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It's from (-1, 0].

If x is an integer, then [x] - x = 0.

If x is a decimal, then [x] - x is the negative of the fractional part of x.

 1/4   Of  1/2 the total are red boards

2/3    of  1/2 the total are red scooters

x = number of scooter + number of boards

1/4 * 1/2 x     +    2/3 * 1/2 x =

1/8x + 2/6x

3/24 x + 8/24 x  =  11/24 of the total scooters and boards are red

Volume = base area * height    for a cylinder

198 = 22 * height

height = 198 / 22 cm

3052.08

no it's wrong

The sum of external angles of any polygon is 360 degrees. Having a right angle contributes 90 degrees to the external angles, so there can only be a maximum of 3 right angles. (If there were 4, there wouldn't be room for any more angles.)

The sum of external angles of any polygon is 360 degrees. Having a right angle contribues 90 degrees to the external angles, so there can only be a maximum of 3 right angles. (if there were 4, there wouldn't be room for any more angles)

y = mx + b     m = slope = 10

Arc AB = 2 times the inscribed anlge    = 2 * 48

then AC = 360 - 118 - 2* 48 = 146 ^o

This was asked the other day.... from cphil:  with a prime number in the denominator you will always have a  nonterminating decimal

31/97 = 31/97 = 0.3195876288659794.......

Aww, thank you. :)))

=^._.^=

since BC is 118, that means that A is 59 degrees because of the inscribed angle theorem (i think thats the right theorem).

add A and C, which is 59 + 48, which is 107

since triangle angles add to 180, 180 - 107 is 73

because of the inscribed angle theorem again, AC is 146

pretty simple: divide both sides by 3/2, which makes z=6/3/2=6x2/3=4

Lets say Ricky has x hits, then Pedro has x+284 hits. this means that 2x+284=2690, and simplifying, we get x=1203. Hope this helps.

so if pedro is p, and ricky is r...

p + r = 2690

p = r + 284

therefore...

2r + 284 = 2690

2r = 2406

r = 1203

this means that

p = 1203 + 284 = 1487

p = 1487

r = 1203

if we double check this...

1487 + 1203 = 2690

Hint: Rewrite as $(x(x(x*x^{1/2})^{1/3})^{1/3})^{1/3}$ and use $x^a*x^b=x^{a+b}$ as well as $(x^a)^{b}=x^{ab}$.

Hint: We know that $\angle BAC=\frac12\cdot 118$. Then use that the sum of the angles in a triangle are $180$ and apply the inscribed angle theorem once more to finish. (I'll leave it to you to figure out where)

Hint: They have the same base radius $r$ and height $h$. The volume of a cone is $\frac{\pi r^2 h}{3}$, which is given as $5$, and we want $\pi r^2 h$ (volume of a cylinder).

Hint: Substitute $y=-x-8$ and put into the equation so you get a quadratic. In a quadratic equation, the equation has only one solution if the discriminant is $0$. In $ax^2+bx+c$, the discriminant is $b^2-4ac$. From here you should be able to solve for k. Good luck! 

The question asked for a reference triangle.

Remember that sin is opposite over hypotenuse, meaning that the side opposite to angle with measure $x$ is $8$ and the hypotenuse is $17$. Use the Pythagorean theorem to find the other side. Then, use that $\cot(x)=\frac{\cos(x)}{\sin(x)}$, recalling that $\cos=\frac{\text{adjacent}}{\text{hypotenuse}}$.

(Remember: Soh Cah Toa!)

Pick two points. Find the change in the x value, and the change in the y value. The slope is $\frac{\text{change in y}}{\text{change in x}}$. Remember that you need signs, if $x$ goes up it's $+1$, if $x$ goes down it's $-1$.

Let's take this table:

The initial value is the first value, i.e. $x=0$ and $y=1$.

The rate of change (for linear functions) is the difference between the $y$ values when the $x$ value changes by $1$. Looking closely, as $x$ goes up by $1$, $y$ goes up by $2$. The rate of change is $\frac{\text{change in y}}{\text{change in x}}=\frac{2}{1}=\boxed{2}$.

Hope this helped.

If the graph starts at x = 0     she is correct

Nope.

Take $y=x\{x\ge -1\}$, the initial value is $-1$ and the y-intercept is $0$.

The idea is to counter the misconception that "All graphs start at $x=0$".

10 + 9 = 19 ft  =  adjacent leg of right triangle  of 36 ^o  angle

Height =  19 tan 36^o =~  13.8 ft