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kakasveta [241]
2 years ago
15

Please help 25 points

Mathematics
1 answer:
Romashka-Z-Leto [24]2 years ago
6 0

Answer:

y ≤ -5

Step-by-step explanation:

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hope it helped have a good day mate

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A bag contains 15 cards numbered 1 through 15 . a card is randomly chosen from the bag. what is the probability that the card ha
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2 years ago
PLEASE HELP!! WILL GIVE Points Using the known angle, what side is known? What side is unknown? Use opposite, adjacent, or hypot
ruslelena [56]

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Tan to find the distance from the tower's base to the key.

why do we use Tan to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). we can see that the distance from the base of the tower to the key is the adjacent of the ∠α.

Tan α =  opposite / adjacent

=> Tan 72° = 150 / x

=> x = 150 / Tan 72°

=> x = 48.73795443 m = ~48.7m

5.

4.

known side: opposite (150m)

unknown sides: adjacent and hypotenuse

using Sin to find the distance that the ant travelled.

why do we use Sinn to find the distance?

the tower creates an angle of 72 degrees with the ground, which will be called α, and it is 150m high from the ground which is opposite ∠α. (shown in picture). the ant travelled along the tower's body, which is the hypotenuse of the triangle, from the top until reaching the ground.

Sin α =  opposite / hypotenuse

=> Sin 72° = 150 / x

=> x = 150 / Sin 72°

=> x = 157.7193336 m = ~157.7m

6.

(using unrounded numbers to calculate because there is a small difference in results if using the rounded numbers)

c^2 = a^2 + b^2 (pythago)

157.7^2 = 150^2 + 48.7^2

24875.3882 = 24875.3882 (correct)

7 0
2 years ago
Evaluate f[g(x)] when f(x)=7x-5 and g(x)=x+2
Alex

Answer:

7x+9

Step-by-step explanation:

f(x)=7x-5

g(x)=x+2

f[g(x)]=  Substitute g(x) in for x in the function f(x)

           =7(g(x))-5

          = 7( x+2) - 5

Distribute

           = 7x+14 - 5

Combine like terms

           =7x +9

5 0
3 years ago
Can u plz answer this question
Burka [1]
4:44 pm but I might be wrong.
5 0
3 years ago
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