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3 years ago

9

Aaron is standing at point C, watching his friends on a Ferris wheel. He knows that he is looking up at a 57° angle and the meas

ure of arc BD is 80°. What is the measure of arc AED?

2 answers:

Afina-wow [57]3 years ago

7 0

Answer: the answer is 194

Step-by-step explanation:

grandymaker [24]3 years ago

5 0

Answer:

194

Thanks????

Step-by-step explanation:

57 = 1/2(x-80)

114 = x-80

+180= +180

X= 194

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I) Find the first 4 terms in the expansion of

Katyanochek1 [597]

Answer:

(i) $64+192 x^2+240 x^4+160x^6$

(ii) 1072

Step-by-step explanation:

<u>Part (i)</u>

Using Binomial series formula:

$(2+x^2)^6=2^6+6C1 \cdot 2^{6-1}\cdot x^2+6C2 \cdot 2^{6-2}\cdot(x^2)^2+6C3 \cdot 2^{6-3}\cdot(x^2)^3$

$=64+6 \cdot 32\cdot x^2+15 \cdot 16\cdot x^4+20 \cdot 8 \cdot x^6$

$=64+192 x^2+240 x^4+160x^6$

<u>Part (ii)</u>

<u /> $(1-\frac{3}{x^2})^2=(1-\frac{3}{x^2})(1-\frac{3}{x^2})$

$=1-\dfrac{6}{x^2}+\dfrac{9}{x^4}$

$(2+x^2)^6(1-\frac{3}{x^2})^2=(64+192 x^2+240 x^4+160x^6)\left(1-\dfrac{6}{x^2}+\dfrac{9}{x^4} \right)$

$=64-\dfrac{384}{x^2}+\dfrac{576}{x^4}+192x^2-1152+\dfrac{1728}{x^2}+240x^4-1440x^2+2160+...$

There is no need to keep expanding since the remaining will include the variable.

Therefore, the term independent of x = 64 - 1152 + 2160 = 1072

6 0

2 years ago

9. What is the likelihood that a randomly selected couple's relationship survived between 90 and 150 days

andrew-mc [135]

Answer:

0.5818

Step-by-step explanation:

Suppose the average teenage romantic relationship is normally distributed with a mean number of 100 days with a standard deviation of 30 days.

Answer:

The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

$z=\frac{x-\mu}{\sigma}\\ \\where\ \mu=mean,\sigma=standard\ deviation, x=raw\ score$

Given that:

$\mu=100\ days,\sigma=30\ days\\\\For\ x=90\\\\z=\frac{90-100}{30} =-0.33\\\\For\ x=150\\\\z=\frac{150-100}{30} =1.67$

Therefore, from the normal distribution table, P(90 < x < 150) = P(-0.33 < z < 1.67) = P(z < 1.67) - P(z < -0.33) = 0.9525 - 0.3707 = 0.5818

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3 years ago

Select the exclusion that fits best with this problem.<br><br><br><br> 13x^6/51x^4

Damm [24]

ANSWER

$x \ne0$

EXPLANATION

The given problem is

$\frac{13 {x}^{6} }{ 51 {x}^{4} }$

This is defined if and only if

$x \ne0$

Even the given expression can be simplified to obtain:

$\frac{13 {x}^{2} }{ 51}$

The exclusion is

$x \ne0$

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Marrrta [24]

Answer:

Coordinates of the midpoint are (-5.5, 5)

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3 years ago

A small business earns a profit of $4,500 in

olchik [2.2K]

Answer:

$2750/month

Step-by-step explanation:

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3 years ago

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