Answer:
x = 58°
Step-by-step explanation:
Length of tangents drawn to a circle from a point outside the circle, are equal in measure.
By using this property,
Two tangents PQ and PR will be equal.
And angles opposite to these sides will be equal.
Therefore, ∠PQR ≅ ∠PRQ
By triangle sum theorem,
m∠PQR + m∠PRQ + m∠QPR = 180°
x° + x° + 64° = 180°
2x = 180 - 64
2x = 116
x = 58°
Answer:
The maximum amount of time that the ballroom can be rented is 3.4 h.
Step-by-step explanation:
In order to find the maximum amount of time the ballroom can be rented we can create an inequality in such a way that the cost must be less or equal to $80.58, which is the amount of money that is available. So we have:
c = 23.7*h
80.58 >= 23.7*h
23.7*h =< 80.58
h =< 80.58 / 23.7
h =< 3.4 h
The maximum amount of time that the ballroom can be rented is 3.4 h.
The "standard" parabola with roots 0 and 2 is
All multiples of this parabola, i.e.
have the same roots. We can choose the factor such that the parabola passes through the desided point: if we plug 1, 5 for x, y we have
So, our claim is that the parabola
has roots 0 and 2 and vertex at (1, 5).
You can easily verify this: the roots are guaranteed by the fact that we can write the equation as
The vertex must be at x=1, because it's the midpoint of the roots. Moreover, if we evaluate the function at x=1 we have
as required.
Answer:
Step-by-step explanation:
The formula for the circumference of a circle is
We can plug 74 inches in for d...