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4 years ago

Help me find the arc length of this. Thank you.

Mathematics

1 answer:

BabaBlast [244]4 years ago

4 0

The red chord is a diameter of the circle, so the length of the blue arc is half the circle's circumference.

The circumference of a circle with diameter $d$ is $\pi d$ , so the circle has circumference $8\pi$ , and so the arc has length $4\pi$ .

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In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x)

mamaluj [8]

Answer:

First option: $\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

Step-by-step explanation:

The missing graph is attached.

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

We can observe that:

1. Both lines have the same y-intercept:

$b=3$

2. The lines are solid, then the symbol of the inequality must be $\leq$ or $\geq$ .

3. Since both shaded regions are below the solid lines, the symbol is:

$\leq$

Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:

$\left \{ {{y\leq -2x + 3} \atop {y \leq x + 3}} \right.$

6 0

3 years ago

Read 2 more answers

If g(x)= x^2 -x, find g(-1)+4

NikAS [45]

Answer:

-g + 4

Step-by-step explanation:

6 0

3 years ago

If you break up the number under the radical in √36 into two factors that are perfect squares, what are the two factors?

Natasha2012 [34]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Write and simplify the integral that gives the arc length of the following curve on the given interval b. If necessary, use tech

LiRa [457]

Answer:

L = 4.103

Step-by-step explanation:

we have length of curve

$L = \int\limits^b_a {\sqrt{(f'(x))²+1} } \, dx$

where $f(x) = d/dx(3*in(x)) = 3/x$

substituting for f(x), we have $L = \int\limits^5_2 {\sqrt{(3/x)²+1} } \, dx$

(since the limit is 2≤ x ≤5)

solving, $L = \int\limits^5_2 {\sqrt{9/x²+1} } \, dx$

Simplifying this integral, we have

L = 4.10321

8 0

4 years ago

25.

bulgar [2K]

Using the slope concept, it is found that the angle between the ladder and the floor will be of 33.69º.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>, and it's also the tangent of the angle of depression.

In this problem, we have that:

The angle is of 45º.

The vertical distance is the height of h.

The horizontal distance is of 3m.

Hence:

tan(45º) = h/3.

1 = h/3.

h = 3 m.

If the ladder slides 1 m down, the height will be of 2m, hence the angle will be given as follows:

$\tan{\theta} = \frac{2}{3}$

$\theta = \arctan{\left(\frac{2}{3}\right)}$

$\theta = 33.69^\circ$

More can be learned about the slope concept at brainly.com/question/18090623

#SPJ1

8 0

2 years ago