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2 years ago

I NEED HELP PLEASE 15 POINTS

Mathematics

1 answer:

ra1l [238]2 years ago

8 0

Answer:

20°

Step-by-step explanation:

∡EFJ = 70°

∡JFK = 90°

So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°

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The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h

gregori [183]

The answer for the exercise shown above is the second option, which is: <span>Maximum: 32°; minimum: −8°; period: 10 hours.
The explanation is shown below:
</span> You can make a graph of the function given in the problem above: f(t)=20Sin(π/5t)+12.
As you can see in the graph, the maximum point is at 32 over the y-axis, and the minimum is at -8.
The lenght of the repeating pattern of the function (Its period) is 10.

6 0

3 years ago

The measure of an angle in standard position is given. Find two positive angles and two negative angles that are coterminal with

Pani-rosa [81]

Notice the picture below

negative angles, are just angles that go "clockwise", namely, the same direction a clock hands move hmmm so.... and one revolution is just 2π

now, you can have angles bigger than 2π of course, by simply keep going around, so, if you go around 3 times on the circle, say "counter-clockwise", or from right-to-left, counter as a clock goes, 3 times or 3 revolutions will give you an angle of 6π, because 2π+2π+2π is 6π

now... say... you have this angle here... let us find another that lands on that same spot

by simply just add 2π to it :)

$\bf \cfrac{7}{6}+2=\cfrac{19}{6}\qquad thus\qquad \cfrac{7\pi} {6}+2\pi =\cfrac{19\pi }{6}
\\\\\\
\cfrac{19\pi }{6}\impliedby co-terminal\ angle$

now, that's a positive one
and $\bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}
\\\\\\
-\cfrac{5\pi }{6}\impliedby \textit{is also a co-terminal angle}$

to get more, just keep on subtracting or adding 2π

8 0

3 years ago

Are the triangles congruent if they are which theorem and why?

leonid [27]

Yes the sides are equal to each other

7 0

3 years ago

Alan can type 80 words in two

Sonbull [250]

Answer:

2400 words

Step-by-step explanation:

80 = 2 min

60min ÷ 2min = 30min

30 × 80 = 2400 words

3 0

3 years ago

Read 2 more answers

A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will have little effect on the

ale4655 [162]

Answer:

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

Arithmetic Mean
Median
Mode
Geometric Mean
Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

6 0

2 years ago