Answer:
Width=75
length=105
Step-by-step explanation:
Width=x
length=30+x
= 7875=x*30+x
x^2+30x-7875=0
x^2+105x-75x-7875=0
x(x+105)-75(x+105)=0
Pythagorean theorem - a^2 + b^2 = c^2
2^2+3^2 = d^2
d^2 = 13
d= square root of 13
Answer:
Step-by-step explanation:
First, the profit formula:
PROFIT= TOTAL REVENUE - TOTAL COST
Next, note the points:
- Without Advertisement, Q = 6,000 where Q is quantity supplied
- A formula that gives the total profit P in dollars must take into account that 100cents = 1dollar
- Here, only a dollar is spent on advertisement, hence, Q = 6005
- Advertising expenses have been accounted for and [P = 9cents × Q] where Q is quantity sold.
- 9 cents = 0.09 dollars
TOTAL PROFIT FORMULA = 0.09Q - 500
Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get



Multiply both sides by 2.

Isolate the variable x.


Divide both sides by 7.


Now,




Therefore, the measure of angle KLM is 113 degrees.