Answer:
12-157.5 13-6ft
Step-by-step explanation:
the first one just look up 65% of 450 and minus the number you get by 450
the second one do the butterfly method
the heights on top and shadows on bottom
12x=72
x=6
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:
<em>#6: -1/5 #7: 2/3</em>
Step-by-step explanation:
#6:
(5,7) and (25,3)
3-7/ 25-5 = -1/5
#7:
( 6,4) and (12,8)
8-4/ 12-6 = 2/3
i hope this helped! :D
No, no value for x will result in you getting the same amount of money
I.e. on the first day if x =2 you earn 33. on the second day you would've earned 44. Of course this may be wrong so best to double check