17v + 3v = 20 Solve for V.
2 answers:
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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
- <em>Apply SOH:</em>
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
- <em>Apply TOA:</em>
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:
Answer:
At most 29 boxes can be safely loaded onto the pallet.
Step-by-step explanation:
Given:
Weight of each box = 55 pound
Weight pallet can support 1595 pounds.
We need to find the number of boxes .
Solution:
Let the number of boxes loaded safely onto the pallet be 'x'.
So we can say that;
Weight of each box Multiplied by number of boxes should be less than or equal to Weight pallet can support.
framing in equation form we get;
Dividing both side by 55 we get;
Hence At most 29 boxes can be safely loaded onto the pallet.