Answer:
x = 30°
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set Up Equation</u>
53° + 97° + x° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine Like Terms: x° + 150° = 180°
- Isolate <em>x</em>: x = 30°
3x - 2y = 5
2y = 3x - 5
y = (3/2) x - 5/2
so the gradient (m) of the required line = -1 / (3/2) = -2/3
using the general form
y - y1 = m(x - x1) , m = -2/3 , x1 = -2 and y1 = 1
y - 1 = -(2/3) ( x - (-2))
y = -(2/3)x - 4/3 + 1
y = -(2/3)x - 1/3
multiply through by 3
3y = - 2x - 1
in standard form its
2x + 3y = -1
12 3/8 ÷ 3/4
change the mixed fraction to improper....
99 3
__ ÷ __
8 4
now change the sign to a multiplication sign and flip 3/4.
99 4 396
__× __= _____
8 3 24
396/24..... that changes to 16 22/24. Simplify it and it will be 16 11/12.
Answer:
1,000
Step-by-step explanation:
1. Volume= length x width x height
2. 10 x 10= 100
3. 100 x 10= 1000
So the volume of the cylinder is 1,000
You have to move the decimal four (note the exponent) places to the left so the decimal is directly after the first number. You have to drop the zero because it's not significant. The answer is 1.958 x 10^4
