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:
108 cm²
Step-by-step explanation:
the surface area is the sum of all individual shapes areas on the surface.
2 right-angled triangles
3 rectangles
area of a right-angled triangle is At = a×b/2
At = 4×3/2 = 6 cm²
we need it twice : 12 cm²
one rectangle (length×width) = 8×3 = 24 cm²
one rectangle = 8×4 = 32 in²
one rectangle = 8×5 = 40 cm²
total surface area
A = 12+24+32+40 = 108 cm²
an area is always a square unit (power of 2).
a volume is always a cubic unit (power of 3).
and a length is always a simple unit (power of 1).
The answer is choice D) Perpendicular from a point not on the line.
Subtract 2x from both sides.
3y = - 2x - 12
Divide every term by 3 to get the y-variable by itself.
y = - 2/3x - 4
Since the equation is not in slope-intercept form (y = mx + b), your y-intercept is just the number in the b slot. Y-intercept is - 4 or (0, - 4).
Now to find your x-intercept, plug in 0 where the y-variable is and solve for x.
0 = - 2/3x - 4
4 = - 2/3x
Multiply both sides by - 3/2 to isolate the variable.
4(- 3/2) = x
- 12/2 = x
- 6 = x.
Your x-intercept is - 6 or (- 6, 0).
Answer:
18.8495559215 m
Step-by-step explanation:
It is 6 times pi.
