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
Answer:
x=30
Step-by-step explanation:
4x+2x=180
6x=180
x=30
The formula of a distance between A and B = |B - A|.
We have -3 and 4. Substitute:
|4 - (-3)| = |4 + 3| = |7| = 7
<h3>Answer: d) 7</h3>
Answer:
the answer is f.
Step-by-step explanation:
it is the only sensible answer. every 5 years it increases by ~40%.
Answer:
Step-by-step explanation:
1/2 (6x-10) - x
Opening bracket
= 6x/2 - 10/2 - x
= 3x - 5 - x
= 2x - 5