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!
24 more than 12 times a number
Answer:
A) 199 to 426 students
Step-by-step explanation:
We add and subtract the margin of error on the original percentage
This leaves us with 30% and 14%
30% of 1420 is 426
14% of 1420 199 (rounded to whole number)
A- Veronica —> v=5+2m
Total —> v+m=32
B- since you already know that to get veronica’s number of stuffed animals, you need to use v=5+2m, you need to substitute it in the total equation. So it’ll be:
(5+2m)+m=32
(5+2m) represents veronica’s stuffed animals
m represents Mariposa’s stuffed animals
C- Mariposa —> 9
Veronica —> 23
