Circumference = 360 degrees
<span>Circumference = 2π radians (comes from 2*pi*radius) </span>
<span>Therefore </span>
<span>360 deg. = 2*π radians </span>
<span>180 deg. = π radians </span>
<span>1 deg. = (π/180) radians </span>
<span>75 deg. = 75(π/180) radians </span>
<span>75 deg. = 75π / 180 radians </span>
<span>don't bother to try and simplify π (it is an irrational number) </span>
<span>however you can simplify 75/180 </span>
<span>both are divisible by 5 </span>
<span>75π/180 = 15π/36 </span>
<span>both are divisible by 3 </span>
<span>75 deg. = 5π/12 radians </span>
<span>We normally don't bother to go further, unless you actually need it as a decimal fraction (in which case, you will have an approximation) </span>
<span>75 deg. ≈ 1.308997 radians</span>
Answer:
C is the closest one but it should be -472 instead -475
Step-by-step explanation:
just insert X in the formulas and compare to P
Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.
Answer:
x = 16
Step-by-step explanation:
Verticle angles are always congruent, so:
(8x + 15) = 143
Now, we can solve to isolate x:
8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)
8x/8 = 128/8 (divide both sides by 8)
x = 16
You can always plug in the value of x to the original equation to check your answer:
8(16) + 15 = 143
