Applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
<h3>The Trigonometric Ratios</h3>
- SOH is sin ∅ = opp/hyp
- CAH is cos ∅ = adj/hyp
- TOA is tan ∅ = opp/adj
- SOHCAHTOA is used to solve right triangles.
Given the right triangle in the mage attached below, we would find the missing sides as follows:
<em>Find a:</em>
Reference angle (∅) = 30°
opposite = 4√3
hypotenuse = a
sin 30 = (4√3)/a
a = (4√3)/sin 30
a = (4√3)/(1/2) (sin 30 = 1/2)
a = (4√3)×2
a = 8√3
<em>Find b:</em>
Reference angle (∅) = 60°
opposite = b
adjacent = 4√3
tan 60 = b/(4√3)
b = tan 60 × 4√3
b = √3 × 4√3
b = 12
Therefore, applying trigonometric ratios, the missing segments lengths in the image attached below are: <em>a = 8√3; b = 12.</em>
Learn more about trigonometric ratios on:
brainly.com/question/4326804
X= 8
Y= -7
If you use elimination:
–3y–4x=–11
3y–5x=–61
Add the two equations and get
–9x=–72
Divide by –9 on both sides
X=8
Substitute 8 in for x
–3y–4(8)=–11
Simplify
–3y–32=–11
Add 32 on both sides
–3y=21
Divide by –3 on both sides
Y=–7
Answer:25 percent
Step-by-step explanation:
I cannot see the question
Answer:
-5/2
Step-by-step explanation: