Answer:
use a graph paper to find the answers
Answer: Choice D) sin(x)/cos(y) = 1---------------------------------------------
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Label the sides as shown in the image attachment.
P = horizontal leg (opposite of angle x; adajcent to angle y)
Q = vertical leg (opposite of angle y; adajcent to angle x)
R = hypotenuse (longest side; always opposite the 90 degree angle)
Use the definitions of sine and cosine to say...
sin(Angle) = opposite/hypotenuse
sin(x) = P/R
and
cos(angle) = adjacent/hypotenuse
cos(y) = P/R
Notice how sin(x) = cos(y). This is true any time x+y = 90 which is the case here (x and y are complementary angles). A more specific example is sin(30) = cos(60) which are both equal to 1/2 or 0.5
Since sin(x) = cos(y), this means sin(x)/cos(y) = 1 as any expression divided by itself is equal to 1. Keep in mind that cos(y) cannot equal zero.
This is why
choice D is the final answer.
side note: something like cos(x)/sin(y) or sin(y)/cos(x) or similar are all equal to 1 as long as x+y = 90
Answer:
3,705.692
Three thousand seven hundred and five thoudand six hundred and ninety two thousandths.
3 thousands, 7 hundreds, 5 ones, 6 tenths, 9 hundredths, 2 thousandths
Step-by-step explanation:
Simple math.
Answer:
A) −3(x3+2x−1)
Step-by-step explanation:
Factor 3-3x^3-6x to get −3(x3+2x−1)
Answer:
The ordered pair is one of the solution to the system of equations. See below.
Step-by-step explanation:
To tell if the ordered pair is the solution to the system of equations or not, we can do by substituting the ordered pair in both equations.
(x, y) = (5,-6)
Substitute x = 5 and y = -6 in both equations.
<u>First</u><u> </u><u>Equation</u>
6x+3y=12
6(5)+3(-6)=12
30-18=12
12=12
<u>Second</u><u> </u><u>Equation</u>
4x+y=14
4(5)-6=14
20-6=14
14=14
Because both equations have same sides which mean that both equations are true for (5,-6). Therefore (5,-6) is part of the equations.