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san4es73 [151]
3 years ago
10

An eagle 311 feet in the air spots its prey on the ground. The angle of depression to its prey is 15°. What is the distance betw

een the eagle and its prey? Round to the nearest foot.​
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
I think the answer is 1,161 feet

Sorry if that’s incorrect, but here’s the explanation in case you need it:

The tangent of a triangle is the opposite leg over the adjacent leg. 311 is the opposite leg, and X would be the adjacent leg. So 311 divided by x is equal to tan 15. If we rearrange this to be equal to X, X equals 311 divided by tan 15. Tan 15 is equal to 0.2679, so 311/0.2679 = 1,160.6. That amount rounds up to 1,161, giving you the answer of 1,161 feet.
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Y = x^2+5x-3<br> y-x=2<br><br> What is the solution of the linear-quadratic system of equations
Sunny_sXe [5.5K]

Answer:

(-5,-3)

(1,3)

Step-by-step explanation:

Solving with substitution

Set both equations to y =  ...

y = x^2 + 5x - 3

----------------

y - x =2

y = x + 2

----------------

Substitute one of the Y's with the other Y = equation.

x + 2 = x ^2 + 5x -3

Set one side to 0

0 = x^2 + 4x -5

x^2 + 4x - 5 = 0

Simplify by factoring

(x-1) (x+5)

Get your X values

x-1 = 0

x = 1

x+5 = 0

x = -5

Plug in each X into one of the equations to get your Y value.

1st X

y = x + 2

y = 1 + 2

y = 3

When X = 1, Y = 3

2nd X

y = x + 2

y = -5 + 2

y = -3

When X = - 5, Y = -3

Your answers are (1,3) and (-5,-3)

8 0
2 years ago
Which number is rational -3 1/2, sqrt 5, pi, 9.23157...
PIT_PIT [208]

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7 0
3 years ago
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If I paid $16.24 for 7 bags of flour that were on sale for 10%off and each bag contained 2 pounds of flour, what would be the re
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Answer:

The regular price for 1 pound of flour was $ 1.29

Step-by-step explanation:

Price        Percentage

$ 16.24        90

  x              100

***************************

90 * x = 16.24 * 100

90x = 1,624

x = 1,624/90

x = 18.05

Now, let's calculate the price of each bag of flour, this way:

Price of each bag = 18.05/7

Price of each bag = $ 2.58 (rounding to the next cent)

Finally, we can calculate the regular price for 1 pound of flour:

Regular price for 1 pound of flour = 2.58/2

Regular price for 1 pound of flour = $ 1.29

3 0
3 years ago
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