The circumference of the circle, 2πr, is the measure completely around the circle. When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom. This means the base will be 1/2(2πr).

The approximate height of the parallelogram is the radius of the circle; this makes the area

A = 1/2(2πr)(r)

7 0

3 years ago

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Given f(x) = x2 - 10x + 22, what is the domain of f

Lesechka [4]

<h2><u>Answer:</u></h2><h2>Polynomials have the domain of all Reals. Plugging any Real number into the equation will give you a value. </h2><h2>Domain = {x|x∈R}</h2><h2><u></u></h2><h2><u> Step-by-step explanation:</u></h2><h2>The range is dependent on the curve itself. The axis of symmetry for this function is</h2><h2>x = -b/2a = -1(-10)/2(1) = 10/2 = 5 </h2><h2>The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8</h2><h2>Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum. It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}</h2>

<h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

4 0

3 years ago

A bicyclist covered 5/7 of his route and an additional 40 miles. He has yet to cover 118 miles less than 0.75 of his route. How

Liula [17]

Answer:

168 miles.

Step-by-step explanation:

5/7x+40+0.75x−118=x

Step 1: Simplify both sides of the equation.

5/7x+40+0.75x−118=x

5/7x+40+0.75x+−118=x

(5/7x+0.75x)+(40+−118)=x(Combine Like Terms)

1.464286x+−78=x

1.464286x−78=x

Step 2: Subtract x from both sides.

1.464286x−78−x=x−x

0.464286x−78=0

Step 3: Add 78 to both sides.

0.464286x−78+78=0+78

0.464286x=78

Step 4: Divide both sides by 0.464286.

0.464286x/0.464286=78/0.464286

x=168

6 0

3 years ago