When you simpilfy a fraction you make it smaller. When you divide a number you make it smaller.
Ex: 5 /5 1
_ = _
10 /5 2
If the sides are in the ratio of 11:16:24, it means that they are all multiples of a same number x, according to these factors.
So, the shorter side is 11x feet long, the middle one is 16x feet long, and the longest side is 24x feet long.
This means that the perimeter is
feet long. But we know that this is 510 feet, so we have
.
So, the three sides are 110, 160 and 240 feet long.
To find the area of a triangle knowing its three sides, you can use Heron's formula, which states that, if is half the perimeter of the triangle whose sides are , the area is given by
In our case, so the formula becomes
Units. I believe have an amazing day you amazing person
Answer:
a. Weekly Gross pay:
= 9.50 * 20
= $190
b. Federal tax withheld:
= 10% * 190
= $19
c. FICA Tax withheld:
= 5.65% * 190
= $10.74
d. State tax withheld:
= 5% * 190
= $9.50
e. Weekly net pay
= Gross pay - taxes
= 190 - 19 - 10.74 - 9.50
= $150.76
f. Percentage withheld for taxes:
= (19 + 10.74 + 9.50) / 190 * 100%
= 20.7%
We are given with the function <span>(sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (</span>sinx)(1-sin x )/(1 + <span>sinx)(1-sin x). Then we convert the expression into </span>(<span>sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.</span>