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yarga
3 days ago
14

Which of the following explains how ΔAEI could be proven similar to ΔDEH using the AA similarity postulate?

Mathematics
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Two birds sit at the top of two different trees. The distance between the first bird and a birdwatcher on the ground is 32 feet.
Svet_ta [12734]

Response:

Step-by-step breakdown:

When you sketch that diagram (great description, by the way!), what you essentially have is a right triangle with a base of 32 and a hypotenuse of 45. The right angle resides at one of the base's ends, and x represents the vertex angle. We must find this vertex angle first to determine the angle of depression from the second bird to the watcher. The side measuring 32 is opposite to angle x, with 45 being the hypotenuse; hence, the trigonometric relation we need is sine:

sin(x)=\frac{32}{45} and

sin(x) =.711111111

Go to your calculator, press the 2nd key followed by the sin key, and your display will show:

sin^{-1}(

then, enter in your decimal.711111111 and hit equals. You should arrive at an angle of 45.325. That angle is x. However, that's not the angle of depression. The angle of depression is the complementary angle to x.

Angle of depression = 90 - angle x and

Angle of depression = 90 - 45.325, resulting in

Angle of depression = 44.67 or 44.7 degrees.

8 0
1 month ago
The smallest number by which 28 should be multiplied so as to get a perfect square is​
Leona [12618]

Answer:

7.

Detailed explanation:

28 can be expressed as 2^2 * 7.

In order to achieve a perfect square with 28, multiplying by 7 results in 2^2 * 7^2, equaling 14 squared.

4 0
2 months ago
Diego's club earns money for charity when members of the club perform community service after school,
babunello [11817]

Answer: Indeed, because the input value ranges from 0 to 12.

Step-by-step explanation:

To address this query, we first need to formulate a function that reflects the situation.

Every student engaging in community service earns the club $5

E(s) = 5 s

Where:

  • E= total earnings
  • n = number of students participating in community services (input value)

Indeed, since the input value n indicates how many students from the club engage in community service, and with the total number of students being 12, the input can indeed vary between 0 and 12.

6 0
2 months ago
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