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yawa3891 [41]
3 years ago
14

Solve for x. Round to the nearest tenth, if necessary.

Mathematics
2 answers:
Igoryamba3 years ago
6 0

Answer: 33.2

Step-by-step explanation:

Given

CE=85

\angle C=67^{\circ}

In \triangle CDE, using trigonometry

\Rightarrow \cos 67^{\circ}=\dfrac{CD}{CE}\\\\\Rightarrow CD=CE\cos 67^{\circ}\\\\\Rightarrow CD=85\times \cos 67^{\circ}\\\\\Rightarrow CD=33.2

inysia [295]3 years ago
3 0

Given:

A figure of a right angle triangle.

To find:

The value of x.

Solution:

In a right angle triangle,

\cos \theta =\dfrac{Base}{Hypotenuse}

In the given figure,

\cos C =\dfrac{CD}{CE}

\cos 67^\circ =\dfrac{x}{85}

0.39073\times 85=x

33.21205=x

Round to the nearest tenth.

x\approx 33.2

Therefore, the measure of x is 33.2 units.

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Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

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Weights of the vegetables in a field are normally distributed. From a sample Carl Cornfield determines the mean weight of a box
pantera1 [17]
To find the z-score for a weight of 196 oz., use

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(-5) ÷ (-7) = _____<br><br><br> - <br> 35<br> -35
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Answer:

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The answer is (-∞.∞).

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Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0

Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.

Note how the two graphs overlap to cover the entire real number line

So if we have x≤0  or  x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)

This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept

Side note: if you change the "or" to "and", then the solution to x≤0  and  x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.

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visit-:brainly.com/question/10712002

SPJ9

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