Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
Answer:
D
Step-by-step explanation:
You would do D because the other options aren't that random. Randomly choosing employees <em>is</em> a random sample and will give you a valid answer.
Answer:
and
Step-by-step explanation:
we have the coordinates
A(2,7),B(2,2),C(7,6)
we know that
The mid segment of triangle ABC that is parallel to line AB is located between the mid point AC and the mid point BC
The formula to calculate the midpoint between two points is equal to
step 1
Find the mid point AC
we have
A(2,7),C(7,6)
substitute in the formula
step 2
Find the mid point BC
we have
B(2,2),C(7,6)
substitute in the formula
therefore
The endpoints of the mid segment of triangle ABC that is parallel to line AB are and
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
Answer:
I'm sorry this isn't the answer, but I just want you to know that you are incredible and that I love you for you! You are special to everyone you meet, and should not change who you are. I know your life may be tough, but you are strong and can get through it!
Step-by-step explanation: