Answer:
x = 24
Step-by-step explanation:
The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion.

Cross multiply to solve for x.
56(x+4) = 44.8(35)
56x + 224 = 1,568
56x = 1,344
x= 24
Answer:
Infinite series equals 4/5
Step-by-step explanation:
Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one:
is a geometric sequence of first term (
) "1" and common ratio (r) "
", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by: 
The second one:
is a geometric sequence of first term "1", and common ratio (r) "
". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum= 
Answer:
9.36
Step-by-step explanation:
Do you have a picture of the problem
Answer: The area that it covers is 78.53 square meters
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Area of a circle (A): π r²
Where:
r = radius (in our case is 5 meters)
So, replacing with the values given:
A= π (5)² = π 25 =78.53 square meters
In conclusion, the area that it covers is 78.53 square meters
Feel free to ask for more if needed or if you did not understand something.