Answer:
15 units
Step-by-step explanation:
d = 14.866
d = 15
Answer:
9/7
Step-by-step explanation:
13/14 - 1/7 + 1/2
taking LCM
=(13-2+7)/14
=18/14
to its lowest term
=9/7
According to law of cosines the length of RQ can be written as 
.
Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.
A length of the triangle can be written as according to law of cosines if sides are given and one angle is 
We have to just put the values in the above equation.
as .
p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.
Hence the side can be written as according to law of cosines if the angle is 39 degrees is as .
Learn more about trigonometric functions at brainly.com/question/24349828
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Question:
Morgan is playing a board game that requires three standard dice to be thrown at one time. Each die has six sides, with one of the numbers 1 through 6 on each side. She has one throw of the dice left, and she needs a 17 to win the game. What is the probability that Morgan wins the game (order matters)?
Answer:
1/72
Step-by-step explanation:
<em>Morgan can roll a 17 in 3 different ways. The first way is if the first die comes up 5, the second die comes up 6, and the third die comes up 6. The second way is if the first die comes up 6, the second die comes up 5, and the third die comes up 6. The third way is if the first die comes up 6, the second die comes up 6, and the third die comes up 5. For each way, the probability of it occurring is 1/6 x 1/6 x 1/6 = 1/216. Therefore, since there are 3 different ways to roll a 17, the probability that Morgan rolls a 17 and wins the game is 1/216 + 1/216 + 1/216 = 3/216 = 1/72</em>
<em>I had this same question on my test!</em>
<em>Hope this helped! Good Luck! ~LILZ</em>
start inside the square root, replace X with -7.
-7 + 11 = 4
The number 4 comes out of the square root as 2.
Now there's a minus factor out there. Let's multiply this negative factor by 2 and get -2.
Now let's add -2 and -3.
Our output is -5.
