Sin60=DF/FE
Root 3/2= DF/ 18 Root 3
DF= 18*3/2
DF= 27 units
cos60=DE/FE
1/2=DE/18 Root 3
DE= 18 Root 3/2
DE= 9 Root 3 units
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer:
x = $36 , y = $ 838
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).
From the properties of a parabola equation of the form:
The vertex ( turning point ) or maximum/minimum point is given as:
The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:
The maximum profit would be y = $838
Answer:
Step-by-step explanation:
<u>Step 1: Divide both sides by 3
</u>
Answer:
This is the formula for computing the required rate of return in a market: E(R)<span> = Rf + ß( R<span>market </span>- R<span>f </span>). This is called as the Capital Asset Pricing Model (CAPM). The E(R) represents the required rate of return; the Rf is the risk-free rate; the </span>ß is the beta coefficient (which we are looking for); and the Rmarket is the rate of return on the market. Substituting the values to this formula, you can come up with the beta coefficient of 1.4.
