The error is in <em>Step-4</em>.
A negative exponent does NOT mean that the number turns negative. A negative exponent means the number is in the denominator.
(4)⁻⁴ means (1/4⁴) . That's (1/256) . All positive numbers.
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.
1) All students in each grade 2)All students in each grade
Answer:
77 C
Step-by-step explanation:
To find the mean add all the numbers together then divide by the total amount of numbers
Answer:
3 and 10
Step-by-step explanation:
3 plus 10 equals 13
3 times 10 equals 30