4 miles per hour would be the answer
Answer:
Step-by-step explanation:
Answer:
identify is verified, see work below.
Step-by-step explanation:
Verify following identity
2gh/sin^2θ = 2gh sec^2θ/sec^2θ-1
use identity 1+tan^2(θ) = sec^2(θ) on denominator of right-hand-side
right-hand side
= 2gh sec^2(θ) / (sec^2(θ)-1)
= 2gh sec^2(θ) / (tan^2(θ))
= 2gh sec^2(θ) * (cos^2(θ) / sin^2(θ) ) [note: sec^2(θ) = 1/cos^2(θ)]
= 2gh * 1 / sin^2(θ)
= 2gh / sin^2(θ)
= left-hand side
Therefore identify is verified.
Answer:
(x ,y)= (1/3, -4/3)
Step-by-step explanation:
simplify
y = -4x
x + 2y + 1 = -4x
multiply both sides
4x + y = 0
5 x + 2y = -1
eliminate one variable
-8x - 2y = 0
5x + 2y = -1
divide
-3x = -1
x = 1/3
possible solution
y= -4/3
check the solution
(x, y) = (1/3, -4/3)
simplify
-4/3 = 1/3 + 2 x (-4/3) + 1 = -4 x 1/3
place in order
-4/3 = -4/3 = -4/3
Let becky's Height be a
Mother's Height = 3a
According to question,
3a = 189
=> a = 63
Becky's Height = 63 cm