For this case we have to define trigonometric relations of rectangular triangles that:
- The cosine of an angle is given by the leg adjacent to the angle on the hypotenuse of the triangle.
- The sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle.
Then, according to the figure we have:

Answer:

Option D
Answer:

Step-by-step explanation:
Let that number be
. We can build an equation, and solve for
.
less than half of
is
.
more than
is
.
We are given that the two quantities are equal, so we have that
.
Adding
to both sides gives
.
Multiplying both sides by
gives
.
Subtracting
from both sides gives
.
Multiplying both sides by
gives
.
So, the number is
and we're done!
The check is left as an exercise to the reader.
Answer:
x= HJ+27/7
Step-by-step explanation:
HJ + 27 = 7x
HJ+27/7 = x
Assume the girls sold X boxes in the first week. They sold in the second week X+5 and 2X+10 in the third week.
The sum X + X + 5 + 2X + 10 = 431
4X = 416. Therefore X = 104
The answers are:
a0 = 104
a1 = 109
a2 = 218
Hope that helps you :)
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)