Step-by-step explanation:
NSWER
From the above equation, we get
cosθ=sinθ
Hence
θ=450
Therefore
sin4θ+cos4θ
=sin4450+cos4450
=2×(21)4
=2×41
=21
.35x=40
/.35 /.35
X= 40/.35
X = 114.2857
Answer:
The percent error based on the average measurements is 0.8%.
Step-by-step explanation:
The standard equation for percent error is [(original - actual)/original} x 100. The original amount is 100 degrees celcius. Your average measurement can be found by adding the three temperatures together and dividing by the number of temperatures collected: 98.5 + 99.3 + 99.8 = 297.63/3 = 99.2. When we place our numbers into the equation and solve, we get: (100 - 99.2)/100 = 0.008 x 100 (to get our percentage) = 0.8%.
Given:
The function for size of a square frame is

where, x is the side length of the picture.
The function for the price in dollars for the frame is

To find:
The single function for the price of a picture with an edge length of x.
Solution:
We know that, for a picture with an edge length of x.
Size of a square frame = f(x)
Price in dollars for the frame = p(x)
Single function for the price of a picture with an edge length of x is

![[\because f(x)=x+2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%2B2%5D)
![[\because p(x)=3x]](https://tex.z-dn.net/?f=%5B%5Cbecause%20p%28x%29%3D3x%5D)
Let the name of this function is c(x). So,

Therefore, the required function is
.