Answer:
60 degrees.
Step-by-step explanation:
Degree is a symbol or unit of measurement which is used to measure the angle. The full rotation degree is 360 which is the complete angle. The half of degree represent the 180 degree angle which is half circle.
35(8) + (46.25 - 35)(8)(1.5) =
280 + 11.25(12) =
280 + 135 =
$ 415 <== total pay
Answer:
$6.73
Step-by-step explanation:
She has 6 Dollars
7 Dimes
and 3 pennies
Well,
The actual volume of the cube does not increase, but the number of cubic units decreases. In fact, the number of cubic units decreases by a factor of 100, as the centimeter-to-meter relationship is 100-to-1.
Combine the 2nd and 3rd equations. 3x will disappear:
2y + 5z = 7 This is true for any y and z, and is independent of x.
7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
2
We have to eliminate x again by using the 1st and 2nd equations:
-2x - 6y - 2z = -2. We want the coeff. of x in the first eqn to be -3.
Therefore, mult. all terms of -2x - 6y - 2z = -2 by 3/2:
(3/2)(-2x - 6y - 2z = -2) = -3x -9y -3z =-3
Now add this version of the 1st row to the 2nd row:
-3x -9y -3z =-3
3x +2y +5z = 7
----------------------
-7y + 2z = 4
7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into
2
-7y + 2z = 4. Then -7y + 2z = 4 becomes -7( (7-5z)/2 ) + 2Z = 4.
Elim. the fraction by mult. all terms by 2:
-7(7-5z) + 4z = 8 which becomes -49 + 35z + 4z = 8
so that 39z = 57, and so z = 57/39.
Subst. this back into -7y + 2z = 4 to calculate y. Make a final subst. to calculate x.
Given the choice, I would solve this system using matrices.
Turns out that the solution, using matrices, does not exist.