The trigonometric function gives the ratio of different sides of a right-angle triangle. The given problems can be solved as given below.
<h3>What are Trigonometric functions?</h3>
The trigonometric function gives the ratio of different sides of a right-angle triangle.
where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.
1st.) x = 5 /Sin(30°)
x = 10
!) sin(45°) = 4/x
x = 4/sin(45°)
x = 4√2
I) Cos(45°) = √3 / x
x = √3 / Cos(45°)
x = √6
E) Tan(60°) = 3√3 / x
x = 3√3 / 3
W) For isosceles right-triangle, the angle made by the legs and the hypotenuse is always 45°.
x = 45°
N) x² + x² = (7√2)²
x = 7
V) Tan(60°) = 7 / x
x = 7√3/3
K) x² + x² = (9)²
x = 9/√2
Y) Sin(60°) = 7√3/x
x = 14
M) Sin(30°) = x/11
x = 11/2
T) Sin(45°) = x/√10
x = √5
A) x + 2x + 90° = 180°
x = 30°
O) Sin(45°) = √2 / x
x = 2
R) Tan(30°) = x / 4
x = 4/√3 = 4√3 / 3
S) Sin(60°) = x / (10/3)
x = 5√3 / 3
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So assuming L=legnth
xd=y(L-d)
divide both sides by y
(xd)/y=L-d
add d to both sides
((xd)/y)+d=L
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Answer:
15. BE = 37.5
16. AD = 62.4.
17. ED = 37.5
18. Angle CDA=79 degrees
19. Angle BCD= 101.
20. Angle DAB=101.
Step-by-step explanation:
For problems 15-20, you'll use geometry theorem the definition of a parallelogram which says they have two pairs of equal parallel sides, equal opposite angles and that the diagonals in any parallelogram bisect each other into equal segments.
15. BE is half of 75. BE = 37.5
16. Since BC = 62.4 then AD = 62.4.
17. ED is half of 75. ED = 37.5
18. 79 degrees
19. Parallelograms add to 360 degrees so if two angles are 79 then 360-79-79 = 202 which is split equally in the other two angles. 202/2 =101. Angle BCD= 101.
20. Angle DAB is equal to Angle BCD so Angle DAB=101.
Answer:6
Step-by-step explanation:
8:12 reduced is 2:3
12:18 reduced is 2:3
So sculpting is... __:9
3*3=9
Therefore, 2*3=6 because the ratio is 2:3