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Oliga [24]
3 years ago
12

Find the length of a leg

Mathematics
1 answer:
Alona [7]3 years ago
4 0
2 corners are both 45 degrees, meaning that they are both the same length.

For this we use the pythagorean theorem, but a bit modified:
a^2 + a^2 = c^2
2a^2 = 256

Solve for a:
a^2 = 128
a = 8 √2

One leg is equal to √128 or 8 √2.
You might be interested in
What is 15 of 250% percent of what number
german
Assuming the question is: '15 is 250% of what number'.

We can write an equation.

'is' indicates an equal sign

'of' indicates multiplication

'what number' indicates an unknown number we can call 'x'

So we have:

15 = 250% * x

or

15 = 2.5x

Divide 2.5 to both sides:

x = 6

4 0
3 years ago
the area of a rectangle is 162 square meters. if the length is 18 meters, what is the perimeter of the rectangle
grigory [225]

Answer:

The perimeter of the rectangle is 54 meters.

Step-by-step explanation:

In order to find the perimeter of the rectangle, which is the sum of all the sides, we need to know not only the length, but also the width.  The formula for area of a rectangle is A = length x width.  Setting up an equation to find width 'w', we get:  162 = 18 x w.  Using inverse operations, we divide both sides of the equation by 18 to get w = 9.  Since we now know that w = 9 and l = 18, we can find the perimeter using the following equation:  P = 2w + 2l or P= 2(9) + 2(18) or P=54 meters.  

4 0
4 years ago
A number decreased by 0.37 times the number is 12.6 Find that number.
Semenov [28]

Answer:

Answer below, however this question is worded weirdly

Step-by-step explanation:

x(x - 0.37 ) = 12.6

simplify the equation

x^2 - 0.37x = 12.6

x^2 - 0.37x - 12.6 = 0

3 0
3 years ago
Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.
motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0
4 years ago
Question is on the picture HELP
Svetlanka [38]
The length of XS is 9. 

We can get this because of the definition of a bisector. A bisector is something that cuts something else into two equal parts. So, if the something is 18 units long, then half of it would be 9 units. That's exactly what's happening in this problem, so that means that XS, like in our example problem, will be 9. 
6 0
3 years ago
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