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Charra [1.4K]
1 year ago
15

Need some help, kinda difficult

Mathematics
1 answer:
WINSTONCH [101]1 year ago
4 0

Since y is directly proportional (direct proportion) to x, the value of x when y = -7.93 is equal to 1.3.

<h3>What is a direct proportion?</h3>

Mathematically, a direct proportion is also referred to as direct variation and it can be represented with the following mathematical expression:

y = kx

Where:

  • y and x are the variables.
  • k represents the constant of proportionality.

Since y varies directly (direct proportion) with x, the variable x and y must remain in a constant ratio.

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 12.2/-2

Constant of proportionality (k) = -6.1

Now, we can determine the new value of x as follows:

k = y/x

x = y/k

x = -7.93/-6.1

x = 1.3

Read more on proportionality here: brainly.com/question/12866878

#SPJ1

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If 2 is subtracted from a number and this difference is tripled, the result is 6 more than the number. Find the number?
ikadub [295]
3(a-2)=6a \\ \\ 3a-6=6a \\ \\ 3a-6a= 6 \\ \\ -3a=6 \\ \\ \boxed{a=-\frac{6}{3}=-2}
3 0
3 years ago
An airplane climbs at an angle of 2.7" from an altitude of 4500 ft to an altitude of 5600 ft. How far does the airplane travel a
Dvinal [7]

Answer:

  23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

  5600 ft -4500 ft = 1100 ft

and the angle relation is ...

  tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

   horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

  horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

4 0
3 years ago
Mr. Wilson has $2,500 in his savings account and m dollars in his checking account Write an expression that describes the total
marissa [1.9K]

Expression: 2500 + m

Just substitute m with 300 and solve like that.

2500 + 300 = 2800

5 0
3 years ago
The area of a triangle is 25 square Inches, base Inches. What is its helght (a) ? Use the formula A triangle = 1/2 ba
Alecsey [184]

Answer:

50/b in

Step-by-step explanation:

Use the area formula A = (1/2)(base)(height).

Here the area A is given and is 25 in^2; the base is not given, so use 'b.'

Then, since A = (1/2)(base)(height),

(height) = 2A/(base) = 2(25 in^2)/b = 50/b in

7 0
3 years ago
Find the value of each variables
BigorU [14]

Answer:

<em>X=11</em>

<em>y=22</em>

Step-by-step explanation:

tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }

⇒x=11

Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }

⇒ y=22

<u>hope it helps....</u>

8 0
3 years ago
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