2 similar cardboards have areas of 24cm square and 150cm square. if the length of the bigger one is 10cm, what is the length of the smaller one​

Answer:

Width = 4 cm

Length = 8 cm

Step-by-step explanation:

Hi there!

Let [tex]l[/tex] be equal to the length of the rectangle.

Let [tex]w[/tex] be equal to the width of the rectangle.

1) Determine equations to find the length and width

We're given that the length is two times the length of the width:

[tex]l=2w[/tex]

We're also given that the area of the rectangle is 32 cm². Recall that the area of a rectangle is [tex]A=lw[/tex]:

[tex]A=lw\\32=lw[/tex]

Now, we have our two equations:

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

2) Solve for the width using substitution

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Replace [tex]l[/tex] in the second equation with [tex]2w[/tex] from the first equation:

[tex]32=(2w)w\\32=2w^2[/tex]

Divide both sides by 2 to isolate w²:

[tex]16=w^2[/tex]

Take the square root of both sides to isolate w:

[tex]\pm4=w[/tex]

Because width cannot be negative, w=4. Therefore, the width of the rectangle is 4 cm.

3) Solve for the length

[tex]\displaystyle \left \{ {{l=2w} \atop {32=lw}} \right.[/tex]

Now, that we have the width (4 cm), we can solve for the length by plugging it back into one of the equations. Either of the equations work, but we can use the first:

[tex]l=2w\\l=2(4)\\l=8[/tex]

Therefore, the length of the rectangle is 8 cm.

3) Draw the rectangle

We can use what you had before as a foundation. You drew a rectangle with width 4 cm and length 7 cm. To draw the correct rectangle, add another row on top to make it 4 cm by 8 cm.

I hope this helps!

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

Read more about exponents at; https://brainly.com/question/18248071

Answer:

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Step-by-step explanation:

The minimum value of the curve = (1.9, -5.7),

The maximum value = (0, 2)

The point the function crosses the x-axis (the x-intercept) = (-0.7, 0), (0.76, 0), and (2.5, 0)

The point the function crosses the y-axis (the y-intercept) = (0, 2)

The given points can be plotted using MS Excel, from which we have;

F(x) is less than 0 over the interval from x = -∞, to x = -0.7, and the interval from x = 0.76 to x = 2.5

The correct option is therefore, F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5)

Answer:

A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Step-by-step explanation:

Answer:

Answer:

Side = 2 * height / sqr root 3

Side = 2 * 6 * sqr root 3 / sqr root 3

Side = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

In a kite, the angles between the two non- congruent side have the same degree.

x = 114 degrees

In a quadrilateral the sum of the inner angles is 360 degrees

88 + (114 * 2) + y = 360

88 + 228 + y = 360

316 + y = 360

y = (360 - 316)

y = 44 degrees

Step-by-step explanation:

what does this problem description really say ? what is the area of that square ?

36 ?

s3×6 ?

s³×6 ?

5³×6 ?

2³×6 ?

(5×3)×6 ?

(2×3)×6 ?

and these are just the options that I can see right away without really thinking about it.

in any case, the solution is to draw the square root of the area, and then multiply the result by 4.

why ?

because the area of a square is the square of the length of one of its side - like for any rectangle the area is length×width, but in a square length = width, so the area is length×length = length².

therefore, sqrt(area) = sqrt(length²) = length.

and the perimeter of the square is the way all around the whole square (4 sides), which is then

length + length + length + length = 4×length

from all the possibilities I listed up there, only 36 and (2×3)×6 lead to nice round numbers.

as the area would be in both cases 36.

sqrt(36) = 6

and the perimeter would be 6×4 = 24

Answer:

x ≈ 14.7

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan73° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{48}{x}[/tex] ( multiply both sides by x )

x × tan73° = 48 ( divide both sides by tan73° )

x = [tex]\frac{48}{tan73}[/tex] ≈ 14.7 ( to the nearest tenth )

Answer:

The answer is 43.52 you're welcome

If the side of an equilateral triangle is 3.5cm. Perimeter od triangle is 10.5_ cm.

Answer: Perimeter = 10.5 cm

Step-by-step explanation:

Concept:

Here, we need to know what is an equilateral triangle.

An equilateral triangle is a triangle in which all three sides have the same length.

Perimeter = 3a

a = side length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

a = 3.5 cm

Given formula

Perimeter = 3a

Substitute the value into the formula

Perimeter = 3 (3.5)

Simplify

Perimeter = 10.5 cm

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8

Step-by-step explanation:

(16^3/2)^1/2

We know a^b^c = a^(b*c)

16 ^(3/2*1/2)

16 ^3/4

Rewriting 16 as 2^4

2^4^3/4

2^(4*3/4)

2^3

8

Answer:

About 4%

Step-by-step explanation:

6x10=60

52x20=1040

5x30=150

5x40=200

1x60=60

Total Points available:1510

Final Exam is 60 points

60/1510=0.0397

Bill before tax = $32

Tax = 10/100×32

= $3.2

Tip = 15/100×32

= $4.8

Total cost = 32 + 3.2 + 4.8

= $40

Answered by Gauthmath must click thanks and mark brainliest

Answer: 8 units

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so you can set AE and CE equal to each other, as well as BE and ED

2x=x+2

x=2

AC=2x+x+2

AC=3x+2

SUbstitute x

AC=3(2)+2

AC=6+2

AC=8

Answer:

20 and 55

Step-by-step explanation:

Let's assume, we have two numbers 'x' and 'y'.

