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3 years ago

Hello, here's the question :D

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer:

(examples) n = 2

n = 3

n = 4

Step-by-step explanation:

to demonstrate, all you do is select a number to represent 'n' and plug it in.

so for example, n = 2:

2(2) + 3(2) = 5(2)

4 + 6 = 10, which is true.

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Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun

Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is $l$ by $h$ , the width of the strip of floor is $w$ .

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

$l*h=420$ <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

$l= 32-2w$

$h=19-2w$

Therefore,

$l*h=420\\\\(32-2w)(19-2w)=420$

We expand this equation and get:

$4w^2-102w+608=420\\\\4w^2-102w+188=0$

using the quadratic equation we get two solutions:

$w=2\\w=23.5$

since the second solution, namely $w=23.5$ , is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take $w=2$ to be our solution.

Now we find the dimensions of the rug:

$l=32-2(2)=28\\\\h=19-2(2)=15$

The rug is 15 ft wide and 28 ft long.

8 0

4 years ago

Plsss help!!!!!!! #3 #4

AVprozaik [17]

Answer:

3) 162 ft² || 4) 38.25 mm²

Step-by-step explanation:

area of triangle = 0.5 * base * height

= 0.5 * 27 * 12

= 162 ft²

4) area of triangle = 0.5 * base * height

= 0.5 * 8.5 * 9

= 38.25 mm²

3 0

3 years ago

Read 2 more answers

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) 8?

Hunter-Best [27]

Step-by-step explanation:

It's answer is x_> -27 by using inequality rule

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2 years ago

Find the sum and express it in simplest form. (3a^2 + 2a) + (5a^-a -7)

fredd [130]

Answer:

8a^2+a-7

Step-by-step explanation:

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3 years ago

Decide whether a triangle with side lengths of sqr5, 5, and 5.5 is right, acute, or obtuse.

LUCKY_DIMON [66]

It is acute isosceles triangle

4 0

3 years ago