Yards and feet are related because there are 3 ft. in a yd.
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The overall change in the amount of money in the ATM machine is 1,800
In the Triangle BCD, Angle B is 90° since tangent and radius are perpendicular to one another.
Now, let's find Angle C using Angle sum property of a triangle.
Now, we know that Angle made by an arc on the centre is twice the Angle made by same arc on boundary of circle, hence we can infer that :
So, the required value of x is 9
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem the given line represent a proportional relationship, because passes through the origin
we have
---> the constant of proportionality k is equal to the slope
substitute
The linear equation is
To draw a line we need two points
we have (0,0)
To find the other point
assume x=3 and substitute in the equation to solve for y
so
The other point is (3,4)
using a graphing tool
Plot the points (0,0) and (3,4)
To graph the line join the points
see the attached figure
Answer:
5 1/7 hours
Step-by-step explanation:
We're looking to calculate TIME. In this situation the proper expression is:
6 letters
time = -----------------------------------------------------------
2 letters / 4 hours + 2 letters / 6 hours
We can divide numerator and denominator both by "2 letters" to simplify the problem:
3 3 hours 3 hours
time = ----------------- hours, or ------------------ = -----------------
1/4 + 1/3 3/12 + 4/12 7/12
Invert the divisor 7/12, and then multiply: (3 hours) (12/7) = 36/7 hours, or
5 1/7 hours
It will take these two guys 5 1/7 hours, working together, to type these 6 letters.