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
You must divide the larger by the smaller... That will give you the scale factor.
For example: Rectangles 10 x 20 and 5 x 10
the scale factor us 10/5 = 20/10 = 2
Hope this helps.
Anthony's OT pay will be $118.875 and his overall pay will be $752.875.
Number of hours Anthony has to work in a week = 5 × 8 = 40 hours.
He worked for = 47.50 hours.
Overtime = 47.50 hours - 40 hours = 7.50 hours
Pay per hour = $15.85 / hour
Overtime pay (OT pay) = $15.85 × 7.50 = $118.875
Overall pay = $15.85 × 47.50 = $752.875
Therefore, Anthony's OT pay is $118.875 and his overall pay is $752.875.
Learn more about overtime pay here -
brainly.com/question/19022439
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Answer:
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Conversion a mixed number 2 1/
2
to a improper fraction: 2 1/2 = 2 1/
2
= 2 · 2 + 1/
2
= 4 + 1/
2
= 5/
2
To find new numerator:
a) Multiply the whole number 2 by the denominator 2. Whole number 2 equally 2 * 2/
2
= 4/
2
b) Add the answer from previous step 4 to the numerator 1. New numerator is 4 + 1 = 5
c) Write a previous answer (new numerator 5) over the denominator 2.
Two and one half is five halfs
