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kow [346]
3 years ago
12

A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find th

e height h of the roof. Round your answer to the nearest tenth.

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

5

Step-by-step explanation:

Area of right angle Triangle:

6.5 * 9 * 1/2 = 29.25

2nd way to find area:

1/2 * base * height

Since we have area and base:

1/2 * 11.1 * h = 29.25

= 5.27m

= 5m (nearest tenth)

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The population of a local species of dragonfly can be found using an infinite geometric series where a1=42 and the common ratio
san4es73 [151]
\bf \textit{sum of an infinite geometric serie}\\\\
\stackrel{for~~|r|\ \textless \ 1}{S=\sum\limits_{i=0}^{\infty}~a_1r^i\implies \cfrac{a_1}{1-r}}\qquad 
\begin{cases}
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=42\\
r=\frac{3}{4}
\end{cases}
\\\\\\
S=\cfrac{42}{1-\frac{3}{4}}\implies S=\cfrac{42}{\frac{1}{4}}\implies S=164

bearing in mind that, the geometric sequence is "convergent" only when |r|<1, or namely "r" is a fraction between 0 and 1.
3 0
3 years ago
-1/2 and -2 parallel, perpendicular or neither
DanielleElmas [232]
Is there any graph to this problem
8 0
3 years ago
Find x and y <br> Show all the work
alekssr [168]
Both sides are the same so they are equal so...
4x+13=5x-15
x=28

4 0
3 years ago
Read 2 more answers
Suppose a large labor union wishes to estimate the mean number of hours per month a union member is absent from work. The union
frosja888 [35]

Answer:

The 99% confidence interval for the true mean number of hours a union member is absent per month is (0 hours, 16.5125 hours).

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{1-0.99}{2} = 0.005

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 1-0.005 = 0.995, so z = 2.575

Now, find M as such

M = z*s

In which s is the standard deviation of the sample.

So

M = 2.575*3.5 = 9.0125

The lower end of the interval is the mean subtracted by M. So it is 7.5 - 9.0125 = -...

There is not a negative number of hours. So the lower end of the interval is 0 hours.

The upper end of the interval is the mean added to M. So it is 7.5 + 9.0125 = 16.5125 hours.

The 99% confidence interval for the true mean number of hours a union member is absent per month is (0 hours, 16.5125 hours).

8 0
3 years ago
DUE TODAY!!!!!!!!!!!!!!!
andreyandreev [35.5K]

Answer:

1) b would be easier because it’s 1/2bh and since the base of 10 is easily divisible by 2 you don’t have to deal with fractions.

D=sqrt (x2-x1)^2+(y2-y1)^2

D=10

Step-by-step explanation:

7 0
3 years ago
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