Step-by-step explanation:
Relationship is a ver beautiful friend one answer
Answer/Step-by-step explanation:
Total Distance = 3Ft
a) Determine the amplitude and period of a sinusoidal function that models the bobbing buoy.
Amplitude = 3/2 = 1.5 period = 10 second
No ph. Shift
b) Write an equation of a function that models the buoy with x=0 at its highest point.
y= 1.5 cos ( 
)
Answer is 6-4x
<span>1/4 evaluates to 1/4
</span>
<span>Multiply x and 16
</span>
<span>Multiply x and 1
after you have the answer it should come out to </span>24-16x then multiply 1/4 * 24-16x
1/4 *24=6
<span>1/4*(24-16*x) evaluates to 6-4x</span>
Answer:
14x - 8 = 22 + 20x
x = -5
Step-by-step explanation:
Let "the number" be represented by x
Take each part of the statement and translate into algebraic form
"14 times a number" 14x
"decreased By eight" -8
"is" =
"22 Increased by" 22 +
"20 times The same number" 20x
Put the equation together. Solve for x by isolating.
(
14x - 8 = 22 + 20x
14x - 8 - 20x = 22 + 20x - 20x Subtract 20x from both sides
-6x - 8 = 22
-6x - 8 + 8 = 22 + 8 Add 8 to both sides
-6x = 30
-6x ÷ -6 = 30 ÷ -6 Divide both sides by -6
x = -5
Using right triangle relations, we will get:
- tan(B) = 1.05
- sin(B) = 0.735
- cos(B) = 0.7
<h3>
How to find the value of the trigonometric equations?</h3>
We assume that bot triangles are equivalent, then the angle B will be the same as the angle Z.
Now remember the relations:
- tan(θ) = (opposite cathetus)/(adjacent cathetus).
- sin(θ) = (opposite cathetus)/(hypotenuse)
- cos(θ) = (adjacent cathetus)/(hypotenuse).
If we step on angle B, we have:
- opposite cathetus = 29.4
- adjacent cathetus = 28
- hypotenuse = 40.6
Replacing that, we get:
- tan(B) = 29.4/28 = 1.05
- sin(B) = 29.4/40.6 = 0.735
- cos(B) = 28/40.6 = 0.7
If you want to learn more about trigonometric functions:
brainly.com/question/8120556
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