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3 years ago

CONVERT TO RADIANS TO DEGREES

Mathematics

1 answer:

gogolik [260]3 years ago

5 0

Answer:

30 degrees

Step-by-step explanation:

To convert radians to degrees, we multiply by 180 degrees/ pi

pi/6 * 180/pi

The pi's cancel

180/6 = 30

We are left with 30 degrees

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A total of tickets were sold for the school play. They were either adult tickets or student tickets. The number of student ticke

PSYCHO15rus [73]

Answer:

the number of adult ticket sold is 107 tickets

Step-by-step explanation:

The computation of the number of adult ticket sold is shown below:

Let us assume the number of tickets be x,

So, the adult be x

And for student it would be 3x

Students= 2x

Adults= x

Total = 4x

Now the equation could be

4x = 428

x = 107

This x signifies the adult tickets sold i.e 107

Hence, the number of adult ticket sold is 107 tickets

4 0

2 years ago

On Halloween, a man presents a child with a bowl containing eight different pieces of candy. He tells her that she may have thre

likoan [24]

Answer:

$56$ choices

Step-by-step explanation:

We know that we'll have to solve this problem with a permutation or a combination, but which one do we use? The answer is a combination because the order in which the child picks the candy <u><em>does not</em></u> matter.

To further demonstrate this, imagine I have 4 pieces of candy labeled A, B, C, and D. I could choose A, then C, then B or I could choose C, then B, then A, but in the end, I still have the same pieces, regardless of what order I pick them in. I hope that helps to understand why this problem will be solved with a combination.

Anyways, back to the solving! Remember that the combination formula is

$_nC_r=\frac{n!}{r!(n-r)!}$ , where n is the number of objects in the sample (the number of objects you choose from) and r is the number of objects that are to be chosen.

In this case, $n=8$ and $r=3$ . Substituting these values into the formula gives us:

$_8C_3=\frac{8!}{3!5!}$

$= \frac{8*7*6*5*4*3*2*1}{3*2*1*5*4*3*2*1}$ (Expand the factorials)

$=\frac{8*7*6}{3*2*1}$ (Cancel out $5*4*3*2*1$ )

$=\frac{8*7*6}{6}$ (Evaluate denominator)

$=8*7$ (Cancel out $6$ )

$=56$

Therefore, the child has $\bf56$ different ways to pick the candies. Hope this helps!

3 0

2 years ago

$34,300 loan at 3.5% for 4 months.

cestrela7 [59]

keeping in mind that 4 months is not even a year, since there are 12 months in a year, 4 months is then 4/12 years.

let's assume is simple interest.

$\bf ~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$34300\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ t=years\to \frac{4}{12}\dotfill &\frac{1}{3} \end{cases} \\\\\\ A=34300\left[ 1+(0.035)\left( \frac{1}{3} \right) \right]\implies A= 34300(1.011\overline{6})\implies A=34700.1\overline{6}$

5 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B3%7D%20%20%2B%20%20%5Cfrac%7B7%7D%7B15%7D%20" id="TexFormula1" title=" \fr

luda_lava [24]

Answer:

Step-by-step explanation:

$\frac{5}{15} + \frac{7}{15y} = \frac{12}{15} = \frac{4}{5}$

6 0

2 years ago

Read 2 more answers

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks: We ar

vladimir2022 [97]

Answer:

The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:

We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.

c) 99%, 0.385631, 0.780609

Step-by-step explanation:

This is the only correct option, given the relevant population mean range. Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option. Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.

7 0

2 years ago