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aleksklad [387]
3 years ago
7

Stonehenge is a circular arrangement of massive stones near Salisbury, England. A viewer at V observes the monument from a point

where two of the stones A and B are aligned with stones at the endpoints of a diameter of the circular shape. Given that arc mAB = 48°, what is angle mAVB?

Mathematics
2 answers:
Marysya12 [62]3 years ago
8 0

We are given the following measures:

mAB = 48°

mDC = 180°

 

In the given figure above, we can say that angle AVB is an exterior angle which intercepts two arcs, arc AB and arc DC, therefore in this case to solve for the measure of angle mAVB, we have to make use of the formula which is in words:

Find the difference between the measures of the two intercepted arcs and divide by 2, or expressed mathematically in this case as:

mAVB = (mDC – mAB) / 2

 

Substituting the given values into the equation:

mAVB = (180° - 48°) / 2

mAVB = 66°

GrogVix [38]3 years ago
5 0
Angle AVB = 1/2 AB
Angle AVB = 1/2 45 degrees
Angle AVB = 90
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3 years ago
Miguel has triple David's money, while Lisbeth has ten dollars less than David. The sum of their money totals $95. How much mone
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Answer:

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Step-by-step explanation:

let Miguel share be M

let Lisbeth share be L

let David share be D

from the question, we know that

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3 years ago
The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d
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Answer: 49.85%

Step-by-step explanation:

Given : The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The distribution of the number of daily requests is bell-shaped ( normal distribution ) and has a mean of 61 and a standard deviation of 9.

i.e.  \mu=61 and \sigma=9

To find :  The approximate percentage of lightbulb replacement requests numbering between 34 and 61.

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i.e. i.e. The approximate percentage of lightbulb replacement requests numbering between \mu and \mu+3(\sigma). (1)

According to the 68-95-99.7 rule, about 99.7% of the population lies within 3 standard deviations from the mean.

i.e. about 49.85% of the population lies below 3 standard deviations from mean and 49.85% of the population lies above 3 standard deviations from mean.

i.e.,The approximate percentage of lightbulb replacement requests numbering between \mu and \mu+3(\sigma) = 49.85%

⇒ The approximate percentage of lightbulb replacement requests numbering between 34 and 61.= 49.85%

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On the day of his 18th birthday harry decided to start saving money regularly
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We have been given that on the day of his 18th birthday Harry decided to start saving money regularly . Starting on that day, he could save 30.00 on the same date every month. We are asked to find the amount saved by the day before Harry's 60th birthday.

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\text{Total amount saved}=\$30\times 504

\text{Total amount saved}=\$15,120

Therefore, Harry would have saved \$15,120 by the day before his 60th birthday.

3 0
3 years ago
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