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devlian [24]
3 years ago
12

Can you please solve?-5 (-5-3k)-5 (1-6k)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0
-5(-5-3k)-5*(1-6k)
(25-15k)-(5-30K)
30+ 15K
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Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

brainly.com/question/15172156

#SPJ4

7 0
2 years ago
Find the value of x, what makes r parallel to s
Pavlova-9 [17]

Answer:

a. x = 14 (see explanation)

b. the arrows along the lines

Step-by-step explanation:

The relationship of these two expressions is Same Side, which means their sum is 180.

<u><em>plugging</em><em> </em><em>in</em></u>

108 + 4x + 16 = 180 | Given

124 + 4x = 180 | Add the numbers

4x = 56 | Subtract 124 from both sides

x = 14 | Divide both sides by 4

3 0
2 years ago
The table represents the function f (x) = 2 x + 1.
Salsk061 [2.6K]

Answer:

C

Step-by-step explanation:

In the table, we are given the points [ (-3, -5), (2, y), (5, 11), (8, 17) ]

We are given the equation [ f(x) = 2x + 1 ] where 2 = slope and 1 = y intercept.

We need to find the value of "y".

y2-y1/x2-x1

y-(-5)/2-(-3) = 2

y+5/5 = 2

y = 5

Best of Luck!

5 0
3 years ago
Read 2 more answers
1. The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75
ryzh [129]
If this were to be graphed, the independent variable would be the price of the ticket for the rides. The dependent variable would be the total cost.

The fair admission is not a variable because it is a constant price for every single person who goes into the fair.

The problem asks to use y to represent the total cost and x to represent the number of ride tickets. In order to fully write out the equation, we have to figure out what the fair admission costs.

43.75 = 1.25(25) + b

*b represents the fair admission

Multiply 1.25 by 25

43.75 = 31.25 + b

Subtract 31.25 to find what b costs.

12.50 = b

The fair admission costs $12.50.

Solution: y = 1.25x + 12.50

3 0
2 years ago
Read 2 more answers
I know the unit rate but don’t know the label.
guajiro [1.7K]

Miles per minute or miles per hour depending on how you did it.

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3 years ago
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