Answer:
80 cm / 180 cm / 120 cm
Step-by-step explanation:
the smallest common multiple of 3, 4 and 2 is 12.
so, to be able to truly compare these fractions we need to bring all denominators to .../12.
1/3 = 4/12
3/4 = 9/12
1/2 = 6/12
in total we have therefore 19 (4+9+6) equally large parts of the ribbon that are then combined :
4 parts for the first segment.
9 parts for the second segment
6 parts for the third segment.
so, one part is
380 cm / 19 = 20 cm
therefore the first segment of the ribbon is
4×20 = 80 cm long
the second segment
9×20 = 180 cm long
the third segment
6×20 = 120 cm long
Answer:
The percent error in the meteorologist's forecast for Monday is 5.26316 %
Step-by-step explanation:
Answer:
x = 53.6588°
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] cos∅ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use trig to find the missing angle.
<u>Step 2: Identify Variables</u>
<em>POV from angle x</em>
Angle = <em>x</em>
Adjacent = 16
Hypotenuse = 27
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: cosx° = 16/27
- Inverse: x° = cos⁻¹(16/27)
- Evaluate: x = 53.6588°
Fabric needs to make a dress = 3 1/4
fabric needs to make jacket= 3 1/4 - 5/6
= 29/12 or 2 5/12
Hence total fabric needed for both pieces is
= 3 1/4 + 2 5/12
= 68/12 or 5 8/12 or 5 2/3 yards