Answer:
A
Step-by-step explanation:
given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
7 - 5 < x < 7 + 5
2 < x < 12
Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
The answer is 4.
8/x +13 = y --------> y * 2 = 30
divide 2 on both sides so y = 15
8/x + 13 = 15
- 13 - 13
8/x = 2
x =4
The cosine of angle X is

By the Pythagorean theorem, we have

Then

Multiplying numerator and denominator by 2, we get
.