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pashok25 [27]
3 years ago
12

A square with sides of 3 squareroot 2 is inscribed in a circle. what is the area of one of the sectors formed by the radii to th

e vertices of the square
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2).  Draw this to verify this statement.  Note that the height of each such triangular area is (3 sqrt(2))/2.

So now we have the base and height of one of the triangular sections.

The area of a triangle is A = (1/2) (base) (height).  Subst. the values discussed above,   A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2).  Show that this boils down to A = 9/2.

You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section.   Doing the problem this way, we get (1/4) (3 sqrt(2) )^2.  Thus, 
A = (1/4) (9 * 2) = (9/2).  Same answer as before. 
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A Web music store offers two versions of a popular song. The size of the standard version is 2.1 megabytes (MB). The size of the
liq [111]
If the number of downloads of the standard version is x, and the high quality is x, 2.1*x+4.1*y=2761 (not 1010 due to that this is multiplied by 2.1 and 4.1, therefore representing the total amount of megabytes) In addition, there are 1010 total downloads, and it's either 2.1 MB or 4.1 MB, so x+y=1010.

We have 
2.1x+4.1y=2761
x+y=1010

Multiplying the second equation by -2.1 and adding it to the first equation, we get 2y=2761-1010*2.1=640 and by dividing both sides by 2 we get y=320 downloads of the high quality version


5 0
3 years ago
6 × 3 − (4 × 3) + 16 ÷ 4 = 11
rjkz [21]

Answer:

2

Step-by-step explanation:

6x3 = 18

4x3 = 12

18 - 12 = 6

16 / 4 = 4

6 - 4 = 2

4 0
3 years ago
Logan measured a line to be 7.4 inches long. If the actual length of the line is 7.7 inches, then what was the percent error of
Tanzania [10]

Answer:

4.0541

Step-by-step explanation:

I don't know if this is correct but this is what I got.

You would take the error and divide it by the theoretical value and then multiply that by 100.

7.7 - 7.4 = 0.3

0.3 ÷ 7.4 = 0.04054054

0.04054054 x 100 = 4.05405405 (simplify) = 4.0541%

Hope I helped in any way

8 0
2 years ago
The volume of the rectangular solid below is 1,440 cubic inches. What could be the length and width of this rectangular solid?
Rudik [331]

C. 8 inches by 20 inches

5 0
3 years ago
(2 + 5i)(2 + i) <br><br> please help me to understand how to do it
Tpy6a [65]
<span>(2 + 5i)(2 + i) 
= 4 + 10i + 2i + 5i^2
= 4 + 12i + 5i^2</span>
8 0
3 years ago
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