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3 years ago

How does the pythagorean theorem work on a right triangle .

2 answers:

5 0

I think the Pythagorean Theorem can work on a right triangle by the area of the square drawn from the hypotenuse is equal to the sum of the areas of the squares that are drawn from the two legs. You can see this illustrated below in the same 3-4-5 right triangle.

insens350 [35]3 years ago

4 0

Answer:

just read my step-by-step

Step-by-step explanation:

Image result for how does the pythagorean theorem work on a right triangle

The Pythagorean Theorem can also be represented in terms of area. In any right triangle, the area of the square drawn from the hypotenuse is equal to the sum of the areas of the squares that are drawn from the two legs. You can see this illustrated below in the same 3-4-5 right triangle.

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Pleaseee help me with this problem

Liula [17]

Answer:

Step-by-step explanation:

4 0

3 years ago

Samantha evaluates the expression -5.3 + 7.9 and gets an answer of 2.4

Sholpan [36]

Answer:

Step-by-step explanation:

To the evaluate -5.3+7.9

We get

2.6

Therefore the error

=2.6-2.4

=0.2

6 0

3 years ago

Read 2 more answers

Your company is considering submitting a bid on a major project. You determine that the expected completion time is 130 weeks an

Olenka [21]

Answer:

Option C) 146.5

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 130 weeks

Standard Deviation, σ = 10 weeks

We are given that the distribution of completion time is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.95

We have to find the value of x such that the probability is 0.95

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 130}{10})=0.95$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 130}{10} = 1.645\\x = 146.45 \approx 146.5$

The project should be completed in 146.5 weeks or less.

Hence, 146.5 weeks should be set the due date such that there is a 95 percent chance that the project will be finished by this time.

7 0

3 years ago

the first three terms of an arithmetic progression is (x + 1), (4 x - 2) and 6 x - 3 if the last term is 18 find the value of x

lbvjy [14]

Answer:

Step-by-step explanation:

Since it is AP, the common difference is same for any term:

(4x - 2) - (x + 1) = (6x - 3) - (4x - 2)
3x - 3 = 2x -1
3x - 2x = 3 - 1
x= 2

The first 3 terms are:

3, 6, 9

Since the last term is 18, it means this AP has 6 terms:

{3, 6, 9, 12, 15, 18}

Answer: as we need to find the value of x only, it is = 2

6 0

4 years ago

Give the equation of the line perpendicular to y +7= -2(x - 6) through the point (6,-3)

lilavasa [31]

Note: this answer assumes the equation of the line can be put in slope-intercept form.

Answer:

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

Step-by-step explanation:

1) First, find the slope of y + 7 = -2 (x - 6). We can see that it's already in point-slope form, or $y-y_1 = m (x-x_1)$ format. Remember that the number in place of the $m$ is the slope. Therefore, -2 is the slope of that equation.

What we need is the slope that is perpendicular to that, though. So, find the opposite reciprocal of -2. To do this, change its sign, convert it into a fraction ( $-\frac{2}{1}$ ), and flip its numerators and denominators. Therefore, the perpendicular slope would be $\frac{1}{2}$ .

2) Now that we have a slope and a point the line passes through, we can write an equation using the point-slope formula, $y-y_1 = m (x-x_1)$ . In order to write an equation, the $x_1$ , $y_1$ , and $m$ have to be substitute for with real values.

The $m$ represents the slope. We already calculated that in the last step, so put $\frac{1}{2}$ in place of the $m$ . The $x_1$ and $y_1$ represent the x and y values of a point the line passes through. We know that the line has to pass through (6, -3), so substitute 6 for $x_1$ and -3 for $y_1$ :

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

Therefore, (again, assuming that the line can be put in point-slope form) the answer is $y + 3 = \frac{1}{2}(x-6)$ .

5 0

3 years ago