Answer:
72°
Step-by-step explanation:
The cookie has a shape of a circle. A circle is the locus of a point such that its distance from a point (center) is always the same. The sum of angles around the circle center is 360°.
Let x be the measure of the angle in each slice. Therefore the sum of the total 5 slice is:
x + x + x + x + x = 360
5x = 360
Dividing through by 5:
5x / 5 = 360 / 5
x = 72°
Each slice has an angle measure of 72°
Answer:
y - 4 = 
(x - 7)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (7, 4)
m = 
=
Use either of the 2 points for (a, b)
Using (7, 4), then
y - 4 = (x - 7) ← in point- slope form
Answer:
Evan needs enough paint to cover 448in^2
He needs enough soil to fill 768in^3
Step-by-step explanation:
Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
