Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
Answer:
B
Step-by-step explanation:
Step 1: Divide both sides by 4.
4x/4 = 32/4
4x/4 leaves you with x by itself, and 32/4 is 8. So x = 8
Answer:
Step-by-step explanation:
Let's break it down:
In the sinusoidal function 
:
represents Amplitude 
represents a constant related to the Period
represents Phase Shift 
represents Vertical Shift
To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find , use 
, where 
is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is 
and therefore
.
To find Phase Shift, find the horizontal shift from the parent function 
. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function . In this case, vertical shift is -1.
Thus, we've found:
Substituting these values into , we get:
