Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90°
To find the arc length of the quarter circle:


Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Answer:
Step-by-step explanation:
2 $4 bags = $8
$10 - $8 = $2 change
"3 miles below sea level" may be written as -3. The negative indicates you are below sea level. Going above sea level means the value would be positive.
"earning 45 dollars" can be written as +45 or simply 45. If you lost 45 dollars, then it would be -45. If you are in debt 45 dollars, then it would be -45.
"moving back 5 spaces" is represented by -5 whereas moving forward 5 spaces is +5 or simply 5.
#5 is very nicely and correctly done.
#7 says: "No matter what X may be, this function of it is always 9 more than 1/2 of X .".
That's a very powerful statement. Now you know that if X is ever 2, the function will be 1/2(2)+9 which is 10.
If X is ever zero, the function will be 1/2(0)+9 which is 9. If X is ever a cow, the function will be 1/2 of a cow, plus the number 9. Which makes no sense, but that's what the function says.
So, when X is -8, the function is 1/2 of -8, plus 9. Which is 5 ... the 'f' of -8.
Whatever X happens to be at the moment, just write that number in place of X in the function, and it'll show you the function of what X is.
f(a bazillion) = 1/2(a bazillion) + 9 .
f(a-28) = 1/2(a-28) + 9 (but simplify it)
Answer:
495.6
Step-by-step explanation:
18% of 420 is 75.6. Multiply that by 63 to get 4762.8. 420 multiplied by 63 equals 26460. 26460 plus 4762.8 is 31222.8. 31222.8 divided by 63 is 495.6. So the answer is $495.60 per year.