swag123456

To find the diameter of the circle, we need to use the pythagorean theorem and use it on one of the triangles in the rectangle.

Pythagorean theorem: \(a^2+b^2=c^2\)

Lets replace a with 21 and b with 20 to get the equation \(21^2+20^2=c^2\)

Simplifying the left side gives us \(841=c^2\)

which means that \(c = \sqrt{841}\) which is exactly \(29\)

Now that we know the diameter of the circle, we can find the area.

The formula for the area of a circle is \(𝜋r^2\), r being the radius.

We can find the radius by dividing 29 by 2, 14.5
Using the formula, we get A ≈ 660.52

So the area of the circle is about 660.52

To find the area of the rectangle inside the circle, we multiply the length by the width.

21*20=420

Now we subtract 420 from 660.52

660.52-420 = 240.52

Every quadrilateral has 360 degrees

1 and 2 both have equal angles, so we can add 48 and 90 to get 138

Subtract 138 from 360 to get 222

Now we have to divide 222 in half, since we need to find the angle of one of the numbered angles

222/2 is 111

We can check this by adding all of the angles together and making sure that they equal 360

111+111+48+90=360

So the answer is 111 degrees

Correct me if im wrong! 

We can separate the arrow into 2 shapes, a triangle at the top and rectangle at the bottom

To find the base of the triangle we need to add 2+10+2, which is 14. Now we need the height of the triangle, which is 24-17 = 7

The formula for the area of a triangle is \(\frac{bh}{2}\). If the base is 14 and the height is 7, we get A = 49

Now we need the area of the rectangle.

The problem already gave the length and width, 17 and 10.

The formula for the area of a rectangle is \(l(w)\)

Multiplying 17 and 10 together, we get 170.

Now we need to add 49 and 170 to get the area of the whole figure.

49+170 = 219

So the answer is 219 units squared

Correct me if i'm wrong! 

Pythagorean Theorem: \(a^2+b^2=c^2\)

a and b are the legs of the triangle and c is the hypotenuse

Keep in mind that the Pythagorean Theorem only works on right triangles

Replacing a with 12 and c with 144 we get \(12^2 + b ^2 = 144^2\)

which becomes \(144+b^2 = 20736\)

Now we subtract 144 from 20736 and get \(b^2 = 20592\)

so \(b = \sqrt{20592}\) which is about 143.499128...

Rounding that to the nearest tenth we get 143.5

So the answer is 143.5 inches

Correct me if im wrong! 

6(7+5) + 3 = 75

The bottom triangle's base is 3 ft and its height is 2.6 ft.

Using the formula for the area of a triangle, \(\frac{bh}{2}\), we get 3.9 square feet.

Now for the rest of the triangles

All 3 of the other triangles have the same base and height. The base is 3 and the height is 4.

Using the formula for the area of a triangle, we get 6 square feet. There's 3 of these triangles, so we multiply 6 by 3, getting 18.

Now we add 3.9 and 18

So the answer is 21.9 square feet

Let s mean the can of soup and d mean the frozen dinner.

If Madison purchased 2 more frozen dinners than cans of soup, then we have the equation \(d = s + 2\)

If each can of soup has 500 mg , each dinner is 700 mg, and that she bought 7400 mg of sodium total, we can come up with the equation \(500s + 700d = 7400\)

Replacing the d in \(500s + 700d = 7400\) with s + 2, we get the equation \(500s+700(s+2) = 7400\)

Using the distributive formula, we get

\(500s+700s+1400=7400\)

Simplifying this equation gives \(1200s = 6000\)

6000/1200 = 5

so s = 5

if d = s + 2, d must equal 7

So Madison ordered 5 cans of soup and 7 frozen dinners.

Correct me if im wrong 

D

https://www.desmos.com/calculator/hv48lroccp

The blue line, D, has a vertex of (5,12) and it passes through (8,9)

if you add two polynomials together, the degree of that new polynomial will be the greater degree between the two polynomials

so the answer is 11, the degree of p(x)