To solve this, we are going to use the distance of a free fallen object:
where
is the distance
is the gravity of the Earth
is the time in seconds
We know form our problem that a cat falls out of a tree and takes 1.4 seconds to land,
. Lets replace that value in our formula to find
:
meters
We can conclude that the cat fell a distance of 9.604 meters.
The answer would be 24 square centimeter cause 8x3 =24
You just combine the like terms.
6a+5a+2a = 13a
-b+-5b = -6b
13a-6b is the simplified version of the expression.
Answer:
40
Step-by-step explanation:
AREA=LW
L₁W₁=40
L₂W₂=160
x(L₁W₁)=L₂W₂
x(L₁W₁)=L₂W₂
x(40)=160
x=40
Find tan (22.5)
Answer: #-1 + sqrt2#
Explanation:
Call tan (22.5) = tan t --> tan 2t = tan 45 = 1
Use trig identity: # tan 2t = (2tan t)/(1 - tan^2 t)# (1)
#tan 2t = 1 = (2tan t)/(1 - tan^2 t)# -->
--> #tan^2 t + 2(tan t) - 1 = 0#
Solve this quadratic equation for tan t.
#D = d^2 = b^2 - 4ac = 4 + 4 = 8# --> #d = +- 2sqrt2#
There are 2 real roots:
tan t = -b/2a +- d/2a = -2/1 + 2sqrt2/2 = - 1 +- sqrt2
Answer:
#tan t = tan (22.5) = - 1 +- sqrt2#
Since tan 22.5 is positive, then take the positive answer:
tan (22.5) = - 1 + sqrt2
