Answer:
13
Step-by-step explanation:
Use the Pythagorean theorem:
- a^2 + b^2 = c^2
- 5^2 + 12^2 = c^2
- 25 + 144 = c^2
- c^2 = 169
- 13
Note: This also happens to be a Pythagorean triple where all three numbers are integers. These can be memorized.
Answer:
x = <u>3</u><u>b</u>
2c
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
Answer:
C is the answer
Step-by-step explanation:
Answer:
14, 15, 16
Step-by-step explanation:
Let integers equal:
x, x + 1, x + 2
2x = 12 + (x + 2)
2x = 12 + x + 2
2x = 14 + x
2x - x = 14
x = 14
x = 14
x + 1 = 14 + 1 = 15
x + 2 = 14 + 2 = 16
