Answer:
Temperature after 1 minute = 184 ° F
Step-by-step explanation:
starting temperature = 200 °F
rate of decrease = 8% per minute
Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F
It therefore means that after 1 minute, the cup of coffee loses 16 °F,
∴ Temperature after 1 minute = (starting temperature) - (lost temperature)
= 200 - 16 = 184 °F
Answer: 17
Step-by-step explanation:
20. percent *85 =
(20.:100)*85 =
(20.*85):100 =
1700:100 = 17
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
