Answer:
5.59 times per second.
Step-by-step explanation:
Direct variation is in the form:
Where <em>k</em> is the constant of variation.
Inverse variation is in the form:
In the given problem, the frequency of a vibrating guitar string varies inversely as its length. In other words, using <em>f</em> for frequency and <em>l</em> for length:
We can solve for the constant of variation. We know that the frequency <em>f</em> is 4.3 when the length is 0.65 meters long. Thus:
Solve for <em>k: </em>
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So, our equation becomes:
Then when the length is 0.5 meters, the frequency will be:
Answer:
55
Step-by-step explanation:
here's the working out i did
Answer:
24
Step-by-step explanation:
Line segment ON is perpendicular to line segment ML. Line segment OM = 13 units in length, line segment PN = 8 units in length.
Circle O is shown. Line segments M O, N O, and L O are radii. Lines are drawn to connects points M and N and points N and L to form chords. A line is drawn from point M to point L and intersects line O N at point P. The length of O M is 13 and the length of P N is 8. Angle O P L is a right angle.
Area= Length x width
So....
Length= Area divided by width.
Plug in equation
20 divided by 5= L
L= 4
Answer is 4 cm
Answer:
1020 students
Step-by-step explanation:
Given the trend line equation :
y = 0.1x + 18,
where y is the total number of staff members and x is the total number of students.
Using the equation, the predicted number of students in a school with 120 staffs ;
y = 120
y = 0.1x + 18
120 = 0.1x + 18
120 - 18 = 0.1x
102 = 0.1x
x = 102 / 0.1
= 1020 students
