Ask question

Ask question

All categories

4 years ago

11

If you knew the length of the opposite side and the adjacent, which formula would you use to determine the length of the hypoten

use

1 answer:

bixtya [17]4 years ago

6 0

Pythagoras
$\sqrt{ a^{2} + b^{2} } = c$
a and b are opposite and adjacent and c is hypotenuse.

You might be interested in

Can someone help me I don't get it

Rina8888 [55]

The answer is 63 degrees.

7 0

3 years ago

Read 2 more answers

3x + 1 − 4x3 + 6x6 −2x2 standard form

Molodets [167]

<span>6x6 - 4x3 - 2x2 + 3x + 1</span>

7 0

3 years ago

A sample size of n= 20 is a simple random sample selected from a normally distributed

Alina [70]

Answer: 2.093

Step-by-step explanation: just took it

7 0

2 years ago

The perimeter of GHJ

Dafna1 [17]

They have a scale factor of 5:6 so first we need to find the perimeter of KLM:
$11 + 14 + 17 = 42$
Then apply the scale factor of 5:6:
$\frac{5}{6} = \frac{x}{42}$
Set the denominators equal:
$\frac{35}{42} = \frac{x}{42}$
So we see that the perimeter of GHJ is 35.

6 0

4 years ago

Write an equation of the perpendicular bisector of the segment with the endpoints (8,10) and ( -4,2).

ale4655 [162]

Answer:

The required equation is:

$y = -\frac{3}{2}x+9$

Step-by-step explanation:

To find the equation of a line, the slope and y-intercept is required.

The slope can be found by finding the slope of given line segment. A the perpendicular bisector of a line is perpendicular to the given line, the product of their slopes will be -1 and it will pass through the mid-point of given line segment.

Given points are:

$(x_1,y_1) = (8,10)\\(x_2,y_2) = (-4,2)$

We will find the slope of given line segment first

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{2-10}{-4-8}\\=\frac{-8}{-12}\\=\frac{2}{3}$

Let m_1 be the slope of perpendicular bisector then,

$m.m_1 = -1\\\frac{2}{3}.m_1 = -1\\m_1 = \frac{-3}{2}$

Now the mid-point

$(x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\= (\frac{8-4}{2} , \frac{10+2}{2})\\=(\frac{4}{2}, \frac{12}{2})\\=(2,6)$

We have to find equation of a line with slope -3/2 passing through (2,6)

The equation of line in slope-intercept form is given by:

$y = m_1x+b$

Putting the value of slope

$y= -\frac{3}{2}x+b$

Putting the point (2,6) to find the y-intercept

$6 = -\frac{3}{2}(2)+b\\6 = -3+b\\b = 6+3 =9$

The equation is:

$y = -\frac{3}{2}x+9$

7 0

3 years ago