Answer:
Ans A). The graph is shown.
Ans B). 18.3333 C temperature when F is 65 temperature
Ans C). 32 F when the line crosses the horizontal axis
Ans D). Slope of line C=
is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
Given equation is C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
Ans A).
For the table,
Take the four value of F as 32,41,50,59.
For F = 32.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
C=0.
For F = 41.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(41 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2841%20-32%29)
C=05
For F = 50.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(50 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2850%20-32%29)
C=10
For F = 59.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
C=15
<em>Note: The figure shows a graph of given equation with points.</em>
Ans B). Estimate temperature in C when the temperature in F is 65
For F = 65.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
<em>C=18.333333.</em>
Ans C). At what temperature, graph lien cross the horizontal axis
When the line crosses the horizontal axis, C=0
Therefore,
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
0=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
0=![(F -32)](https://tex.z-dn.net/?f=%28F%20-32%29)
F=32 Temperature.
Ans D). Slope of the line C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
The slope of line is given by s= ![\frac{Y1-Y2}{X1-X2}](https://tex.z-dn.net/?f=%5Cfrac%7BY1-Y2%7D%7BX1-X2%7D)
Take points from the table of answer A.
let (32,0) and (41,5) using for slope.
s= ![\frac{Y1-Y2}{X1-X2}](https://tex.z-dn.net/?f=%5Cfrac%7BY1-Y2%7D%7BX1-X2%7D)
s= ![\frac{0-5}{32-41}](https://tex.z-dn.net/?f=%5Cfrac%7B0-5%7D%7B32-41%7D)
s= ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Slope of line C=
is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Hello!
The mean is the average of the numbers
To find the average you add them all up and divide the sum by the amount of numbers added
87 + 72 + 99 + 93 + 84 = 435
Divide the sum by the amount of numbers added
435 / 5 = 87
The answer is 87
Hope this helps!
Answer:
12
Step-by-step explanation:
Answer:
5/13
Step-by-step explanation:
sine=opposite/hypotenuse
cosine=adjacent/hypotenuse
opposite=-12 (I know that this is not possible)
hypotenuse=13
These are ratios, not real lengths
using the Pythagorean theorem, the other leg is 5
cos (theta)=5/13
6.25 is the mixed number in decimal form