Begin by following the herd . . . call the two numbers 'x' and 'y' .
You said that xy=1 , so y = 1/x
You said that x + y = 10, so x + 1/x = 10
Multiply each side by 'x': x² + 1 = 10x
Subtract 10x from each side: x² - 10x + 1 = 0
Use the quadratic formula to solve this, and the two solutions
that you get for 'x' are also the two numbers 'x' and 'y' .
They are
<em>9.89898</em>
and
<em>0.10102</em>
(rounded)
Answer:
C.
Step-by-step explanation:
Divide 250 and 7...................
Answer: 359 ft
<u>Step-by-step explanation:</u>
Whenever you have a problem like this, you must first make an assumption that the building (in this case the lighthouse) is perpendicular to the ground (or sea). This allows you to create a right triangle (see attached image).
The angle of depression is the angle from an imaginary perpendicular line passing through the top of the building. Since that imaginary line is parallel to the ground (or sea), you can use alternate interior angles to place that angle in the triangle.
NOTE: BOTH angle of elevation and angle of depression are placed in the lower corner of the triangle. Don't let the names confuse you!
Now you can use trigonometry to solve ....
In the given problem, we have the side OPPOSITE of the given angle (24°) and need the side ADJACENT to the angle, so we will use tan to solve for x.

Answer:
ratios are not all equal, the total number of coupons given away is not proportional to the number of hours worked on Sunday.
Step-by-step explanation:

[scomposition of 45]

[9 = 3^2, must use this notation (not 3*3)]

[We appy one of the proprieties of square roots]

[now we semplify: we must take out as much as possible all the elements under roots]
[to do that, we must divide the esponent of each element with the index of square roots (2)]
so
, 2/2 = 1
, 1/2 = 0 with 1 of rest
, 5/2 = 2 with 1 rest
[well, after do that, we can take out the elements under tbhe square roots!]
The quotient of each division is the esponent of the element out of the root
The rest of each division is the esponent of the element under the root
so:
(quotient = 1, see the first operation) *
(rest = 1, see the second operation) *
(quotient = 2, see the third operation) *
(rest = 1, see the third operation)
The final result is:
3 (=3^1) * a² * √5 * √a
3a²√5a
It's more intuitive and easy, but the explanation (necessary) is very long. If you have other questions, ask me here in the comments! Also sorry for my english, not so good!