Multiple both sides by 5/1 and get
-1/1 • (x-4) = -10/1
divide the numbers and get
-1 • (x-4) = -10
remove the parentheses
- x-4 = 10
move the constant to the right
-x = -10-4
calculate
-x = -14
change the signs
x= 14
Answer:
i) pi×4500 cm³
ii) pi×600 cm²
iii) 14 liters
Step-by-step explanation:
in general : the diameter is 30 cm, the radius is half of that (15 cm)
i)
the volume of a cylinder is base area times height.
Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³
ii)
similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.
surface area of the cylinder mantle is
Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²
iii)
for this we need now to do the multiplication with pi and then convert the cm³ to liters.
1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³
pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters
Answer:
1000 cubic inches
Step-by-step explanation:
(10)(10)(10) = 1000
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 6) → x₁ = -5, y₁ = 6
Point (3, 2) → x₂ = 3, y₂ = 2
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formulas]:

- [Distance] [√Radical] (Parenthesis) Add/Subtract:

- [Distance] [√Radical] Evaluate exponents:

- [Distance] [√Radical] Add:

- [Distance] [√Radical] Simplify:

So you would use GEMDAS or PEMDAS
-8-1+4x2
-8-1+8
-9+8
-1