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2 years ago

6

Use the grid to draw three different rectangles so that each has an area of 12 square units and they all have different widths.

What are the dimensions of the rectangles?

2 answers:

Ymorist [56]2 years ago

6 0

What numbers multiply to 12?
1 and 12
2 and 6
3 and 4

A rectangle with each of these dimensions will have an area of 12.

mamaluj [8]2 years ago

4 0

Answer:

1,2,3,4,6,12

Step-by-step explanation:

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What is lcm of 20 and 26

7nadin3 [17]

The answer is 260 for the LCM

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3 years ago

Read 2 more answers

A man is five times as old as his son. Four years ago the man was thirteen times as old as his son.

skad [1K]

Answer:

Age of son = 6 years

Age of man = 5×6 = 30 years

Step-by-step explanation:

<u>GIVEN :-</u>

A man is 5 times as old as his son. (In Present)
4 years ago , the man was 13 times as old as his son

<u>TO FIND :-</u>

The present ages of the man & his son.

<u>SOLUTION :-</u>

Let the present age of son be 'x'.

⇒ Present age of man = 5x

4 years ago ,

Age of son = (Present age of son) - 4 = x - 4

Age of man = (Present age of man) - 4 = 5x - 4

The man was thirteen times as old as his son. So,

$=> 5x - 4 = 13(x - 4)$

Now , solve the equation.

Open the brackets in R.H.S.

$=> 5x - 4 = 13x - 52$

Take 5x to R.H.S. and -52 to L.H.S. Also , take care of their signs because they are getting displaced from L.H.S. to R.H.S. or vice-versa.

$=> 13x - 5x = 52 - 4$

$=> 8x = 48$

Divide both the sides by 8

$=> \frac{8x}{8} = \frac{48}{8}$

$=> x = 6$

<u>CONCLUSION :-</u>

Age of son = 6 years

Age of man = 5×6 = 30 years

8 0

2 years ago

What is the equation, in slope-intercept form, of the line that is perpendicular to the line

NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

4 0

3 years ago

Geometric sequences HELP ASAP!

Pani-rosa [81]

Given:

The table for a geometric sequence.

To find:

The formula for the given sequence and the 10th term of the sequence.

Solution:

In the given geometric sequence, the first term is 1120 and the common ratio is:

$r=\dfrac{a_2}{a_1}$

$r=\dfrac{560}{1120}$

$r=0.5$

The nth term of a geometric sequence is:

$a_n=ar^{n-1}$

Where a is the first term and r is the common ratio.

Putting $a=1120, r=0.5$ , we get

$a_n=1120(0.5)^{n-1}$

Therefore, the required formula for the given sequence is $a_n=1120(0.5)^{n-1}$ .

We need to find the 10th term of the given sequence. So, substituting $n=10$ in the above formula.

$a_{10}=1120(0.5)^{10-1}$

$a_{10}=1120(0.5)^{9}$

$a_{10}=1120(0.001953125)$

$a_{10}=2.1875$

Therefore, the 10th term of the given sequence is 2.1875.

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2 years ago

If one bottle of soda costs .99, how much do three bottles cost? how much do they cost with 5% tax added on?

bija089 [108]

3 sodas cost $2.97 +.15 tax total $3.12

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3 years ago