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Mnenie [13.5K]
3 years ago
8

A 12-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on the level ground 7 f

eet from the base of the building. How high up the wall does the ladder reach? (Round to the nearest hundredth as needed.)
Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Answer: the height that the ladder reaches is 4 feet.

Step-by-step explanation:

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the height that the ladder reaches, h, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

12² = 7² + h²

144 = 49 + h²

h² = 144 - 49

h² = 95

h = √95

h = 7.45 feet

Airida [17]3 years ago
3 0

Answer:

the ladder reaches up to 9.75 ft. high

Step-by-step explanation:

a^2+b^2=c^2

plug in the numbers

a^2+49=144

then subtract 49 from 144

a^2=95

then sq 95

a=9.75

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The stem-and-leaf plot shows the ages of people at a family reunion.
klio [65]

Answer:

1) 11

2) 4

Step-by-step explanation:

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A geologist examines 14 geological samples for iron concentration. The mean iron concentration for the sample data is 0.181 cc/c
kykrilka [37]

Answer:

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

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M = 1.645*\frac{0.0318}{\sqrt{14}} = 0.0140

The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.

The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.

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