You cant parentheses in that sentecne
Perimeter is 2 x length + 2 x width
We can write that as...
P=2L+2W
We also know the length and perimeter so we substitute and solve like this
90=2 x 27 + 2W
90=54+2W
90-54=54-54+2W (property of subtraction equality)
36=2W
Divide by 2 (property of division equality)
W=18
Thus, the width of the rectangle is 18 cm
Answer: b > 13
Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.
Answer:
A) angles 7 and 8 are vertical angles, making them equal in measure
B) The angle with the measure of (5y-29) and the angle with the measure of (3y+19) are also vertical angles. This means they are equal in measure to each other. You can solve for y by setting these two angles equal to each other.
C) (5y-29)= (3y+19). Add 29 to both sides.
5y = 3y + 48. Subtract 3y from both sides.
2y = 48. Divide both sides by 2.
Y = 24
Plug 24 in for y in the two equations.
(5y-29)
5(24)-29= 91
And
(3y+19)
3(24)+19= 91
Angle 8 and the angle with the measure of (5y-29) are a linear pair. They sum to 180. Remember (5y-29)=91, so
91+ angle 8 = 180. Subtract 91 from both sides.
Angle 8 = 89
If angle 8 is 89, then angle 7 is also 89 because they are vertical angles and equal.
Step-by-step explanation:
So the question if find y'' for 4y=cos2x
First, find y by dividing by 4. y = cos2x/4
Then, take the first derivative. y' = -sin2x/2
Then, take the second dervative. y'' = -cos2x
