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photoshop1234 [79]
3 years ago
13

The surface area of a globe in Mr. Patton's classroom is about 152.39 square inches. Find its

Mathematics
1 answer:
Snezhnost [94]3 years ago
6 0

Answer:

176.89in^3

Step-by-step explanation:

when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!

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Anton [14]

Answer:

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3 0
2 years ago
I’ll give you 20 points if you help me
Nat2105 [25]

Answer:

  f(g(x)) = 2x +(-5)

Step-by-step explanation:

Put the argument value into the function and simplify the result.

  f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1

  f(g(x)) = 2x +(-5)

8 0
3 years ago
Lucy’s rectangular garden is 15ft long and 12 ft wide. She adds a right triangle to her garden plan, so that the triangle’s heig
KIM [24]
Okay, so lets break this down.

First of all, we have the rectangular garden with a length of 15ft and a width of 12feet.  We need to find the area of this which is pretty simple.  This would be 15ft times 12ft which is 180ft².

Okay, now time for the triangle.  The way that it words it may be confusing but I can draw you a picture of what it looks like (its a quick draw so it looks kinda bad).

But, for the triangle we are going to extend the 12ft line (shorter side; width) and create a line that is 7 feet long.  Then, we are going to find the midpoint of the 15ft side and connect that with the end point of the triangle.

Since its on the longer side and its the midpoint, the triangle is going to have a base of 7.5ft (half of 15).  Then, the height is 7ft as included in the question.

Now to solve the area of a right triangle, you can use 1/2(bh).  So 1/2 of the base times height.

This is 1/2 of (7.5*7) which is 1/2(52.5) and finally the area of the triangle is 26.25ft².

Now, all you gotta do is add the 26.25ft² and the 180ft² together and you get 206.25ft²

4 0
3 years ago
According to postal regulations, a carton is classified as "oversized" if the sum of its height and girth (the perimeter of its
Amanda [17]

Answer:

V(max) =  8712.07 in³

Dimensions:

x (side of the square base)  = 16.33 in

girth   = 65.32 in

height = 32.67 in

Step-by-step explanation:

Let

x  = side of the square base

h = the height of the postal

Then according to problem statement we have:

girth = 4*x     (perimeter of the base)

and

4* x  +  h  = 98  (at the most)   so   h = 98 - 4x  (1)

Then

V = x²*h

V = x²* ( 98 - 4x)

V(x) = 98*x² - 4x³

Taking dervatives (both menbers of the equation we have:

V´(x)  =  196 x   -  12 x²        ⇒   V´(x) = 0

196x - 12x²  = 0   first root of the equation  x = 0

Then   196 -12x = 0      12x = 196     x = 196/12

x = 16,33 in      ⇒    girth = 4 * (16.33)       ⇒ girth = 65.32 in

and from equation (1)

y = 98 - 4x       ⇒  y = 98 -4 (16,33)

y = 32.67 in

and maximun volume of a carton V is

V(max) = (16,33)²* 32,67

V(max) = 8712.07 in³

3 0
3 years ago
What is the domain of the function?
kozerog [31]
The index of the root 3 is an odd number, then x can be either positive or negative, then 
Domain of the function = R = (-Infinitive, Infinitive)
R. All real numbers

Answer: First option -Infinitive < x < Infinitive
6 0
3 years ago
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