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3 years ago

If an exterior angle of a regular polygon is 21.2° how many sides does the polygon have?

1 answer:

4 0

Formula for number of sides, n = 360 / e

Where e is the exterior angle for the number of sides.

e = 21.2°

Number of sides for the regular polygon, n = 360° / 21.2°

n ≈ 16.98

The number of sides is approximately 16.98 sides..Does that make sense?

It does not. In fact, the exterior angle of a regular polygon has to be wholly divisible into 360°.

In the case 21.2° can't clearly be the exterior angle, the question is wrongly set.

The exterior can be say 20°.

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Determine the area enclosed by y=2x+3, the x-axis and the ordinates x=3 and x=4

jok3333 [9.3K]

Answer:

$\displaystyle \int\limits^4_3 {2x + 3} \, dx = 10$

General Formulas and Concepts:
<u>Calculus</u>

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

y = 2x + 3

<em>x</em>-interval [3, 4]

<em>x</em>-axis

<em>See attachment for graph.</em>

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^4_3 {2x + 3} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle A = \int\limits^4_3 {2x} \, dx + \int\limits^4_3 {3} \, dx$
[Integrals] Rewrite [Integration Property - Multiplied Constant]: $\displaystyle A = 2 \int\limits^4_3 {x} \, dx + 3 \int\limits^4_3 {} \, dx$
[Integrals] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = 2 \bigg( \frac{x^2}{2} \bigg) \bigg| \limits^4_3 + 3(x) \bigg| \limits^4_3$
[Integrals] Integrate [Integration Rule - FTC 1]: $\displaystyle A = 2 \bigg( \frac{7}{2} \bigg) + 3(1)$
Simplify: $\displaystyle A = 10$

∴ the area bounded by the region y = 2x + 3, x-axis, and the coordinates x = 3 and x = 4 is equal to 10.

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Learn more about integration: brainly.com/question/26401241

Learn more about calculus: brainly.com/question/20197752

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

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2 years ago

What is the equation of a line that has a slope of 3 and a y-intercept of -3

LUCKY_DIMON [66]

The slope-intercept form:

y = mx + b

m - slope

b - y-intercept

We have m = 3 and b = -3. Substitute:

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3 years ago

Read 2 more answers

What is the solution set of the equation x ^ 2 - 3x - 10 = 0 ? pls show work

Yanka [14]

Answer:

Factors :- (x - 5) (x + 2)

Values :- x = 5, x = -2

Step-by-step explanation:

= > x^2 - 3x - 10 = 0

= > x^2 - (5 - 2)x - 10 = 0

= > x^2 - 5x + 2x - 10 = 0

= > x (x - 5) + 2 (x - 5) = 0

= > (x + 2) ( x - 5) = 0...factors

= > x = 5, - 2...values

<h2>Hope it helps you!! </h2>

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3 years ago

20 POINTS! Please help, best answer will recessive brainliest answer points as well as 5 stars and a thank you. :)

Kaylis [27]

Answer:

Step-by-step explanation:

Diagonals of a rhombus are perpendicular bisector.

Hence, triangle ABE so formed would be a right triangle right angled at E.

Therefore, by Pythagoras theorem:

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3 years ago

Which statement best explains the relationship between numbers divisible by 9

AVprozaik [17]

Answer:

Step-by-step explanation:

A number divisible by 9 is also divisible by 3 because 3 is a factor of 9.

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