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Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:
Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
Concept:
A <em>function f </em>from a set A to a set Y is a rule that assigns a unique element f(x) ∈ Y to each element x ∈A.
Points to remember:
1) There is no repetition in the domain of function.
2) Yo can use a 'vertical line test: A function f can have only one value f(x) for each x in its domain, so no vertical line can intersect the graph of a function more than once' to check that whether the given relation is a function.
Now, apply the above two points.
a) x²+y² = 9 , This is the equation of a circle so vertical line intersects the graph at two points, Given relation is not a function.
b) {(4, 2), (4, –2), (9, 3), (9, –3)}, repetition in Domain(4 occurs two times in domain and then 9 occurs two times) so Given relation is not a function.
c) x = 4 , this is a vertical line so repetition in Domain occurs (x=4 infinite values of y occcur) so Given relation is not a function.
d) 2x + y = 5 , equation of a line so according to vertical line test there is no repetition in domain so Given relation is a function.
Answer:
Dimensions of rectangle = <u>23 cm x 5 cm</u>
Step-by-step explanation:
<u>Equations we can form</u>
⇒ 2L + 2W = 56
⇒ L + W = 28
- Length is 8 more than 3 times its width
⇒ L = 3W + 8
<u>Substitute in previous equation</u>
⇒ 3W + 8 + W = 28
⇒ 4W = 20
⇒ W = <u>5 cm</u>
<u></u>
⇒ L = 28 - 5 = <u>23 cm</u>
Answer:
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Step-by-step explanation: