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3 years ago

Help me with this please

Mathematics

1 answer:

bulgar [2K]3 years ago

5 0

$\huge \color{Lime} Answer:$

$\medium \color{Red} Cone$

$\medium \color{Yellow} Cylinder$

$\medium \color{Purple} Rectangular Prism$

$\medium \color{Green} Triangular Prism$

$\medium \color{Blue} Rectangular Pyramid$

<h2>Watch carefully because Cylinder and Rectangular Prism changed position.</h2>

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Which of he following is proved by utilizing deductive reasoning ?

kow [346]

Your answer would be postulates.

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3 years ago

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

Find the slope of the line passing through the<br> points<br> (-9, 2) and (7, 2).

Alisiya [41]

Answer:

Step-by-step explanation:

-y₁ + y₂\-x₁ + x₂ = m

$\frac{ - 2 + 2}{9 + 7} = \frac{0}{16} = 0$

I am joyous to assist you anytime.

3 0

3 years ago

Please help me with this

Tcecarenko [31]

Answer:

808+808=1616 340+340=680 then 1616-680=976

Step-by-step explanation:

you need to add 808 plus 808 which is 1616 then add 340 plus 340 which is 680, then subtract 1616-680 which is 976.

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3 years ago

What is the smallest and largest natural number

Vladimir [108]

The smallest natural number is 1. The largest natural number does not exists because there will always be one even larger. But if you are asking the number of all natural numbers or the size of natural number set then $\aleph_0$ is your answer.

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3 years ago