Answer:
1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}
Step-by-step explanation:
We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.
x + 1 < 5
x < 4 . . . . . . . subtract 1
__
x -4 > -3
x > 1 . . . . . . . add 4
So, the solution is ...
(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions
As a compound inequality, this is written ...
1 < x < 4
_____
<em>Comment on the problem</em>
The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.
Answer:
A. Cos θ = 16/42
Step-by-step explanation:
The angle the ladder makes with the floor = θ
Hypotenuse = length of the ladder = 42 m
Adjacent = Distance from the bottom of the ladder to the wall = 16 m
Therefore to find θ, we would apply the trigonometric function, CAH:
Cos θ = adj/hyp
Which is:
Cos θ = 16/42
Answer:

Step-by-step explanation:
Hello!
Expand the square using the Distributive Property.
<h3>Expand</h3>
Distributive x - 5 to each factor
The answer is
.
We can also use a special binomial product formula.
Formula: 
We get the same answer both ways.
Answer:
28 pieces.
Step-by-step explanation:
1/8 of 40 is 5. Subtract that five (the five that they ate) from 40, leaving you with 35. It says the next day, Ben ate 1/5 of what was left. He ate 1/5 of 35 which is 7. He ate 7 pieces. Subtract this from 35 and you're left with 28 pieces of calzone.