We have that
If you draw a diagram, and draw perpendiculars from the intersection to the sides of the rectangle, you will see they are the mid point of each side.
see the attached figure
<span>If the mid point of the smaller side is ---------> x.
The mid point of the larger side will be -----------> (x + 4) </span>
The full length if the smaller side will be 2x and the length of the larger side will be 2(x + 4) = 2x + 8
The perimeter = 2 times the length + 2 times the width.
2(2x + 8) + 4x = 56
4x + 16 + 4x = 56
8x = 40
x = 5
Therefore
length = 2x + 8 = 18cm
<span>width = 2x = 10cm
</span>
the answer is
<span>the lengths of the sides of the rectangle are
</span>
length = 18cm width = 10cm
Answer:
None of these
Step-by-step explanation:
math math math
Answer:
c) (x+1)²+(y-3)²=25
Step-by-step explanation:
This is a simple

Pythagorean Theorem problem.
So here we go:
Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.
We are trying to find the hypotenuse which is C in our Pythagorean Theorem.
Thus:

Add the squares:

Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).

Thus:
The percentage of change in stock value is 0.93%
<u>Solution:</u>
Given that, The price of a technology stock has dropped to $9.54 today
Yesterday’s price was $9.63
We have to find the percentage decrease by Round the answer to the nearest tenth of a percent.
<em><u>The percentage change is given as:</u></em>

By substituting the values we get,


Changed percentage = 0.93457
Hence, the percentage of change in stock value is 0.93%