Answer:
a)
degrees
b) 
Step-by-step explanation:
An approximate formula for the heat index that is valid for (T ,H) near (90, 40) is:

a) Calculate I at (T ,H) = (95, 50).
degrees
(b) Which partial derivative tells us the increase in I per degree increase in T when (T ,H) = (95, 50)? Calculate this partial derivative.
This is the partial derivative of I in function of T, that is
. So



Answer:
D = .44P
Step-by-step explanation:
We need to find the slope of the line
m = (y2-y1)/ (x2-x1)
Using two points
m = (22-4.4) /(50-10)
= 17.6/40
= .44 lb/ in^2 ft
We can use the point slope form of the equation
y-y1 = m(x-x1) where y=D and x=P
D-4.4 = .44 (P-10)
Distribute
D-4.4 = .44P - 4.4
Add 4.4 to each side
D -4.4+4.4 = .44P -4.4+4.4
D = .44P
Answer:
(c) Triangle Z Y X is similar to triangle C B A
Step-by-step explanation:
Triangles are similar when corresponding sides have the same ratio. Corresponding sides will have corresponding end point vertices. The similarity statement lists corresponding vertices in the same order.
__
<h3>corresponding sides</h3>
The side lengths, smallest to largest, for the two triangles are ...
- 3 cm -- ZY
- 6 cm -- YX
- 7 cm -- XZ
And for the other triangle, ...
- 6 cm -- BC
- 12 cm -- AB
- 14 cm -- AC
<h3>corresponding vertices</h3>
The points joining the each side to the next one longer, in order for the two triangles, are ...
Y, X, Z and B, A, C
The vertices corresponding to ZYX in the same order are CBA.
triangle ZYX is similar to triangle CBA