Answer:
"The area of EFGH is always One-half of the area of the rectangle."
Step-by-step explanation:
<em>Graph is attached.</em>
<em />
The kite consists of 2 triangle, EFG and EHG.
The area of EFG:
where h is the height from F to EG
The area of EHG:
where 
is the height from H to EG
We also know that h + h _1 is the width of the rectangle and EG is the length of the rectangle
Thus,
Area of Kite = 
Also, Area of rectangle is rectangle length * rectangle width.
Thus, area of kite is always half of that of rectangle, the third choice is right.
Answer: 
Step-by-step explanation:
It is important to remember that, by definition, proportional relationships have the following form:
Where "k" is the constant of proportionality.
We know that Maddy assume that the relation between the volume and the weight is proportional.
Then, let be "V" the volume in liters and "w" the weight in kilograms.
We can write the following equation:
So, if the boat of 555 liters weights 7.5 kilograms, we can find "k":
In order to solve the exercise, substitute the value of "k" and 
into the equation and solve for "w". Then:
Answer:
314
Step-by-step explanation:
A=πxr^2
A=πx10x10
A=πx100
A=314
idk if im right. make sure to tell me
Answer:
P{W>0}=0.5
P{W=0}=0.25
E{W}=0
Step-by-step explanation:
<u>Given:</u>
Gambles are independent i.e. each player is equally likely to win or lose 1 unit. OR each player has equal probability to win or lose 1 unit.
Let W denote the net winnings of a gambler whose strategy is to stop gambling immediately after his first win.
Then
<u>A.P{W>0}=?</u>
P{W>0}=0.5, because each player is equally likely to win or lose on first gamble. i.e there is equal chances for winning or losing on the first gamble.
<u>B.P{W<0}=?</u>
for P{W<0} we need to find P{W=0} first as;
P{W=0}=0.25
As there is equal probability to win or lose, after first win, if you want to finish gamble with no profit (equal number of lose and win) then if you losing, you have equal probability to win or lose so to finish your game with P=0 your probability is 0.25 (half of 0.5)
P{W<0} means net lose which is equal to total probability minus probability of profit and probability of net profit equal to zero.
i.e. P{W<0}=1-P{W=0}-P{W>0}
P{W<0}=1-0.25-0.5=0.25
<u>C.E{W}=?</u>
E{W}=P{W>0}*{W>0}+P{W<0}*{W<0}+P{W=0}*{W=0}
E{W}=0.5*(1)+0.5(-1)+0.25*(0) (for any value of W,P{W>0}*{W>0}+P{W<0}*{W<0}=0, because sum of same positive and negative numbers is zero)
E{W}=0
Answer:
Ф = 110°, β = 110°
Step-by-step explanation:
∠Ф and the 110° angle are corresponding angles since the vertical lines are parallel and a horizontal line cut across both lines. Thus Ф = 110°.
∠β and ∠Ф are alternate angles since the horizontal lines are parallel and a vertical line cut across both lines. Thus Ф = 110° and ∠β = 110°.
