Answer:
x = 19; y = 19√3
Step-by-step explanation:
sin 30° = opp/hyp
sin 30° = x/38
x = 38 × sin 30°
x = 19
cos 30° = adj/hyp
cos 30° = y/38
y = 38 × cos 30°
y = 38 × √3/2
y = 19√3
53
4 + 9 = 13, the one carries over, so 3 + 1 + 1 = 5
Answer:
10
Step-by-step explanation:
Diameter is twice the radius.
The probability that you will guess the first answer correctly = 1/2 = 0.5
The probability that you will guess the second answer correctly = 1/2 = 0.5
The probability that you will guess the third answer correctly = 1/2 = 0.5
The probability that you will guess all three answers correctly is
(0.5) x (0.5) x (0.5) = 0.125 = 12.5% .
============================
Here are all the ways your answer sheet could wind up:
(R = a right answer. W = a wrong answer.)
W W W
W W R
W R W
W R R
R W W
R W R
R R W
R R R
Number of possible ways to score 0 right out of 3 questions: 1 way
Number of possible ways to score 1 right out of 3 questions: 3 ways
Number of possible ways to score 2 right out of 3 questions: 3 ways
Number of possible ways to score 3 right out of 3 questions: 1 way
Statistically, if your answers are all pure guesses,
then on the average, the score you expect is
(0 + 33-1/3 + 33-1/3 + 33-1/3 + 66-2/3 + 66-2/3 + 66-2/3 + 100) / 8
= 400 / 8
= 50% .
If you're happy with that score, great !
Go to the movies the night before the test,
and start guessing.
Answer:
$61,500
Step-by-step explanation:
$61,500
x
4.8% (.048)
=
$2952 yearly
x
30 years
=
$88,560
+
Initial Deposit of $61,500
=
$150,060
