Answer:
13. 9.77 inches (rounded to 3 s.f.)
14. 249m² (rounded to 3 s.f.)
Step-by-step explanation:
13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2
× pi × 7 × 2 = 3
pi
= 9.77 inches (rounded to 3 s.f.)
14. To find the sector area, the formula is the angle of the sector out of 360° multiplied by the area of the full circle. Area of circle: pi × r × r
× pi × 10 × 10 = 79
pi
= 249m² (rounded to 3 s.f.)
Answer:
See below.
Step-by-step explanation:
First, we can see that 
.
Thus, for the question, we can just plug -1 in:
Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, 
will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:
This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.
Because even though 'a' and 'b' are rational, and their squares are
also rational, that doesn't guarantee that the sum of their squares
has a rational square root.
Examples:
1 and 2
Sum of squares = 5
√5 is irrational
2 and 3
Sum of squares = 13
√13 is irrational
4 and 5
Sum of squares is 41
√41 is irrational
'c' is rational only when 'a', 'b', and 'c' form a . . . . . wait for it . . . . .
a 'Pythagorean triple'.
Examples:
3 and 4
Sum of squares is 25
√25 = 5 is rational yay
5 and 12
Sum of squares is 169
√169 = 13 is rational yay
3-1/2x=-71
when you solve it, the answer is 37
Answer:
Step-by-step explanation: 54in
