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2 years ago

3 2/3 + 2.3 (the three is repeating) and the answer choices are

Mathematics

2 answers:

Ne4ueva [31]2 years ago

7 0

Step-by-step explanation:

please check and rewrite ur question

Vitek1552 [10]2 years ago

4 0

Answer: C) 6

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Explanation:

2.33333... where the 3s go on forever is the same as 2 + 1/3 or 2 & 1/3

So we really have 3 & 2/3 added onto 2 & 1/3

The fractional portions add to 2/3 + 1/3 = 3/3 = 1, which will carry over.

The whole number portions add to 3+2 = 5, and we add on the carry of 1 to get 5+1 = 6

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Using your calculator

3 & 2/3 = 3 + 2/3 = 3 + 0.667 = 3.667 approximately

adding this onto 2.333 leads to

3.667 + 2.333 = 6

Technically the 6's go on forever in the decimal form of 3 & 2/3, but rounding wont have an effect on the answer when we add

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2 years ago

The exact value of tan5pi/12 is

Tanya [424]

Answer:

Step-by-step explanation:

This is the sum identity for tangent(x + y), where x and y are angles measured in radians. The formula for tan(x + y) is $\frac{tan(x)+tan(y)}{1-tan(x)tan(y)}$

The first order of business is to find which 2 angles, when expressed in terms of the denominator 12, add up to equal $\frac{5\pi}{12}$

We will use the first quadrant angles, and only the "important" ones:

$\frac{\pi}{4},\frac{\pi}{3},\frac{\pi}{6},\frac{\pi}{2},\pi$

When expressed in terms of the denominator of 12, these angles have the equivalent angles, in order from above:

$\frac{3\pi}{12},\frac{4\pi}{12},\frac{2\pi}{12},\frac{6\pi}{12},\frac{12\pi}{12}$

We need to find the 2 whose numerators add up to a 5. That would be:

$\frac{3\pi}{12} +\frac{2\pi}{12}=\frac{5\pi}{12}$

Remember that

$\frac{3\pi}{12}=\frac{\pi}{4}$ and $\frac{2\pi}{12}=\frac{\pi}{6}$ so

angle x is $\frac{\pi}{4}$ and angle y is $\frac{\pi}{6}$ , making our tangent sum:

$tan(\frac{\pi}{4}+\frac{\pi}{6})$

Filling that into our formula for the sum of tan(x + y):

$tan(\frac{\pi}{4}+\frac{\pi}{6})=\frac{tan(\frac{\pi}{4})+tan(\frac{\pi}{6}) }{1-tan(\frac{\pi}{4})tan(\frac{\pi}{6}) }$

It just so happens that

$tan(\frac{\pi}{4})=1$ and

$tan(\frac{\pi}{6})=\frac{\sqrt{3} }{3}$ so our formula then becomes

$tan(\frac{\pi}{4}+ \frac{\pi}{6})=\frac{1+\frac{\sqrt{3} }{3} }{1-(1)(\frac{\sqrt{3} }{3}) }$ which simplifies to

$\frac{\frac{3+\sqrt{3} }{3} }{\frac{3-\sqrt{3} }{3} }$ and then bring up the lower fraction and flip it to multiply giving you:

$tan(\frac{\pi}{4} +\frac{\pi}{6} )=\frac{3+\sqrt{3} }{3-\sqrt{3} }$

I have the feeling that you need to rationalize that denominator, and if you do that, the final answer will be:

$2+\sqrt{3}$

I know I kind of left you hanging at the very end with rationalizing, but there was so much already that went into this problem in such depth, that I didn't want to risk possibly confusing you even more than I may have already done so. Try and follow the best that you can.

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2 years ago

GIVING BRAINLY HELP find x AND SHOW YOUR WORK HELP ITS DUE AT 3pm

8_murik_8 [283]

Answer:

I am not sure what are you trying to find.

If you are trying to find the third interior angle, it is 53.

If you are trying to find x, it is 34

Step-by-step explanation:

To Find X:

Using the Exterior Angle Theorem we know that

2x+59=127, minus 59 from both side

2x=68

x=34

To Find the third angle

Mark the third angle as G

Supplementary Angle tell us that A+B=180

G and the exterior angle is supplementary,

G+127=180 minus 127 from both side

G=53

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2 years ago

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Olegator [25]

Answer: C. Ben and Cathy

Step-by-step explanation:

The diagram showing the triangle ABC is shown in the attached photo.

a represents the distance between Ben and Cathy.

b represents the distance between Andy and Cathy

c represents the distance between Andy and Ben,

The unknown angle A is determined by subtracting the sum of angle B and angle C from 180 degrees. This is because the sum of angles in a triangle is 180 degrees.

Angle A = 180 - (55 + 50)

= 180 - 105 = 75 degrees.

75 degrees is the biggest angle and thus, the farthest distance. It corresponds to a, the distance between Ben and Cathy.

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3 years ago