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Gekata [30.6K]
3 years ago
9

A 20-foot ladder leans up against the side of a building so that the foot of the ladder is 10 feet from the base of the building

. How far up the
building does the ladder reach? Round your answer to the nearest tenth.
18.1
17.3
15.9
16.4
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

17.3

Step-by-step explanation:

To solve this equation, you need to use the pythagorean theorem which is:

a^{2} +b^{2}= c^{2}

a= length

b= height

c= hypotenuse

First, substitute in your values for the equation:

10^2+b^{2} =20^{2}

Then, use the squares in the equation:

100+b^{2} =400

Then, subtract 100 from both sides to isolate b:

b^{2} =300

Finally, square root both sides to get your answer:

b=17.3205080757

Then round to the nearest tenth which gives you 17.3.

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Answer:

3^x -1

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2 years ago
The seventh root of x divided by eighth root of x
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Read 2 more answers
Given: AB = 4 AC = 6 What point is in the interior of both circles? H. A. B.
AleksAgata [21]

Answer:

Point A is in the interior of both circles

Step-by-step explanation:

<u><em>Verify each point</em></u>

we know that

Point H is in the interior of greater circle but is outside smaller circle

Point A is the center both circles, then is in the interior of greater circle and is in the interior of smaller circle

Point B is on the smaller circle and is in the interior of greater circle

therefore

Point A is in the interior of both circles

5 0
3 years ago
Daily-high temperature measurements for 40 consecutive days are recorded for a particular city. The mean daily-high temperature
Vesnalui [34]

Answer:

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

(D) P-val=0.021, fail to reject the null hypothesis

Step-by-step explanation:

1) Data given and notation  

\bar X=21.5 represent the mean for the temperatures

s=1.5 represent the sample standard deviation

n=40 sample size  

\mu_o =22 represent the value that we want to test

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is less than 22C, the system of hypothesis would be:  

Null hypothesis:\mu \geq 22  

Alternative hypothesis:\mu < 22  

If we analyze the size for the sample is > 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{21.5-22}{\frac{1.5}{\sqrt{40}}}=-2.108    

P-value

We can calculate the degrees of freedom like this:

df=n-1=40-1=39

Since is a one left tailed test the p value would be:  

p_v =P(t_{39}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the mean temperature actually its NOT significant less then 22 at 1% of signficance.  

The best option would be:

(D) P-val=0.021, fail to reject the null hypothesis

5 0
3 years ago
What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?
Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

 = 8 * 5 * 9

  = 360 in ^3

3 0
3 years ago
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