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sveta [45]
3 years ago
11

The sphere at the right fits snugly inside a cube with 8​-in. edges. What is the approximate volume of the space between the sph

ere and​ cube?
Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:the answer is

Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

:

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

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Minh wanted to measure the height of a statue. She lined herself up with the staues shadow so that the tip of her shadow met the
OLEGan [10]

The height of the statue is of 35 feet, applying similarity of triangles.

<h3>What are similar triangles?</h3>

Similar triangles are triangles that have congruent angle measures, thus the measures of their side lengths are proportional. This relation can be proven from the law of sines.

In the context of this problem, there are two similar right triangles, in which:

  • Minh's height of 5 feet is proportional to the statue's height of x.
  • The base formed by Minh's height, of 12 ft, is proportional to the base formed by the statue's height, of 84 ft.

Hence the following proportional relationship is established:

5/x = 12/84

Applying cross multiplication, it is found that:

12x = 84 x 5

Simplifying by 12, the expression is written as follows:

x = 7 x 5 (as 84/12 = 7).

x = 35 feet, which is the height of the statue.

A similar problem, also involving similarity of triangles, is presented at brainly.com/question/305520

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7 0
1 year ago
What is the percent of $12 off $48
Alinara [238K]
Percent means per one-hundred....

48(p/100)=12

48p=1200

p=25%

So $12 off of a $48 item is 25% off.
8 0
3 years ago
Need help with this question asap
bija089 [108]

Answer:D

Step-by-step explanation:

5 0
3 years ago
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stiks02 [169]
It’s answer C f of x will increase and will pass g of x. Also because f(x) is linear and g(x) is exponential.
5 0
2 years ago
What is the surface area of the above composite object made out of two rectangular prisms?
aleksandrvk [35]

Answer:

  550 mm^2

Step-by-step explanation:

A net can be drawn as shown in the first figure attached. Each square represents 5 mm by 5 mm, so is 25 mm^2. Altogether, there are 22 of them, so the total area is ...

  (25 mm^2)·22 = 550 mm^2

The second attachment shows that net folded up to make the given figure.

_____

In the first attachment, the green shades represent the left- and right-side faces. (Darker green is left side.) The red and blue shades represent the front- and back-side faces. The white rectangles represent the top and bottom faces. The dark black lines are the cut lines. If you want to fold the figure up, the lighter lines are the fold lines.

The second attachment is just verification that all faces are accounted for and the net actually corresponds to the given figure.

4 0
3 years ago
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