Answer:
Step-by-step explanation:
Let x is the length of the square side.
We know: the two figures have the same area
<=> 
= π
(r being radius)
<=> x = 
r
perimeter square = 4x = 4*r*
perimeter circle = 2*r*π
<=> 390 = 4*r* + 2*r*π
<=> r = 29.16
=> perimeter square = 4*29.16*π
=> perimeter circle = 58.32π
Answer:
X = 60° (corresponding angles are equal )
First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
Extremely large and small numbers that have many zeros are long to write and take up a lot of room. So, by using scientific notation a number can be written shorter. For example, numbers such as 295,000,000,000 can be shortened to 2.95x
. This is easier to write and understand. This is why the scientific notation is used over standard.
