The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
Answer:
0
Step-by-step explanation:
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Answer:
It should be called A decic polynomial
Step-by-step explanation:
Answer:
C is correct
Step-by-step explanation:
Given: System of linear inequality


First we will draw the graph of system of equation and then see the correct option.
Equation 1: 
We will make the table.
x : -2 0 2
y : 1 0 -1
Test Point: (0,4)
0<-2 ( False )
Shaded area away from (0,4)
Equation 2:
We will make the table.
x : -2 0 2
y : -1 3 7
Test Point: (0,4)
4≥3 ( True )
Shaded area towards (0,4)
Please see attachment for graph.
Hence, C is common shaded area (region)
Answer:
The total cost for each health club will be the same after 4 months.
Step-by-step explanation:
- Let A = membership fee for studio A
- B = membership fee for studio B
We want to when the total cost at each health studio is the same.
In other words, when A = B.
Therefore, the expression becomes


Step 1: Simplify both sides of the equation.

Step 2: Subtract 18.25x from both sides.


Step 3: Subtract 22 from both sides.


Step 4: Divide both sides by 6.25


Therefore, the total cost for each health club will be the same after 4 months.