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2 years ago

3. Compare corresponding sides that include the

Mathematics

1 answer:

slega [8]2 years ago

4 0

Answer:

AB/AD=1/2 AC/AE=1/2

Step-by-step explanation:

The distance between 2 points A(x1; y1) and B(x2; y2) can be calculated as:

AB= sqrt((x1-x2)²+(y1-y2)²)

So in our case AB= sqrt ((1-3)²+(4-1)²)= sqrt(2²+3²)=sqrt(13)

AD=sqrt ((-1-3)²+(7-1)²)= sqrt(4²+6²)=sqrt(52)

AB/AD=sqrt(13)/sqrt(52)= sqrt(13/52)=sqrt(1/4) =1/2

AB/AD =1/2

AC= sqrt ((5-3)²+(3-1)²)= sqrt(2²+2²)=sqrt(8)

AE=sqrt ((7-3)²+(5-1)²)= sqrt(4²+4²)=sqrt(32)

AC/AE=sqrt(8)/sqrt(32)= sqrt(8/32)=sqrt(1/4)=1/2

AC/AE=1/2

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Ivanshal [37]

(Le français n'est pas ma langue maternelle, alors je m'excuse d'avance si quelque chose n'est pas clair!)

Il me semble que le triangle MNP devrait ressembler à celui que j’ai attaché.

Les triangles MNP et MQR sont similaires, les côtés correspondants sont donc proportionnels:

$\dfrac{MQ}{MN}=\dfrac{MR}{MP}=\dfrac{QR}{NP}$

$\implies\dfrac{2,5}6=\dfrac{MR}{5,7}=\dfrac{1,9}{NP}$

$\dfrac{2,5}6=\dfrac{MR}{5,7}\implies MR=2,375$

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Water tank A has a capacity of 550 gallons and is 66% full. Water tank B is 53% full. The ratio of the capacity of T. How much w

Anna71 [15]

Tank A capacity = 550 gallons 66% x 550 gallons = 363 gallons in Tank A

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2 years ago

6. The mean number of hours of flying time for pilots at Continental Airlines is 37 hours per month (The Wall Street Journal, Fe

SashulF [63]

Answer:

The marginal error is 2.355

Confidence interval is $(34.645,\ 39.355)$

The LB and UB are 34.645 and 39.3555 respectively.

Step-by-step explanation:

Consider the provided information.

n = 49, s = 8.2 c = 95%and $\bar x=37$

Degree of freedom is: n-1 = 49-1 = 48.

$\alpha =\frac{1-c}{2}= \frac{1-0.95}{2}\\\alpha = \frac{0.05}{2}= 0.025$

From the table $t_{\alpha /2}=2.010635$

Marginal error is:

$E=t_{\alpha /2}\times \frac{s}{\sqrt{n}}$

$E=2.0106\times \frac{8.2}{\sqrt{49}}$

$E=2.0106\times \frac{8.2}{7}$

$E=2.0106\times 1.171$

$E=2.355$

Hence, the marginal error is 2.355.

Part (B)

95% confidence interval estimate

$(\bar x-E,\ \bar x+E)$

$(37-2.355,\ 37+2.355)$

$(34.645,\ 39.355)$

Thus, the LB and UB are 34.645 and 39.3555 respectively.

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2 years ago