Answer:
B
Step-by-step explanation:
Apply the Pythagorean Theorem to determine whether or not the given triplets represent right triangles or not:
I. 5 feet and 13 feet: 5^2 + 12^2 = 13^2 is TRUE
II. 9 ft and √63 ft: 9^2, 63, 12^2: 63 + 81 do add up to 144 TRUE
III. 2, 10, 12^2: 2 + 10 do NOT add up to 144. FALSE
Answer B is correct
Answer:
1800
Step-by-step explanation:
→ First of all we need to find the prime factorisation of the numbers.
18 = 2 × 3 × 3 or 2 × 3²
40 = 2 × 2 × 2 × 5 or 2³ × 5
75 = 3 × 5 × 5 or 5² × 3
→ Now find the number that appear twice or more and write them down
3 and 3 from 18
2, 2 and 2 from 40
5 and 5 from 75
→ Now multiply all of these numbers together
3 × 3 × 2 × 2 × 2 × 5 × 5 = 3² × 2³ × 5² = 1800
Answer:
A.
Step-by-step explanation:
Step 1: Write equation
x² - 8x = 3
Step 2: Solve for <em>x</em>
- Complete the Square: x² - 8x + 16 = 3 + 16
- Factor: (x - 4)² = 19
- Square root both sides: x - 4 = ±√19
- Add 4 to both sides: x = 4 ± √19
Answer:
7
Step-by-step explanation:
Answer:
4 sqrt(3) cm
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
48 = s^2
Take the square root of each side
sqrt(48) = sqrt(s)
sqrt(16*3) = s
4 sqrt(3) =s
