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ivann1987 [24]
3 years ago
10

what is the length of the hypotenuse of a right triangle whose legs are 5 and the square root of two

Mathematics
1 answer:
Lelu [443]3 years ago
8 0
To begin with, you need to use Pythagorean Theorem (a^2+b^2=c^2)
5 becomes 25
Solve for the square root first which is 1.414213562 and this becomes 2
So you add this two numbers and it will give you 27
Square root 27 and its 5.196152423
You can check it using this equation
5^2+square root of 2^2=5.196152423^2

The length of the hypotenuse is 5.1961524227066

~Revilla03

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Answer:

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Step-by-step explanation:

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17)Let f(x) = -2x + 5 and g(x) = 9x2 + 4. Find f(8) + g(8) . A)565 B)569 C)564 D)560​
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Answer:

answer B \boxed{ \ 569 \ }\\

Step-by-step explanation:

f(8)=-2*8+5=-11

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There is a bag filled with 5 blue and 6 red marbles.
Afina-wow [57]

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

\displaystyle P\left(\text{Red}\right)=\frac{6}{11}

Since the marble is replaced, the probability of getting another red is: \displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}

The probability of getting a blue marble first is:

\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}

And the probability of getting another blue is:

\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}

So, the probability of getting two of the same color is:

\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

4 0
2 years ago
Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below.
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Answer:

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
A rectangular prism has dimensions of 2 ft, 4 ft, and 6 ft. If the dimensions are doubled, what would happen to the volume?
kondor19780726 [428]

Answer:

Volume is increased in a factor of 8. The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

Step-by-step explanation:

The formula for the volume of the rectangular prism is:

V = w\cdot h \cdot l

Where:

w - Width

h - Height

l - Length

If dimensions are doubled, then volume is increased in a factor of 8:

V_{f} = (2\cdot w)\cdot (2\cdot h)\cdot (2\cdot l)

V_{f} = 8\cdot w \cdot h \cdot l

V_{f} = 8 \cdot V_{o}

The volume is increased from 48\,ft^{3} to 384\,ft^{3}.

3 0
3 years ago
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