Plug 7 into each y. 9(7) -4(7) +3
63-28+3
The answer is 38
Answer:
124.4
Step-by-step explanation:
Perimeter of ∆HIJ = IJ + HJ + HI
IJ = 40
HJ = 37.6
HI = ?
Let's find HI
∆HIJ and ∆EFG are similar. Since they have equal corresponding angles. Therefore, the ratio of their corresponding sides would be equal.
Thus:
EF/HI = FG/IJ
EF = 117 (given)
HI = ?
FG = 100 (given)
IJ = 40 (given)
Plug in the values
117/HI = 100/40
117/HI = 2.5
117 = HI*2.5
117/2.5 = HI
HI = 46.8
✔️Perimeter of ∆HIJ = IJ + HJ + HI
= 40 + 37.6 + 46.8
= 124.4
Cosine means complementary sine, the sine of an angle and the cosine of the complementary angle are the same.
sin 75° = cos θ
cos (90° - 75°) = cos θ
cos 15° = cos θ
In general when we have
cos x = cos a
the solution is
x = ±a + 360°k, integer k
Here they just went with x=a, or
θ = 15°
Answer: C θ = 15°
The measure of angle R is : 41.5°
<h3>what are trigonometric ratios?</h3>
Trigonometric ratios are ratios of the sides of a right-angled triangle.
They are used to relate the sides of a triangle with their angles.
Examples are cosine, tangent, sine etc.
Analysis:
length r is facing angle R, length s is facing angle S, length q is facing angle Q.
in order to find angle R we need to find the length of q first.
using cosine rule,
= 
+ 
-2srcosQ
= 
+ 
-2 x 30.6 x 24.4cos15
= 936.6 + 595.36 -1493.3(0.9659)
q = 9.5
using sine rule,
= 
9.5 sinR = 24.4sin15
sin R = 24.4(0.2588)
sin R = 6.31
R = arc(sin) 6.31 = 41.5°
In conclusion, the measure of angle R is 41.5°
Learn more about trigonometric ratios: brainly.com/question/24349828
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