The value of
that satisfies all the expressions of the system of linear equations is 20.
<h3 /><h3>Procedure - Determination of a variable associated to a pair of corresponding angles</h3>
According to the figure, angles 1 and 5 are <em>corresponding</em> angles between two <em>parallel</em> lines, therefore we have the following equivalence:
(1)
After some algebraic handling we find the value of
:


The value of
that satisfies all the expressions of the system of linear equations is 20.
<h3>Remarks</h3>
There is a missing figure for the statement, we proceed to include it below after some research.
To learn more on angles, we kindly invite to check this verified question: brainly.com/question/15767203
Answer:
I'm not sure of the answer choices but your answer would be 3.
Step-by-step explanation:
We know that 3 + 0.7 = 3.7, you can take this information and reverse it. 3.7 - 0.7 = 3.
Answer: 2(4p - 25q)
Explanation: 4p*2 = 8p - 25q*2 = 8p - 50q = 2(4p - 25q)
Answer:
- sin(4a) = -24/25
- cos(4a) = 7/25
Step-by-step explanation:
Your calculator can tell you these values:
sin(4a) = sin(4·arctan(3)) = -0.96 = -24/25
cos(4a) = cos(4·arctan(3)) = 0.28 = 7/25
_____
Some useful trig identities are ...
sin(2a) = 2tan(a)/(1 +tan(a)^2)
cos(2a) = (1 -tan(a)^2)/(1 +tan(a)^2)
Filling in the given value for tan(a), we find ...
sin(2a) = 2(3)/(1+3^2) = 6/10 = 3/5
cos(2a) = (1 -3^2)/(1 +3^2) = -8/10 = -4/5
Now, double-angle formulas are useful:
sin(4a) = 2sin(2a)cos(2a) = 2(3/5)(-4/5) = -24/25
cos(4a) = 1 -2sin(2a)^2 = 1 -2(3/5)^2 = 7/25
The desired trig function values are sin(4a) = -24/25; cos(4a) = 7/25.
Answer:
Maximum value is y=24 when x=20
Step-by-step explanation:
The maximum value of the downward parabola is its vertex. Since the vertex is (20,24) then the maximum value is y=24 when x=20