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3 years ago

Roxanna buys an item with a normal price of $30, and uses a 20% off

Mathematics

1 answer:

natima [27]3 years ago

7 0

Answer:

6 dollars

Step-by-step explanation:

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OAB is a sector of a circle of radius 12 cm Angle AOB= 60º Work out the length of the arc B. Give your answer in terms of pie.

Debora [2.8K]

Answer:

Since 60° is one sixth of the entire circle (360°) it means that the length of arc B is 1/6 th of the circumference.

1/6 * (12 * 2π) = 4π

3 0

3 years ago

What is the solution to the system of equations?

elixir [45]

Answer:

No solution

Step-by-step explanation:

$-3x-4y-3z=-7\\2x-6y+2z=3\\5x-2y+5z=9\\\\$

Lets consider the equation 2.

Here we multiply the LHS and RHS with (-1).

$-3x-4y-3z=-7\\-(2x-6y+2z)=-3\\5x-2y+5z=9\\\\$

Hence,

$-3x-4y-3z=-7\\-2x+6y-2z=-3\\5x-2y+5z=9\\\\$

When we add the equations we get,

$0x+0y+0z=-10+9\\Hence,\\0=-1$

As 0 doesn't equal to -1, answer is d) No solution

6 0

3 years ago

Ticket for football final selling well, on Thursday 4/7 of the tickets are sold, on Friday 1/4 of the tickets are sold, What fra

sergij07 [2.7K]

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

4 0

2 years ago

Suppose a tub has the shape of an elliptical paraboloid given by z = ax2+by2 (where a, b are some positive constants). If a marb

Umnica [9.8K]

Answer:

It would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

Step-by-step explanation:

It would roll to the direction of maximum decrease, which is the -1 times the direction of maximum increase, which is given by the gradient of the function.

Since

$z = ax^2 + by^2$

For this case, the gradient of your function would be

$\nabla z = (2ax , 2by)$

And -1 times the gradient of your function would be

$-\nabla z = (-2ax , -2by)\\$

Then, at

$(1,1,a+b),\\x = 1 \\y = 1$

So it would go towards

$v = (-2a,-2b)$

The magnitud of that vector is

$|v| = 2\sqrt{a^2+b^2}$

and to conclude it would roll in this direction.

$\nu = (-a/\sqrt{a^2+b^2},-b/\sqrt{a^2+b^2})$

6 0

3 years ago

Write the following list of events as an expression and then simplify.

Gnom [1K]

Step-by-step explanation:

Initial expression = 80 + 78 + (-97) + 12

final expression = 170-97 ==> $73

4 0

3 years ago