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3 years ago

Simplify your answer completely. -2 4/6 / -2/3

Mathematics

2 answers:

skad [1K]3 years ago

4 0

Your answer is 2. Hope this helps!

Ira Lisetskai [31]3 years ago

4 0

-2 4/6 / -2/3

-16/6 / -2/3 change the first fraction to improper fraction

-16/6 x -3/2 simplify by canceling out where possible
-8/2 x -1/1 now multiply across
8/2=4 should be the answer I believe.

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Look at the figure shown below:

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These are the steps, with their explanations and conclusions:

1) Draw two triangles: ΔRSP and ΔQSP.

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5) You have shown that the two triangles have two pair of equal sides and their angles included also equal, which is the postulate SAS: triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles.

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The answer to question 24 please!

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3 years ago

I need to find the perimeter and area of the regular polygon.

mezya [45]

The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways.

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72

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3 years ago

What is 11 1/2 + 10 11/16=

ahrayia [7]

Hey!

To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.

Original Equation :

$11\frac{1}{2} + 10\frac{11}{16} = ?$

New Equation {Converted Mixed Numbers Into Improper Fractions} :

$\frac{23}{2} + \frac{171}{16} = ?$

Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.

Fraction Conversion :

$\frac{23*8}{2*8} = \frac{184}{16}$

So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.

Old Equation :

$\frac{23}{2} + \frac{171}{16} = ?$

New Equation {Input New Fraction With Common Denominator} :

$\frac{184}{16} +\frac{171}{16} = ?$

Solution {New Equation Solved} :

$\frac{355}{16}$

Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.

New Solution {Converted to a Mixed Number} :

$22\frac{3}{16}$

Since the fraction cannot be simplified anymore, this should be our final answer.

So, this means that the answer to the equation is $22\frac{3}{16}$ .

Hope this helps!

- Lindsey Frazier ♥

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