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Molodets [167]
3 years ago
6

Which of the following trigonometric expressions represents an inverse function?

Mathematics
2 answers:
Makovka662 [10]3 years ago
4 0

tan^{-2}(x°)

11111nata11111 [884]3 years ago
3 0

Answer:

Step-by-step explanation:

Actually, it's none of these.  The inverse function must be written as follows:

     -1

tan     x

In other words, the "-1" that represents "inverse function" must be written as a superscript.

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Tasya [4]
All Triangles are equilateral ( each side = 4)


Area of a Triangle is (B x H)/2. B being the base ( 4) & H the altitude.

WE know that altitude in an equilateral triangle, H = ( side x√3)/2

So H= (4√3)/2 = 2√3

The area of one triangle = (4 x 2√3)/2 = 4√3

And for the 3 triangles the lateral area = (4√3) x 3 = 12√3
6 0
3 years ago
Find an equation of a plane containing the line r = ⟨−5, 1, 0⟩ + t ⟨7, −8, 4⟩ which is parallel to the plane 4x + 1y −5z = −24.
Ipatiy [6.2K]

1-Find an equation of the plane.

The plane that passes through (8,0,-1)

and contains the line x=4-4t , y=1+5t , z=4+2t

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2-Find an equation of the plane.

The plane that passes through the point (-2,2,2)

and contains the line of intersection of the planes

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3-Find an equation of the plane.

The plane that passes through the line of intersection of the planes x-z=1 and y+2z=2

and is perpendicular to the plane x+y-4z=3

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4-Where does the line through

<span>(1, 0, 1) and (4,-2,3)intersect the plane</span><span>x + y + z = 8 ?</span>
8 0
3 years ago
Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen
n200080 [17]

A linear relation is a relationship between two variables that when the corresponding pair of values of the variables are plotted, a straight line is obtained

The equation for the relationship between hours Gwen worked and number of tickets is <u> t = </u><u>15·h</u>

<u />

The reason the above equation is correct is as follows:

The given parameters are;

The table of values;

Hours(h): 1, 2, 3, 4

Tickets (t): 15, 30, 45, 60

Required: To write an equation that gives the relation between the number of hours Gwen worked and the number of tickets sold

Solution:

From the given table, we have;

The common difference between successive <em>h-values </em>is 1

The <em>common difference</em> between successive t<em>-values </em>is 30 - 15 = 45 - 30 = 60 - 45 = 15 = Constant

Given that the common difference of the <em>h</em>, and <em>t-values</em> are constant, the relationship is a linear relationship of the form, t = m·h + c

Where;

m = The rate of change of <em>t</em> with <em>h</em>, as follows;

m = (30 - 15)/(2 - 1) = 15

∴ t - 15 = 15 × (h - 1)

t - 15 = 15·h - 15

t = 15·h - 15 + 15 = 15·h

t = 15·h

The equation for the relation between the number of hours Gwen worked and the number of tickets she sold is<u> t = </u><u>15·h</u>

<u />

Learn more about mathematical relationships here:

brainly.com/question/10185505

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7 0
2 years ago
Present the inequality x &gt; 23 ?​
Tanzania [10]

Answer:

x > 23 I think

Step-by-step explanation:

8 0
3 years ago
It takes a guard 3 hours to walk 12 miles on foot. Another guard travels by horse at a rate of 14 miles per hour. How long will
kotegsom [21]

Answer:

around 50 minutes

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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