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jonny [76]
3 years ago
13

The figure below shows concentric circles, both centered at 0.0

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

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3 years ago
Read 2 more answers
From a point T on a horizontal ground, the angle of
grin007 [14]

Answer:

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms  a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R.  The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

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3 years ago
Refer to the variable on the number of miles driven. the mean is 830.11 and the standard deviation is 42.19 miles. estimate the
Alex787 [66]
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Can someone explain this to me please?
IrinaK [193]
8/x^4

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