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m_a_m_a [10]
2 years ago
13

23. A grid shows the positions of a subway stop and your house. The subway stop is located at (-5, 2) and your house is located

at (-9, 9). What is the distance, to the nearest unit, between your house and the subway stop?
Mathematics
1 answer:
Sindrei [870]2 years ago
7 0
(-5, 2)(-9,9)
D = √( (x2 - x1)^2 + (y2 - y1)^2 )
D = √( (-9+5)^2 + (9 - 2)^2 )
D =√( (-4)^2 + (7)^2 )
D = √( 16 + 49 )
D = √65
D = 8
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2 years ago
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What is the measure in radians for the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm?
ololo11 [35]

central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Step-by-step explanation:

We need to find the central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm.

arc length l== 7.2 cm

radius =r= 8 cm

central angle=Ф = ?

The formula used is:

l=r\theta

Putting values:

\theta=\frac{l}{r}\\ \theta=\frac{7.2}{8} \\\theta=0.9\,\,radians

So, central angle of a circle whose radius is 8 cm and intercepted arc length is 7.2 cm is 0.9 radians

Keywords: central angle of circle

Learn more about central angle of circle at

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4 0
1 year ago
Alice hall, who loves to cook, makes an apple cake (serves six) for her family. the recipe calls for 2 1/2 pounds of apples, 2 1
OLEGan [10]
The number of people being served went from 6 to 24, so the serving quadrupled.
So multiply 2.5 by 4 and you get 10 pounds of apples.
7 0
1 year ago
Difference of squares gives which complex factors for the expression x^2+13
Serga [27]

The Given Expression is : → x² + 13

  =  x² + (√13)²

=  x² - ( i √13)²  As , i²= -1 because , i = √-1

= (x - i√13)(x +√13)   → Using the formula , A² - B² = (A-B)(A+B)

Out of the four options Given : Option C →(x - i√13)(x +√13) is true regarding the expansion of function x² + 13.

7 0
2 years ago
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Sales personnel for Skillings Distributors submit weekly reports listing the customer contacts made during the week. A sample of
Thepotemich [5.8K]
<h2><u>Answer with explanation</u>:</h2>

As per given , we have

sample size : n= 65

degree of freedom : df=n-1=64

sample mean : \overline{x}=19.5

sample standard deviation : s= 5.2

Since , the population standard deviation is not given  , so we apply t-test.

Significance level  for 90% confidence : \alpha=1-0.90=0.10

t-critical value for significance level 0.10 and df = 64 would be :

t_c=t_{\alpha/2, df}=t_{0.05,\ 64}=1.6690

Formula for Confidence interval :

\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}

Then , 90%  confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :

19.5\pm(1.669)\dfrac{5.2}{\sqrt{65}}

=19.5\pm1.076

(19.5-1.076,\ 19.5+1.076)=(18.424,\ 20.576)

∴ 90% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.424, 20.576)

Significance level  for 95% confidence : \alpha=1-0.95=0.05

t-critical value for significance level 0.05 and df = 64 would be :

t_c=t_{\alpha/2, df}=t_{0.05,\ 64}=1.9977

Then , 95%  confidence intervals for the population mean number of weekly customer contacts for the sales personnel would be :

19.5\pm(1.9977)\dfrac{5.2}{\sqrt{65}}

=19.5\pm1.288

(19.5-1.288,\ 19.5+1.288)=(18.212,\ 20.788)

∴ 95% confidence intervals for the population mean number of weekly customer contacts for the sales personnel : (18.212, 20.788)

4 0
2 years ago
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