Answer:
2.884499
Step-by-step explanation:
It looks like the first and the third are diagrams of similar triangles, and the third needs another right angle marker at E to be persuasive. So I'll go with
First diagram
We're given a congruent angle pair and we have another from vertical angles, so AA, similar triangles.
Solve the equation for y using the formula for slope: y + mx + b
2x^2 + 5y^2 = 14
5y^2 = -2x^2 + 14
y^2 = -2/5x^2 + 14/5
y = the sq root of -2x^2/5 + 14/5
There is no integer solution to the square root of a negative number.
Answer:
2sin(3θ) - √3 = 0
Step-by-step explanation:
sin(3θ) = √3/2
3θ = π/3 + 2kπ or 2π/3 + 2kπ, k = 0, ±1, ±2, ±3,...
θ = π/9 + 2kπ/3, 2π/9 + 2kπ/3
If k = 0, we get θ = π/9, 2π/9
If k = 1, we get θ = 7π/9, 8π/9
If k = 2, we get θ = 13π/9, 14π/9
Other values of k give values of θ lying outside of the interval [0, 2π).
Answer:
48∛9 ft²
Step-by-step explanation:
Data
The area of the rectangular region is computed as follows:
area = length * width
area = 4 ∛24 * 6 ∛3
area = 4*6* ∛(24*3)
area = 24 * ∛(2³*3*3)
area = 24 * 2∛9
area = 48∛9 ft²