For positive acute angles A and B, it is known that cos A= 40/41 and sinB= 8/17. Find the value of cos(A-B)cos(A−B) in simplest form.

sin(A+B) = sinAcosB+sinBcosA

if cosA = 9/41 then sinA =j40/41 It's a 9-40-41 right triangle

if tanB =21/20 then sinB =21/29 and cosB= 20/29 It's a 20-21-29 right triangle

plug those values into 1st equation above

sin(A+B) = 40/41(20/29) + 21/29(9/41) = ((40)20 + (21)9))/29(41) = (800+189)/1189 = 989/1189 = 0.832

or you could have just found A and B initially. cosA = 9/41 means A = 77.32 degrees

tanB = 21/20 means B = 46.4

A+B = 123.72

sin(123.72) = 0.832

Exact answer though without rounding is sin(A+B) = 989/1189

672/697

Step-by-step explanation:

Mane I know y’all just want the answer lol so it’s simplest form is 672/697

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest