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julia-pushkina [17]
3 years ago
14

“Choosing is Refusing” means individuals face an opportunity cost with each decision they make.

Mathematics
1 answer:
Kipish [7]3 years ago
7 0
This statement is true
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What is the arc length of a circle that has a 6-inch radius and a central angle that is 65 degrees? Use 3. 14 for pi and round y
noname [10]
C=2πr

C=2π6

C=<span>37.6991118431
</span>
That's the arc length of the whole circle, i.e. the arc length of 360°.

65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.6991118431 is 
6.8067840827819444444444444444444.  Rounded to the nearest hundredth, the answer is 6.81 inches.

That's real pi, lets see if it makes a difference to use "stupid pi".

C=2πr

C=2π6

C=37.68

That's the arc length of the whole circle, i.e. the arc length of 360°.

65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.68 is 
6.803333333333333333333333.  Rounded to the nearest hundredth, the answer is 6.80 inches.
Yep makes a difference.  That's why you don't use stupid pi.  3.14159 is what we always used in engineering, or just the pi button and using a ton of digits.

Answer: 6.80 inches.
3 0
3 years ago
2<br><img src="https://tex.z-dn.net/?f=%202%20%5Ctimes%202" id="TexFormula1" title=" 2 \times 2" alt=" 2 \times 2" align="absmid
NISA [10]
FOUR FOUR FOUR FOUR FOUR FOUR FOUR 2*2=FOUR
3 0
4 years ago
Read 2 more answers
Jen has 2 meters of taffy. She wants to give each of her 3 best friends an equal amount of taffy. How many centimeters of taffy
sammy [17]
Each friend including her will get the grand total of 1/4 of taffy.
or if its just her fiends that get the taffy they will each get 1/3 of the taffy.
4 0
3 years ago
What is the slope of the line shown below?
leonid [27]
The answer is A. -2/3
5 0
3 years ago
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
lisov135 [29]

Hi there!

<u>What we need to know:</u>

The three main trigonometric ratios are sine, cosine and tangent:

\displaystyle sin\theta=\frac{opposite}{hypotenuse}     \displaystyle cos\theta=\frac{adjacent}{hypotenuse}    \displaystyle tan\theta=\frac{opposite}{adjacent}

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

<u>First question</u>

For the first question, we're given the angle with a measure of 56 degrees and the length of the <em>hypotenuse</em>. We must calculate <em>a</em>, which represents the side <em>adjacent </em>to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

\displaystyle cos\theta=\frac{adjacent}{hypotenuse}

Plug in the given information:

\displaystyle cos56=\frac{a}{13}

Isolate <em>a</em> by multiplying both sides by 13:

13\displaystyle cos56=a

Solve using a calculator:

a=7.3

Therefore, <em>a</em> is equal to 7.3 when rounded to 1 decimal place.

<u>Other information you will need to know:</u>

In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:

\displaystyle sin\theta=\frac{5}{8}

In this case, we will use the inverse sine ratio:

\displaystyle \theta=sin^-^1(\frac{5}{8})

Solve using a calculator:

\displaystyle \theta=39

Therefore, the angle would equal approximately 39 degrees.

I hope this helps!

3 0
3 years ago
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