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
2a+3b=82
a+b=38
These are the two equations you need to solve for a and b
Answer:
Step-by-step explanation:
first make the improper fractions into proper fractions by multiplying the whole number with the denominator and adding it to the numerator
-11 2/3
-11*3=-33
-33+2=-31
-31/3
-19/5
then multiply
-31*-19=589
5*3=15
589/15 is your answer
The answer to your question is y=2-2x
Answer:
x = +2√21 and y = +2√30
Step-by-step explanation:
The two marked sides of the smaller triangle are x and y. The third side has length equal to 14 - 8, or 6.
We can thus write two equations in x and y:
x^2 = y^2 + 6^2
and
y 6
-- = ---
8 y
Solving the first equation for y^2 yields y^2 = 36 - x^2. Solving the second equation for y^2 yields 48. Thus 36 - x^2 = 48, and
x^2 = 84. Thus, x = +√7*√4*√3, or x = +2√21.
We now find y. y^2 = 36 = x^2, which here becomes
y^2 = 36 + 4(21) = 36 + 84 = 120. Thus, y = +√4*√30, or y = +2√30.
