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Serggg [28]
3 years ago
5

Jack is 15 years younger than Sydney, The sum of their ages is 57. What is Sydney’s age?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0

Answer:

Sydney is 42 years old

Step-by-step explanation:

57 - 15 = 42

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A wooden plank is leaning against a wall. The bottom of the plank is 3 feet from the wall. Answer each of the following question
Nadusha1986 [10]

AB = ==> distance between the bottom of the plank; and the wall ===> 3 ft.

C ====> 49 degrees

For letter a, to solve for AC:

AC ==> HYPOTENUSE. The angle C is the OPPOSITE side of AB.

use sine :

sin A ===> opposite/hypotenuse

Solve:

sin 49 ====> 3/AC

AC ====> 3 / sin 49

AC ====> 3.96 ft.

For letter b, to solve for BC:

We are now given with the base (3 ft.); and; the hypotenuse (3.96 ft.) so we can use the Pythagorean theorem:

a^2 + b^2 = c^2

Let:

a ===> AB

b ===> BC

c ===> AC

(AB)^2 + (BC)^2 ===> (AC)^2

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Hope that helps!!!! : )

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3 years ago
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