The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width
Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!
Note the equal sign. What you do to one side, you do to the other.
Isolate the variable. Divide 4 from both sides
(-52)/4 = (4m)/4
m = -52/4
m = -13
-13 is your answer for m
hope this helps
The question is incomplete. Here is the complete question
It was estimated that because of people switching to Metro trains about 33000 of CNG 3300 tons of diesel and 21000 tons of petrol was saved by the end of year 2007 (I) find a fraction of the quantity of diesel saved to the quantity of petrol saved (ii) find the quantity of cng to the quantity of diesel saved
Answer:
(I) 11/70
(II) 1/10
Step-by-step explanation:
Metro trains contain 330,000 tons of CNG
3300 tons of diesel was saved
21000 tons of petrol was saved at the end of 2007
(I) The fraction of the quantity of diesel saved to the quantity of petrol saved can be calculated as follows
= 3300/21000
= 11/70
(II) The fraction of the quantity of CNG saved to the quantity of diesel can be calculated as follows
= 3300/33000
= 1/10
Answer:
I am not smart enough for that one
Step-by-step explanation:
because I am just built the same as you all
