PLEASE HELPPPPP!!!!!!!!! (show work if you can)

Answer:

[tex]a + b + c = \pi \\ = > c= \pi - a - b \\ < = > \tan(c) = \tan(\pi - a - b) = -\tan(a + b) [/tex]

Step-by-step explanation:

we have:

[tex] \tan(a) + \tan(b) + \tan(c) \\ = \tan(a) + \tan(b) - \tan(a + b) \\ = \tan( a) + \tan(b) - \frac{ \tan(a) + \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{ ( \tan(a) + \tan(b) ) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (1)[/tex]

we also have:

[tex] \tan(a) \tan(b) \tan(c) \\ = - \tan(a) \tan(b) \tan(a + b) \\ = \frac{ -(\tan( a ) + \tan(b) ) \tan(a) \tan(b) }{1 - \tan(a) \tan(b) } \\ = \frac{( \tan(a) + \tan(b)) \tan(a) \tan(b) }{ \tan(a) \tan(b) - 1 } (2)[/tex]

from (1)(2) => proven

Answer:

x = 85

Step-by-step explanation:

Its a Pythagorean theorem question, being a^2 + b^2 = c^2.

and knowing that 168 is the entire base we would divide by 2 to get 84 as b.

The new equation would be 13^2 + 84^2 = c^2

Then squaring them to get 169 + 7056 = c^2

Then add them together and square root them [tex]\sqrt{x}[/tex] 7225 = c

The square root is 85 making it equal x.  

Complete question is attached below :

Answer:

40, 66, 55, 70, 80, 58, 65 - option B

Step-by-step explanation:

From the boxplot attached ;

We could deduce that the least temperature is denoted by the starting point of the whisker, which is 40

The maximum temperature, is the 80, denoted by end of the end whisker.

The median is the value in the middle of the box which is 65

Lower quartile being 55 and upper quartile being 70

Hence, From the options given, the most appropriate answer will be :

40, 66, 55, 70, 80, 58, 65 - option B

IF ARRANGED IN ASCENDING ORDER, we'll have 40, 55, 58, 65, 66, 70, 80

Step-by-step explanation:

Possible question so that I can help you with the solution

Answer:

The scatter plot shows a positive correlation.

Answer:

D. 962

Step-by-step explanation:

The volume of a rectangular prism is the length x width x height.

22.9*7.5*5.6=961.8

961.8 rounds up to 962

Answer:

[tex]\huge\colorbox{violet}{✏﹏ \: ᴀɴsᴡᴇʀ \: }[/tex]

[tex]2y + 4 = 8 \\ 2y = 8 - 4 \\ 2y = 4 \\ y = \frac{4}{2} \\ y = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

y=4/2=2

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

I took a test and that was the answer

Harold ran 3.75 kilometers in 5 kilometers long race.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

Given, a race is 5 kilometers long.

Harold ran 3/4 of the race.

To find the numbers of kilometers, Harold run

That means,

we multiply 3/4 to the total race's length.

Required length

= 5 x 3/4

= 15/4

= 3.75

Therefore, Harold ran 3.75 kilometers.

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Answer:

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 23 - 1 = 22

88% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.88}{2} = 0.94[/tex]. So we have T = 1.6176

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.6176\frac{8.73}{\sqrt{23}} = 2.94[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1.64 - 2.94 = -1.30 lbs

The upper end of the interval is the sample mean added to M. So it is 1.64 + 2.94 = 4.58 lbs

The 88% confidence level for the average weight gain if between -1.30 lbs and 4.58 lbs.

Answer: CANNOT DO

Step-by-step explanation:

The sample size is less than 30 and it does not specifically state that it is normally distributed, so you cannot compute the answer.

Answer: Shorter: 5 m Longer: 12m Hypotenuse: 13 m

Step-by-step explanation:

Answer:

1) <SZR    

2) n=40

Step-by-step explanation:

Sorry I can't explain but I got these answers from the teacher's notes.

Answer:

6

Step-by-step explanation:

The median is the middle of the data, or the middle number in a given set of numbers.

Answer:

16.99

Step-by-step explanation:

Because I used trigonometry

Answer:

Prime

Step-by-step explanation:

2(x?)+16y

O(x+4y)(x+4y)

x²+4xy+4xy+16y²

x²+8xy+16y²

O(x+4y)(x-4y)

x²-4xy+4xy-16y²

x²-16y

Prime

O(x-4y)(x-4y)

x²-4xy-4xy+16y²

x²-8xy+16y²

All are incorrect except prime, so the answer is prime.

---

hope it helps

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)

Step-by-step explanation:

| |

-4. +15

Answer:

The smaller box, 12 oz, costs less per oz than the larger 20 oz box.

Step-by-step explanation:

$4.59 divided by 20 = $0.2295 per oz

$2.52 divided by 12 = $0.21 per oz

Answer:

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Step-by-step explanation:

A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.

At the null hypothesis, we test if the mean is of 8 minutes, that is:

[tex]H_0: \mu = 8[/tex]

At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:

[tex]H_a: \mu > 8[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that [tex]\mu = 8[/tex]

A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.

This means that [tex]n = 37, X = 8.7, \sigma = 2.5[/tex]

Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}[/tex]

[tex]z = 1.70[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.

Looking at the z-table, z = 1.7 has a p-value of 0.9554

1 - 0.9554 = 0.0446

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Answer:

0.3

Step-by-step explanation:

0.5 is equal to 1/2, so 1/2 x 0.6 = 0.3

Answer:

Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...

Step-by-step explanation:

!!!

0.5–0.05= 0.45

0.45 In fraction form is Simply:

        9/20   (And that's on lowest terms!)

If you would want it in percentage form to that would simply be:

                                                 45%

    Have A Nice Day!!!!

 ~Pinky~

The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.

The given expression is: 0.5–0.05

Subtract 0.05 from  0.05

0 . 5 0

-0.  0 5

0 . 4 5

So, 0.5–0.05 = 0.45

Multiply and divide by 100 we get,

[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]

Divide both the numerator and denominator by 5 we get,

[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]

Hence,

0.5–0.05 in the lowest fraction is 9/20.

Learn more about the fraction visit:

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Answer:

x=8

Step-by-step explanation:

Answer:

y ≤ -3x + 23

Step-by-step explanation:

1. 6x + 2y ≤ 46

•subtract “6x” from both sides to isolate the “y” variable

2. 2y ≤ 46 -6x

•divide both sides by “2”

3. y ≤ 23 -3x

•reorder the terms so it fits the “y = mx + b” slope-intercept format

4. y ≤ -3x + 23