Answer:
1/3
Step-by-step explanation:
6 of 18 = 6/18
Divide by 6, the GCF of the two numbers 6 and 18, to get 1/3.
6 is 1/3 of 18.
It will take 250 seconds for it to reach the bottom. To find this I did 17.5 divided by .07.
The measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
<h3>How to determine the value of sin and cosine?</h3>
The tangent of the angle is given as:
tan(x) = -5/4
The hypotenuse is calculated as:
Hypotenuse = sqrt([(-5)^2 + (4)^2)
Evaluate the squares
Hypotenuse = ±√41
Given that sin(x) < 0, then
Hypotenuse = √41
The sin is calculated as:
sin(x) = -5/Hypotenuse
So, we have:
sin(x) = -5/√41
The cos is calculated as:
cos(x) = 4/Hypotenuse
So, we have:
cos(x) = 4/√41
The values of the reciprocal ratios are
sec(x) = √41/4
csc(x) = -√41/5
cot(x) = -4/5
Hence, the measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
Read more about trigonometry ratio at:
brainly.com/question/24349828
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<span>The value of y when x=3 when the value of y varies directly with x^2, and y = 150 when x = 5 is 54. Since the value of y varies directly with x2, then: y = k * x^2, where k is constant. When y = 150 and x = 5, the value of constant is: 150 = k * 5^2. 150 = k * 25. k = 150/25. k = 6. Thus, when x = 3, the value of y will be: y = 6 * 3^2. y = 6 * 9. y = 54.</span>
Answer:
a. The graph has a constant of variation of 3, so it represents a direct variation.
Step-by-step explanation:
We have been given a graph and we are asked to find whether our given graph represents direct variation or not.
Since we know that a direct variation is an equation in slope-intercept form, which passes through origin (0,0) and constant of variation equals to the slope of the line.
Direct variation equation is in form: , where k= constant of variation.
Slope intercept equation of line is in form: , where m= slope and b= y-intercept.
Let us find equation of our given line in slope-intercept form.
We can see from our given graph that our line passes through the origin, so y-intercept (b) equals zero.
Let us find slope of our given line.
Upon substituting m=3 and b=0 in slope intercept form of equation we will get: . Upon comparing our line with direct variation equation we can see that k=3, therefore, option a is the correct choice.