To find the length of the side opposite the angle while knowing the hypotenuse we can use the sine function:
sin(53) = (side opposite angle of 53 degrees) / hypotenuse
sin(53) = x / 24
x = 24 sin(53)
x = 19.16
Hope that helped
I'm not all that familiar with that sort of representation, but I guess 3 3/4 = 15/4 and 2 1/6 = 13/6.
You will simply have to multiply the time spent walking, 13/6 hours, by the average distance traveled on an hourly basis, 15/4 km/h.
(13*15)/(4*6) = 195/24 = 8,125 km
If the numbers after the decimal terminate, yes, it's rational.
9.521521521 = 9,521,521,521 / 1,000,000,000
If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.
If <em>x</em> = 9.521521521…, then
1000<em>x</em> = 9521.521521521…
Subtract <em>x</em> from this to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…
999<em>x</em> = 9512
<em>x</em> = 9512/999
If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like
9.521521521<u>19484929271283583457</u>…
then the number would be irrational.
Answer:
The answer is below
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.
If a point A(x, y) is reflected over the x axis, the new point is at A'(x, -y). If a point B(x, y) is reflected over the y axis, the new point is at A'(-x, y).
Triangle A has vertex at (-4, -2), (-4, -5) and (-2, -5). If triangle A is reflected in the x axis to give triangle B, the vertex of triangle B is (-4, 2), (-4, 5) and (-2, 5).
If triangle B is reflected in the y axis to give triangle C, the vertex of triangle C is at (4, 2), (4, 5) and (2, 5). Hence the transformation is:
(x, y) ⇒ (-x, -y)
Answer:
The student could not divide out (2 – x) and (x – 2) as written.
Step-by-step explanation:
B is the correct answer.
