Answer:
x = 19√3
y = 38
Step-by-step explanation:
x/19 = cot 30° = √3
x = 19√3
sin 30° = 19/y
1/2 = 19/y
y = 38
Answer:
x = 3
y = -2
Step-by-step explanation:
x + 2y = -1
2x – 3y =12
Using substitution means that in one equation you solve for a variable. In this case, the first equation would be easier to solve for x since there are no coefficients.
x = -2y - 1
Now, we plug in the value of x into the second equation, and solve for y.
2 (-2y - 1) - 3y = 12
-4y - 2 - 3y = 12
-7y - 2 = 12
-7y = 14
y = -2
Since we have a numerical value of y, we can use it to solve for x by plugging it into one of the original equations.
x + 2(-2) = -1
x - 4 = - 1
x = 3
If you'd like to check the answer, plug in both values you got to the original equations!
I hope this helps!
Answer:
He is incorrect because 10 times 3 is 30, plus minus 2 which is 30. So instead of 34, it is 30.
Step-by-step explanation:
Total number of five letter strings formed by A,B,C and D with repetitions allowed
={4x4x4x4x4 = 4 power 5 = 1024
Now, fix BAD in a string at one place then we have 2 more places to be filled with 4 letters, total number of such strings
=4x4=16
Here, BAD can be at any of the 3 positions,
Hence the total number of strings with BAD in it
= 3 x 16=48
Now, The total number of strings not containing BAD
=1024-48
=976
Using 26 letters, the number of 5-letter words that can be formed when the letters are different is determined as follows: 26P5 = 26 × 25 × 24 × 23 × 22 = 7883600 different words.
Learn more about five-letter strings here:brainly.com/question/27134945
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