Answer:
-5 < x < 9
Step-by-step explanation:
By Hinge theorem,
"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"
23 > 21
Therefore, 42° > (3x + 15)°
42° - 15° > 3x
27 > 3x
9 > x
And (3x + 15) > 0
3x > -15
x > -5
Therefore, range for x will be,
-5 < x < 9
Let
denote the
th partial sum of the series, i.e.
Then
and subtracting from
we get
As
, the exponential term vanishes, leaving us with
and so
Answer:
123.94
Step-by-step explanation:
Answer:
1,145,375 cm³
Step-by-step explanation:
Like with an earlier question you had, there is a chunk missing. If that chunk was filled in, this would be a 205 * 70 * 85 rectangular prism.
205 * 70 * 85
17,425 * 70
1,219,750
The cut out chunk is a 25 * 70 * 85 triangular prism.
1/2 (25 * 70 * 85)
1/2(2,125 * 70)
1/2(148,750)
74,375
Now that we know what the cut-out chunk is, subtract that from the first value we got.
1,219,750 -74,375
1,145,375 cm³
The volume of the Canadian Post mailbox is 1,145,375 cm³.
