Answer:
140 ft
Step-by-step explanation:
Given data
Area= 14 square feet
Height a = 1/5 ft
Base b=????
We know that the area of a triangle is given as
Area= (1/2)B*H
substitute
14= 1/2* B* 1/5
14= B/10
cross multiply
B= 140
Hence the base is 140 ft
Work in reverse.
45 + 15= 60. 60/2= 30. 30 + x = 47.
So, x= 47-30.
x= 17.
Tammy's recipe makes a sweeter fruit punch. This is because 3/4 (Kim's recipe) equals 18/24 (Tammy's recipe) and 5/6 equals 20/24 and since 20/24 is the bigger ratio, Tammy's recipe will make a sweeter fruit punch. I hope this helps. (:
Answer:f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
Step-by-step explanation:
Based on the weight and the model that is given, it should be noted that W(t) in radians will be W(t) = 0.9cos(2πt/366) + 8.2.
<h3>
How to calculate the radian.</h3>
From the information, W(t) = a cos(bt) + d. Firstly, calculate the phase shift, b. At t= 0, the dog is at maximum weight, so the cosine function is also at a maximum. The cosine function is not shifted, so b = 1.
Then calculate d. The dog's average weight is 8.2 kg, so the mid-line d = 8.2. W(t) = a cos t + 8.2. Then calculate a, the dog's maximum weight is 9.1 kg. The deviation from the average is 9.1 kg - 8.2 kg = 0.9 kg. W(t) = 0.9cost + 8.2
Lastly, calculate t. The period p = 2π/b = 2π/1 = 2π. The conversion factor is 1 da =2π/365 rad. Therefore, the function with t in radians is W(t) = 0.9cos(2πt/365) + 8.2.
Learn more about radians on:
brainly.com/question/12939121