What is i divided by i<br><img src="https://tex.z-dn.net/?f=i%20%5Cdiv%20i" id="TexFormula1" title="i \div i" alt="i \div i" ali

A circle is cut into congruent sections and arranged to form a figure that approximates a parallelogram. Find the approximate he

Solnce55 [7]

Answer:

<h2>The height is 3.43 centimeters, approximately.</h2>

Step-by-step explanation:

Notice that there are 16 pieces from the circle, which means each sector has an angle of

$\theta = \frac{360\°}{16}=22.5\°$

Where all sectors have equal area.

Now, the area of the whole circle is $12.25 \pi \ cm^{2}$ , if we use the formula of its area, we'll find the radius of the circle

$A= \pi r^{2}\\ 12.25\pi = \pi r^{2}\\ r=\sqrt{12.25} \approx 3.5$

Notice that each piece works as an isosceles triangle, because each side is the radius, that is, they have the same length. So far, we know the sides of the isosceles triangle and one internal angle.

To find the height of the one piece, we need to use trigonometric reasons, because the height divides a triangle in two equal right triangles.

$cos(11.25\°)=\frac{h}{3.5}\\ h=3.5 \times cos(11.25 \°)\\h \approx 3.43$

Therefore, the height is 3.43 centimeters, approximately.

6 0

3 years ago

Explain the transitive property in words that a child could understand.

madreJ [45]

The transitive property is a chain rule for the variables a, b and c.

It states that if a is equal to b and b is equal to c then a is equal to c.

If a = b and b = c then a = c.

4 0

3 years ago

Multiply. Write your answer in simplest form.<br> -√2(-2+√5)

vova2212 [387]

Step-by-step explanation:

this is all I can find I hope it helps you out us not I'm sorry

7 0

3 years ago

A quadratic function has zeros -7 and 9. What are the linear factors of the function?

garik1379 [7]

Answer:

(x+7)(x-9) = 0

Step-by-step explanation:

x + 7 = 0

x = -7

x - 9 = 0

x = 9

4 0

3 years ago

Vertically stretched by a factor of 2, then translated<br> 4 units left and 1 unit down

drek231 [11]

A vertical stretch of scale factor 2, followed by a translation of 4 units left and 1 unit down is written as:

g(x) = 2*f(x + 4) - 1

<h3>How to write the given transformation?</h3>

For a general function f(x), a vertical stretch of scale factor K is written as:

g(x) = K*f(x).

<u><em>Horizontal translation:</em></u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.
If N is negative, the shift is to the right.

<u><em>Vertical translation:</em></u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.
If N is negative, the shift is downwards.

So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:

g(x) = 2*f(x)

Then we translate it 4 units left:

g(x) = 2*f(x + 4)

Then we translate 1 unit down:

g(x) = 2*f(x + 4) - 1

This is the equation for the transformation.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0

2 years ago