In the figure, two poles are 25 m and 35 m high. A cable 23 m long Joins the tops of the poles. Find the distance between the poles.​

Answer: 20.71 m

Step-by-step explanation:

Given

the length of the poles are 25m and 35 m

The length of the cable is 23 m

Suppose the distance between them is x

From the figure, apply Pythagoras theorem

[tex]\Rightarrow 23^=x^2+10^2\\\Rightarrow 529-100=x^2\\\Rightarrow x^2=429\\\\\Rightarrow x=\sqrt{429}=20.71\ m[/tex]

Distance between Poles is 20.71 m

Find the average of f(x)=x^3-x over [0,2]

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Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.

1.2
2.8
1.5
19.3
2.4
0.7
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18.8
6.1
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1.7
29.1
2.6
0.2
10.2
5.1
0.9
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1. What are the appropriate null and alternative hypotheses?

a. H0: μ = 10 versus Ha: μ ≠ 10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠ 10
d. H0: μ = 10 versus Ha: μ < 10


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3. What is the critical value for the test? Give your answer to four decimal places.
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Who’s fault is it
So it was Easter and my water was at the table and about 7 inches away from the table, then my sister was reaching something competing with my cousin and then she spilled the water on the floor and there was my charger, and I hurried to dry the charger but when I charged it, didn’t work. So it ment it broke.

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A school district is considering moving the start of the school day at Groveland High from 8:00 a.m. to 9:00 a.m. to allow students to get more sleep at night. They want to estimate how many more hours of sleep teens get if their school starts at 9:00 a.m. compared to teens whose schools start at 8:00 a.m. The district takes random samples of 50 of students from Groveland High and 39 students from Phillips High School, which starts at 9:00 a.m., and surveys them about their sleep habits. The sample mean number of hours of sleep per student at Groveland is 7.1 hours, and the standard deviation is 1.7 hours. At Phillips, the sample mean is 8.3 hours of sleep, with a standard deviation of 1.9 hours. What is the 90% confidence interval for the difference in mean hours of sleep for students at the two high schools

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30 POINTS FOR BRAINLIEST ANSWER!!!!!!!​

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make up a new animal that can do some incredible thing. write a short description of that animal and its special capability compared to it's size. write a proportion question regarding your size and what you could be

A large clock in a town square has a minute hand that is 10 feet long. Which value is the best estimate of
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6 Melvin and Roberto played football on two different teams last season.
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