Choice A. <span>14/81
</span>Possible outcomes = total number of marbles = 18
P (1st blue) = 8/18 = 4/9
P (2nd red with replacement of blue) = 7/18
P (both) = (4/9) * (7/18) = 28/162 = 14/81
Choice B. 7/18
Possible outcomes = total number of marbles = 18
<span>P (1st black) = 3/18 = 1/6 </span>
<span>P (2nd red with replacement of black) = 7/18 </span>
<span>P (both) = (1/6) * (7/18) = 7/108</span>
If the radius is 17.5 I believe that the area is 962.11.
This sort of problem is most easily worked using a financial calcualtor or app. Attached is the result of using the financial app available on a TI-84 calculator for finding future value. The arguments to the function are ...
... N — number of payments: 3
... I — annual interest rate (%): 4.95
... PV — present value: the value of the loan, 125,600
... PMT — payment amount: -1500. The sign is negative because this is money we're paying out
... P/Y — payments per year: 12 (payment is monthly)
... C/Y — compounding per year: 12 (interest is compounded monthly)
After 3 payments, the balance is $122,642.13.
Answer:
Step-by-step explanation:
Sum of angles of a triangle = 180
So, 56 + 58 + x = 180
114 + x = 180
x = 116
Now ∠ 1 + ∠x = 180 [ straight line angles]
∠ 1 + 66 = 180
∠1 = 180 - 66 = 114°
OR
You can use the rule : Exterior angle = sum of 2 interior opposite angles.
56 + 58 = ∠1
114 = ∠1
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
now, we can find x
In triangle DEF:
we can use trig formula
we can see that
height of statue =x+y
so, the height of statue is