it looks correct to me
ps. i hate savvas realize
Answer:
11.35 hrs
Step-by-step explanation:
13627.482 liters in 3600 gallons÷ by 20 to get how many minutes it would takeand then divide by 60 to reduce your answer into hours.
Answer:
3
Step-by-step explanation:
3
Answer:
Hypotenuse length is (√2)x if the leg lengths are x and x respectively.
Step-by-step explanation:
This is an isosceles right triangle. The two acute angles are 45 degrees each and the leg lengths can be represented by x. Applying the Pythagorean Theorem, we get x^2 + x^2 = h^2 (where h is the length of the hypotenuse), or
2x^2 = h^2.
Solve this for h. Taking the square root of both sides of this equation, we get:
(√2)x = h
Conclusion: if the two legs of this equilateral right triangle are x and x, respectively, the length of the hypotenuse is h = √2x.
Answer:
y ≈ 16.33
Step-by-step explanation:
∆SPQ is a 30-60-90 right triangle
PS:QS:PQ = 1:2:√3
QS/PQ = 2/√3
QS/PQ = QS/10
QS/10 = 2/√3 Multiply each side by 10
QS = 20/√3
∆RSQ is a 45-45-90 right triangle.
∴ RS = QS = 20/√3
RS² + QS² = QR²
(20/√3)² + (20/√3)² = y²
400/3 + 400/3 = y²
800/3 = y² Take the square root of each side
y = √(800/3)
= 20√(2/3)
= (20√6)/3
≈ 16.33
