The discount would be - $1.09
So the final price would be $9.83
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.
__
<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°
__
<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
__
<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:
Is the DIAMETER of a circle proportional to its circumference??
1. One of the unique qualities of a circle is that its diameter and circumference have a proportional relationship.
2. This means that no matter what size the circle is, the proportional relationship, or ratio, between its circumference and diameter is always the same.
Is the RADIUS of a circle proportional to its area??
1. Yes, the circumference of a circle is proportional to its radius.
2. Double the radius and you double the circumference.
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as: 
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
Substitute
Multiply both sides by sin 44
c = 29.0140633 ≈ 29
The answer will be reflect (2, - 3 ) in x = -1
