To determine if the lengths given create a right triangle you can set up equations. According to Pythagorean Theorem, the square of the longest side would equal the sum of the squares of the smallest 2 sides.
1st given set: 15 + 25 < 64
This CANNOT be a right triangle. The sum of the 2 smallest sides is less than the sum of the longest side.
2nd given set: 64 + 100 < 256
This CANNOT be a right triangle. Again, the sum of the 2 smallest sides is less than the sum of the longest side.
3rd given set: 3,4,5
This CAN be a right triangle. These 3 numbers are multiples of 7, and if you factored 7 out of them you are left with 3,4,5 which is a triple. Triples are combinations of numbers that are guaranteed to create right triangles. 3,4,5 is one of the most basic triples. Hope this helps!
Answer: Endorphins maybe...
Step-by-step explanation:
Endorphins make you feel happy so if you get caught up in conflict you may be able to find yourself being less angry then you would if you hadn’t exercised? Idk lol
Answer:
The first box is 8 and the second box is 96
Step-by-step explanation:
Hope this helps!
Expanded form is the way of writing numbers to see the mathematical value of each individual digit. So the expanded form of 8.478 is 8+0.4+0.07+0.008
Answer:
I. Amount = 5618 Rupees
II. Compound interest = 618 Rupees
Step-by-step explanation:
- Given the following data;
- Principal = 5000 Rupees
- Time = 2 years
- Interest rate = 6%
To find the compound interest;
Mathematically, compound interest is calculated using the formula;
A = P(1 + r)^t
Where;
- A is the future value.
- P is the principal or starting amount.
- r is annual interest rate.
- t is the number of years for the compound interest.
Substituting into the formula, we have;
A = 5000(1 + 0.06)^2
A = 5000(1.06)^2
A = 5000 * 1.1236
<em>A = 5618 Rupees</em>
Next, we would determine the compound interest using the formula;
C.I = A - P
C.I = 5618 - 5000
<em>Compound interest (C.I) = 618 Rupees</em>
