Use trig to solve for x show work

Answers

Answer 1

Answer: For example: 12. cos(20 degrees) = x/25 => x = 25*cos(20degrees).

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It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)t

Answers

The answer to the question above is calculated by substituting 4 to variable t of the given function.
Nt = 350,000(0.52)(4)

The substituted function gives an answer of 728,000. Therefore, with the given condition of recycling, about 728, 000 cans can still be used.

Answer

Step-by-step explanation:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

Answers

Answer:

The best measure of center is median = 37.50.

Step-by-step explanation:

The complete question is:

The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.

{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}

The best measure of center for this data set is the , and its value expressed up to one decimal place is?

Solution:

The three measures of center are:

Mean
Median
Mode

The mean is the average value of the data set and uses all the values of the data set.

The median is the middle value of the data set.

Mode is the value of the data st with the highest frequency or number of occurrence.

Compute the mean, median and mode of the data set provided as follows:

$\text{Mean}=(1)/(n)\sum X=(1)/(14)* [36+18+....+72+29]=40.57$

So, the mean is 40.57.

The data set in ascending order is:

{16, 18, 28, 29, 35, 36, 37, 38, 40, 41, 44, 66, 68, 72}

There are 14 values in the data set. That is an even data set.

The median for an even data set is the average of the middle two values.

The middle two values are: 37, 38

Average of {37, 38} = $(37+38)/(2)=37.50$

So, the median is 37.50.

None of the values are repeating itself. Thus, the data does not have a mode.

For the provided data:

Mean > Median

Implying that the data set is right-skewed.

For a skewed distribution or data set the median is the measure of center.

Thus, the best measure of center is median = 37.50.

Which is the smallest decimal?
A. 0.04
B. 0.4
C. 0.39
D. 0.049

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

b has the least zeros so that's closer to the whole numbers

find the lateral area and surface area of a right cone with radius 6 in. and height 8 in. give your answers in terms of pie

Answers

$r=6in\n\nH=8in\n\nA=\pi rl\n\nPythagoras\ theorem:\n\nr^2+H^2=l^2\n\nl^2=6^2+8^2\n\nl^2=36+64\n\nl^2=100\n\nl=√(100)\n\nl=10\ (in)$

$A=\pi\cdot6\cdot10=60\pi\ (in^2)$

Find the value of y+1 given that 2y+8=4.

Answers

Answer:

$2y + 8 = 4 \n 2y = 4 - 8 \n 2y = - 4 \n y = ( - 4)/(2) \n y = - 2 \n y + 1 = - 2 + 1 \n \boxed{y + 1 = - 1}$

Therefore, the value of (y+1) is -1

(y+1) = -1 is the right answer.

Which expression should be used to estimate the answer to this story problem?Marcus is reading a long novel. For 5 nights, he read 83 pages each night. How many pages did Marcus read?

A.90 × 5

B.90 ÷ 5

C.80 ÷ 5

D.80 × 5

Answers

D,because you would round down

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