Answer:
Surface area of the prism = 340 cm²
Step-by-step explanation:
Surface area of the prism given in the figure,
Surface area = Two pentagonal bases of the prism + Area of the five lateral rectangular sides
Area of the pentagonal base =
Here 'a' = apothem of the pentagon
P = Perimeter of the pentagon
P = 5×5 = 25 cm
a = 3.6 cm
Area of the pentagon =
= 45 cm²
Area of a rectangular lateral side = Length × width
= 10 × 5
= 50 cm²
Area of the prism = 2(Area of pentagonal base) + 5(Area of one rectangular side)
= 2(45) + 5(50)
= 90 + 250
= 340 cm²
Therefore, surface area of the given prism = 340 cm²
If 21 is the final answer to the equation then x would be 9
Well all you have to do is 200 divided by 25, which is 8 so that would be your answer, unless there is another part to this question.
The resulting solid will be a cylinder with a base radius of 14 cm and a height of 24cm. Then the correct option is D.
<h3>What is a cylinder?</h3>
A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
The perimeter of the rectangle shown is 76 cm.
It is rotated about line b. A rectangle with a perimeter of 76 centimeters is shown.
The rectangle is rotated about line b at a side with a length of 24 centimeters.
Another side (x) of the rectangle will be
then x is 14 cm
Then the resulting solid will be a cylinder of a base radius of 14 cm and height of 24cm. Then the correct option is D.
More about the cylinder link is given below.
brainly.com/question/3692256
Answer:
dA/dt = 169,56 in²/min
Step-by-step explanation:
We have a circular puddle and its area is:
A = π*r² (1) r is the radius of the circular puddle
Differentiating on both sides of the equation we get:
dA/dt = π*2*r*dr/dt (1)
In that expression we know
r = 9 inches and dr/dt = 3 in/min. Therefore plugging these values in equation (1)
dA/dt = π*2*9*3
dA/dt = 169,56 in²/min