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
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Answer:
Step-by-step explanation:
Triangle 1,
Sum of the squares of the shorter lengths = 13² + 17²
= 169 + 289
= 458
Square of the longest length = 19² = 361
Since, sum of longest side is less than sum of squares of the smaller sides,
13²+ 17² > 19²
Therefore, it's acute triangle.
Triangle 2,
Sum of squares of the shorter lengths = 10² + 24²
= 576
Square of the largest length = 26² = 576
Since, sum of squares of the shorter lengths = square of the largest length
Therefore, it's a right triangle.
We make the corresponding unit change.
We have then:
V = 13 * (1/3600) * (5280)
V = 19.06666667 feet / s
Then, after 10 seconds, we have by definition:
d = v * t
Where,
v: speed
t: time
Substituting the values:
d = (19.06666667) * (10)
d = 190.6666667 feet
Answer:
V = 19.06666667 feet / s
d = 190.6666667 feet
Answer:
1: 36° 2: 122° 3: 122° 4: 38°
Step-by-step explanation:
First start out by getting 2 and 3. so 58+angle 3 has to sum to 180° since they are supplementary and are a straight line. So 180-58=122. Angle 2 is the same since theyre vertical. then since a triangle has 180° total, you subtract from 180 to find the final angle measurement.