We know that
step 1
if ∡YWZ=17°
then
∡XWZ=17°*2-----> 34°----> because triangle XWY and triangle YWZ are congruents
step 2
∡WXY=∡WZY-------> because triangle XWY and triangle YWZ are congruents
we know that
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180°=∡XWZ+2*∡WXY---------> ∡WXY=[180-∡XWZ]/2
∡WXY=[180-34°]/2-------> ∡WXY=73°
the answer is
∡WXY=73°
How to find the unit of rate. Well, in this case finding the unit rate would be pretty simple. All you have to do is take 14Ib and 2.99 and divide them the equation will look like this 14÷2.99=4.682274247491638796 so your answer (I think please correct me if I'm wrong and I am sooo sorry if I'm wrong) would be 4.68 or 4.6
Answer:
x - intercept = 0 and y - intercept = 0
Step-by-step explanation:
Using the two point slope intercept form, the formula is;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
We are given the intercepts to be at
(2,1) and (6,3).
So, x1 = 2 and x2 = 6,while y1 = 1 and y2 = 3
Plugging into the equation, we have;
(y - 1)/(x - 2) = (3 - 1)/(6 - 2)
(y - 1)/(x - 2) = 2/4
(y - 1)/(x - 2) = 1/2
Cross multiply to get;
2(y - 1) = x - 2
2y - 2 = x - 2
2y = x
Now, the x intercept will occur at y = 0.
Thus,
2(0) = x
x = 0
Also, the y intercept occurs when x = 0.
So, 2y = 0
y = 0
x - intercept occurs at (0,0) and y - intercept occurs at (0,0)
Answer:
2.09.ft/min
Step-by-step explanation:
There is a formula for the linear velocity using rpm:
V = (2π)/60 * r * rpm
V = (2π)/60 * 2ft * 10 = 2.09ft/min
Note that 
Answer:
Mary's risk premium is $0.9375
Step-by-step explanation:
Mary's utility function,
Mary's initial wealth = $100
The gamble has a 50% probability of raising her wealth to $115 and a 50% probability of lowering it to $77
Expected wealth of Mary, 
= (0.5 * $115) + (0.5 * $77)
= 57.5 + 38.5
= $96
The expected value of Mary's wealth is $96
Calculate the expected utility (EU) of Mary:-
![E_u = [0.5 * U(115)] + [0.5 * U(77)]\\E_u = [0.5 * 115^{0.5}] + [0.5 * 77^{0.5}]\\E_u = 5.36 + 4.39\\E_u = \$ 9.75](https://tex.z-dn.net/?f=E_u%20%3D%20%5B0.5%20%2A%20U%28115%29%5D%20%2B%20%5B0.5%20%2A%20U%2877%29%5D%5C%5CE_u%20%3D%20%5B0.5%20%2A%20115%5E%7B0.5%7D%5D%20%2B%20%5B0.5%20%2A%2077%5E%7B0.5%7D%5D%5C%5CE_u%20%3D%205.36%20%2B%204.39%5C%5CE_u%20%3D%20%5C%24%209.75)
The expected utility of Mary is $9.75
Mary will be willing to pay an amount P as risk premium to avoid taking the risk, where
U(EW - P) is equal to Mary's expected utility from the risky gamble.
U(EW - P) = EU
U(94 - P) = 9.63
Square root (94 - P) = 9.63
If Mary's risk premium is P, the expected utility will be given by the formula:
Mary's risk premium is $0.9375
