Rational or Irrational? -√16
2 answers:
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Step-by-step explanation:
hope this helps you out with the problems
See the attached diagram, it has all the information you need.
(a) If the green radii are all 1, then the orange diameters are all 2 + √2, so that the orange radii are (2 + √2)/2 = 1 + √2/2.
This is because we can join the radii of two adjacent green circles to form the sides of a square with side length equal to twice the radius - i.e. the diameter - of the green circles. The diagonal of any square occurs in a ratio to the side length of √2 to 1. Then we get the diameter of an orange circle by summing this diagonal length and two green radii, and hence the radius by dividing this by 2.
(b) We get the blue diameter in the same way. It has length (2 + √2) (1 + √2/2) = 3 + 2√2, so that the blue radius is (3 + 2√2)/2 = 3/2 + √2.
Hi there!
Let th' required angle = X
Then,
• Complement of th' angle = 90 - X
• Supplement of th' angle is = 180 - X
According to th' question,
Sum of Complement and Supplement :-
(90 - X) + (180 - X) = 200
⇒ 90 - X + 180 - X = 200
⇒ 270 - 2X = 200
⇒ 2X = 270 - 200
⇒ 2X = 70
⇒ X =
= 35
Hence,
Th' measure of the angle is 35°
~ Hope it helps!
Let th' required angle = X
Then,
• Complement of th' angle = 90 - X
• Supplement of th' angle is = 180 - X
According to th' question,
Sum of Complement and Supplement :-
(90 - X) + (180 - X) = 200
⇒ 90 - X + 180 - X = 200
⇒ 270 - 2X = 200
⇒ 2X = 270 - 200
⇒ 2X = 70
⇒ X =
Hence,
Th' measure of the angle is 35°
~ Hope it helps!