Answer:
9 : 25
Step-by-step explanation:
45 : 125 simplify =
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:
(-7,4]
Step-by-step explanation:
I'm going to assume that you need this in interval form
The domain is just asking for all the possible x values
The x value that's furthest to the left is -7 and because it's an open circle we write ( instead of [
the furthest to the right the line goes is 4 and because the circle is closed it's written with ]
but it all together and get
(-7,4]
To find this simply do 5!, or 5×4×3×2×1. That equals 120,
The given expression becomes undefined when y=5 or y = -3. The answer is option D.
Step-by-step explanation:
The value of the given expression becomes undefined when the denominator equals 0.
Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it .
Step 1
Equate the denominator to 0.
y^{2} - 2y -15 = 0
Step 2
Solve the above equation to get the value of y.
y^{2} - 2y -15 = 0
=> (y-5)(y+3) =0 [ Roots of the quadratic equation]
=> y = 5 or y = -3.
Hence when y = 5 or y = -3 the denominator becomes 0, which makes the expression (2y+7)/0 and hence it is undefined.
