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3 years ago

A flat rectangular piece of aluminum has a perimeter of 62 inches. The length is 15

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

6 0

Answer:

So, the required width of rectangular piece of aluminium is 8 inches

Step-by-step explanation:

We are given:

Perimeter of rectangular piece of aluminium = 62 inches

Let width of rectangular piece of aluminium = w

and length of rectangular piece of aluminium = w+15

We need to find width i.e value of x

The formula for finding perimeter of rectangle is: $Perimeter=2(Length+Width)\\$

Now, Putting values in formula for finding Width w:

$Perimeter=2(Length+Width)\\\\62=2(w+15+w)\\62=2(2w+15)\\62=4w+30\\62-30=4w\\4w=32\\w=\frac{32}{4}\\w=8$

After solving we get the width of rectangular piece :w = 8

So, the required width of rectangular piece of aluminium is 8 inches

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HELP WILL GIVE BRAINLIEST

SVEN [57.7K]

Answer:

5/8 = 20/32

Step-by-step explanation:

if you multiply the denominator and the numerator of 5/8 by 4 it will equal 20/32

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2 years ago

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Which are correct representations of the inequality...

KiRa [710]

Answer:

$-6x+15$

Step-by-step explanation:

$-3(2x-5)$

Distribute.

$-6x+15$

Add 5x and subtract 15 on both sides.

$-6x-5x$

$-1x$

Multiply -1 on both sides.

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3 years ago

6 is 3% of what number?

Aleks04 [339]

✡ Answer: 200 ✡

- - Solve:

✡ First we need to find the formula to solve:
$\frac{3}{100} * x=6$

✡ Now:
x is equal to: $\frac{100*6}{3}$


✡Now we are going to multiply $100*2$ to get our answer.

- - 100*2=200 

✡Hope this helps!✡

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3 years ago

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Sqaure root of 5 (u-1)(u^5+u^4+u^3+u^2+u+1)

Anna71 [15]

GIVEN:

$5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)$

remember:

$\sqrt{u} = {u}^{ \frac{1}{2} }$

And

${u}^{n} \times {u}^{m} = {u}^{n + m}$

SOLVE:

start by multiplying the factors:

$5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))$

simplify by combing like terms. Most terms subtract off, leaving:

$5( {u}^{6} - 1)$

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

$5( {u}^{3} - 1)( {u}^{3} + 1)$

I'm not exactly sure what form they want the answer in...

so taking the square root:

$\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }$

so my best answer is:

${5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }$
or the more factored form:

${5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }$

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!

7 0

3 years ago

Write an expression, involving exponents to represent the shaded area, in square inches of the diagram.

vodka [1.7K]

Answer:

The area is 21 inches

Step-by-step explanation:

3x3=9

3x2=6

9+6=15 ( inches in the white box )

6x6=36 ( area of the whole box)

36-15= 21 ( inches in the shaded area )

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3 years ago

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