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spin [16.1K]
3 years ago
8

The length of a rectangle is 4x+1 and the width is 2x+5. Write an expression and simplify it in terms of x: whats the perimeter

of the rectangle and whats the area of the rectangle
Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer: ( P - 10 )/12, (2x + 5)(4x + 1)

Step-by-step explanation:

The length of the rectangle = 4x + 1,

The breadth = 2x + 5

Formula for finding perimeter of a rectangle, = 2( L + B )

Now, substitute for L and B in the formula, open the formula and simplify,

= 2(4x + 1 + 2x + 5 )

= 2(6x + 5 )

= 12x + 10

Therefore, the perimeter (p)of the rectangle, = 12x + 10.

If P = 12x + 10

12x = P - 10

x = ( P - 10 )/12

Area of a rectangle = L x B

=( 4x + 1 )( 2x + 5)

We therefore open the brackets

(4x + 1)(2x + 5)= 4x X 2x + 4x X 5+ 1 X 2x + 1 X 5

= 8x² + 20x + 2x + 5

A = 8x² + 22x + 5

A = (2x + 5)(4x + 1)

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Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 363636 feet^3 3 cubed. Syrus isn't sure if
stealth61 [152]

Answer:

The height of the tent = 3 feet

Step-by-step explanation:

Question

Syrus is buying a tent with the dimensions shown below. The volume inside the tent is 36 feet^3. Syrus isn't sure if the tent will be tall enough for him to sit up inside. The tent is the shape of triangular prism whose length is 6 feet and width is 4 feet. What is the height of the tent?

Given:

Length of the tent = 6 feet

Width of the tent = 4 feet

Volume of the tent = 36 feet^3

To find the height of the tent.

Solution:

Since the ten is in shape of triangular prism, so the volume of traingular prism is given as:

V=\frac{1}{2}\times l\times w\times h

where l represents length, w represents width and h represents height of the prism.

Plugging in the know values of the dimension of the tent and the volume to find the height of the tent.

36=\frac{1}{2}\times 6\times 4\times h

Simplifying.

36=12h

Dividing both sides by 12.

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5 0
4 years ago
Read 2 more answers
Find the missing side length
o-na [289]

is it Possibly 3 yards?

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4 years ago
Guys help please I am struggling
alina1380 [7]

9514 1404 393

Answer:

  14.1 years

Step-by-step explanation:

Use the compound interest formula and solve for t. Logarithms are involved.

  A = P(1 +r/n)^(nt)

amount when P is invested for t years at annual rate r compounded n times per year.

Using the given values, we have ...

  13060 = 8800(1 +0.028/365)^(365t)

  13060/8800 = (1 +0.028/365)^(365t) . . . . divide by P=8800

Now we take logarithms to make this a linear equation.

  log(13060/8800) = (365t)log(1 +0.028/365)

Dividing by the coefficient of t gives us ...

  t = log(13060/8800)/(365·log(1 +0.028/365)) ≈ 0.171461/0.0121598

  t ≈ 14.1

It would take about 14.1 years for the value to reach $13,060.

8 0
3 years ago
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