Suppose that your net income for the month is $1,500 and that your total expenses are $2,500

Mathematics

1 answer:

Aleks [24]3 years ago

6 0

Answer:

You will need to double your net income in order to make a profit.

Step-by-step explanation:

1500 x 2 = 3000 - 2500 = 500 which is 500 dollars profit

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Triangle ABC is an equilateral triangle.Find the angle of rotation that maps A to B

svet-max [94.6K]

The sum of the inner angles of any triangle is always 180°, i.e. you have

$\alpha + \beta + \gamma = 180$

In the particular case of an equilater triangle, all three angles are the same, so

$\alpha = \beta = \gamma$

and the expression becomes

$\alpha + \beta + \gamma = \alpha + \alpha + \alpha = 3\alpha = 180$

which implies $\alpha = 60$

So, if you rotate the triangle with respect to its center by 60 degrees, the triangle will map into itself. In particular, if you want point A to be mapped into point B, you have to perform a counter clockwise rotation of 60 degrees with respect to the center of the triangle.

Of course, this is equivalent to a clockwise rotation of 120 degrees.

Finally, both solutions admit periodicity: a rotation of 60+k360 degrees has the same effect of a rotation of 60 degrees, and the same goes for the 120 one (actually, this is obvisly true for any rotation!)

3 0

2 years ago

The dogs in an animal parade are grouped by size. There are 18 small dogs, 12 medium-sized dogs, and 10 large dogs. If one dog i

ruslelena [56]

Answer:

0.3

Step-by-step explanation:

Given:

Number of small dogs = 18

Number of medium-sized dogs = 12

Number of large dogs = 10

To find: probability that a medium-sized dog will be chosen