Of the four x-coordinates to choose only 1/√(11) belongs can belong to the unit circle.
The other three x-coordinates are greater than 1, then they are out of the unit circle.
The unit circle formula is x^2 +y^2 = 1
Then to find the y-coordinate given the x-coordinate you can solve for y from that formula:
y^2 = 1 - x^2
y = (+/-)√(1-x^2)
Substitute the value of x
y = (+/-)√{1 - [1/√(11)]^2} = (+/-) √{(1 - 1/11} =(+/-) √ {(11 -1)/11 =(+/-)√(10/11) ≈ +/- 0.95
The volume of the right rectangular prism is the product of all its dimensions, length, width and height. Since all these dimensions are given, therefore, we can directly calculate the volume of the right rectangular prism by substitution to the formula.
V = L*W*H
V = (2.5 ft)(3 ft)(1.5 ft)
<em>V = 3.375 ft³ or 3 and 3/8 ft³</em>
Answer:
x= 5.55 and 0.45
Step-by-step explanation:
Quadratic Equation = (-b±√b²-4(a)(c))÷2(a)
Get equation = to 0 by subtracting the 3 on the right side of the = sign
2x² - 12x + 5
Identify the variables
a=2
b=-12
c=5
Put them into the quadratic equation
(-(-12)± √-12² - 4(2)(5))÷2(2)
Simplify
(12 ±√144 - 40)÷4
(12±√104)÷4
Now split into 2 equations (one with addition one with subtraction) because of the ± then continue simplifying
(12 - √104)÷4 (12 + √104)÷4
(12 - 10.198039)/4 (12 + 10.198039)/4
5.54950975 0.45049025
Round
5.55 0.45
m = ρ v
m = (0.492 g / mL) * 163.5 mL
m = 80.442 g
rounded to nearest hundredth:
m = 80.44 g
U count how many students were walking then multiply it by half itself
