Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:

So, the area of Each right triangular tile is:



There are 150 tiles in the mosaic. So, the area of the mosaic is:


Therefore, the total area of the mosaic is 2340 cm ².
Looks like your function is

Rewrite it as

Recall that for
, we have

If we replace
with
, we get

By the ratio test, the series converges if

Solving for
gives the interval of convergence,

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.
Answer:
10/3 hours
Explanation:
If Maria practices 5/6 hours a day, then she practices (5/6)(4) hours in 4 days.
(5/6)(4)=20/6
20/6 can be simplified to 10/3 hours.
I hope this helps!
Answer:
The total cost is $95.32.
Step-by-step explanation:
Given:
Total came to $76.75. There is an 8% sales tax and 15% tip.
Now, to find the total cost.
<em>8% sales tax is there so we calculate the amount after adding sales tax:</em>
$76.75 + 8% of $76.75




The cost after sales tax is $82.89.
Now, <em>the cost after 15% tip:</em>
$82.89 + 15% of $82.89




The cost after the tip is $95.32.
Therefore, the total cost is $95.32.
Answer:
A linear pair of angles is formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by two intersecting lines. The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.