Answer:
The Sum of the areas of theses triangles is 169/3.
Step-by-step explanation:
Consider the provided information.
The hypotenuse of an isosceles right triangle is 13 inches.
Therefore,

Then the area of isosceles right triangle will be: 
Therefore the area is: 
It is given that sum of the area of these triangles if this process is continued infinitely.
We can find the sum of the area using infinite geometric series formula.

Substitute
in above formula.



Hence, the Sum of the areas of theses triangles is 169/3.
The answer is 48 feet (D).
Explanation:
To solve this, you must think of the monument and its shadow and Adam and his shadow as a triangle, the person/object being the vertical leg, the shadows being the horizontal leg, and a line connecting them being the hypotenuse. Also, we can assume that these triangles are similar. First, we can set the scale to be 40/5 (the two shadows set a scale because the triangles are similar). Then, we can put x/6 (the actual things are similar, and the scale was established to be building/measurement). Next, we can set the two fractions equal to each other (40/5 = x/6) and solve. We can cross multiply to get 5x = 40 * 6. That goes to 5x = 240. Finally, we can divide by five on each side to get x = 48 feet (D).
Answer:
$125,800
Step-by-step explanation:
Amount (A) = ?
Principal (P) = $85,000
Rate (r) = 6%
Time (t) = 8 years
Simple interest formula;
A = P(1 + rt)
A = $85,000(1 + 0.48)
A = $125,800
Answer:
B. 6.2
Step-by-step explanation:
