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3 years ago

15

Nita is going to use 12 ft of wire to make 8 bracelets. She will use the same amount of wire for each bracelet. How much wire wi

ll she use to make each bracelet? Simplify the answer if possible.

1 answer:

astra-53 [7]3 years ago

6 0

The answer is 1.5ft.

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The length of the rectangle is x cm. The length of a diagonal of the rectangle is 8 crn. The perimeter of the rectangle is 20 cm

klemol [59]

Answer:

$x^2-10x+18=0$

<em>a</em> = -10 and <em>b</em> = 18.

Step-by-step explanation:

Let <em>w</em> represent the width of the rectangle.

We are given that the perimeter of the rectangle is 20 cm, this means that:

$20=2(x + w)$

Let's put <em>w</em> in terms of <em>x</em>. Divide both sides by two:

$10=x+w$

And solve for <em>w:</em>

<em /> $w=10-x$ <em />

So, the rectangle measures <em>x</em> by (10 -<em> x</em>) cm.

<em />

According to the Pythagorean Theorem:

$a^2+b^2=c^2$

<em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse.

Substitute <em>x</em> for <em>a, w</em> for <em>b</em>, and 8 for <em>c:</em>

<em /> $x^2+w^2=8^2$ <em />

Simplify and substitute:

$x^2+(10-x)^2=64$

Square:

$x^2+(100-20x+x^2)=64$

Isolate the equation. So:

$2x^2-20x+36=0$

Since the leading coefficient is one, divide both sides by two:

$x^2-10x+18=0$

Therefore, <em>a</em> = -10 and <em>b</em> = 18.

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2 years ago

A container contains water at temperature 80 degree celcius. After every 10 minutes, the change in temperature is - 4 degree cel

lilavasa [31]

For this case, the first thing we must do is define variables.
We have then:
x: number of minutes
y: final temperature
We write then the equation that models the problem:
$y = (-4/10) x + 80
$
For y = 20 we have:
$20 = (-4/10) x + 80
$
Clearing x:
$(4/10) x = 80 - 20

x = (10/4) * 60

x = 150$
Answer:
The temperature of the water will be 20 degree celcius after 150 minutes

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3 years ago

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madreJ [45]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

For what value of x is 1/2 x = -9<br><br> x = 18<br> x= -4<br> x=-18<br> x= -36

Luda [366]

Answer:

x = -18

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Multiply 2 to both sides:

(x/2) * 2 = (-9) * 2

x = -9 * 2

x = -18

x = -18 is your answer.

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3 years ago

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