Make use of the inverse sine function. Take the inverse sine of both sides of the equation. Of course, within the appropriate limits, the inverse sine of the sine function is the original argument, as is the case with any inverse function: f⁻¹(f(x)) = x.
... sin⁻¹(sin(x)) = sin⁻¹(-0.5)
... x = sin⁻¹(-0.5)
... x = -30°
_____
You need to be careful with inverses of trig functions, because they are only defined over a limited domain and range. The range of the inverse sine function is -90° to 90°, so, for example, sin⁻¹(sin(150°)) = sin⁻¹(0.5) = 30°.
Answer:
2(5) + 2x
Step-by-step explanation:
The equation to find perimeter is <em>P = 2L + 2W ( P = L + L + W + W )</em>
Since this question is asking for an expression to solve for the perimeter of this particular rectangle, I would say 2(5) + 2x. A simpler expression could be 10 + 2x.
Answer:
Not larger or smaller; the areas are the same
Step-by-step explanation:
Recall that the formula for the area of a triangle of base b and height h is
A = (1/2)(b)(h).
In the first case, h = 3 ft and b = 2.5 ft. This results in an area of 3.75 ft^2.
In the second case, h = 2.5 ft and b = 3 ft. The area is the same: 3.75 ft^2.
This is because A = (1/2)(b)(h) has the same value regardless of the order in which b and h are used as multipliers.
There is no difference in the areas of the two signs. The areas are the same.
Answer:
2750
Step-by-step explanation:
825/30=27.5
27.5X100=2750
Each tricycle has 3 wheels and one seat, so the ratio of seats to wheels is 1:3
