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:
19/2 = 9.5. This is the speed she can ride in a single hour. At that speed, she would travel 9.5/3 miles in 1/3 of an hour. 9.5/3 = 3.1666666666666667
Step-by-step explanation:
Answer:
Jesse needs to work 43 hours in the month to make $400 and $60
work for answer: 9.50 x 43 = 408.5
example why it can't be lower or higher than 43 hours 9.50 x 42 = 399 or 9.50 x 44 = 418
Answer:
No, it is not a statement
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.
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What are critical Values?</h3>
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.
The value of α can be written as,
α = 1 - 0.81 = 0.19
Now, using the z-table the value of z will be,
z = 1.31
Hence, the required critical value is 1.31.
Learn more about Critical Values:
brainly.com/question/14508634
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