Answer:
11= 21
12= -12
13= -72
14= -1
Step-by-step explanation:
Answer:
48 will be the answer.
Step-by-step explanation:
we can simply find the 80 percent of 60.
80 * 60 / 100 = 4800/100 = 48.
so 48 students think he is their favorite teacher.
Explanation: The given triangles are similar by Angle-Angle postulate, because all three pairs of corresponding angles are congruent.
Answer:
13. x = 52.8°
14. 663.65 ft
15. 30.7 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.
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<h3>13.</h3>
The sides adjacent and opposite the angle are marked. The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(x°) = 2.5/1.9
The angle is found using the inverse tangent function:
x° = arctan(2.5/1.9) ≈ 52.8°
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<h3>14.</h3>
Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.
Tan = Opposite/Adjacent
tan(11°) = (129 ft)/(distance to shore)
distance to shore = (129 ft)/tan(11°)
distance to shore ≈ 663.65 ft
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<h3>15.</h3>
In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.
Sin = Opposite/Hypotenuse
sin(71°) = (29 ft)/(ladder length) . . . . substitute given information
ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length
ladder length ≈ 30.7 ft
Answer: Option D is correct.
Step-by-step explanation:
Since we have given that
focus = (-5,5)
and a directrix y= -1
Since, equation of parabola in this case will be
Now, here
So equation will be
So, option D is correct .
