Answer:
(x-5)/(x+1) and x cannot equal -1 because the denominator can't be zero.
Step-by-step explanation:
Factor the numerator:
(x+9)(x-5)
Factor the denominator:
(x+1)(x+9)
So you have
(x+9)(x-5)/(x+1)(x+9); see that you can cross out the (x+9) in both the numerator and denominator?
You're left with (x-5)/(x+1)
The only number that is restricted is -1, because that would make the denominator zero, which is a no no!!
Answer:
C. 2,940 ft³
Step-by-step explanation:
The building is composed of a triangular prism and a rectangular prism
Therefore,
Volume of air in the building = volume of the triangular prism + volume of the rectangular prism
Volume of triangular prism = ½*bhl
b = 4 yards = 4*3 = 12 ft
h = 15 - 9½ = 5½ = 5.5 ft
l = 20 ft
Volume of triangular prism = ½*12*5.5*20 = 660 ft³
Volume of rectangular prism = W*H*L
W = 4 yds = 12 ft
H = 9½ = 9.5
L = 20 ft
Volume of rectangular prism = 12*9.5*20 = 2,280 ft³
✔️Volume of air in the building = 660 + 2,280 = 2,940 ft³
Bigger is tripples other thing
small radius=5 so big is 5*3=15
small height=6 so big is 6*4=18
Vcylinder=hpir^2
V=18pi15^2
V=18pi225
V=4050pi
pi=3.141592
V=12723.4476 cubic inchs
0.4 per cubic insh
0.4 times 12723.4476=5089.37904 oz
1. --> d
2. --> b
3. --> a
4. --> c
1 is d because that is the only piece of information that sounds like a given.
2 is b because we know that from the given, m∠1 is complementary to m∠2 and in the first problem, m∠1 + m∠2 = 90, they are added together. The definition of complementary angles is "Two angles with measures that, when added together, equal 90 degrees". Same thing with m∠3 and m∠2.
3 is a because since both of the problems equal 90 degrees, you can just take away the 90 and put an equal sign in between the two problems because they equal the same thing.
4 is c because you are subtracting m∠2 from the problems and ending up with just m∠1 = m∠3.
Hope this helps! :)
