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aleksley [76]
3 years ago
12

Perform the following division:

Mathematics
1 answer:
Radda [10]3 years ago
7 0
Hey!


Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction.  To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

<em>Original Fraction :</em>
3 \frac{3}{4}

<em>New Fraction {Changed by Conversion} :</em>
\frac{15}{4}

Now that we've successfully done that we'll have to change the equation.

<em>Old Equation :</em>
\frac{15}{4} ÷ \frac{2}{8} = ?

<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
\frac{15}{4} · \frac{8}{2} = ?

Now we multiply straight across.

<em>Old Equation :</em>
\frac{15}{4} · \frac{8}{2} = ?

<em>Solved :</em>
\frac{120}{8}

Almost done!
Now we have to simplify the fraction.

<em>Old Fraction :</em>
\frac{120}{8}

<em>New Fraction {Changed by Simplification} :</em>
\frac{15}{1}

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

<span><em>So, 3  \frac{3}{4} ÷ \frac{2}{8} equals</em></span>  15.

Hope this helps!


- Lindsey Frazier ♥
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irina1246 [14]

Answer:

V≈146.57ft^3

Step-by-step explanation:

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In the △ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC. Consider all possible cases. Case 1 : N∈BC, AB = __,
aivan3 [116]

Answer:

Case 1:

AB = 30

BC = 50

Case 2:

AB = 15.9

BC = 36.7

Case 3: Not possible

Step-by-step explanation:

Given

See attachment for illustration of each case

Required

Find AB and BC

Case 1:

Using Pythagoras theorem in ANB, we have:

AB^2 = AN^2 + BN^2

This gives:

AB^2 = 24^2 + 18^2

AB^2 = 576 + 324

AB^2 = 900

Take square roots of both sides

AB = \sqrt{900

AB = 30

To calculate BC, we consider ANC, where:

AC^2 = AN^2 + NC^2

40^2 = 24^2 + NC^2

1600 = 576 + NC^2

Collect like terms

NC^2 = 1600 - 576

NC^2 = 1024

Take square roots

NC = \sqrt{1024

NC = 32

So:

BC = NC + BN

BC = 32 + 18

BC = 50

Case 2:

Using Pythagoras theorem in ANB, we have:

AN^2 = AB^2 + BN^2

This gives:

24^2 = AB^2 + 18^2

576 = AB^2 + 324

Collect like terms

AB^2 = 576 - 324

AB^2 = 252

Take square roots of both sides

AB = \sqrt{252

AB = 15.9

To calculate BC, we consider ABC, where:

AC^2 = AB^2 + BC^2

40^2 = 252 + BC^2

1600 = 252 + BC^2

Collect like terms

BC^2 = 1600 - 252

BC^2 = 1348

Take square roots

BC = \sqrt{1348

BC = 36.7

Case 3:

This is not possible because in ANC

The hypotenuse AN (24) is less than AC (40)

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3 years ago
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Answer:

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Delvig [45]

Answer:

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Step-by-step explanation:

Data

Point = (2, 3)

slope = m = 3

Process

To solve this problem just substitute the values given in the slope-point equation.

Formula

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