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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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3 years ago
Joseph earns $15 for every lawn he mows in the amount of money he earns proportional to the number of long as he mows make a tab
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Answer:

15x = y

Step-by-step explanation:


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Order the numbers from least to greatest put the lowest number on the left 3/4 2/3 and 3/8​
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Hey there!

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6 0
3 years ago
Two sides of a triangle are equal in length and double the length of the shortest side . The perimeter of the triangle is 36 inc
Firdavs [7]

Answer:

The length of the sides of the triangle are as follow: Two sides are 14.4 inches long and the shortest is 7.2 inches.

Step-by-step explanation:

P = 36in // perimeter of triangle

P = A + B + C //equation for perimeter of a triangle

A = B or B = A //Showing that two sides are equal in length

A = 2C and B = 2C //Showing that the two equal sides are each doubled of the shortest side

C = A/2 and C = B/2 //Showing the same thing as the top, but in terms of the shortest side

Solve for C //First we solve for the shortest side as it's easiest

36 = A + B + C

36 = 2C + 2C + C //Use substitution for A and B

36 = 5C

C = 7.2in

Solve for A

A = 2C

A = 2(7.2) //Use what we solved for C

A = 14.4in

Solve for B

B = A

B = 14.4in //Same as A

Check Work

P = A + B + C

P = 14.4 + 14.4 + 7.2

P = 36

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3 years ago
What two numbers multiply to be -12 and add to be 1
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It’s 4 and negative 3
7 0
2 years ago
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