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Kruka [31]
3 years ago
6

Find the length of the third side. If necessary, write in simplest radical form.

Mathematics
1 answer:
AleksandrR [38]3 years ago
8 0

Answer:

6

Step-by-step explanation:

This is a right triangle, and so the Pythagorean Theorem applies.  The legs of this triangle are 3√3 and 3; squaring these gives us 9(3) = 27 and 9.  Then, this Theorem gives us the length of the hypotenuse as

h^2 = 27 + 9, or h^2 = 36, so that h, the length of the hypotenuse, must be 6.

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Seperate the number 53 into 3 parts so that the second number is 3 less than the first number and the third number is twice the
irga5000 [103]
Hello,

Let a the first, b the second and c the third.
a+b+c=53
b=a/3
c=2a
==>a+a/3+2a=53
==>10a/3=53
==>a=15.9
c=2*a=2*15.9=31.8
b=a/3=15.9/3=5.3

Proof: a+b+c=15.9+5.3+31.8=53

The second number is 5.3
7 0
3 years ago
Given that S is the centroid of triangle MNO, find SQ.
DochEvi [55]

Answer:

First, we need to calculate for x. Since,

MP = PN

Thus,


3x-4 = x+4

2x = 8

x = 4


Next, we calculate for MS 

MS = 2x + 2 = 10


Since, MS = 2SQ

10 = 2SQ

Then,

SQ = 5 units


Therefore, the correct answer is B.





8 0
2 years ago
Which of the following conditions must be met in order to make a statistical inference about a population based on a sample
klasskru [66]

Answer:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

For this case if we want to conclude that  the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

\bar X \sim (\mu, \frac{\sigma}{\sqrt{n}})

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

7 0
3 years ago
Which symbol makes the number sentence true? -3.5__ 14/4 (< = >)
8090 [49]

Answer:

it's =

hope this helps

8 0
3 years ago
Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 9x2 – 36x?
Alona [7]

Answer:

The answer to your question is the third option

Step-by-step explanation:

See the picture below

a) In the picture we observe that the parabola was narrowed not widened, so this option is incorrect.

b) From the picture, we conclude that the graph was shifted right 2 units, not four, so this option is incorrect.

c) From the picture, we observe that this option is the correct one.

d) We observe in the picture that this graph was not reflected so this option is incorrect.

7 0
3 years ago
Read 2 more answers
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