Answer:
c
they will both have to intersect since you have a negative and positive number. Hope it helps.
Step-by-step explanation:
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
Hey there! :)
Answer:
First choice. 36/100 or 36%.
Step-by-step explanation:
Total # of squares:
10 × 10 = 100 squares.
# of squares shaded:
6 × 6 = 36 squares.
shaded/total to find the percent shaded:
Fraction: 36/100
Percentage: 36/100 × 100 = 36%.
Answer:
We can define a horizontal dilation/contraction of scale factor A, as:
g(x) = f(x*A)
if A > 1, this will be a contraction (it will be steeper)
if 0 < A < 1, this will be a dilation. (it will be less steep)
Then if we have:
g(x) = f(6*x) we have a contraction of scale factor 6, this means that the graph of the parent function will be contracted.
Below, you can see how the graphs change, where:
Blue is f(x) =x
green is g(x) = f(6*x) = 6*x
