>v</em>)
43.75 mL + 0.7<em>v</em> = 78.75 mL + 0.45<em>v</em>
0.25<em>v</em> = 35 mL
<em>v</em> = 140 mL
I'm pretty sure the answer is A. hope that helped
