Answer:
A. The initial value is 100; it represents money left over from last year's fundraiser
Step-by-step explanation:
Answer:
(y - 6) = 3/5(x - 5)
Step-by-step explanation:
First, let's look at what point-slope form is: (y - y₁) = m(x - x₁)
Let's plug in the vallues we know.
m is the slope: 3/5
x₁ is 5
y₁ is 6
Therefore:
(y - 6) = 3/5(x - 5)
This is your equation.
Hope this helps!
Step-by-step explanation:
b is per the identity of angles on parallel lines when intersected by one inclined line the same as the 40° angle.
so,
b = 40°
due to the parallel nature of the 2 lines there is a symmetry effect for such shapes inscribed a circle. the upper and the lower triangle must be similar. and when applying a vertical line through the central crossing point, everything to the left is mirrored by everything on the right.
so, angle c must be equal to angle b.
c = 40°
and as the sum of all angles in a triangle is always 180°, d is then
d = 180 - 40 - 40 = 100°
the interior angle of the arc angle a is the supplementary angle of d (together they are 180°), because together with d they cover the full down side of the top-left to bottom-right line.
interior angle to a = 180 - 100 = 80°
due to the symmetry again, the arc angle opposite to a is the same as a.
as we know, the interior angle to a pair of opposing arc angles is the mean value of the 2 angles.
so, we have
(a + a)/2 = 80
2a/2 = 80
a = 80°
there might (and actually should) be some more direct approaches for "a" out of the other pieces of information, but that was the most straight one right out of my mind, and I don't spend time on finding additional shortcuts, when I have already a working approach.
Answer:
11 yards
Step-by-step explanation:
The volume of a cone formula is:

Where V is the volume,
r is the radius (half of diameter)
h is the height
Given,
h = 15
V = 475.17
We find the radius (r) first by substituting given values:

The radius (r) is 5.5 yards
We need the diameter, which is DOUBLE THE RADIUS, so diameter would be:
Diameter = 5.5 * 2 = 11 yards
Answer:
$319.43
Step-by-step explanation:
Monday= 4 * $11.52= $46.08
Tuesday= 4.5 * $11.52= $51.84
Thursday= 7.25 * $11.52= $83.27
Saturday= 12 * $11.52= $138.24
When you add all of those together you get $319.43
hope this helped (:
(this took so long so this better be right...<3)