Answer:
-32
Step-by-step explanation:
10–{22–[(−9)+(−11)]}
Work inside out
10–{22–[(-20)]}
Subtracting a negative is adding
10–{22+20}
10 - 42
-32
How do you want this solved?
x(3.4+4.6+2.2)
x(10.2)
Each hiker will carry 10.2 lbs
if there are x hikers they will carry 10.2*x lbs
Answer:
x ≈ 11.5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sin∅ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Identify Variables</u>
Angle = 35°
Opposite Leg = <em>x</em>
Hypotenuse = 20
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute [sine]: sin35° = x/20
- Isolate <em>x</em>: 20sin35° = x
- Evaluate: 11.4715 = x
- Rewrite: x = 11.4715
- Round: x ≈ 11.5
Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
