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3 years ago

Assuming that the petals of the flower are congruent, what is the angle of rotation of the figureA.30°C.72°B.60°D.90°e?

Mathematics

2 answers:

vodomira [7]3 years ago

8 0

The answer is C. <span>72°. I hope this helps you.</span>

suter [353]3 years ago

4 0

A because I did the work and I just know its right

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If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the

Brrunno [24]

Answer:

$\left(100\pi - 150\sqrt{3}\right)$ square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be $10$ inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment $\sf CH$ be a height on side $\sf AB$ . Since this triangle is equilateral, the size of each internal angle will be $\sf 60^\circ$ . The length of segment

$\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}$ .

The area (in square inches) of this equilateral triangle will be:

$\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}$ .

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

$\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}$ .

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is $10$ inches, the radius of this circle will also be $10$ inches.

The area (in square inches) of a circle of radius $10$ inches is:

$\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi$ .

The area (in square inches) of the circle that the hexagon did not cover would be:

$\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}$ .

3 0

3 years ago

15/3 + (6,5 + 4,2) - 0,6 <br><br> Please show your work, thank you :)

kifflom [539]

Answer:

15/3 + (6.5 + 4.2) - 0.6 = 15.1

Step-by-step explanation:

You can first reduce the fraction to 5 when you multiply by 3, then calculate what's in the parenthesis. So now you have 5 + 10.7 - 0.6, then just solve from left to right. Hope this helps

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3 years ago

A newspaper ad includes a telephone number 1-555-dial vsw. How many seven letter arrangements are possible for the phone number

trapecia [35]

Let u be the set of all words containing 7 letters(26 letters to the power 7)

7 0

3 years ago

Kyra is framing a square painting with side lengths of (x + 6) inches.

mariarad [96]

Answer:

me dont know man why yall givin me this question

Step-by-step explanation:

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3 0

4 years ago

How to find the average rate of change of a function

ollegr [7]

ANSWER

Average Rate of Change

$= \frac{f(b) - f(a)}{b - a}$

EXPLANATION

To find the average rate of change of y=f(x) from x=a to x=b means finding the slope of the secant line joining the points

(a,f(a)) and (b,f(b))

The slope of the secant line joining these points is

$= \frac{f(b) - f(a)}{b - a}$

This gives the average rate of change of the function.

5 0

3 years ago