What type of association does the graph show between x and y? a Linear positive association Nonlinear positive associazion Linear negative association Nonlinear negative association​

Given:

The measure of three sides of a triangle are 8, 7 and 14.

To find:

The measure of the angle opposite the side of length 8.

Solution:

According to the Law of Cosine:

[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]

Let a=8, b=7 and c=14, then by using Law of Cosine, we get

[tex]\cos A=\dfrac{7^2+14^2-8^2}{2(7)(14)}[/tex]

[tex]\cos A=\dfrac{49+196-64}{196}[/tex]

[tex]\cos A=\dfrac{181}{196}[/tex]

Taking cos inverse on both sides.

[tex]A=\cos^{-1}\dfrac{181}{196}[/tex]

[tex]A=22.561328[/tex]

[tex]A\approx 22.6[/tex]

Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.

Answer:

CD overbar is congruent to XY overbar

Answer:

Its b

Step-by-step explanation:

I had to use multiple apps to get this but im pretty sure its b, its definitly not A c or D. I have this exact same test.

Answer:

During the month of September.

Step-by-step explanation:

The temperature in Beijing, in m months after January, is given by the following equation:

[tex]T(m) = 27\cos{(\frac{\pi}{6}(m-6))} + 45[/tex]

In which m is the number of months after January.

During which month in the year would the temperature reach 55°F?

We have to find m for which: T(m) = 55. So

[tex]T(m) = 27\cos{(\frac{\pi}{6}(m-6))} + 45[/tex]

[tex]55 = 27\cos{(\frac{\pi}{6}(m-6))} + 45[/tex]

[tex]27\cos{(\frac{\pi}{6}(m-6))} = 10[/tex]

[tex]\cos{(\frac{\pi}{6}(m-6))} = \frac{10}{27}[/tex]

Applying the inverse cosine to both sides:

[tex]\cos^{-1}{(\cos{(\frac{\pi}{6}(m-6))})} = \cos^{-1}{(\frac{10}{27})}[/tex]

[tex]\frac{\pi}{6}(m-6) = 1.19[/tex]

[tex]\pi(m-6) = 6*1.19[/tex]

[tex]\pi m - 6\pi = 6*1.19[/tex]

[tex]\pi m = 6*1.19 + 6\pi[/tex]

[tex]m = \frac{6*1.19 + 6\pi}{\pi}[/tex]

[tex]m = 8.27[/tex]

8.27 months after January

8.27 + 1 = 9.27, so during the month of September.

Answer:

B.  September

Step-by-step explanation:

Correct on Edge 2021

Answer: 56

Step-by-step explanation:

Answer:

x = 55.94 degrees

Step-by-step explanation:

(to find x, use cosine) (cos = [tex]\frac{adjacent}{hypothenuse}[/tex])

First step: write out the equation

⇒ cos x = [tex]\frac{14}{25}[/tex]

Second step: find out what [tex]\frac{14}{25}[/tex]  is

⇒ [tex]\frac{14}{25}[/tex] = 0.56

Third step: find out what the cos-1 of 0.56 is

⇒ cos-1 of 0.56 = 55.94

Fourth step: you got your answer

⇒ x = 55.94

Answer:

He will have 6,408 dollars in the next 3 years.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

144/16=9

Each child gets sixteen coins if there are nine children.

9+3=12

There are three more children so there are twelve.

Answer:

7 years

Step-by-step explanation:

Given :

The Simple Interest earned, I = $ 6720

Rate of interest, r = 8% per annum

Principal amount, P  = $12,000

We known that :

[tex]$I = \frac{P \times T \times r}{100}$[/tex]

Here t is the number of years of investment.

Therefore,

[tex]$t= \frac{I \times 100}{p \times r}$[/tex]

[tex]$t= \frac{6720 \times 100}{12000 \times 8}$[/tex]

t = 7

So, the sum was invested for 7 years.

Answer:

A and C

Step-by-step explanation:

#CarryOnLearning

Answer:

33

Step-by-step explanation:

Answer:

3/4 x 7 = 21/4 in fraction form. 3/4 x 7 = 5.25 in decimal form.

Answer:

0.06euros (2dp)

Step-by-step explanation:

18 donuts = 0.50euros (50 cents)

1 donut = 0.03euros (2dp) (3 cents)

2 donuts = 0.06euros(2dp) (6cents)

Answer:

20÷(-10)=-2 is the answer

Find the similarity ratio from the other two sides.

