Answer:
x = 113
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
37+54+ x-24 = 180
Combine like terms
67+x = 180
Subtract 67 from each side
67-67+x = 180-67
x =113
Answer:
Undefined
Step-by-step explanation:
No multiplicative inverse exists for 0
Answer:
The volume of the given pyramid is 300 cm³
Step-by-step explanation:
The volume of a pyramid,
, is given as follows;

The height of the pyramid = 12 cm
The side length of the square base of the pyramid = 5 cm
The base area of the pyramid polyhedron with square base = 5 cm × 5 cm = 25 cm²
Therefore, by substitution, we have;

The volume of the given pyramid, V = 300 cm³.
Answer:
30
Step-by-step explanation:
is going to output a number in between
and
.
Luckily you are looking for
in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering
in your calculator.
You may also use the unit circle. sine value refers to the y-coordinate on there.
So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.
The expression (5x + 4)^3 in expanded form is 125 x3 + 300
x2 + 240 x + 64. The expression will
have also a root of x = -4/5. This is the form of trinomial expansion and can
be solve by multiplying the the term 3
times.