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!
Answer:10-3
2-4
Step-by-step explanation:
Circumference = πD
πD = 56.52
D = 17.99 in
Area of the pizza = π (17.99 ÷ 2)² = 254.19 in²
Area of the pizza eaten = 254.19 ÷ 4 = 63.55 in²
Area of the pizza remain = 254.19 - 63.55 = 190.64 in²
Answer: 190.64 in²
Distance = rate times time. Thus,
d = (68 mph) (5.25 hrs) = 357 miles (answer)
Answer:
Step-by-step explanation:
Let X= each ticket for adults and Y= each ticket for kids
x+y=548
6.50x+3.50y=2881
subtract x from each side leaving you with y= -x+548
Plug in for Y
6.50x+3.50(-x+548)=2881
6.50x - 3.50x + 1918= 2881
3x+1918=2881 ....subtract
3x=963 .....divide by 3
X= 321 tickets for adults
321+y=548 ...subtract 321
Y=227 childrens tickets
