Answer:
the government or district
Step-by-step explanation:
Answer:
a) $926.40
b) $606.32
Step-by-step explanation:
a)
If she worked a total of 45.5 hours, she will receive $19.20 per hour in the first 40 hours and 1.5 * $19.20 for the exceeding 5.5 hours, so her earnings is:
19.2 * 40 + 1.5 * 5.5 * 19.2 = $926.40
b)
The deduction is $34.75, so the remaining will be:
926.40 - 34.75 = $891.65
Then, after this deduction, the taxes is 32% of the remaining, so:
891.65 - 0.32 * 891.65 = $606.32
She received $606.32
<span>A quarter of the marbles are red, so there are 124/4 = 31 red marbles. The rest are blue, so there are 124 - 31 = 93 blue marbles.</span>
We want to make x^2-3x into a perfect square trinomial. An example of such a trinomial is x^2 + 6x + 9, which is equivalent to the square of (x+3).
From x^2-3x we see that the coefficient of x is -3. Divide this coefficient, -3, by 2, obtaining -3/2. Now square this result: square -3/2. Result: 9/4.
Adding 9/4 to x^2-3x makes x^2-3x into a perfect square trinomial.
Answer:
The other leg of the triangle is 12.
Step-by-step explanation:
Given:
Hypotenuse of triangle is 13 and a leg(Leg1) is 5.
Let, the other leg of the triangle (Leg2) be 
.
Now, putting the formula:
⇒ 
⇒
⇒
⇒
Taking square root both sides
⇒
⇒
.
Therefore, the other leg of the triangle is 12.
