Answer:
13 + 1.5x < 15 + 1.25x
Step-by-step explanation:
Mabel: 13 + 1.5x
Jenny: 15 + 1.25x
Less expensive to shop at Mabel's. Less than sign <.
13 + 1.5x < 15 + 1.25x
Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3
<em><u>Solution:</u></em>
Given that,
Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)
Here "times" represent multiplication
<em><u>The above sentence can be written mathematically as:</u></em>

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

Cancelling the common terms in numerator and denominator,

Multiplying terms in numerator and denominator,

Negative sign in numerator and denominator cancels each other

Reducing to lowest terms we get,

In decimal form we get,

Thus solution to given expression is 0.3
Answer:
x=5
Step-by-step explanation:
Answer:

Step-by-step explanation:
By definition,
and
. Since since
is negative,
must also be negative, and since
is positive, we must be in Quadrant II.
In a right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. The cosine of an angle in a right triangle is equal to its adjacent side divided by the hypotenuse. Therefore, we can draw a right triangle in Quadrant II, where the opposite side to angle theta is 8 and the hypotenuse of the triangle is 17.
To find the remaining leg, use to the Pythagorean Theorem, where
, where
is the hypotenuse, or longest side, of the right triangle and
and
are the two legs of the right triangle.
Solving, we get:

Since all values of cosine theta are negative in Quadrant II, all values of secant theta must also be negative in Quadrant II.
Thus, we have:
