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irina [24]
4 years ago
5

A circular cookie cutter has a 2.5 inch radius what is the area of a cookie cut from this cutter

Mathematics
1 answer:
scZoUnD [109]4 years ago
5 0
We know that

[area of circular cookie]=pi*r²
r=2.5 in
[area of circular cookie]=pi*2.5²----> 19.63 in²

the answer is
the area of circular cookie is 19.63 in²
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X^2 - 12x + 19 in the form of (x + a)^2 + b ???
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Answer:

( x-6)^2 -17

Step-by-step explanation:

X^2 - 12x + 19

we need it in given below form

(x + a)^2 + b

we know that

(x + a)^2 = x^2 + 2ax + a^2\\

lets convert that in same form

X^2 - 12x + 19 = x^2 + 2(-6)x + 19

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now

(x-6)^2 = x^2 + 2(-6)x + 36

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we add and subtract 36 in the above equation

so we have

x^2 + 2(-6)x + 19 + 36 -36

rearranging  it \

(x^2 + 2(-6)x  + 36) -36 + 19    (x^2 + 2(-6)x  + 36 =( x-6)^2)

=>( x-6)^2 -17

comparing the above equation to

(x + a)^2 + b

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( x-6)^2 -17

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3 years ago
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Sakura speaks 150150150 words per minute on average in hungarian, and 190190190 words per minute on average in polish. she once
son4ous [18]
The correct question is
<span>Sakura speaks 150 words per minute on average in hungarian, and 190 words per minute on average in polish. she once gave cooking instructions in hungarian, followed by cleaning instructions in polish. sakura spent 5 minutes total giving both instructions, and spoke 270 more words in polish than in hungarian. how long did sakura speak in hungarian, and how long did she speak in polish?</span>

Let
x------> total words spoken by sakura in hungarian------> 150 words /minute
y------>  total words spoken by sakura in polish-----------> 190 words /minute

we know that
(x/150)+(y/190)=5--------- > equation 1
y=270 +x-------------------- > equation 2
<span>substituting 2 in 1
(x/150)+(270+x)/190=5

</span><span>multiplying all the expression by (150)*(190)
</span>190x+150*(270+x)=5*190*150
190x+40500+150x=142500
340x=102000-------------- > x=300
x=300 ------------- > total words spoken by sakura in hungarian
y=270+x=270+300=570
y=570 ----------- > total words spoken by sakura in polish

the question is <span>how long did sakura speak in hungarian, and how long did she speak in polish?
</span>
y=570 words in polish-------------------> 190 words /minute

if 190 words-----------------------------> 1 minute
   570 words-------------------------- X
X=570/190=3 minutes
In polish Sakura spoke 3 minutes

x=300 words in hungarian-------------------> 150 words /minute

if 150 words-----------------------------> 1 minute
   300 words-------------------------- X
X=300/150=2 minutes

In hungarian Sakura spoke 2 minutes
8 0
3 years ago
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