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2 years ago

What is the length of the hypotenuse of the right triangle below? Plz help

Mathematics

2 answers:

STALIN [3.7K]2 years ago

5 0

Hint: The rule of the 45-45-90 triangle is that both sides are x and the hypotenuse is x√2.

x = 5√2

To find the hypotenuse you multiply x by √2.

5√2 (√2)
5√4
5 (2)
10

The hypotenuse is 10.

serious [3.7K]2 years ago

5 0

The pythogorean theroem says that a^2+b^2=c^2, where a and b are legs of the right triangle and c is the hypothnuse. Therefore, when you add 5 times sqrt 2 and the other number sqrt 2 (i can't see it ) then it should get you 5+x=c^2. Then you add the two numbers and sqrt the sum. Because I can't see the other number, that's the best I can do.

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Two equations with the solution of (3,6)

Anastasy [175]

Step-by-step explanation:

(2+6+9+3+7+3):10=3

57-56+57+90-147+5=6

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2 years ago

Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p

zvonat [6]

Answer:

15.39% of the scores are less than 450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 565, \sigma = 113$

What percentage of the scores are less than 450?

This is the pvalue of Z when X = 450. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{450 - 565}{113}$

$Z = -1.02$

$Z = -1.02$ has a pvalue of 0.1539

15.39% of the scores are less than 450

6 0

2 years ago

Find the equation of the line through (6,4) and (-3,-8)

alexdok [17]

Answer:

y = 4/3x - 4

Step-by-step explanation:

to find the equation of a line with 2 points, we use the slope formula which is:

$\frac{y_2-y_1}{x_2-x_1}$

we will use (6,4) as $x_1[tex] and [tex]y_1$ and we will use (-3,-8) as $x_2[tex] and [tex]y_2$ . we plug this into the slope formula:

$\frac{-8-4}{-3-6}$

-8 - 4 = -12

-3 - 6 = -9

the slope is $\frac{-12}{-9}$

but we can simplify this further by dividing the fraction by -3

-12 / -3 = 4

-9 / -3 = 3

the simplified version of the slope is $\frac{4}{3}$

we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope

y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)

4 = 4/3(6) + b < multiply 4/3 x 6

4 = 8 + b < subtract 8 from both sides

-4 = b

our y intercept would be (0,-4)

the equation looks like the following:

y = 4/3x - 4, which is our answer

3 0

2 years ago

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dolphi86 [110]

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