Answer:
Step-by-step explanation:
A line that cuts a circle at two points is called "secant".
There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".
According the Intersecting Secant Theorem:
Having this expression, the next step is to solve for "d":
Use Distributive property:
Subtract 256 from both sides:
Divide both sides by 16:
The value of "d" rounded to the nearest tenth is:
The measure of angle 2 is
Explanation:
Given that and
are complementary angles.
Also, the measure of angle 1 is
We need to determine the measure of
Since, we know that the complementary angles add up to 90°, then the angles and
add up to 90°.
Thus, we have,
Substituting the value of in the above expression, we have,
Subtracting both sides by 76°, we get,
Simplifying, we have,
Thus, the measure of angle 2 is
Answer:
3 times rebate will maximize its revenue
Step-by-step explanation:
Given that a store has been selling 300 DVD burners sold per week at 350 each
A market survey indicates that for each $ 30 rebate offered to buyers, the number of units sold will increase by 60 a week.
If x times rebate is offered then units sold would be 300+60x
Thus original revenue
After rebate of x times 30 dollars we have
New revenue
Equate first derivative to 0 to get
x=
i.e. 3 times rebate will maximize its revenue
55+85=140
180-140=40
10x=40
divide by ten on each side
x=4