Answer:
k = 7
Step-by-step explanation:
Step 1: Write equation
-18 = 5 - (6k - 19)
Step 2: Solve for <em>k</em>
<u>Distribute negative:</u> -18 = 5 - 6k + 19
<u>Combine like terms:</u> -18 = -6k + 24
<u>Subtract 24 on both sides:</u> -42 = -6k
<u>Divide both sides by -6:</u> k = 7
Step 3: Check
<em>Plug in k to verify it's a solution.</em>
-18 = 5 - (6(7) - 19)
-18 = 5 - (42 - 19)
-18 = 5 - 23
-18 = -18
The angle between two vectors is:
CosФ = u - v / Magnitude(u) x magnitude(v)
Magnitude of u = SQRT(7^2 + -2^2) = SQRT(49 +4) = SQRT(53)
Magnitude of v = SQRT(-1^2 +2^2) = SQRT(1 +4) = SQRT(5)
u x v = (7 x -1) + (-2 x 2) = -7 + -4 = -11
cosФ = -11 / sqrt(53) x sqrt(5)
cosФ = -11sqrt265) / 265
Ф =cos^-1(-11sqrt265) / 265)
Ф=132.51 degrees.
Answer:
Learn your timetables daily.
Step-by-step explanation:
You can find songs online to help you memorize and understand them in the simplest form.
Answer:
72.2
Step-by-step explanation:
Monday: 78.8
Tuesday: 78.8 - 6.6 = 72.2
Step-by-step explanation:
Solution,
Area=38.5 cm²
by using the formula of are of a circle i.e, πr², we get
πr²= 38.5 cm², where π=22/7
r²=38.5 cm²/π
r²=12.25 cm²
r=√12.25 cm²
r=3.5 cm
Now, by using the formula of circumference of a circle i.e, 2πr, we get
2πr=2×π×3.5 cm, where π=22/7
=22 cm
So, the circumference of the circle is 22 cm.
I hope it helped U
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