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patriot [66]
3 years ago
15

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form. *Will give brainliest*

Mathematics
1 answer:
goldenfox [79]3 years ago
7 0

Answer:

√134

Step-by-step explanation:

Solve for the top line first,

√(5²+3²)

= √34

then for the dotted line,

√(10²+(√34)²)

= √134

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−2 1/2 −5 3/4 The distance between the two numbers is
emmainna [20.7K]

the answer to this question is -7.25 or 7 1/4

5 0
3 years ago
For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.
Archy [21]

Answer:

<u><em>28 minutes.</em></u>

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for <u><em>28 minutes.</em></u>

4 0
2 years ago
Can someone please help me
Nookie1986 [14]
Sure What do u need help with I am always here
5 0
3 years ago
Use the Ratio Test to determine whether the series is convergent or divergent.
natka813 [3]

Answer:

The series is absolutely convergent.

Step-by-step explanation:

By ratio test, we find the limit as n approaches infinity of

|[a_(n+1)]/a_n|

a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)

a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)

[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]

= |-3n³/2(n+1)³|

= 3n³/2(n+1)³

= (3/2)[1/(1 + 1/n)³]

Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity

= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity

= 3/2 × 1

= 3/2

The series is therefore, absolutely convergent, and the limit is 3/2

3 0
3 years ago
One pipe fills a storage pool in 8 hours. A second pipe fills the same pool in 4 hours. When a third pipe is added and all three
steposvetlana [31]
The first pipe fills 1/8 of a pool in one hr.
The second pipe fills 1/4 of a pool in one hr.

(1/8+1/4)2= 3/4 done by the first two pipes in 2 hours.
Therefore the last pipe must do 1 1/4 of the filling in 2 hours, which is 5/8 per hour.

5/8x=1
x=8/5

It takes the third pipe 1 hour and 36 minutes to fill it by itself.
7 0
3 years ago
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