circurference of gear = 2πr
= 2π(10)
= 62.83185307 inches
= 62.83 inches (4sf)
Answer: 0.99
Step-by-step explanation:
SOH CAH TOA
CAH: cosine = adjacent/hypotenuse
Cosine of angle w = 84/85 = 0.98823 ≈ 0.99
Angle Y is 90 degrees, meaning it's a right triangle. Therefore angle W is the top/tip of a triangle, while X is the angle next to Y. If you plug in the information afterwards and follow the trigonometry rule (SOH CAH TOA) you will find your answer.
First, let's find the slope of the line using the slope formula, which is:
((
, 
) and (
, 
) are points on the line)
In context of this problem, we can use the formula to find the slope of the line between the two points:
Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is 
where (, ) is a point on the line)
In the context of the problem, we could use the formula to find the equation of the line:
The equation of the line is y = -x + 5.
Answer:
x = 675
Step-by-step explanation:
Collect terms and solve the resulting 2-step linear equation.
(x-355)+(x)+(80+2x)=2425 . . . . . given
4x -275 = 2425 . . . simplify
4x = 2700 . . . . . . . add 275
x = 675 . . . . . . . . . divide by 4
Answer:
B
Step-by-step explanation:
If C is the correct answer and if the final result is multiplied out, where does the minus sign in a^4 - b^4 come from? All pluses don't make a minus. A is incorrect.
If D is correct, then a^2 - b^2 should be further factored producing a different kind of answer, like (a + b)^2(c-d)^2 which is not the same as a^4 - b^4. So D is not correct.
The first step in factoring a^4 - b^4 is (a^2 + b^2)(a^2 - b^2) A doesn't lead you anywhere. A is incorrect. The answer must be B.
a^4 - b^4 = (a^2 - b^2)(a^2 + b^2) The first term factors.
a4 - b^4 = (a + b)(a - b) (a^2 +b^2)
