Use the pythagorean theorem.
The foot of the ladder is 4 feet away from the building (leg 1)
The height of the building is leg 2
The ladder, which would be at an angle, is 12 feet. So our hypotenuse would be 12. The equation for this would be a²+4²=12²
We can then begin to solve
a² + 16 = 144
a² = 128
a=11.31
So, our answer is: The top of the ladder reaches the building at 11.31 feet up
$a decreased by 25% would be 0.75a. $1.2a decreased by 40% would be 0.6(1.2a) = 0.72a.
Answer:
X = 5
Y = 7
Step-by-step explanation:
First we will find x
4x + 2 = 3x + 7
x + 2 = + 7
x = 5
Next we will find y
2y + 9 = 4y - 5
-2y + 9 = -5
-2y = -14
y = 7
Answer:
C6 greeting cards for $23.40
Step-by-step explanation:
A. 13.5/3=4.5
B. 38.25/9=4.25
C. 23.4/6=3.9
d. 32.8/8=4.1
cos(2x+x)
=cos (2x)cosx-sin(2x)sinx
=(1-2sin^2x)cosx-2sinxcosx*cos x
=cos x-2 sin ^2 x cos x-2 sin^2 xcos x
=cos x-4sin^2 x cos x
=cos x {1-4(1- cos ^2 x)}
=4 cos ^3x -3 cos x