GIVING BRAINLIST Use the number line to answer the question. Each tick represents 1 unit.
1 answer:
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To convert from rectangular coordinate (x, y) to polar coordinate (r, θ).
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
r is given by the square root of the sum of the squares of the rectangular coordinate.
and θ is given by the arctan of the ratio of y to x.
Example:
To convert rectangular coordinate (3, 4) to polar coordinate
Therefore, rectangular coordinate (3, 4) = polar coordinate (5, 53.13°)
The length of AB is 9.
Solution:
Given data:
Radius OC = 8
Tangent AC = 15
The angle between the tangent and radius is always right angle.
∠C = 90°.
Hence OCA is a right triangle.
Using Pythagoras theorem,
<em>In a right triangle square of the hypotenuse is equal to the sum of the squares of the other two sides.</em>
Taking square root on both sides of the equation, we get
OA = 17
OB is the radius of the circle.
⇒ OB = 8
AB = OA – OB
= 17 – 8
= 9
AB = 9
Hence the length of AB is 9.
Answer:
Option b.
Step-by-step explanation:
Consider the below figure attached with this question.
A computer program selects blue,red,green as the background color each time the program is used.
Blue background = 12 times
Red background = 21 times
Green background = (45-12-21) times = 12 times
Blue background = Green background
Red background ≠ Green background
Green is just as likely as blue to appear, but not as likely as red.
Therefore, the correct option is b.
