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
In three years the Marlin's truck is worth 13,440$
To find percentage of a number, multiple it with in 0. Of the number.
Example: 28,000 ×. 48
That equals 13,440
So 48% of 28,000 is 13,440
Answer:
C
Step-by-step explanation:
P(n,r)=P(13,9)
=13!(13−9)!
=2.594592E+8
= 259459200
3c + 5t = 39....multiply by -3
9c + 7t = 63
----------------
-9c - 15t = - 117 (result of multiplying by -3)
9c + 7t = 63
---------------add
- 8t = - 54
t = -54/-8
t = 6.75 <=== tables are 6.75
3c + 5t = 39
3c + 5(6.75) = 39
3c + 33.75 = 39
3c = 39 - 33.75
3c = 5.25
c = 5.25/3
c = 1.75 <=== 1.75 per chair
B>a
b=8a-1
and we are told that 98=a+b so a=98-b, using this value for a in the equation above gives you:
b=8(98-b)-1
b=784-8b-1
b=783-8b
9b=783
b=87, and since a+b=98, a=11
so a and b are 11 and 87
