Given triangle KLM with two sides given as 45 yd and 20 yd and a 25 degree angle opposite the 20 yd side.
We find the angle made at the opposite of the 45 yd side using the sine rule as follows.
Thus, the third angle is given by 180 - 25 - 71.97 = 83.03 degrees.
We also use the sine rule to find the third side of the triangle as follows.
Therefore, amount of fencing needed to surround the perimeter of the picnic area = 45 + 20 + 46.97 = 111.97 ≈ 120 yds
She would've eaten half of the cake, or 8 oz.
Answer:
0.2163
Step-by-step explanation:
Firstly, we need to evaluate the total number of possible outcomes. Since there are 16 players, and we are selecting just 5, the total number of possibilities is 16C5= 4,368
Now, we know we need 2 guards from 6 , 2 forwards from 7 and 1 center from 3 to start the game. Since we are selecting, it is a combination problem. These can be done in the following number of ways:
6C2 * 7C2* 3C1
The probability is thus (6C2 * 7C2* 3C1 )/16C5 = 945/4368 = 0.2163
Answer:
B) 5 (x minus 3)
C) 4 x + 3 y minus 15 minus 3 y + x
E) Negative 20 minus 3 x + 5 + 8 x
tep-by-step explanation:
5x minus 15
5x - 15
5(x - 3)
4 x + 3 y minus 15 minus 3 y + x
4x + 3y - 15 - 3y + x
5x - 15
Negative 20 minus 3 x + 5 + 8 x
-20 - 3x + 5 + 8x
5x - 15
Answer: The required inequality is 
and its solution is 
Step-by-step explanation: Given that Mustafa, Heloise, and Gia have written more than a combined total of 22 articles for the school newspaper.
Also, Heloise has written 
as many articles as Mustafa has and Gia has written 
as many articles as Mustafa has.
We are to write an inequality to determine the number of articles, m, Mustafa could have written for the school newspaper. Also, to solve the inequality.
Since m denotes the number of articles that Mustafa could have written. Then, according to the given information, we have
And the solution of the above inequality is as follows :
Thus, the required inequality is and its solution is
