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2 years ago

Can someone help me with these 2 polygons and how to figure out a circumference

Mathematics

1 answer:

Svetlanka [38]2 years ago

7 0

The circumference of a circle is found by using the equation: C= 2 x PI x r

Both circles have r = 1

Circumference = 2x 3.14 x 1 = 6.28.

Diameter is 2 times the radius= 2x1= 2

The ratio of the circumference to the diameter = 6.28 / 2 = 3.14 which is the value of PI

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Reed uses 8 pieces of glass per square foot to make a stained glass window. How many pieces of glass will he need to make a wind

laiz [17]

To solve the problem posed in the statement we need to know the equivalence between squared foot and squared inches, and that is:
1 square foot = 144 square inches
So Reed uses 8 pieces of glass per 144 squared inches as well.
Now we can use a rule of three, simple and direct proportion to solve the question, it goes like this:
144 squared inches ------> 8 pieces glass
864 squared inches ------> x

x = (864)(8)/144
x = 48
Hence, Reed will use 48 pieces of glass to make a window that is 864 square inches.

8 0

3 years ago

For what value of k are the roots of the quadratic equation kx (x-2)+6=0 equal?

ser-zykov [4K]

Answer:

$\boxed{\sf k=6}$

Step-by-step explanation:

$\sf kx (x-2)+6=0$

Expand brackets.

$\sf kx^2 -2kx+6=0$

This is in quadratic form.

$\sf ax^2 +bx+c=0$

Since this is for equal roots:

$\sf b^2 -4ac=0$

$\sf a=k\\b=-2k\\c=6$

$\sf (-2k)^2 -4(k)(6)=0$

$\sf 4k^2-24k=0$

$\sf 4k(k-6)=0$

$\sf 4k=0\\k=0$

$\sf k-6=0\\k=6$

Plug k as 0 to check.

$\sf \sf 0x^2 -2(0)x+6=0\\6=0$

False.

So that means k must equal 6.

3 0

3 years ago

Helppp!!!!!

gladu [14]

Answer:

fyi b's answer has imaginary numbers in it...

Imaginary: 1 + $\frac{\sqrt{2i} }{2 }$

Imaginary: 1 - $\frac{\sqrt{2i} }{2 }$

Step-by-step explanation:

$2x^{2} - 4x -3 = 0$

$\sqrt{-4^{2} -4(2)(3)}$ = $\sqrt{-8}$ ... the negative root will produce imaginary solutions

8 0

2 years ago

Read 2 more answers

ivolga24 [154]

Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:

a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a

simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.

3 0

2 years ago

Sin2alpha+cos2alpha-cos6alpha/sin4alpha+2sin²alpha-1<br><br> if alpha is -135°

balandron [24]

Answer:

$= \frac{\sin(2 \alpha ) + \cos(2 \alpha ) - \cos(6 \alpha ) }{ \sin(4 \alpha ) + 2 { \sin }^{2} \alpha - 1} \\ = \frac{ \sin( - 270) + \cos( - 270) - \cos( - 810) }{ \sin( - 540) + 2 { \sin }^{2}( - 135) - 1 } \\ = \frac{1}{ - 2} \\ = - 0.5$

5 0

2 years ago