Answer:
x=25 degrees
Step-by-step explanation:
The square in the corner says that the angle is a right angle, meaning that it is equal to 90 degrees. Since one part of the angle is 65 degrees, x must be complementary, meaning it must add on to 65 to equal 90. The only value which can fulfill this is 25. 25+65 is equal 90.
Boom.
Answer:
12 millimeters is the actual length of a microchip
Short answer T = n/4 + 40; 100 chirps = 65oF; 96o F = 224 chirps.
Comment
You have to find the base temperature (the y intercept) where there are no chirps. Then you have to use 1 chirp = 0.25oF
Givens
50oF = 40 chirps
1 chirp = 0.25oF
Discussion and development of the formula
That implies that the base temperature was 10 degrees lower, because for every chirp increase per minute the temperature increases 0.25oF
1 chirp = 0.25oF
40 chiprs = x Cross multiply
1*x = 0.25 * 40
x = 10oF
So the base temperature or the y intercept is 40oF
So far what you have is
T = n + 40 Where n is the number of chirps you hear. Now at 50oF which is 10oC more, you get 40 chirps. So n has to be divided by 4 (for the 0.25oF)
T = n/4 + 40
Where n is the number of chirps per minute.
Now try the samples with our formula.
Problem one
n = 100 chirps per minute
T = 100/4 + 40
T = 25 + 40
T = 65 oF
Problem Two
T = 96
n = ??
96 = n/4 + 40 Subtract 40 from both sides.
96 - 40 = n/4
56 = n/4 Multiply by 4
224 = n
You would expect 224 chirps / minute
Very interesting theorem. You can search the internet to find out how this was used on the Big Bang Theory.
