Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
Answer:
4x - 12y = -1
Step-by-step explanation:
Standard form Ax +By = C
12y = 4x + 1
0 = 4x - 12y +1 Substract 12y from both sides
-1 = 4x - 12y as 4x - 12y = -1 Substract -1 from both sides
I'm here to help. Those 3 points all lie on the same line. We know this because if we find the slope between any 2 of those points, it is the same. I'll show you:
. Now another 2 points:
. The same holds for the first and third points. So we got that out of the way. Now we will pick any one of those points and use the x and y values and our slope to write an equation of that line and then finally solve for the x and y intercepts. I'm going to use the first point (10, 20):
. We will simplify to get it into y = mx + b form:
and
and finally,
. The y-intercept exists when x = 0, so when x = 0, y = 36. The x-intercept exists when y = 0, so when y = 0, x = 22.5. In summary, y-intercept: (0, 36). x-intercept: (22.5, 0) and you're all done!
<u>Answer-</u>
The measurement of angle A' will be 130° .
<u>Solution-</u>
Transformations like - rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent.
It doesn't matter the order or how much degree of rotation has taken place, the final image will be congruent to the original image.
So, even after the rotation of 90° clockwise around the origin, the measurement of angle A will be 130° and so do all the rest of the angles.
