Answer:
x = 
Step-by-step explanation:
Given equation is,
By solving this equation,
[tangent of any angle is negative in IInd and IVth quadrants]
x = 
, 
x =
Therefore, value of x in the interval of [0, 2π] are .
I think for this item, the rate at which the gasoline was consumed is to be calculated. To determine the distance that Stanley's car had traveled, we subtract 840 miles from 1,200 miles. That will give us an answer of 360 miles. Dividing this by 12 gallons will give us an answer of 30 miles/gal.
Answer:
2.18
Step-by-step explanation:
The mean is the most familiar average. It is defined as a value obtained by dividing the sum of all observations by their number. It is calculated as
Mean = Sum of all the observations/ Number of the observations
Mean= x₁+x₂+...............+xₐ/n
Where x₁,x₂,...............,xₐ refer to different values of x and n is the sample size.
Mean= 2+1+2+2+2+2+1+3+3+3+3/11= 24/11= 2.18
The mean may correspond to a population or a sample from a population.
The population mean is a fixed quantity where as the sample mean is a variable quantity because different samples from the same population tend to have different means.
Answer:
1/4
Step-by-step explanation:
A P E X
Answer:
a. 61.92 in²
b. 21.396 ≈ 21.4%
c. $4.71
Step-by-step explanation:
a. Amount of waste = area of rectangular piece of stock - area of two identical circles cut out
Area of rectangular piece of stock = 24 in × 12 in = 288 in²
Area of the two circles = 2(πr²)
Use 3.14 as π
radius = ½*12 = 6
Area of two circles = 2(3.14*6²) = 226.08 in²
Amount of waste = 288 - 226.08 = 61.92 in²
b. % of the original stock wasted = amount of waste ÷ original stock × 100
= 61.92/288 × 100 = 6,162/288 = 21.396 ≈ 21.4%
c. 288 in² of the piece of stock costs $12.00,
Each cut-out circle of 113.04 in² (226.08/2) will cost = (12*113.04)/288
= 1,356.48/288 = $4.71.
