Answer:
diamerer of the hair (t) 3.11 X 10^{-5} m
Step-by-step explanation:
The first dark spot is at the zero location where the glass plates touch. To find the number of dark fringes after first dark fringe, divide 12 cm by 0.75 mm (.075 cm)
12/.075 = 160.0
total number of additional bright fringe is 156 because there is no further portion for extra dark fringe.
diamerer of the hair (t) can be derived as
2nt = (m + .5)*wavelength
2(1.52)(t) = (160.5)(589.3 X 10^{-9})
t = 3.11 X 10^{-5} m
Answer:
No solution, this is not an arithmetic sequence
Step-by-step explanation:
An arithmetic sequence is the same number being added over and over. This is not the case.
Answer:
(f - g)(x) = 3x² - 2x - 6
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x² - 2
g(x) = 2x + 4
(f - g)(x) is f(x) - g(x)
<u>Step 2: Evaluate</u>
- Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)
- Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4
- Combine like terms: (f - g)(x) = 3x² - 2x - 6
Solution:
<u>Note that:</u>
- Area of trapezoid = Area of triangle + Area of square = 575 m²
- Area of triangle = 32.5 m²
- Area of square = s²
<u>Finding the area of the square:</u>
- 32.5 + Area of square = 575 m²
- => Area of square = 575 - 32.5
- => Area of square = 542.5
- => s² = 542.5
- => s = √542.5 ≈ 23.29
The length of the square is 23.29 meters.
Answer:
The surface area of the given pyramid is 112 
.
Step-by-step explanation:
Base length of the pyramid = 4 inches
Area of the base = 
= 
= 16
Area of its base = 16
Area of one of its triangular surface = 
x base x height
= x 4 x 12
= 2 x 12
= 24
Area of all its four triangular surfaces = 4 x 24
= 96
surface area of the pyramid = sum of areas of all its surfaces
= 16 + 96
= 112
The surface area of the given pyramid is 112 .
