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2 years ago

The period T of a pendulum in seconds depends on its length L in feet, and is given by the formula T=

Mathematics

1 answer:

Damm [24]2 years ago

4 0

This is a matter of plugging in. Specifically 7 for L.

T = 2πsqrt(7/32)
T = (6.28319...)(0.46771...)
T is about 2.93871 seconds

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Find the equation of a

Aliun [14]

Answer:

If your vertex is at the orgin you can't have a point on (6,0)

Step-by-step explanation:

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2 years ago

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1. Determine whether the lines given by the equations 2x + 3y = and y=3/2x+4

son4ous [18]

Answer:

1. Yes, the lines are perpendicular.

2. $y=\frac{5}{4}x+6$

Step-by-step explanation:

The first equation of Exercise 1 is incomplete. Let's assume that it is:

$2x + 3y =n$

Where "n" is a number.

First, it is important to remember that the equation of a line in Slope-Intercept form is:

$y=mx+b$

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

By definition, the slopes of perpendicular lines are negative reciprocals.

1 . If you solve for "y" from the first equation, you get:

$2x + 3y =n\\\\3y=-2x+n\\\\y=-\frac{2}{3}x+\frac{n}{3}$

You can identify that the slope is:

$m=-\frac{2}{3}$

The second equation of the line is:

$y=\frac{3}{2}x+4$

And its slope is:

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

Since the slopes are negative reciprocals, the lines are perpendicular.

2. Given the first equation of the line:

$y= -\frac{4}{5}x+6$

You can identify that:

$m=-\frac{4}{5}\\\\b=6$

Since the first line and the second one are perpendicular, you know that the slope of the other line is:

$m=\frac{5}{4}$

According to the information given in the exercise, both lines have the same y-intercept; therefore, the equation of the second line is:

$y=\frac{5}{4}x+6$

4 0

3 years ago

Triangle X Y Z is shown. Angle X Y Z is 51 degrees and angle Y Z X is 76 degrees. The length of X Z is 2.6, the length of X Y is

stepan [7]

Answer:

$z=3.2\ units$

Step-by-step explanation:

we know that

In the triangle XYZ

Applying the law of sines

$\frac{2.6}{sin(51^o)}=\frac{z}{sin(76^o)}$

solve for z

$z=\frac{2.6}{sin(51^o)}sin(76^o)$

$z=3.2\ units$

5 0

3 years ago

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denver, colorado is called "the mile high city" because its elevation is 5280 feet above sea level. someone tells you that the e

grandymaker [24]

A. Note that you are subtracting 5280 with -282

5280 - (-282) = 5280 + 282 = 5562

Denver is 5562 feet taller than death valley

B. your elevation should be ~ 0 feet if you are standing near the ocean, for ocean level is 0 feet.

hope this helps

5 0

3 years ago

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Given the functions k(x) = 2x2 − 8 and p(x) = x − 4, find (k ∘ p)(x).

sweet-ann [11.9K]

$(k_ {0} p) (x) = 2x^2 -16x + 24$

Solution:

Given functions are:

$k(x) = 2x^2 - 8\\\\p(x) = x-4$

To Find: $(k_ {0} p) (x)$

By definition of compound functions,

$(k_ {0} p) (x) = k (p (x))$

Substitute p(x) value in x place in k(x)

$(k_ {0} p) (x) = 2(x-4)^2-8\\\\Expand\\\\(k_ {0} p) (x) =2(x^2 -8x +16) - 8\\\\(k_ {0} p) (x) = 2x^2 -16x + 32-8\\\\Simplify\\\\(k_ {0} p) (x) = 2x^2 -16x + 24$

Thus the required is found

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3 years ago

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