Remember
xyz=(x)(y)(z)
if x and y and z are all perfect cubes, xyz is also a perfect cube
remmeber
(x^n)^m=x^(mn)
so if it is perfect cube it can be factored into
(x^n)^3, such taht n is a whole number
basiclaly, see if the expoent is divisble by 3
all of them should be perfect cubes
215x^18y^3z^21
split them up to see which ones need changing
215=5*43, not a perfect cube
could be changed to 6^3, which is 216
x^18=(x^6)^3
y^3=y^3
z^21=(z^7)^3
the 215 needs to be changed
The formula for calculating the total interior angle in a
regular polygon is given as:
total interior angle = (n -2) 180
where n is the number of sides and since there are sides:
total interior angle = 360°
To get this angle, we know that it is the summation of all
angles:
360° = angle A + angle C + angle B + angle D ---> 1
Looking closely, we can see that segments BC and AD are
parallel which means that:
angle A + angle C = angle B + angle D ---> 2
Substituting equation 2 to 1:
360 = 2 (angle A + angle C)
angle A + angle C = 180
(x + 16) + (6x – 4) = 180
Answer:
B
Thanks for posting your question here. The answer to the above problem is x = <span>48.125. Below is the solution:
</span>
x+x/7+1/11(x+x/7)=60
x = x/1 = x • 7/7
x <span>• 7 + x/ 7 = 8x/7 - 60 = 0
</span>x + x/7 + 1/11 <span>• 8x/7 - 60 = 0
</span>8x <span>• 11 + 8x/ 77 = 96x/ 77
</span>96x - 4620 = 12 <span>• (8x-385)
</span>8x - 385 = 0
x = 48.125
The height of a baseball thrown from the catcher to first base is modeled by the function 
, where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds
To find out height of the ball at 10 seconds, we plug in 10 for t
h(10)=4.2 feet
the height of the ball at 10 seconds= 4.2 feet
