Answer:
discount = 290 × <u>1</u>
4
= 72.50
new price is
290.00
<u>72.50</u> -
217.50
Step-by-step explanation:
x - 12 < 15
x < 15 + 12
x < 27
For x < 27 , i will add a number smaller than 27.
x = {26,25,24,23, etc}
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
![x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61](https://tex.z-dn.net/?f=x%5E2%20%3D%20y%5E2%20%2B%20z%5E2%5C%5Cx%5E2%20%3D%202%5E2%20%2B%203%5E2%5C%5Cx%5E2%20%3D%204%20%2B%209%20%5C%5Cx%5E2%20%3D%2013%5C%5Cx%20%3D%20%5Csqrt%7B13%7D%20%5C%5Cx%20%3D%203.61)
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
![d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00](https://tex.z-dn.net/?f=d%5E2%20%3D%206%5E2%20%2B%203.61%5E2%5C%5Cd%5E2%20%3D%2036%20%2B%2013.0321%5C%5Cd%5E2%20%3D%2049.0321%5C%5Cd%20%3D%20%5Csqrt%7B49.0321%7D%20%5C%5Cd%20%3D%207.00)
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
brainly.com/question/231802
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I'm really bad at math so can you help me with that
If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
Learn more about mean here
brainly.com/question/1136789
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