Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide schola
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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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Let's start by visualising this concept.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.
Number of grains on square:
1 2 4 8 16 ...
We can see that it starts to form a geometric sequence, with the common ratio being 2.
For the first question, we simply want the fifteenth term, so we just use the nth term geometric form:
Thus, there are 16, 384 grains on the fifteenth square.
The second question begs the same process, only this time, it's a summation. Using our sum to n terms of geometric sequence, we get:
Thus, there are 32, 767 total grains on the first 15 squares, and you should be able to work the rest from here.