Leena knits 10 rows in 12 min. At this pace, how long will it take her to knit the next 25 rows?
2 answers:
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The value of sin(30°) is: One-half ⇒ 2nd answer
Step-by-step explanation:
In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles
- sine the acute angle (sin) = opposite side to it/hypotenuse
- cosine the acute angle (cos) = adjacent side to it/hypotenuse
- Tangent the acute angle (tan) = opposite side to it/adjacent side to it
In Δ QRS:
∵ m∠QRS = 90°
∵ SQ is opposite to ∠QRS
∴ SQ is the hypotenuse
∵ SQ = 10 units
∴ The hypotenuse = 10
∵ m∠RSQ = 30°
- The opposite side to ∠RSQ is RQ
∵ RQ = 5 units
∴ The opposite side to the angle of 30° = 5
∵ sin(30°) = opposite side to 30°/hypotenuse
∵ The opposite side to angle 30° = 5
∵ The hypotenuse = 10
∴ sin(30°) =
∴ sin(30°) =
The value of sin(30°) is: One-half
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/9880052
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The distance between an arbitrary point on the surface and the origin is
Recall that for differentiable functions
and 
, the composition 
attains extrema at the same points that does, so we can consider an augmented distance function
The Lagrangian would then be
We have partial derivatives
Set each partial derivative to 0 and solve the system to find the critical points.
From the second equation it follows that either
or 
. In the first case we arrive at a contradiction (I'll leave establishing that to you). If , then we have
This means
so that the points on the surface closest to the origin are
.
Recall that for differentiable functions
The Lagrangian would then be
We have partial derivatives
Set each partial derivative to 0 and solve the system to find the critical points.
From the second equation it follows that either
This means
so that the points on the surface closest to the origin are