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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Answer:
Step-by-step explanation:
Represent the lure's difference with A and B;
Required
Determine the difference in depth between the lure's depth
The distance is calculated as follows;
Substitute 23 feet for A and 81 feet for B
<em>Hence, the distance between both lure's is 58 feet</em>
The cost of the watch originally cost $1,640.31
Answer:
We need to find which expressions are equivalent to 
, 
or neither.
: We extract the greatest common factor which is 6. Remember, when we extract a GCM, we divide each term by it.
Therefore, this expression is equivalent to neither of the given expressions.
: We just need to apply the distributive property.
Therefore, this expression is equivalen to .
We use the same process to the other expressions.
, equivalent to neither.
Answer:
Mass of gold bar = 13.896 kg
Step-by-step explanation:
Volume of gold bar = Area of trapezium x Length of bar
Length of bar = 16 cm
Area of trapezium = 2 x Area of triangle + Area of rectangle
Area of triangle = 0.5 x 5 x 3 = 7.5 cm²
2 x Area of triangle = 2 x 7.5 = 15 cm²
Area of rectangle = 6 x 5 = 30 cm²
Area of trapezium = 15 + 30 = 45 cm²
Volume of gold bar = 45 x 16 = 720 cm³
Density of gold = 19.3 g/cm³
Mass of gold bar = 720 x 19.3 = 13896 g = 13.896 kg
Mass of gold bar = 13.896 kg
