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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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Is the number even or odd?<br>2018−2017+2016−2015 + . . . +2–1
scoundrel [369]

Answer:

It is the odd number 1009

Step-by-step explanation:

Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.

2018 - 2017 = 1

2016 - 2015 = 1

...

4- 3 = 1

2 - 1 = 1

That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.

5 0
3 years ago
Find the slope given points (3,2) (4,7)
snow_lady [41]

Answer: The slope is 5.

Step-by-step explanation: Use formula: (y2-y1)/(x2-x1)

(7-2)/(4-3)

5/1 = 5

Have a nice day! :)

6 0
2 years ago
What is the midpoint of the segment shown below? (-2, 3) (10, 3)
sergeinik [125]

Answer:

That point P(x,y)

x = (-2+10)/2 = 4

y = (3+3)/2 = 3

=> P (4,3)

5 0
3 years ago
There are 5 more than twice as many students taking Algebra 1 than taking Algebra 2. If there are 44 students taking Algebra 2,
natima [27]

Answer: 54

Step-by-step explanation:

6 0
3 years ago
The length of the side of square A is 50% of the length of the side of square b
galben [10]

Answer:

25%

Step-by-step explanation:

let length of 1st square be x and second be y

then

A/q

x = y/2

area of first square = x^2 = (y/2)^2 = (y^2)/4

and

area of second square = y^ 2

so from sbove two lines

area of first square = 1/4 * area of second square

= 1/4 *100%

so..

area of first sqare = 25% of area of second square

8 0
3 years ago
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