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makvit [3.9K]
3 years ago
9

Find x. Round your answer to the nearest tenth of a degree. (marking BRAINLEST)​

Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

x = 47.2

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

cos theta = opp / hyp

cos x = 17/23

Taking the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1 ( 17/25)

x =47.15635696

To the nearest tenth

x = 47.2

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The equation of a line is given by, 13x – y + 12 = 0. Find the slope and both the intercepts.​
MArishka [77]

Answer:

The slope is 13.

The x intercept is x=\frac{-12}{13}.

The y intercept is y=12.

Step-by-step explanation:

1. Finding the slope.

This is a linear equation, because <u>it's graph forms a line</u>. In a linear equation, the slope is always the value that multiplies x. In this case, x is being multiplied by 13, therefore, <u>the slope is 13</u>.

2. Finding the x intercept.

The x intercept is found when the value of y is 0. Let's replace the value of y for 0 in the equation and solve the x:

13x-y + 12 = 0\\\\13x-(0) + 12 = 0\\\\13x+12 = 0\\\\13x= -12\\\\x=\frac{-12}{13}

<u>The x intercept is </u>x=\frac{-12}{13}<u>.</u>

3. Finding the y intercept.

The y intercept is found when the value of x is 0. Let's replace the value of x for 0 in the equation and solve the y:

13x-y + 12 = 0\\\\13(0)-y + 12 = 0\\\\-y + 12 = 0\\\\-y=-12\\\\y=12

<u>The y intercept is </u>y=12<u>.</u>

3 0
2 years ago
How do you write a polynomial function for this graph?
expeople1 [14]

first off, let's notice the graph touches the x-axis at -1 and 3, namely, those are the zeros/solutions/roots of the polynomial and therefore, the factors come from those points.

now, at -1, the graph doesn't cross the x-axis, instead it <u>simply bounces off</u> of it, that means the zero of x = -1, has an even multiplicity, could be 4 or 2 or 6, but let's go with 2.

at x = 3, the graph does cross the x-axis, meaning it has an odd multiplicity, could be 3 or 1, or 7 or 9, but let's use 1.


\bf \begin{cases} x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}~\hspace{5em}\stackrel{\textit{even multiplicity}}{(x+1)^2}\qquad \stackrel{\textit{odd multiplicity}}{(x-3)^1}=\stackrel{y}{0} \\\\\\ (x^2+2x+1)(x-3)=y\implies x^3+2x^2+x-3x^2-6x-3=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-5x-3=y~\hfill

5 0
3 years ago
Read 2 more answers
F(x)=3x graphed give answer
BaLLatris [955]

Answer:

Step-by-step explanation:

7 0
3 years ago
The picture shows the Alamillo bridge in Seville, Spain. In the picture m&lt;1=58 and m&lt;2=24. Find the measure of the supplem
Anna11 [10]

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

6 0
3 years ago
In Ellen's math class, there are 2 boys for every 3 girls . What is the the following ratio of boys to girls in the class ?
IrinaK [193]
Based on the ratio of boys/girls We can infer that the only possibility for Ellen's math class would be answer B. 14/21
4 0
3 years ago
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