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2 years ago

trigonometry and area.

Mathematics

1 answer:

soldier1979 [14.2K]2 years ago

6 0

Answer:

<u>The correct answer is that the area of the regular octagon is 309 cm²</u>

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

<u>Area = 309 cm² (Rounding to the nearest tenth)</u>

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In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If

Vesna [10]

Answer:

$Cranberry:Apple:Orange = 7:5:8$

Step-by-step explanation:

Given

$Apple = 1/4$

$Orange = 2/5$

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

$Cranberry + Apple + Orange = 1$

Substitute values for Apple and Orange

$Cranberry + 1/4+ 2/5= 1$

Collect Like Terms

$Cranberry = 1- 1/4- 2/5$

Take LCM

$Cranberry = \frac{20 - 5 - 8}{20}$

$Cranberry = \frac{7}{20}$

The ratio is then represented as:

$Cranberry:Apple:Orange = 7/20:1/4:2/5$

Multiply through by 20

$Cranberry:Apple:Orange = 20(7/20:1/4:2/5)$

$Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5$

$Cranberry:Apple:Orange = 7:5:8$

8 0

2 years ago

PLEASE HURRY!! <br> simplify completely<br> show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

<u>Given:</u>

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

<u>Apply exponent rule of distribution:</u>

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

<u>Simplify the numerator:</u>

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

<u>Simplify the denominator:</u>

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

<u>Simplify:</u>

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

3 0

2 years ago

What is the answer to this?

Dmitry [639]

Answer:

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

2x -6 -6x = 2 -4x . . . . eliminate parentheses

-4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

x +2 = 15x +10 +2x . . . . eliminate parentheses

x +2 = 17x +10 . . . . one solution (x=-1/2)

4 +6x = 6x +4 . . . . eliminate parentheses

6x +4 = 6x +4 . . . . infinite solutions

6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

8 0

1 year ago

Can someone help me please?

frutty [35]

The surface area of the cone is: A. 184π units².

<h3>What is the Surface Area of a Cone?</h3>

Surface area of a cone = πr(l + r), where r is the radius and l is the slant height.

Given the following:

Slant height (l) = 15 units
Radius = (r) = 8 units

Surface area of a cone = π8(15 + 8)

Surface area of a cone = 184π units²

Learn more about surface area of a cone on:

brainly.com/question/10506554

#SPJ1

3 0

1 year ago

How is dividing and multiplying with an area model similar and How is it different?

MrRissso [65]

Answer:

In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.

8 0

2 years ago

*trigonometry and area.*

trigonometry and area.