Answer:
α ≈ 76°
Step-by-step explanation:
The vertices of a rectangle are right , that is 90°
Using the tangent ratio in right triangle ABC
tanα =
=
=
= 4, then
α =
(4) ≈ 76° ( to the nearest degree )
Answer:
The dimensions are 5 m by 20 m.
Step-by-step explanation:
The area = length * width = 100 m^2.
2 times the width + the length = 30 m.
So we have the equations:
wL = 100
2w + L = 30
From the first equation:
L = 100/w so substituting in the second equation, we have:
2w + 100/w = 30
Multiply through by w:
2w^2 + 100 = 30w
2w^2 - 30w + 100 = 0 Divide by 2:
w^2 - 15w + 50 = 0
(w - 5)(w - 10) =
w = 5 or 10m.
So L = 100/5 or 100/10
= 20 or 10.
As it is rectangular then w = 5 and L = 20.
Answer:
9/49
Step-by-step explanation:
The probability of landing on an even number is 3/7.
Because there are only 3 numbers even out of 7 total numbers.


Answer:
A reflection over the x-axis since it horizontal