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Julli [10]
3 years ago
10

How do you solve equations like this: 7 5/6? can someone explain it? (7 5/6 is just an example)

Mathematics
2 answers:
Wittaler [7]3 years ago
7 0
A  b/c is a mixed number, we can turn a mixed number into  its simplest form in this way:
a  b/c= a +  b/c=(a*c+b)/c

In this case:
7  5/6=7+  5/6=(7*6+5)/6=(42+5)/6=47/6

Therefore:  7  5/6  =47/6
BaLLatris [955]3 years ago
5 0
Convert 7 5/6 to decimal form...

The fractional part of this number is what needs the focus. The whole number is 7, so we know that the decimal will lie somewhere between 7 and 8 (it will be 7 point something). All we have to do is convert 5/6 To decimal and attach it to the 7...

To find the decimal just do the math described by the fraction. 5/6 literally reads 5 ÷ 6. Set up the division and the result is .8333

So the decimal form of
7 5/6 is 7.8333

Alternatively you can set it up as a ratio then solve for x.

5/6 = x/100

Cross multiply

6x = 500

divide each side by 6

x = 83

83/100 = .83

7 5/6 = 7.83



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If the surface area of a sphere is represented by 144 pi, what is the volume in terms of pi?
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288 pi

Step-by-step explanation:

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All points on a given line have their y-coordinate as 9. What is the equation of this line? A. x + y = 9 B. x – y = 9 C. x = 9 D
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D. y = 9 because it has a complete zero slope while the y-intercept of the equation is 9, so the equation is y = 9.

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For the problem below, θ is a central angle in a circle of a radius r. Find the length of arc s cut off by θ.
mixas84 [53]

Answer:

Here, we will use the formula from trigonometry which defines a radian

we know that an angle is a radian when the length of the radius of the circle is equal to the length of the arc formed

hence, if the radius is r and the arc is r, the angle (in radians) will be 1

if the radius is r and the arc is 2r, the angle in radians will be equal to:

length of arc / radius = 2r/r = 2 radians

I believe this will explain what is actually happening in these type of questions

So, the equation:

Θ(in radians) = s / r (where the length of arc is s and the radius is r)

π/4 = s / 12

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4 0
3 years ago
10 points, doing this one again because I got a wrong answer last time but regardless thank you for trying to help​
Alik [6]

Hey ! there

Answer:

  • Value of missing side i.e. TE is <u>1</u><u>2</u><u> </u><u>feet</u>

Step-by-step explanation:

In this question we are provided with a <u>right</u><u> </u><u>angle </u><u>triangle</u> having <u>TS </u><u>-</u><u> </u><u>35</u><u> </u><u>ft </u><u>and</u><u> </u><u>SE </u><u>-</u><u> </u><u>37</u><u> </u><u>ft </u>. And we are asked to find the missing side that is <u>TE </u>using Pythagorean Theorem .

<u>Pythagorean Theorem :</u> -

According to Pythagorean Theorem sum of squares of perpendicular and base is equal to square of hypotenuse in a right angle triangle i.e.

  • H² = P² + B²

<u>Where </u><u>,</u>

  • H refers to <u>Hypotenuse</u>

  • P refers to <u>Perpendicular</u>

  • B refers to <u>Base</u>

<u>Solution</u><u> </u><u>:</u><u> </u><u>-</u>

In the given triangle ,

  • Base = <u>TE </u>

  • Perpendicular = <u>TS </u><u>(</u><u> </u><u>35</u><u> </u><u>feet </u><u>)</u>

  • Hypotenuse = <u>SE </u><u>(</u><u> </u><u>37</u><u> </u><u>feet </u><u>)</u>

Now applying Pythagorean Theorem :

\quad \longmapsto \qquad \:SE {}^{2}  = TS {}^{2}  + TE {}^{2}

Substituting values :

\quad \longmapsto \qquad \:37 {}^{2}  = 35 {}^{2}  + TE {}^{2}

Simplifying it ,

\quad \longmapsto \qquad \:1369 = 1225  + TE {}^{2}

Subtracting 1225 on both sides :

\quad \longmapsto \qquad \:1369 - 1225  = \cancel{1225}  + TE {}^{2}  -  \cancel{1225}

We get ,

\quad \longmapsto \qquad \:144 = TE {}^{2}

Applying square root to both sides :

\quad \longmapsto \qquad \ \sqrt{ 144} =  \sqrt{TE {}^{2}}

We get ,

\quad \longmapsto \qquad \:     \red{\underline{\boxed{\frak{TE  = 12 \: feet}}}} \quad \bigstar

  • <u>Henceforth</u><u> </u><u>,</u><u> </u><u>value </u><u>of </u><u>missing </u><u>side </u><u>is </u><em><u>1</u></em><em><u>2</u></em><em><u> </u></em><em><u>feet </u></em><em><u>.</u></em>

<u>Verifying</u><u> </u><u>:</u><u> </u><u>-</u>

Now we are verifying our answer using Pythagorean Theorem . We know that according to Pythagorean Theorem ,

  • SE² = TS² + TE²

Substituting value of SE , TS and TE :

  • 37² = 35² + <u>1</u><u>2</u><u>²</u>

  • 1369 = 1225 + 144

  • 1369 = 1369

  • L.H.S = R.H.S

  • Hence , Verified .

<u>Therefore</u><u> </u><u>,</u><u> </u><u>our</u><u> answer</u><u> is</u><u> correct</u><u> </u><u>.</u>

<h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>
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Answer:

sorry this question is tough

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