Answer:
= 8p
Step-by-step explanation:
Steps
2p · 4
Remove parentheses: (a) = a
= 2p · 4
Multiply the numbers: 2 · 4 = 8
= 8p
Answer:
Equation of a line is y = mx + c
where
m = slope
c = y intercept
y = 1/6x - 3
Comparing with the above formula
m = 1/6
Since the lines are parallel their slope are also the same
So the equation of the line using point (-4,2) is
y - 2 = 1/6( x + 4)
y - 2 = 1/6x + 2/3
y = 1/6x + 2/3 + 2
y = 1/6x + 8/3
Hope this helps
Answer:
C
Step-by-step explanation:
16 ounces is equal to 1 pound
Divide 54 by 16 and you get 3.375
You know that there are 3 pounds now, so subtract 3 from what you got to get 0.375
Now multiply 0.375 by 16 to turn it back into ounces, which is 6
3 pounds and 6 ounces is answer choice C
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!
