<u>Q1: Given sin(x+22)° = cos(2x−7)°
</u>
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:
x=3
Step-by-step explanation:
3(2x+5)=4x+21
6x+15=4x+21
-4x -4x
2x+15= 21
-15 -15
2x=6
2 2
<h2>x=3 Hope that helped!!!!</h2>
Answer:
8 nickels
Step-by-step explanation:
Total Amount of Money owned by Jason=$10
1 nickel =$0.05
1 dime=$0.10
1 quarter =$0.25
- Let the number of dimes =d
- Let the number of nickels =n
- Let the number of quarters =q
If there were twice as many dimes as Nickels, then:
Also, there were twice as many quarters as dimes.
Therefore:
0.1d+0.05n+0.25q=100
Substituting d=2n and q=2d into the above relations
0.1(2n)+0.05n+0.25(2d)=10
0.2n+0.05n+0.25(2(2n))=10
0.2n+0.05n+1n=10
1.25n=10
n=8
q=2d=2X16=32
d=2n=2X8=16
Jason had 8 nickels
Answer:
13) x=n-11
15) x=3*10
Step-by-step explanation:
I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!
Isolate the x. Note the equal sign. What you do to one side, you do to the other.
Cross multiply
(4/9)(9)(36) = (x/36)(36)(9)
(4)(36) = (x)(9)
Simplify
144 = 9x
Isolate the x. Divide 9 from both sides
144/9 = 9x/9
x = 144/9
x = 16
16 is your answer
hope this helps
