Answer:
71.6056
Step-by-step explanation:
c² = a² + b² - 2abcosC°
29² = 30² + 15² - 2(30)(15)cosC°
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
Answer:
8x6x4=192. So, the answer is 192.
Divide 4,320 between 9 and you'll get 408 per week. divide 408 between 40 and you'll get how much he makes per hour
Answer:
A.) The sum of the product of the number of terms and the number of terms plus one.
Step-by-step explanation:
So, we have the sum of the first 22 positive even numbers:
S = 2 + 4+ 6 + ... + 44
We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).
S = (2 + 44) * 11 = 46 * 11 = 506
Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).
S = 22 * 23 = 506
That's confirmed.
Answer B would give 22 * 21 = 462, so it's not right
Answer C would give 22 * 2 = 44, obviously not right
Answer D would give 22 * 22 = 484, close but not right.
Answer:
y = 
Step-by-step explanation:
Equation of a line has been given as,

Here, slope of the line = 
y-intercept = 
"If the two lines are parallel, there slopes will be equal"
By this property slope of the parallel line to the given line will be equal.
Therefore, slope 'm' = 
Since, slope intercept form of a line is,
y = mx + b
Therefore, equation of the parallel line will be,
y = 
Since, this line passes through a point (-6, 6),
6 = 
6 = 
b = 
b = 
b = 
Equation of the parallel line will be,
y = 