Answer:
The line segments AA' and BB' are parallel and congruent
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Answer:
13.86 ft
Step-by-step explanation:
This can be represented by a right angled triangle with a hypotenuse of 16 feet and an angle of 60° between the hypotenuse side and the adjacent side.
The height of the pole is the side opposite to the angle 60°.
The trigonometric function states that for a right angled triangle:
sinθ = opposite / hypotenuse, cosθ = adjacent / hypotenuse, tanθ = opposite/ adjacent
To find the height of the flagpole, we use:
sin(60) = height / 16
height = 16 * sin(60)
height = 13.86 ft
The person with the incorrect reasoning for the height of the flagpole is Charlie when he should have utilized the sin function. Because he incorrectly selected the function.
Answer:
m [slope] = 0
Step-by-step explanation:
When the slope is 0, x cancels out so the y value will remain the same.
There are several methods to finding slope but the easiest way to do this is by dividing the second y value - first y value by the second x value - first x value.
m = ∆y/∆x = y2-y1/x2-x1
You y2 and x2 are interchangable with y and x, because y1, and x1 are part of the starting coordinate,.
The reason you subtract the second
value from the first is because in a directly proportional relationship, y increases as x increases so the next x values will have a greater y value, this is a measure of steepness.
So the slope is:
-1 - -1 / 3 - -2 = -1 + 1 / 3 + 2 = 0 / 5 = 0.
Answer:
x=11.5
Step-by-step explanation:
You want to isolate x. The first thing you have to do is get rid of that tricky fraction. To do this, you have to multiply the fraction by its denominator to cancel the denominator out and leaving you only with the numerator. You would also have to multiply 3 by 5.5 too. (Multiplying by the denominator only gets rid of the denominator and leaves the numerator alone. However, in your case, the numerator is one, so by getting rid of the denominator you get 1x. This can just be written as x.)
Equation would look like this:
x+5=16.5
You subtract 5 from both sides, and 16.5 minus 5 is 11.5
Equation would now look like this:
x=11.5
