Answer: 84.1m
Step-by-step explanation:
Let the height of the flagpole be represented by x.
First and foremost, we have to know that the cosine of 18° = 0.9511.
The equation to get the height will then be:
0.9511 = 80/x
Cross multiply
(0.9511 × x) = 80
0.9511x = 80
Divide both side by 0.9511
0.9511x/0.9511 = 80/0.9511
x = 84.1
The height of the flagpole is 84.1m
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Answer:
See below
Step-by-step explanation:
.3 and .30 are the same number they are =
0.3 = 0.30
Answer:
(7, 14)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + y = 42
y = x + 7
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 4x + (x + 7) = 42
- Combine like terms: 5x + 7 = 42
- Isolate <em>x</em> term: 5x = 35
- Isolate <em>x</em>: x = 7
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = x + 7
- Substitute in <em>x</em>: y = 7 + 7
- Add: y = 14
Combine the like terms:
-15 - 19 = -34
6x - 20x = -14x
The answer would be -34-14x or -14x-34