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3 years ago

The table shows a direct variation.

1 answer:

6 0

For any direct variation: x=ky so k=x/y
k=4.8/2=2.4
k=10.8/4.5=2.4
k=14.4/6=2.4
Since k is a constant, you get the same value when you use any set of x and y values from the table. I just wanted to show you that.
The constant of variation(k)=2.4

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The table shows the number of tropical cyclones that formed during the hurricane

kifflom [539]

a = 46.2 b = 46.9

It says B is wrong but I don't know.

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3 years ago

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The sales tax is 5 percent what is the tax on an item that cost $24

iris [78.8K]

Answer:

$25.20

Step-by-step explanation:

5% of 24 = 1.20

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3 years ago

A surveying team set up some equipment 104104 ft from the base of a tree in order to sight the top of the tree. From ground leve

jarptica [38.1K]

Answer:

Relative error = 0.0254 %

Step-by-step explanation:

Given details

Height of equipment from base is 104 ft

Elevation angle is 27.5 degree

From figure we have

$tan\theta = \frac{x}{104}$ .........1

$tan(27.5) = \frac{x}{104}$

x = 54.13 ft

differentiating 1st eq wrt x

$\frac{d}{dx} tan\theta = \frac{d}{dx} [\frac{x}{104}]$

$sec^2\theta \frac{d\theta}{dx} = \frac{1}{104}$

Taken $d\theta \ as \Delta x \ and\ dx = \Delta x$ for minute change

$\Delta x = 1.5% x$

$= 0.015 \times 54.13 = 0.8119 ft$

from $sec^2 \theta \frac{d\theta}{dx} = \frac{1}{104}$

$\Delta \theta = \frac{1}{104 sec^2 \theta} \Delta x$

$\Delta \theta = \frac{1}{104 \times 1.115} 0.8119$

$\Delta \theta = 0.007$

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$= \frac{0.007}{27.5}\times 100$

Relative error = 0.0254 %

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4 years ago

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Step-by-step explanation:

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3 0

3 years ago

Solve each equation by completing the square. n^2 - 6n + 6 = -2

Law Incorporation [45]

<h3><u>Explanation</u></h3>

Separate the constant out of expression.

$( {n}^{2} - 6n) + 6 = - 2$

Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.

$( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1$

Square Root both sides to get rid the squared expression. Make sure to write plus or minus.

$\sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1$

$n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2$

<h3><u>Answer</u></h3>

$\large \boxed {n = 4,2}$

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3 years ago