Check the picture.
Consider the triangle DAB, with |DA|=9 ft, |AB|=23 ft and m(DAB)=80°.
To find the length of the diagonal, |DB|, we use the cosine law:
Thus, |DB|=
(ft)
Answer: 24.6 ft
Answer:
Domain: real numbers
Range: 0 < f(x) < ∞
y-intercept: 1
Asymptote: A horizontal asymptote of y = 0
To determine the centroid, we use the equations:
x⁻ =
1/A (∫ (x dA))
y⁻ = 1/A (∫ (y dA))
First, we evaluate the value of A and dA as follows:
A = ∫dA
A = ∫ydx
A = ∫3x^2 dx
A = 3x^3 / 3 from 0 to 4
A = x^3 from 0 to 4
A = 64
We use the equations for the centroid,
x⁻ = 1/A (∫ (x dA))
x⁻ = 1/64 (∫ (x (3x^2 dx)))
x⁻ = 1/64 (∫ (3x^3 dx)
x⁻ = 1/64 (3 x^4 / 4) from 0 to 4
x⁻ = 1/64 (192) = 3
y⁻ = 1/A (∫ (y dA))
y⁻ = 1/64 (∫ (3x^2 (3x^2 dx)))
y⁻ = 1/64 (∫ (9x^4 dx)
y⁻ = 1/64 (9x^5 / 5) from 0 to 4
y⁻ = 1/64 (9216/5) = 144/5
The centroid of the curve is found at (3, 144/5).
Answer:
Based on this screenshot, this is a Test. Do the test no your own, and if you're unsure what the answer is you can come back to it later or just pick random. If you get it correct or incorrect most tests like this will change their difficulty level to see what types of problems you can and cannot answer. This is so your teacher can see what you know about math and what you may need help learning about.
Step-by-step explanation:
Answer:
the unit rate for the $100 option is 12.50
Step-by-step explanation:
100÷8=12.5 which is 12.50
