26.8 or 26.8224 depends on what rounding they ask for
the answer is 203/16 or 12.6875
The length of the rectangle is defined by 
.
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a <em>third</em> <em>order</em> polynomial and width by a <em>first order</em> polynomial and, thus, length must be a <em>second order</em> polynomial.
By factor the polynomial we get the following roots:
Then, the length of the rectangle is defined by .
To learn more on rectangles, we kindly invite to check this verified question: brainly.com/question/10046743
Answer:
27, 38, and 51
Step-by-step explanation:
3, 6, 11, 18, ...
We increase the first number by 3. Then 5. Then 7.
The pattern is that the difference increases by 2.
That means this is a quadratic sequence.
y = x² + 2, where x = 1, 2, 3, etc.
The next three numbers are 27, 38, and 51.
Answer:
φ ≈ 1.19029 radians (≈ 68.2°)
Step-by-step explanation:
There are simple formulas for A and φ in this conversion, but it can be instructive to see how they are derived.
We want to compare ...
y(t) = Asin(ωt +φ)
to
y(t) = Psin(ωt) +Qcos(ωt)
Using trig identities to expand the first equation, we have ...
y(t) = Asin(ωt)cos(φ) +Acos(ωt)sin(φ)
Matching coefficients with the second equation, we have ...
P = Acos(φ)
Q = Asin(φ)
The ratio of these eliminates A and gives a relation for φ:
Q/P = sin(φ)/cos(φ)
Q/P = tan(φ)
φ = arctan(Q/P) . . . . taking quadrant into account
__
We can also use our equations for P and Q to find A:
P² +Q² = (Acos(φ))² +(Asin(φ))² = A²(cos(φ)² +sin(φ)²) = A²
A = √(P² +Q²)
_____
Here, we want φ.
φ = arctan(Q/P) = arctan(5/2)
φ ≈ 1.19029 . . . radians
