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:
yes
Step-by-step explanation:
Answer:
<h2>f(x - k) = (x - k)²⇒ k = 5</h2>
Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==============================================
Look at the picture.
The graph has been shifted 5 units to the right.
Therefore we have f(x - 5).
Answer:
28/53
Step-by-step explanation:
Hey There!
So they want us to find the sine of angle S
well remember is sohcahtoa
S - sine
O - opposite
H - hypotenuse
meaning that
The opposite side of angle S is 28 and the hypotenuse is 53
so 
Answer:
x=-6
QUESTION 31
Step-by-step explanation:
3x+5=2x-1
Subtract 5 from both sides
3x+5-5=2x-1-5
Simplify
3x=2x-6
Subtract 2x from both sides
3x-2x=2x-6-2x
QUESTION 32
1/3(6x+12) = 1/2(4x-8) + 8
1/2(4x-8) = 4x-8/2 +8
1/3(6x+12) = 4x-8/2 +8
2(6x+12) = 12(x-2) + 48
12x+24
12x+24 = 12x+24
12x+24 - 24 = 12x+24 - 24
12x=12x
0=0
