Answer:
384 cm^3
Step-by-step explanation:
Use the formula to find the volume.
Volume = Area of the base x the height
V = Bh
V = 32(12)
V = 384 cm^3
Answer:
c
Step-by-step explanation:
Answer: c = 4.97 and c = -1.97
Step-by-step explanation: <u>Mean Value Theorem</u> states if a function f(x) is continuous on interval [a,b] and differentiable on (a,b), there is at least one value c in the interval (a<c<b) such that:

So, for the function f(x) =
on interval [-4,9]

f(-4) = 
f(-4) = 113
f(9) = 
f(9) = 100
Calculating average:



Resolving through Bhaskara:
c = 
c =
= 4.97
c =
= -1.97
<u>Both values of c exist inside the interval [-4,9], so both values are mean slope: c = 4.97 and c = -1.97</u>
Answer:
Sorry that is toooooooooooooooooooooo much
Step-by-step explanation:
Answer:
The perimeter of the plaque is 28 inches.
Step-by-step explanation:
Given : A house number is displayed on a plaque in the shape of a regular 7-sided polygon. The area of the plaque is 70 squared inches. The perpendicular distance from a side to the center is 5 inches to the nearest inch.
To find : What is the perimeter of the plaque?
Solution :
The 7-sided polygon can be divided into seven triangles whose height, h is equal to the perpendicular distance from each side to the center.
The base of each triangle is equal to the length of a side, s.
The area of each triangle is 
The area of the whole polygon is 
Now, the perimeter of a regular 7-sided polygon is
.
Substitute in area,

We have given, 



The perimeter of the plaque is 28 inches.