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Alik [6]
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?
Mathematics
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

You might be interested in
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

7 0
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

5 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (-3,8) and (-8, 2)
Marrrta [24]

Answer:

Coordinates of the midpoint are (-5.5, 5)

5 0
3 years ago
A small business earns a profit of $4,500 in
olchik [2.2K]

Answer:

$2750/month

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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