Answer:
Larger number = 43
Step-by-step explanation:
Smaller number = x
Larger number = 5x + 3
Sum of two integers = 51
x + 5x + 3 = 51
6x + 3 = 51
6x = 51-3
6x = 48
x = 48/6
x = 8
Larger number = 5x + 3
= 5*8 + 3
= 40 + 3
= 43
Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
8$ because it starts with less first
Acute is less then 90 degrees, right is 90 degrees, and obtuse is more then 90 degrees.
Step-by-step explanation:
Reductionism is a theory in psychology centered on reducing complex phenomena into their most basic parts. It is often contrasted with holism, which is focused on looking at things as a whole.
The purpose of reductionism is to simplify psychological events and processes by looking at their smallest elements, thus “reducing” something rather complex into its most simple.