Pythagorean theorem is a^2 + b^2 = c^2. the hypotenuse is always the longest, so lets plug in the values.
a^2 + 12^2 = 20^2
if we simplify, we get a^2 + 144 = 400
then subtract 400-144 = 256
then find the sq. root of 256 = 16.
the answer is 16 feet
Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line
Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed
Hey there!
Here are the steps involved in answering this question:
1. Write 12 out of 32 as a fraction which is
2. Turn the fraction into a decimal. To do this, divide the numerator by the denominator. The numerator is the top part of the fraction while the denominator is the bottom part of the fraction.

= 0.375
3.<span> You get 0.375. Now, turn this into a percent. Move the decimal, 2 places to the right or just multiply the decimal by 100.</span>
0.375 = 37.5%
The final answer is 37.5%.
<span>(If you feel that my answer has helped you, please consider rating it and giving it a thank you! Also, feel free to make the best answer, the brainliest answer!)
</span>
Thank you! :D
Answer: y>-2/6+2
Step-by-step explanation:
We know it's greater then so we just need to find the line. Let's look at the Slope, since 0,2 is greater than -6,4 we start there. The y of 0,2 is 2 so we subtract 4 from 2 which is -2 and now we subtract -6 from 0 which is 6 so now we have -2/6 and the intercept is 2 so we now have y=mx+b which is the line in black: y=-2/6+2. But it is greater than so its y>-2/6+2
Let's say x = full price tickets
Let's say y = student tickets
We can write two equations:
From "585 tickets were sold" we can make the equation:
x + y = 585
And from "Full-price ticket is $2.50 and student ticket is $1.75 and total receipts is $1,217.25"...we can make the equation:
2.50x + 1.75y = 1,217.25
So now we can use substitution to find our answer...since we only have to find how many student tickets...we will solve the first equation for x so we can plug that into the 2nd equation to solve for y.
x + y = 585
x + y - y = 585 - y
x = 585 - y
Now we plug that into our 2nd equation: 2.50 (585 - y) + 1.75y = 1217.25
Distribute your 2.50
1462.5 - 2.50y + 1.75y = 1217.25
Add the y's: 1462.5 - 0.75y = 1217.25
Subtract 1462.5 from both sides:
1462.5 - 0.75y - 1462.5= 1217.25 - 1462.5
-0.75y = -245.25
Divide both sides by -0.75:
y = -245.25/-0.75
y = 327
There were 327 student tickets :)