The answer is 18, work shown in image attached
The length of diagonal is 150 meters
<em><u>Solution:</u></em>
Given that soccer field is 90 meters wide and 120 meters long
The coach asked the players to run from corner to corner diagonally across
To find: length of diagonal
The figure is attached below
Let ABCD be a rectangle with BD as diagonal
From given,
length = DC = 120 meters
width = BC = 90 meters
The diagonal and two sides of rectangle forms a right angled triangle with diagonal as hypotenuse
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
By above definition, for right angled triangle DCB


Taking square root on both sides,

Thus length of diagonal is 150 meters
Answer:
Step-by-step explanation:
how many coins: d + q = 200
value of the money .10d + .25q = 44
(ten cents for each dime and 25 cents for each quarter)
Now to solve by elimination:
1)multiply the first row by -10 so that the dimes will cancel out.
-.10d + -.10 q = 20 (don't do anything to second row)
.10d + .25q = 44
2) now add those up.
the dimes cancel out.
.15 q = 64
that does not divide evenly so there is something wrong with this problem.
Answer:
10(32 - n)
Step-by-step explanation:
This is a beginning algebra question. It is trying to find out if you know what a difference is.
A difference always means subtract in math. Always. There are no exceptions.
So the difference between 32 and n is 32 - n
This difference is multiplied by 10
10(32 - n)
Usually the number mentioned first is the number put to the left of the subtract sign.
If you tell me the answer is 10(n - 32) then you should say that it is the difference between n and 32.