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2 years ago

A circle with circumference 130 has an arc with a 72° angle. What is the length of the arc?

Mathematics

1 answer:

deff fn [24]2 years ago

4 0

Answer:

arc = 26 units

Step-by-step explanation:

130 = 360°

(72° arc/360°)(72) = 26

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Which statement describes the sequence defined by a Subscript n Baseline = StartFraction n cubed minus n Over n squared + 5 n En

Dominik [7]

Answer:

The answer is " The sequence converges to infinity. "

Step-by-step explanation:

Given:

$\to a_n=\frac{n^3-n}{n^2+5n}$

$\lim_{n \to \infty} a_n= \lim_{n \to \infty} \frac{n^3-n}{n^2+5n}$

$= \lim_{n \to \infty} \frac{n(n^2-1)}{n(n+5)}\\\\= \lim_{n \to \infty} \frac{(n^2-1)}{(n+5)}\\\\= \lim_{n \to \infty} \frac{n(n-\frac{1}{n})}{n(1+\frac{5}{n})}\\\\= \lim_{n \to \infty} \frac{(n-\frac{1}{n})}{(1+\frac{5}{n})}\\\\$

Denominator $= \lim_{n \to \infty} 1+\frac{5}{n}=1+\lim_{n\to \infty} \frac{5}{n}=1+0=1$

Numerator $=\lim_{n\to \infty}n-\frac{1}{n}=\infty$

$\therefore\\\\\lim_{n\to \infty}a_n=\frac{\infty}{1} =\infty$

7 0

2 years ago

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The equation y=2/3x is a proportional relationship. Which value represents the constant of proportionality?

stepan [7]

Answer:

k = $\frac{2}{3}$

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportion

y = $\frac{2}{3}$ x ← is in this form

with k = $\frac{2}{3}$

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2 years ago

What is the value of the 3rd iterate if x0 = 2.4 Carry out your answers to the 5th decimal place

MrRissso [65]

Answer:

I think it's 2.45111

Step-by-step explanation:

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the entry fee to the fair is 4.00 . each rides requires a ticket that cost 0.50 heidi spent a total 12.00 how many ticket did he

Fofino [41]

She bought 16 tickets

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3 years ago

Question:

Marina CMI [18]

Since 2x+y>4 you get y>4-2x. Then you draw the line y=4-2x then you are interested in everything above the line not including it since it is y>4-2x so it is a dashed line. You need to shade the side that satifies the inequality and since it is every pair (x,y) where y>4-2x, you need to shade everything above the line which is the side that does not include the origin. So the answer is C.

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3 years ago