The diameter of a circle is 3 centimeters. What is the circumference?

Select the correct answer from each drop-down menu.

kati45 [8]

Answer:

3, 3, -60

Step-by-step explanation:

The area of a rectangle is equal to the product of its length and width. So, to create an equation representing the area of this rectangle, multiply the length, , and the width, , and set the product equal to the area, 54.

Then rewrite the equation using the distributive property, and move all terms to the left side of the equation.

So, the equation to find the value of n is .

3 0

4 years ago

Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3. (5 points)

OLEGan [10]

Answer:

From given option , the equation of parabola is y = negative x² divided by 12

Step-by-step explanation:

Given as for parabola :

The focus is at (0 , - 3)

The directrix equation is y = 3

Now, equation of parabola parallel to y-axis is

( x - h )² = 4 p ( y - k )

where focus is ( h , k+p ) and directrix equation is y = k - p

So, from equation

h = 0 and k + p = - 3

And y = k - p i.e k - p = 3

Now solving ( k + p ) + ( k - p ) = - 3 + 3

or, 2 k = 0 ∴ k = 0

Put the value of k , k + p = - 3

So, 0 + p = - 3 ∴ p = - 3

Now equation of parabola with h = 0 , k = 0 , p = - 3

( x - h )² = 4 p ( y - k )

I.e ( x - 0 )² = 4 × ( - 3 ) ( y - 0 )

Or, x² = - 12 y is the equation of parabola

Hence From given option , the equation of parabola is y = negative x² divided by 12 Answer

7 0

3 years ago

Solve the system of equations using substitution<br> 4x + 2y = 16<br> =−12+5

mario62 [17]

Answer:

$x=\frac{70}{11},\:y=\frac{20}{11}$

Step-by-step explanation:

$\begin{bmatrix}4x+2y=16y\\ y=-\frac{1}{2}x+5\end{bmatrix}$

$\mathrm{Substitute\:}y=-\frac{1}{2}x+5$

$\begin{bmatrix}4x+2\left(-\frac{1}{2}x+5\right)=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

$Simplify$

$\begin{bmatrix}3x+10=16\left(-\frac{1}{2}x+5\right)\end{bmatrix}$

Isolate x for 3x+10=16(-1/2x+5): $x=\frac{70}{11}$

$\mathrm{For\:}y=-\frac{1}{2}x+5$

$\mathrm{Substitute\:}x=\frac{70}{11}$

$y=-\frac{1}{2}\cdot \frac{70}{11}+5$

$-\frac{1}{2}*\frac{70}{11}+5=\frac{20}{11}$

$y=\frac{20}{11}$

$\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}$

$x=\frac{70}{11},\:y=\frac{20}{11}$

3 0

3 years ago

Will give brainliest

ehidna [41]

Answer:

25.047 or roughly 25.

Step-by-step explanation:

I solved it wrong the first time then i double check with wolframalpha and got the correct number.

We know that the area of the tile is 18 $\sqrt{3}$ and it makes a triangle, we also know the base and height. In this case the base is 2 $\sqrt{3}^{x/12}$ and the height is also given which is $\sqrt{3}^{\frac{x}{6} }$ .

Area of triangle = $\frac{bh}{2}$ ,

substituting we will end up with 18 $\sqrt{3}$ =( 2 $\sqrt{3}^{x/12}$ * $\sqrt{3}^{\frac{x}{6} }$ ) / 2

Here is the tricky part $\sqrt{x} = x^{\frac{1}{2} }$ , i totally forgot about that lol.

Simplifying: we will get 18 $\sqrt{3}$ = $3^{\frac{x}{8} }$

Now, in order to find the x, we will need to take the log of both sides.

$log18\sqrt{3} = \frac{x}{8} log3$

Solving for x we end up getting:

$8\frac{log18\sqrt{3} }{log3}$ = x

where x = 25.047.

To be honest I deserve a nobel prize not a brainliest lol.

Good question bro, take it easy.

5 0

3 years ago

A bag contains 3 white marbles and 6 black marbles. You pick out a marble, record its color, and put the marble back in the bag.

VARVARA [1.3K]

24 times you'd theoretically draw a black marble.
There is 9 marbles in the bag. Out of the 9, 6 are black so you have a $\frac{6}{9}$ chance to draw a black marble. $\frac{6}{9}$ multiplied my 36 is 24.(For this short cut, you multiply the favorable event's probability by the number of trials.)

3 0

4 years ago

The diameter of a circle is 3 centimeters. What is the circumference?​

The diameter of a circle is 3 centimeters. What is the circumference?