<h3>
Answer:</h3>
D. hypotenuse/opposite
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you that ...
Sin = Opposite/Hypotenuse
You know that
csc = 1/sin
so
csc = 1/(opposite/hypotenuse) = hypotenuse/opposite . . . . matches D
Step-by-step explanation:
3x+2x+10+2x+5+2x-15 = 360
9x+15-15=360
9x=360
x=40.
- 3x=3×40=120°
- 2x+5=2×40+5=80+5=85°
- 2x+10=2×40+10=80+10=90°
- 2x-15=2×40-15=80-15=65°.
hope this helps you.
This seems an exponential function.
Once you state that the function is exponential you can write is this form:
f(x) = A * b^x.
Then you need the y-intercept (i.e. x = 0) to find A
f(0) = A * b^0 = A
Once you have A, you can use the ordered pair (3,1) to find b
f(1) = A*b^2 = A*b = 3 => b = 3/A.
With that procedure you can find the function that represents the given graph.
Suppse the y-intercep is 0.1
Then f(0) = A = 0.1
And b = 3 / A = 3/0.1 = 30
And the function is f(x) = 0.1* 30^x
To solve for x first move all the x to one side and the numbers to the other side.
-2x+3=-4/9x-1
Add 1 to both sides
-2x+4=-4/9x
Add -2x to both sides
4=-4/9x+2x
Get common denominators to combine the x
4=-4/9x+18/9x
4=14/9x
Multiply by 9 and divide by 14 to both sides.
4*9/14=x
36/14=x 18/7=x
