The measure of ∠K is 49 degrees 22 minutes 51 seconds.
<u>Step-by-step explanation:</u>
Given that ∠J and ∠K are complementary.
∠J = 41°38'9".
∠K = ?
When a sum of two angles result is 90°, then it is called as complementary angles.
Since ∠J and ∠K are complementary, then their sum is 90°.
∠J +∠K=90°.
∠K= 90° - ∠J.
=90°60'60" - 41°38'9".
=49°22'51".
∠K= 49 degrees 22 minutes 51 seconds.
To find the volume, we should find the area of the triangle, the multiply by the depth of the object.
Area of Triangle = 1/2 * base * height = 5.7cm * 7.6cm / 2 = 21.66cm^2
Multiplying this by the depth of the object and we find:
21.66cm^2 * 4.8cm = 103.968cm^3
which we can round (if needed) to 103.97cm^3
Answer:
Step-by-step explanation:
Answer:
the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
Step-by-step explanation:
Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.
The only losing card is the ace; the player loses $20 if that card is drawn.
Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.
So the average value of each draw is

= 28/13
Therefore, on average the player will win $ 28/13. to be a fair game the player must pay $28/13 for a game.
that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.
3+3+3+4+4+5+6+6+7+9+9=59
59/11=5.36
so your mean is 5.36