For a standard position angle determined by the point (x,y) what are the values of the trigonometric functions?. For the point (16,12) find sin theta and cos theta

Answers

Answer 1

Answer: First we must find the hypotenuse:
c² = x² + y²
c² = 16² + 12²
c² = 256 + 144
c² = 400
c = √ 400
c = 20
sin t(theta) = y / c = 12/20 = 3 / 5
cos t(theta) = x / c = 16 / 20 = 4 / 5

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Brandon mixed 6.83 lb of cashews with 3.57 lb of pistachios. after filling 6 bags of same size and mixture, he had 0.35 lb left. what's the weight of each bag? use tape diagram

Answers

Not sure what a tape diagram is but i can solve and explain for you....
weight in total = 6.83 + 3.57 = 10.4 lb
x = weight for one bag
6x = weight for all 6 bags

Then form an equation that will allow you to work out x

6x + 0.35 = 10.4
subtract 0.35 from both sides
6x = 10.05
then divide both sides by 6 to get x on its own
x = 1.675
one bag weighs 1.675 lb

The weight of each bag filled by Brandon, is $\fbox{\bf1.675\,lb}$ .

Further explanation:

The amount of cashews and pistachios mixed are $6.83\,lb$ and $3.57\,lb$ respectively then the total weight of mixture is the sum of cashews and pistachios.

After the above nut mixture created by mixing cashews and pistachios is filled in six bags, the weight of remaining nuts is $0.35\,lb$ .

Therefore, the total mixture that is filled in 6 bags is obtained as the difference of total amount and the remaining mixture amount.

$\begin{aligned}{\text{Total mixture filled in six bags}}&=6.83+3.57-0.35\n&=10.4-0.35\n&=10.05\n\end{aligned}$

Now, this obtained amount of mixture weighing $10.05\,lb$ is filled equally in 6 bags as the size of bags is same then the amount of mixture in one bag or each bag is calculated as,

$\begin{aligned}{\text{Total mixture filled in each bags}}&=\frac{{10.05}}{6}\n&=1.675\n\end{aligned}$

Thus, the weight of each of the six bags that Brandon fills, is $\fbox{\bf1.675\,lb}$ .

Learn more:

1. Linear equation application brainly.com/question/2479097

2. Composite functions brainly.com/question/2142762

3. Linear equation application brainly.com/question/2479097

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Mixtures and ratios

Keywords: cashews, pistachios, one bag, six bag, each bag, weight, Brandon, same size, mixture, nuts, 6.83lb, 3.57lb, 0.35lb, total mixture, amount of mixture, remaining amount, remaining weight, total weight, nut mixture.

Kala purchased a prepaid phone card for S15. Long distance calls cost 24 cents a minute using this card. Kala used her card only once to make a longdistance call. If the remaining credit on her card is $5.64, how many minutes did her call last?

Answers

$15 - x = 5.64$

$15 - 5.64 = x$

$9.36 = x$

$9.36 / 0.24 = 39$

her call lasted 39minutes.

1.) The median weight of a checked bag is 27.5 pounds. How does the mean of the data most likely compare to the median? The mean is most likely less than 27 pounds.

The mean is most likely exactly 27.5 pounds.

The mean is most likely about 28 pounds.

The mean is most likely more than 28 pounds.

Answers

Solution :

Median weight of a checked bag is= 27.5 pounds

it means , if there are n bags , the middlemost bag has weight 27. 5 pounds.

For , a data set, if it is symmetrical on both sides that is if difference between two succeeding values are same,then

Median = Mean

Otherwise , in some cases

Either, Median > Mean or Mean > Median.

Supposing each bag to be Equivalent, that is if they have equal weight,

Mean can't exceed ≥ 27.5 Pounds

Option B : The mean is most likely exactly 27.5 pounds, is true about the given statement The median weight of a checked bag is 27.5 pounds.

To answer the problem above, we need first to know what median and mean means. In statistics median is the middle of the listed value data, while mean is the average of all the value of listed data. Both are kinds of averages so the mean is most like about 28 pounds.

The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?(−6, −5)

(−2, −5)

(2, −5)

(6, −5)

Answers

Hello,

Answer C (2,-5)

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16/6 to mixed fraction

Answers

16/6 as a mixed fraction is 2 2/3.
Hope this helps.

Let A={2,3} and B= {7,8}.write the power set of AxB.

Answers

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