Answer:
1) It is given that line AB is tangent to the circle at A.
∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)
Thus, the measure of ∠CAB is 90º.
Answer: The input values are B-number of hours (x).
The output values are C-charge for babysitting(y).
The value of $10 represents the B-y intercept.
The value of $8 represents the C-slope.
Step-by-step explanation:
Charges to drive to the home= $10
Additional charges per hour=$8
Let x be the hour she worked (independent variable) and y be the total charge for baby sitting (dependent variable)
Thus, the input values are number of hours (x) and the output values are charge for babysitting(y)
According to the situation the equation would be
y=8x+10
which is equivalent to the slope intercept form y=mx+c, where
m=8, slope of line
At x=0, y=10
Thus, $10 represents the y intercept
Hi,
81 is 37.5% of 216.
"1. We assume, that the number 37.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 37.5, so we can write it down as 100%=37.5.
4. We know, that x% equals 81 of the output value, so we can write it down as x%=81.
5. Now we have two simple equations:
1) 100%=37.5
2) x%=81
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=37.5/81
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 81 is what percent of 37.5
100%/x%=37.5/81
(100/x)*x=(37.5/81)*x - we multiply both sides of the equation by x
100=0.46296296296296*x - we divide both sides of the equation by (0.46296296296296) to get x
100/0.46296296296296=x
216=x
x=216 "
Have a great day!
Answer: the company shipped 21,696 ball bearings.
Step-by-step explanation:
Each box contains 48 balls bearings and the company shipped 452 boxes, so it is a simple multiplication 452 times 48 = 21,696
