When solving an absolute value inequality,
you can split the problem up into two separate inequalities.
The first inequality will look just like the original problem,
minus the absolute value signs (x < 5).
In the second inequality, you must switch the direction
of the inequality sign and make the right side negative (x > -5).
The word “and” is used between the two inequalities when
we split things up, in this case x < 5 and x > -5.
The word "and" means intersection which means where the graphs overlap.
In this case, that's less than 5 and greater than -5.
In set notation, this reads {x: -5 < x < 5}.
The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and .
The volume of a square pyramid,
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h = inches .
The volume of a square pyramid,
Substituting the known values, we get
So x is 18 inches long.
The side length inches.
The height of the pyramid inches.
4(8j+9)+9j
32j+36+9j
41j +36
For 6 hours charges $330
for 9 hours charges x
---------------------------------
x = 9*330/6 = 495 so choice C. is right
Answer:
23.84 feet
Step-by-step explanation:
Solving this question above, we using Trigonometric function tangent = Opposite/Adjacent
Opposite side + h = Height of the tree
We are told that:
A student is standing 20 feet away from the base of a tree. He looks to the top of the tree at a 50 degree angle of elevation. His eyes are 5 feet above the ground.
20 feet = Adjacent side = Distance form the tree
tan 50 = (h+5)/20
Cross Multiply
h + 5 = 20 × tan50
h = 20tan50 - 5
h= 18.835071852
h =18.84
Therefore the height of the tree is calculated as:
18.84+5 feet
=23.84 feet