Formula for the circumference of a circle: C = pi x diameter
We are given the radius here, but we need the diameter. The diameter of a circle is equal to two times the radius.
diameter = 40 x 2 = 80 in
C = pi x 80
C = 80pi = 251.3 in
Hope this helps!! :)
Answer:
x < -12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
16 < -2(x + 4)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: 16 < -2x - 8
- Add 8 to both sides: 24 < -2x
- Divide -2 on both sides: -12 > x
- Rewrite: x < -12
Here we see that any number <em>x</em> smaller than -12 would work as a solution to the inequality.
The equation that you are looking for is y = -2x + 3
Answer: 35.9 degrees
Step-by-step explanation:
Since cosine(x) is adjacent/hypotenuse, cosine(x) = 47/58.
Therefore we can take the arc cosine of 47/58, and we get x is about 35.9
