See the attached picture:
We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is:
Answer:
x is 30/7
Step-by-step explanation:
You want to isolate x.
First, solve 5 * 6/7. The answer is 30/7.
Next, divide both sides by 6/7. This will cancel out the 6/7 on the left . For the right, when dividing fractions, you must take the reciprocal of the second fraction and multiply by it. So instead of having 30/7 divided by 6/7, you will have 30/7 * 7/6. The answer is 210/45 which simplifies to 5.
Third, you want to divide both sides by 7/6. Again the 7/6 on the left will be cancelled out. And you must do 5 * 6/7. In order to make the 5 look like a fraction to reduce confusion, you can set it over 1 (thus, you would do 5/1 * 6/7). The answer is 30/7.
You can plug it back into the equation to check.
Answer:
A) Yes, for each increase of 25 employees there is an increase of 150 products.
B) y = 6x + 10
C) the slope indicates the increase that will occur in the y-value for each unitary increase in the x-value, and the y-intercept indicates the inicial value of y (when x = 0)
Step-by-step explanation:
A)
Yes, there is a linear correlation, because a linear increase in the number of employees causes a linear increase in the number of products. For each increase of 25 employees there is an increase of 150 products.
B)
We can use two pair of points to write a linear equation in the model:
y = ax + b
Using x = 0 and y = 10, we have:
10 = a * 0 + b -> b = 10
Using x = 25 and y = 160, we have:
160 = a * 25 + 10
25a = 150 -> a = 6
So the equation is:
y = 6x + 10
C)
the slope indicates the increase that will occur in the y-value (number of products) for each unitary increase in the x-value (number of employees), and the y-intercept indicates the inicial value of y (when x = 0, that is, no employees)
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