Answer:
The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance <u>between</u> two points on the circle.
C = 2πr = 2π( <u>5</u><u> </u>) = 10π ≈ 31.4 units
3.14 is an approximation for π.
s = θ/360° (C)
mAB = 60°/360° ( 31.4)
= <u>1</u><u>/</u><u>6</u>(31.4) ≈5.2 units
First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3
The answer should be 15/24 of an ouce beacause 35 minus 5 ounces because the box weighs 5 ounces when it is empty. Then, you need to do 30 dibided by to to get 30/48 which is reduced to 15/24.
Answer: D.
Step-by-step explanation:
You want to cube each term in the parentheses. When you take an exponent to an exponent, you just multiply them. You get (27m^-12). In order to get rid of that negative exponent, you should put a one over the m term and make -12, +12:
Multiply the numerators to get:
You now have:
When you divide exponents, you subtract them. 5 - 12 = -7
You have m^-7 which is the same as 1/m^7. Finally, mulitply that by the 81 we left out to get the answer of D.
