Answer:
$21.67 profit
Step-by-step explanation:
65/1.5 = 43.33 bought for
65.00-43.33 = 21.67 profit
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:
108 miles
Step-by-step explanation:
Given the points (0.5, 135) and (2,81)
Diatnce between two points :
D = √(x2 - x1)² + (y2 - y1)²
X1 = 0.5 ; y1 = 135 ; x2 = 2 ; y2 = 81
D = √(2^2 - 0.5^2) + (81^2 - 135^2)
D = √(4 - 0.25) + (6561 - 18225)
D = √3.75 −11664
D = 107.98263
D = 108 miles
Answer:
the answer is 1350
Step-by-step explanation:
add 450 together three times or multiply by 3
450 x 3 = 1350
Answer:
Step-by-step explanation:
Let x represent the number of stamps from Europe.
Let y represent the number of stamps from Africa.
Let z represent the number of stamps from Asia.
She has 47 stamps in all. This means that
x + y + z = 47 - - - - - - - - - - - 1
The number of African stamps is 2 times the number of Asian stamps. This means that
y = 2z
She has 20 stamps from Europe. Therefore, substituting x = 20 and y = 2z into equation 1, it becomes
20 + 2z + z = 47
3z = 47 - 20 = 27
z = 27/3 = 9
y = 2z = 2 × 9
y = 18
She has 20 stamps from Europe, 18 stamps from Africa and 9 stamps Asia.
