The area of a circle is found with the formula A = ?, where y represents 3.14. If a tile artistis placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet, what is
the approximate radius of the circle in feet?

Answers

Answer 1
Answer:

The approximate radius of the circle in feet is 14.5

Solution:

Given, a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet,

We have to find what is the approximate radius of the circle in feet?

The area of a circle is found with the formula \mathrm{A}=\mathrm{yr}^(2)

where "y" represents 3.14 and r is radius. So now, according to given information,

\begin{array}{l}{y r^(2)=658} \n\n {\rightarrow 3.14 * r^(2)=658} \n\n {\rightarrow r^(2)=209.55} \n\n {\rightarrow r=14.4759}\end{array}

Hence, the radius of the given circle is 14.5 feet approximately


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Pls help , need this done by tomorrow.

Answers

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is \pir^(2)h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Find the values of k that make 2x^(2)+kx+7 factorable.

Answers

1)\n(2x+1)(x+7)=2x^2+14x+x+7=2x^2+15x+7\ \ \Rightarrow\ \ k=15\n\n2)\n(2x-1)(x-7)=2x^2-14x-x+7=2x^2-15x+7\ \ \Rightarrow\ \ k=-15\n\n3)\n(2x+7)(x+1)=2x^2+2x+7x+7=2x^2+9x+7\ \ \Rightarrow\ \ k=9\n\n4)\n(2x-7)(x-1)=2x^2-2x-7x+7=2x^2-9x+7\ \ \Rightarrow\ \ k=-9\n\n\nAns.\ there\ are\ four\ solutions:\ k\in \{15;-15;9;-9\}
the values of k that make >      2x² + kx + 7     factorable
the values of k are      9 & 15
thus
(2x² + 9x + 7)  =      (2x + 7)(x+ 1)              k -9
(2x²  + 15x + 7)  =    (2x +1)(x+7)                K  =15

$1.12 for 8.2 ounces

Answers

To find the unit rate or how much one-ounce costs
You divide 
1.12/8.2
$0.14 For one ounce
What are you excactly asking

In the school band 6 over 24 of the members play the trumpet and simplest form where fraction of the band play the trumpet

Answers

the correct answer would be 1/4
So 6/24 of the band plays the trumpet, so we have to find a common multiplier to simplify the fraction. In this case, 6 can go into both of them because 1×6=6 and 6×4=24.

So our finished fraction is 1/4.

What is the area of the figure?

Answers

How would you rather do this . . . the  easy way or the hard way ?

The easy way ?  OK.  I can't imagine why you made that decision,
but I'll try to live with it.

The hard way would be to cut up the figure into at least three separate
pieces, find the area of each piece, and then add up the areas.

The easy way is to find the area of the whole big rectangle, without the
bite taken out of the top.  Then find the area of the bite, and subtract it
from the whole big rectangle.

-- Area of the whole big rectangle without the bite:
     Length = 14 cm
     Height = 12 cm
     Area = (length) x (height) = 168 cm²

-- Area of the bitten-out piece:
     Height = 7 cm
     What is the width ? ? ?
Well, the length of the whole top edge of the big rectangle has to be
the same as the length of the bottom edge ... 14 cm.
On the top edge, we see that (5 cm + width of the bite + 5 cm) = 14 cm.
So the width of the bite is (14 - 10) = 4 cm
       Area of the bite = (width) x (height) =  (4cm) x (7 cm) = 28 cm²

Area of the (big rectangle) minus the (missing piece) =

         (168 - 28)  =  140 cm²


How can I anwser this one? ?
4x2+16x=0

Answers

4x^2+16x=0

(4x^2+16x)/(4) =(0)/(4)

x^2+4x=0

x(x+4)=0

x=0

x+4=0

x+4-4=0-4

x=-4


x=-4,0
Divide each side of the equation by 4 :

x² + 4x = 0

Factor the left side:

x (x + 4) = 0

This equation is true if x=0 or if x=-4 , so those are the two solutions.