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sattari [20]
3 years ago
11

A work shift for an employee at a restaurant consists of 10 hours. What fraction of the employee's work shift is represented by

6 hours?
Mathematics
2 answers:
Rus_ich [418]3 years ago
5 0
6/10

3/5

60%

.6

(all these are correct forms)
lutik1710 [3]3 years ago
5 0

Answer:

Fraction of work shift represented by 6 hours = 0.6

Step-by-step explanation:

Total work shift of employee = 10 hours

Time considered  to find fraction = 6 hours

Fraction of work shift represented by 6 hours =\frac{6}{10}=\frac{3}{5}=0.6=60 \%

Fraction of work shift represented by 6 hours = 0.6

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Write an equation for an ellipse centered at the origin, which has foci at (\pm8,0)(±8,0)left parenthesis, plus minus, 8, comma,
mario62 [17]

Answer:

The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

Step-by-step explanation:

The standard form of the equation of an ellipse with center (0 , 0) is

\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1 , where

  • The coordinates of the vertices are (± a , 0)  
  • The coordinates of the foci are (± c , 0) , where c ² = a² - b²  

∵ The ellipse is centered at the origin

∴ The center of it is (0 , 0)

∵ It has foci at (± 8 , 0)

- The coordinates of the foci are (± c , 0)

∴ c = ±8

∵ It has Vertices at (± 17 , 0)

- The coordinates of the vertices are (± a , 0)

∴ a = ±17

∵ c² = a² - b²

- Substitute the values of c and a to find b

∴ (8)² = (17)² - b²

∴ 64 = 289 - b²

- Add b² to both sides

∴ b² + 64 = 289

- Subtract 64 from both sides

∴ b² = 225

- Take √  for both sides

∴ b = ± 15

∵ The equation of the ellipse is \frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1

- Substitute the values of a and b in it

∴ \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1 ⇒ \frac{x^{2}}{289}+\frac{y^{2}}{225}=1  

∴ The equation of the ellipse is \frac{x^{2}}{(17)^{2}}+\frac{y^{2}}{(15)^{2}}=1

6 0
3 years ago
What is the approximate value of X? Round to the nearest tenth.
pychu [463]

Answer

Find out the value of x.

To prove

By using the trignometric identity

sin\theta = \frac{Perpendicular}{Hypotenuse}

 As given in the diagram.

\theta = 50 ^{\circ}

Perpendicular = x

Hypotenuse =  6

Put in the above identity

sin\ 50^{\circ} = \frac{x}{6}

sin\ 50^{\circ} = 0.77\ (Approx)

Put in the above

x = 6\times 0.77

x =  4.6 cm (Approx)

Therefore Option (c) is correct .

 

8 0
3 years ago
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grigory [225]

Answer:

200 / (3.14*(28/12)) = 27.3

Step-by-step explanation:

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State if the three numbers can be the measures of the sides of a triangle. Show your work
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Students were packed shoulder to shoulder in a gym for a pep rally. The students were in a rectangular shaped area of 7,500 ft2.
hram777 [196]

Answer: 1527

Step-by-step explanation:

Total Area = 7500 ft^2

Area covered by one student = Area of one circle

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r = radius of circle = 2.5/2 = 1.25 ft

Area covered by one student = π*1.25^2 = 4.91 ft^2

Number of students who can fit into total area = Total Area/Area covered by one student

Number of students who can fit into total area = 7500/4.91 = 1527.49

Hence the answer is 1527 students

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