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!
3x - 7 = 2x - 5<em> add 7 to both sides</em>
3x = 2x + 2 <em>subtract 2x from borh sides</em>
<h3>x = 2</h3>
Check:
L = 3(2) - 7 = 6 - 7 = -1
R = 2(2) - 5 = 4 - 5 = -1
L = R CORRECT! :)
Answer:
15 early tickets were sold and 5 regular tickets were sold.
Step-by-step explanation:
Let x be the number of early bird tickets sold and y be the number of regular tickets sold.
Total number of tickets sold = 20
Thus, we can write the equation,

Cost of early bird ticket = $10
Cost of regular tickets = $15
Total cost = $225
Thus, we can write the equation,

We solve the equation by elimination method by multiplying first equation by 10 and subtracting.

Thus, 15 early tickets were sold and 5 regular tickets were sold.
I took that at grade 3 but I forgot it I am sorry
Answer:
33 tiles
Step-by-step explanation:
Given

Required
Determine the number of tiles in 11 points
Represent this with x. So, we have:


Cross Multiply

Multiply through by 3

