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hodyreva [135]
3 years ago
9

For the right triangle find the missing length. Round your answer to the nearest tenth.

Mathematics
2 answers:
butalik [34]3 years ago
7 0

9514 1404 393

Answer:

  w ≈ 5.8

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° "special" right triangle are ...

  1 : √3 : 2

That is, ...

  w/10 = 1/√3

  w = 10/√3 ≈ 5.8

Drupady [299]3 years ago
5 0

Answer:

5.8

Step-by-step explanation:

tangent = opposite over adjacent

10*tan(30) ≈ 5.774

round to the nearest 10th

5.8

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The expression isn’t there I can’t answer it.
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3. Line A is represented by the equation, y = + 5 (a) Write in slope-intercept form the equation of a line that is parallel to L
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Sorry, I wish I could help but I don’t understand this.
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In the figure below, Sin 62 degrees - 17/c. Based on the figure, which of the following equations is also true ?
JulijaS [17]

Answer:

Therefore Based on the Figure only the third option i.e C. ic True

\cos 28\° = \dfrac{17}{c}

Step-by-step explanation:

Given:

Let label the figure first such that

In Δ ABC , ∠C = 90° , ∠ B = 62°,

\sin 62\°=\dfrac{17}{c}

AB = Hypotenuse = c

AC = 17

To Find:

True Statements

Solution:

Triangle sum property:

In a Triangle sum of the measures of all the angles of a triangle is 180°.

\angle A+\angle B+\angle C=180

Substituting the values we get

\angle A +62+90=180\\\angle A=180-152=28\\\angle A=28\°

In Right Angle Triangle ABC , Cosine Identity we have

\cos A = \dfrac{\textrm{side adjacent to angle A}}{Hypotenuse}\\

Substituting the values we get

\cos 28\° = \dfrac{AC}{AB}=\dfrac{17}{c}\\\\\cos 28\°=\dfrac{17}{c}

Here in this figure

\tan B = \dfrac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}

\sin A = \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\

Substituting we get

\tan 62\° = \dfrac{17}{BC}

\cos 62\° = \dfrac{BC}{c}

\sin 28\° = \dfrac{BC}{c}

Therefore Based on the Figure only the third option i.e C. is True

\cos 28\° = \dfrac{17}{c}

7 0
3 years ago
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HELP WITH THIS QUESTION???
schepotkina [342]

❇Answer: y=-5x+5

❇Explanation:

First I'll write down the points given:

(-2,15)➡1st point=(x1,y1)

(2,-5)➡ 2nd point=(x2,y2)

(6,-25)➡ 3rd point=(x3,y3)

(10,-45)➡4th point=(x4,y4)

Calculating slope using 1st and 2nd points:

slope= (y2-y1)/(x2-x1)

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Calculating slope using 3rd and 4th points:

slope= (y4-y3)/(x4-x3)

=[-45-(-25)]/(10-6)

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Since slope of first two points and last two points are equal, all of these points lie on same line whose equation can be given in slope-intercept form as,

↪y=mx+c {m is slope}

↪y=-5x+c➡Eqn(1)

Let (0,c) be any point cutting y-axis making

y-intercept=c

Lets take 1st point and (0,c) and apply slope formula,

slope=(c-15)/[0-(-2)]

↪-5=(c-15)/2

↪c-15=-10

↪c=15-10

↪c=5

Put value of c in Eqn(1),

↪y=-5x+5

7 0
3 years ago
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