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3 years ago

Find x = Find m<1= 6 sided polygon

Mathematics

2 answers:

weqwewe [10]3 years ago

4 0

Answer:

i may be wrong but ty 6

Step-by-step explanation:

V125BC [204]3 years ago

4 0

Answer:

Note: This looks incorrect but I couldn't find what's wrong.

x=39.83

angle 1= 84.66 degrees

Step-by-step explanation:

The total sum of the exterior angles of any polygon is 360 degrees.

I see that angle 1 is congruent to angle (2x-5)

Here's our equation:

x+21+x+12+45+2x-5+53+2x-5=360

6x+121=360

6x=239

6x/6=239/6

x=39.83

angle 1 = 2x-5 = 2(39.83)-5 = 84.66 degrees

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Evaluate the function at the given numbers( correct to six decimal places). Use the results to guess the value of the limit or e

netineya [11]

Answer:

Value of the limit is 0.5.

Step-by-step explanation:

Given,

$F(x)=\frac{e^x-1-x}{x^2}$

When,

$x=1,F(1)=frac{e^1-1-1}{1}=e-2=0.718281$

$x=0.5, F(0.5)=\frac{e^0.5-1-0.5}{(0.5)^2}=0.594885$

$x=0.1, F(0.1)=\frac{e^0.1-1-0.1}{(0.1)^2}=0.517091$

$x=0.05, F(0.05)=\frac{e^0.05-1-0.05}{(0.05)^2}=0.508438$

$x=0.01, F(0.01)=\frac{e^0.01-1-0.01}{(0.01)^2}=0.501670 \hfill (1)$

Correct upto six decimal places.

Now,

$\lim_{x\to 0}F(x)=\lim_{x\to 0}\frac{e^x-1-x}{x^2}$ $(\frac{0}{0})$ form, applying L-Hospital rule that is differentiating numerator and denominator we get,

$\lim_{x\to 0}F(x)$

$=\lim_{x\to 0}\frac{e^x-1}{2x}$ $(\frac{0}{0})$ form.

$=\lim_{x\to 0}\frac{e^x}{2}=\frac{1}{2}=0.5\hfill (2)$

Limit exist and is 0.5. That is according to (1) we can see as the value of x lesser than 1 and tending to near 0, value of the function decreases respectively. And from (2) it shows ultimately it decreases and reach at 0.5, consider as limit point of F(x).

8 0

3 years ago

9. Determine whether or not the number 257 is prime.

Sladkaya [172]

Answer:

257 is prime.

Step-by-step explanation:

To evaluate if a number is prime, we just need to evaluate it for the prime numbers that are equal or lesser than the said number's square root.

In this case, √257 = 16.03 so we just need to see if 257 is divisible by <u>2, 3, 5, 7, 11 and 13</u> (the prime numbers that come before 16)

257 is odd, so it is not divisible by 2.

The sum of its digits is 14, therefore, it is not divisible by 3.

257 ends in 7, therefore it's not divisible by 5.

257/ 7 = 36.71 so it's not divisible by 7.

257/ 11 = 23.36 so it's not divisible by 11

Finally 257 / 13= 19.76 so it's not divisible by 13.

Therefore, 257 is prime.

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3 years ago

200 people whee asked how often they go to the movies and whether they prefer action or drama. If 144 people went to the movies

Alex Ar [27]

Answer:

It would be 72% trust me it is correct because this level of questions seems a little to young for me lol

Step-by-step explanation:

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3 years ago

What is y=8.5x contasnt of proportionality

Setler79 [48]

The constant of proportionality represents the unit cost .You use the equation y = 8.5 x to calculate the total cost y in dollars for x in what ever you are buying

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3 years ago

In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they

Arte-miy333 [17]

Answer: 0.22

Step-by-step explanation:

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Given : For the 39 randomly selected upperclassmen, the sample mean was 0.12 and sample standard deviation was 0.42. For the 35 randomly selected underclassmen, the sample mean was 0.34 and the sample standard deviation was 0.87.

Let A denotes the population of upperclassmen and B denotes the population of underclassmen .

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$\overline{x}_B=0.34$

Then, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen will be :-

$\overline{x}_B-\overline{x}_A=0.34-0.12=0.22$

Hence, the point estimate of the difference in the population mean volunteered between underclassmen and upperclassmen =0.22

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3 years ago