Answer:
10
Step-by-step explanation:
bh/2
b=5
h=4
=5×4/2
=20/2
=10
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
3√27
= 9√3
I hope that's help and sorry for the late answer ^..^
Step-by-step explanation:
step 1. an example of difference of squares (dos) is (x + y)(x - y) = x^2 - y^2.
step 2. dos must have only 2 square rootable terms and a "-" between them.
step 3. 196x^2 - 121y^2 = (14x + 11y)(14x - 11y) works!
step 4. 5x^2 - 245 = 5(x^2 - 49) = 5(x + 7)(x - 7) works!
step 5. 27w^5 - 75w = 3w(9w^4 - 25) = 3w(3w^2 + 5)(3w^2 - 5) works!
step 6. x^4 - 100y^2 = (x^2 - 10y)(x^2 + 10y) works!
