<u>Q1: Given sin(x+22)° = cos(2x−7)°
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Using the concept of Right triangles and Trigonometric ratios, we can use a formula given as follows :-
If, sin(A) = cos(B). Then we must have A + B = 90 degrees.
We have sin(x+22)° = cos(2x−7)°
Then it must be true that (x+22)° + (2x−7)° = 90 degrees.
(x + 22) + (2x - 7) = 90
3x + 15 = 90
3x + 15 - 15 = 90 - 15
3x = 75
Hence, x = 25 degrees is the final answer.
<u>Q2: Given cos(x) = 1213 and sin(x) = 513. </u>
It says to find ratio of tan(x).
Using the concepts of Trigonometric ratios, We can the formula that relates all three functions i.e. sin(x), cos(x), and tan(x).
tan(x) =
We can plug the given values in the formula.
is the final answer.
Answer:
The parenthesis means to multiply the numbers. I don't understand any of these either but I hope this helps.
Step-by-step explanation:
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:
Where:
m: Is the slope
b: Is the cut-off point with the y axis
According to the data of the statement we have to:
Then, the equation is of the form:
We substitute the pointand find "b":
Finally, the equation is:
To graph we place the points and on the coordinate axis and join the points by a line.
ANswer:
The graphic is attached.
Answer:
8 mangoes
Step-by-step explanation:
1) lets create 2 systems of inequalities
where m=# of mangoes
p=# of peaches
so m+p≥15 and 1m+0.5p≤15
lets substitute "13" in the m+p inequality to see how many mangoes dylan can buy:
m+(13)≥15
subtract "13" from both sides:
m≥2
now we substitute "13" in the other inequality:
m+0.5(13)≤15
m+6.5≤15
subtract 6.5 from both sides:
m≤8.5
m≥2 and m≤8.5
seeing our restriction, we can buy 8 mangoes (since we can't have 1/2 a mango)
hope this helps!
134.84 percent.
Just divide 384 by the other number