An arc is a part of the circumference of a circle and the angles that subtend the arcs are proportional to the length of the arc.
So, you basically have two arcs to compare: a 10cm arc and a 60cm arc. But the 60cm arc also happens to be the circumference in this case, so you know that the angle that subtends that arc is 360 degrees (the whole circle). The 10cm arc is 1/6 of the whole circumference so the angle is going to be 1/6 of 360 degrees, which is <span>60 degrees.</span>
Answer:
7
Step-by-step explanation:
We can check if it works:
7+(-6) is the same as saying 7-6 which is equal to 1. Therefore, we are correct. Hope I could help!
Part A: W = 6x
Part B: Since without overtime it is 6 $ per hour and you need to make 40 hours
you would multiply 6 *40 = 240
So <u>S = 240 + 9y
</u>Part C: <u><em>Substitute</em></u><u />
Since Andrew earned 330 you would substitute it for <em>S</em>
<u>
330 = 240 + 9y</u> <--- solve for <u /><u><em>y</em><em /></u><em />
330 ( - 240 ) = 240 ( - 240 ) 9y < ---- subtract 240 from each side
90 = 9y
90 / 9 = 9y / 9 <----- divide by 9
10 =y Andrew worked 10 hours for overtime
<u><em /></u><u><em /></u><em /><u><em>Check </em></u><u><em /></u><em />
<u><em />
</u><u><em>330</em></u><u><em /></u><em> </em>= 240 + 9(10)
<u><em>330</em></u><u><em /></u><em /> = 240 + 90
<u><em>330</em></u><u><em /></u><em /> = 330 <-- your answer is <u><em>10</em></u>
129 FT of fencing is required for the problem
Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
x can be one angle, and (x-39.2) can be the other
x + (x-39.2) = 90
2x - 39.2 = 90
add 39.2 to both sides
2x = 129.2
divide each side by 2
x = 64.6
find the measure of the other angle
64.6-39.2 = 25.4
The measures of the angles are 64.6 degrees and 25.4 degrees.