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emmasim [6.3K]
3 years ago
11

Does anyone know how to do the rest?​

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer/Step-by-step explanation:

Given:

\frac{4}{x} - \frac{3}{y} = 1 ---› Equation 1

\frac{8}{x} + \frac{9}{y} = 7 ---› Equation 2

Solution:

✔️Equation 1 × 3:

\frac{4}{x}*3 + \frac{3}{y}*3 = 1*3

\frac{12}{x} + \frac{9}{y} = 3 ---› Equation 3.

✔️Equation 2 + Equation 3:

\frac{8}{x} + \frac{9}{y} = 7 ---› Equation 2

\frac{12}{x} + \frac{9}{y} = 3 ---› Equation 3.

Thus:

\frac{-4}{x} = 10

Cross multiply

10x = -4

Divide both sides by 10

x = -\frac{4}{10}

x = -\frac{2}{5}

✔️Find y:

Substitute x = -2/5 into equation 1

\frac{4}{x} - \frac{3}{y} = 1 ---› Equation 1

\frac{4}{\frac{-2}{5}} - \frac{3}{y} = 1

\frac{4}*{\frac{5}{-2}} - \frac{3}{y} = 1

-10 - \frac{3}{y} = 1

Add 10 to both sides

- \frac{3}{y} = 1 + 10

\frac{-3}{y} = 11

Cross multiply

11y = -3

Divide both sides by 11

y = -\frac{3}{11}

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Brums [2.3K]

The area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2 option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

<h3>What is a circle?</h3>

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

\rm A = \frac{3\sqrt{3} }{2} a^2  where a is the side length.

\rm A = \frac{3\sqrt{3} }{2} 10^2 ⇒ 150\sqrt{3} \rm feet^2

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3} feet

The area of the circle a = \pi r^2  ⇒ \pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2  

The area of the shaded region = A - a

\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2

Thus, the area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2

Learn more about circle here:

brainly.com/question/11833983

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Read 2 more answers
On Friday, a fruit stand sold a total of 92 apples and oranges. On Saturday, the fruit stand sold four times the number of apple
andreev551 [17]

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Step-by-step explanation:

Let o be the number of oranges sold on Friday and

a be the number of apples sold on Friday

So,

A total of 92 was sold on Friday will yield the equation

a+o = 92

On Saturday,

4 times the number of apples = 4a

2 times the number of oranges = 2o

So,

4a+2o = 284

Hence,

The system of equations is:

a+o = 92\\4a+2o = 284

Option A : a+o = 92 , 4a+2o = 284 is the right answer

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/669100
  • brainly.com/question/663692

#LearnwithBrainly

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