From V= 4/3*pi*r^3
<span>dV/dt = 4pi(r^2)dr/dt </span>
<span>so when dV/dt=30 and r = 19 </span>
<span>30 = 4pi(361)dr/dt </span>
<span>dr/dt = 30/[4pi(361)] </span>
<span>now in </span>
<span>A = 4pir^2 </span>
<span>dA/dt = 8pi(r)dr/dt </span>
<span>= 8pi(19)*30/[4pi(361)] </span>
<span>= you finish it.</span>
<span>HOPE THIS HELPS.
</span>
Answer:
B. (12-6) n - 50
Step-by-step explanation:
Given that:
Cost of making hat = $6 per hat
Selling price = $12 per hat
Advert cost = $50
Number of hats made = n
The profit or money raised from the sales of hat:
Total Revenue from sales - total cost of production - advert cost
Total Revenue from sales = ($12 * n) = $12n
Total cost of production = ($6 * n) = $6n
Advert cost = $50
Hence,
12n - (6n + 50)
12n - 6n - 50
(12 - 6)n - 50
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.
Triangles ABC and A'B'C are similar. This means that the corresponding sides are in the same ratio, in this case:
Replacing with data:
