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abruzzese [7]
3 years ago
15

Consider an n-sided regular polygon inscribed in a circle of radius r. Join the vertices of the polygon to the center of the cir

cle, forming n congruent triangles. Determine the central angle theta in terms of n. Show that the area of each triangle is (1/2)r^2sintheta. Find the limit of the area as n approaches infinity.
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:

a. Theta = 360/n ( angles around a point)

Step-by-step explanation:

n =Number of congruent triangles ( angles having the same angles and. Sides but not in the same direction).

This develops the assumption that each of the triangles created are equal and sides are equal.

Area of ∆ is given by 1/2 * b* h

Since all triangles are congruent b =h As they are all radius size

Area = 1/2 * (r *sin(theta)) * (r)

Area = 1/2*r^2sin(theta).

As n increases r *sin(theta) tends to 0

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Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Lei
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Answer:

$119.32

Step-by-step explanation:

Leiff decides to buy his video game, with a price tag of $128, at this site

he will get the 15% discount when he checks out.

100-15= 85%

Discounted price=85% of 128 is 0.85 \cdot 128=108.8

Leiff pays 5.3% sales tax on the discounted price

5.3% is 0.053

sales tax amount=0.053 times 108.8=5.7664

So we add the sales tax amount and shipping fee

108.8+5.7664+4.75=119.32

So $119.32 is the total amount

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3 years ago
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Write 0.088 as a fraction in simplest form.
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11/25

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Divide each by 8
11. Times 8
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50 laps in 10 day = how many laps in 1 day?
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5 laps in 1 day

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Which statement is true regarding the graphed functions?
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let's analyze each case to determine the solution

<u>case 1)</u> f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

<u>case 2)</u> f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

<u>case 3)</u> f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

<u>case 4)</u> f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true


6 0
3 years ago
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