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3 years ago

Find the length of the missing leg of a right triangle given a leg of length 8 and a hypotenuse of length 10.

Mathematics

2 answers:

max2010maxim [7]3 years ago

6 0

4.

You can get this by using the Pythagorean Theorem.

bogdanovich [222]3 years ago

4 0

Answer:

1.) c. 5

2.) c. 6

3.) c. no

4.) b. Obtuse

5.) c. 8 sqr 2

ur welcome

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Step-by-step explanation:

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2 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

slamgirl [31]

Answer:

The score is $x = 1884$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 1500$

The standard deviation is $\sigma = 300$

From the question we are told that the score follow a normal distribution

i.e $X \~ \ N( 1500 , 300)$

The proportion of score in the top 10% is mathematically

$P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10$

Where x is the minimum score required to be in the top 10%

Now the $\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)$

$P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10$

$P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10$

So the critical value of 0.10 from the normal distribution table is $Z_{0.10} = 1.28$

$\frac{x - 1500}{300} = 1.28$

$x = 1884$

6 0

3 years ago

What is the solution of this system of linear equations? 3y = 3 y equals StartFraction 3 over 2 EndFraction x plus 6.X + 6 y – S

Scrat [10]

Answer:

(0,6)

Step-by-step explanation:

The given system of equations is

$y = \frac{3}{2}x + 6$

and

$\frac{1}{2}y - \frac{1}{4}x = 3$

We substitute the first equation into the second equation to get:

$\frac{1}{2} ( \frac{3}{2}x + 6) - \frac{1}{4}x = 3$

We expand to get:

$\frac{3}{4} x + 3 - \frac{1}{4}x = 3$

We group similar terms to get:

$\frac{3}{4}x - \frac{1}{4}x = 3 - 3$

$\frac{1}{2}x = 0$

$x = 0$

Put x=0 in to the first equation to get:

$y = 6$

Therefore the solution is (0,6)

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3 years ago

Divide 33 photos into two groups so the ratio it 4 to 7

katrin2010 [14]

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