AC ~ DF

and

BC ~ EF

AC = 12

DF = 36        

36 ÷ 12 = 3

BC = 9

EF = 27

27 ÷ 9 = 3

Ratio similarity scale is, 1 : 3

We have AB ~ DE

AB = x

DE = 24

24 ÷ x = 3

24 ÷ 3 = x

8 = x

The value of x is 8

Answer:

the answer is 29.61

Step-by-step explanation:

cross multiply or set up a basic multiplication box removing the decimals and adding it back

2/x+4=3^x+1It's too short. Write at least 20 characters to explain it well.

Answer:

$77.44

Step-by-step explanation:

If the shoes cost $88 but you get a 20% discount, subtract 20% from 88: -->

$88-20% = $70.4

Then add 8% of 88 to 70.4 -->

8% of $88 = $7.04.

$70.4 + $7.04 = $77.44

Therefore the final price of the shoes are $77.44

Hope this helps!!!~~ <3

Answer: 24 bottles

Step-by-step explanation: 1 gallon is 8 pints so 8*3 is 24 so 24 bottles

Answer: 1210

Step-by-step explanation:

Answer: the answer is 14 if the 2 and  7 are a fraction and if it’s just 27xn=4 the answer is 4/27 and in decimal form it’s 0.148

Step-by-step explanation:

Answer: n=14

First, multiply 2/7xn which is 2n/7=4

Next, multiply both sides by 7 to get the 2n on one side by its self (2n=28)

Then divide 28 by 2 which gives you n=14

Hope that helps

Answer: the answer is 4.08

Step-by-step explanation:

Answer:

4.08

Step-by-step explanation:

2.29+2.59-0.50-0.30 is equal to 4.08

it's just addition and subtraction haha

Answer:

The unit rate will be amount ÷ price

Thus,

3÷4.50

⇒ 0.66..........

And this means 0.66 will be the range.

Answer:

y=12x-4

Step-by-step explanation:

To find the slope intercept form, we know the m(slope) but we need to find b.

y and x is given to us, so we can find b.

Plug in the numbers provided into the slope intercept form.

y=mx+b

20=(12)(2)+b

20=24+b

To find b, we have to get b by itself. So, we subtract both sides by 24.

-4=b

Now that we found b, we can plug this into the equation.

y=12x-4

Answer:

x=81°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

57+42=99

180-99=81

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

85, 91, 83, 78, 79, 64, 81, 97

Ordered data : 78, 79, 81, 83, 85, 91, 97

Mean:

Σx / n =

n = sample size = 8

(64+78+79+81+83+85+91+97) / 8

= 658 / 8

= 82.25

Median = 1/2(n+1)th term

1/2(8+1)th term = 1/2 * 9 = 4.5th term

(4th term + 5th term) /2 = (81 + 83) / 2 = 82

Mode = 85, 91, 83, 78, 79, 64, 81, 97

Outlier:

Lower = Q1 - 1.5(IQR)

Upper = Q3 + 1.5(IQR)

Using a calculator :

Q1 = 78.5 ; Q3 = 88 ;

IQR = (Q3 - Q1)

(88 - 78.5) = 9.5

Outlier :

78.5 - 1.5(9.5) = values < 64.25

88 + 1.5(9.5) = values > 102.5

Hence. Outlier is 64

Removing the Outlier :

Data = 78, 79, 81, 83, 85, 91, 97

Mean = 84.85

Median = 83

Based on the result, the median is the best measure of central tendency for the data:

Answer:

2x² - 8x + 3

Step-by-step explanation:

( 3x² - 5x +3) + (-x² - 3x)

= 3x² - 5x +3 - x² - 3x

= 3x² - x² - 5x - 3x + 3

= 2x² - 8x + 3

Answer:

[tex] \sqrt{ 384} [/tex]

Step-by-step explanation:

Well I commented this already but I'm not sure if you saw it. If you're trying to convert it all to a radical form then you square the 8 and multiply it by the 6.

[tex]8 \sqrt{6} [/tex]

8² = 64

64 • 6 = 384

[tex] \sqrt{ 384} [/tex]

90 Minutes i think

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Answer:

10%

Step-by-step explanation:

86 + 774 = 860 total mugs

86/860 or 86 ÷ 860 = 0.1 or 10%