They are similar by number. But they are not perpendicular. 3x+4y=12 gives you a negative slope. But 4x-3y gives you a positive slope. So they would be crossing each other if put together. This means that Sadia is correct and Henri isn’t. Show all work: 4x-3y=12
4x-3y+3y=12+3y
4x=3y+12
4x/4=3y+12/4
X=3/4y+3
3x+4y=12
3x+4y+-4y=12+-4y
3x=-4y+12
3x/3=-4y+12/3
X=-4/3y+4
Answer:
x is approximately 226.3 feet
y is approximately 308.6 feet
z is approximately 226.3 feet
Step-by-step explanation:
The given parameters of the walls are;
The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°
From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°
The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet
x = The height of the shorter wall = l × sin(θ₂)
∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet
∴ x ≈ 226.3 feet
By observation, we have;
y = x + z × tan(θ₁)
Where;
z = l × cos(θ₂)
∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6
y ≈ 308.6 feet
z = l × cos(θ₂)
∴ z = 320 × cos(45°) = 160·√2 ≈ 226.3
z ≈ 226.3 feet.
Answer:
x = 9.6
Step-by-step explanation:
If you're describing a time, then it has to have a unit of time. We have no idea how much gas you're talking about, so second, minute, and hour are all possibilities.
The area of a triangle formal is base times height divided by 2. So 9x 12 which equals 108 then you divide that by 2 which equals 54 and the unit is cm^2
