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Arisa [49]
3 years ago
10

1) A rectangle has the lengths shown Find the perimeter of the rectangle.

Mathematics
1 answer:
maks197457 [2]3 years ago
3 0

Hi there! :)

\large\boxed{P = 32cm}

Find the perimeter by solving for y.

We know that a rectangle contains two pairs of parallel and congruent sides, therefore:

5y - 1 = 2y + 8

We can solve for y using this expression. Begin by subtracting 2y from both sides:

5y - 2y - 1 = 2y - 2y + 8

3y - 1 = 8

Add 1 to both sides:

3y - 1 + 1 = 8 + 1

3y = 9

Divide both sides by 3:

y = 3

Recall that the perimeter of a rectangle is:

P = 2l + 2w

Plug in the given expressions for the side lengths to find one equation:

P = 2(5y - 1) + 2(y - 1)

Simplify by distribution:

P = 10y - 2 + 2y - 2

Combine like terms:

P = 12y - 4

Plug in the solved value of y into this equation:

P = 12(3) - 4

P = 36 - 4

P = 32 cm.

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lara31 [8.8K]
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The effect of the dilation is that all the DIMENSIONS of the square
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Then, when you multiply (length x width) to get the area, you'd have

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and that's
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Here's an easy, useful factoid to memorize:

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_______________________________

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5 0
3 years ago
Please can anyone help me answer this question I'm really struggling with it
Anika [276]

Answer:

v =  {210cm}^{3}

Step-by-step explanation:

Formula for finding the volume of a triangular prism is given as:

v =  \frac{1}{2}  \times b \times h \times l

where,

b = breadth = 7cm

h = height = 6cm

l = length = 10cm

Thus,

v =  \frac{1}{2}  \times 7cm \times 6cm \times 10cm

v =  \frac{1}{2}  \times 420 {cm}^{3}

v  =  \frac{ {420cm}^{3} }{2}

v =  {210cm}^{3}

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3 years ago
You buy tomatoes at
Anna71 [15]

Answer:

Expression:

1.20p + 3.99p

Now subsitutute p with the number of pounds given for both tomato and pepper.

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3 years ago
Mike can be paid in one of two ways based on the amount of merchandise he sells: Plan A: A salary of $1,000.00 per month, plus a
Serggg [28]

Answer:

X > 21000

Step-by-step explanation:

Given the following :

Payment plans :

PLAN A:

salary = $1000 per month

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PLAN B:

salary = $1300 per month

Commision = 15% of sales in excess of $9,000

Hence, for plan B; 15% is paid after deducting $9000 from total sales

For what amount of monthly sales is plan B better than plan A if we can assume that Mike's sales are always more than $9,000.00?

That is ;

Plan B > plan A

Let total sales = x

Plan A:

$1,000 + 0.1x

Plan B:

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1300 + 0.15(x - 9000) > 1000 + 0.1x

1300 + 0.15x - 1350 > 1000 + 0.1x

0.15x - 50 > 1000 + 0.1x

0.15x - 0.1x > 1000 + 50

0.05x > 1050

x > 1050/0.05

x > 21000

6 0
3 years ago
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