Now, all we know is:

So we form two equations:

x + y = 75_____(i)

and x - y =  35

so, x = y+35 _____(ii)

Put the value of x from (ii) into (i)

x + y = 75

y + 35 + y = 75

2y = 40

y = 20

Put value of y back in (ii)

x = y+35

x = 20 + 35

x = 55

The first number is 20, and the second number is 55.

Given that the sum of two numbers is 75, one exceeds the other by 35, we need to find the numbers.

Let's assume the first number is x.

According to the problem, the second number exceeds the first by 35, so the second number can be expressed as (x + 35).

The sum of the two numbers is given as 75, so we can set up the equation:

x + (x + 35) = 75

Simplifying the equation, we get:

2x + 35 = 75

Subtracting 35 from both sides:

2x = 40

Dividing both sides by 2:

x = 20

Therefore, the first number is 20, and the second number is (20 + 35) = 55.

Learn more about numbers click;

https://brainly.com/question/24908711

#SPJ4

Answer:

what can i help u with

Step-by-step explanation:

The graph of x = |y| is as shown in the figure.

When we draw a vertical line, it intersects the graph at two points.

This means for the same value of x , we have two values of y.

Or in other words, for the same pre image, we have two images.

Hence it is not a function.

But for every value of x, we do have a value of y, hence it is a relation.

x = |y| is a relation but it is not a function

Answer:

:B

Step-by-step explanation:

hope that can help

Answer:

Step-by-step explanation:

0.9*2b = 1.8b

0.9*-1 = -0.9

So far we have 1.8b-0.9. It can't be simplified further.

Then, we add the 2nd part, -0.5b+1.

We have:

1.8b-0.9-0.5b+1. Next we combine like terms.

1.8b-0.5b = 1.3b.

-0.9+1 = 0.1

Then we put it together.

1.3b+0.1 is our answer.

Hope this helped! Have a nice day :D

Hi there!  

»»————-　★　————-««

I believe your answer is:

1.3b + 0.1

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\0.9(2b-1)-0.5b+1\\--------------\\\rightarrow 1.8b - 0.9 - 0.5b + 1\\\\\rightarrow 1.8b - 0.5b - 0.9 + 1\\\\\rightarrow \boxed{1.3b +0.1}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

See the table made based on the given values.

It is easy to note that the numbers in the distance column are same as numbers in the a - b column but all numbers being positive.

So we can say that:

Correct choice is C

Answer:

A) Histogram

Step-by-step explanation:

A) The first step would be to look at the purpose and use for each type of plotting method;

Dot Plot: Used to represent the distribution of data (for ex; #of Strawberries, Blueberries, and Raspberries.

Histogram: A histogram is used to summarize discrete or continuous data. In other words, it provides a visual interpretation of numerical data by showing the number of data points that fall within a specified range of values

Box Plot: Summerizes a set of data measured on an interval scale.

Best choice: Histogram- The reason why a histogram is the best representation of the student quartiles is because a histogram is used to summarize discrete or continuous data, and the given data is discrete

B)

To create your histogram you first have to create a frequency table like the one below;

On the vertical axis, place frequencies. Label this axis "Frequency".

On the horizontal axis, place the lower value of each interval. Label this axis with the type of data shown (Score, etc.)

Draw a bar extending from the lower value of each interval to the lower value of the next interval. The height of each bar should be equal to the frequency of its corresponding interval.

That's how it's done!

Answer:

this is only for part a: a histogram

Step-by-step explanation: a histogram is like a bar graph and instead of putting dots or X's just graph it its much easier

90

6+6=12

12+8=20

20+10=30

30+12=42

42+14=56

56+16+18=90

1+1+2+2+3+3+4+4+5+5+6+6+7+7+8+8+9+9+0+0 would equal to 90 if you break it down.

Hope this helps!

Have a great day :)

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.

Answer:

B

when you input the first value of y which is -2

-2+2=(4/5)(x+9)

0=(4x+36)/5

multiply both sides by 5

0=4x +36

4x =-36

divide both sides by 4

x=-9

if you like my answer mark as brainliest

Answer:

c

Step-by-step explanation:

Answer:

C. y - 7 < 2x - 6

Step-by-step explanation:

A. y + 7 < 2x + 6

0 + 7 < 2(0) + 6

7 < 0 + 6

7 < 6 —————- FALSE

B. y + 7 < 2x - 6

0 + 7 < 2(0) - 6

7 < 0 - 6

7 < -6 —————FALSE

C. y - 7 < 2x - 6

0 - 7 < 2(0) - 6

-7 < 0 - 6

-7 < -6 —————TRUE

D. y - 6 < 2x - 7

0 - 6 < 2(0) - 7

-6 < 0 - 7

-6 < -7 ————— FALSE

Answer:

In other words: The human body consists of some 37.2 trillion cells.

Step-by-step explanation:

can somebody explain how they got 37.2 trillion cells.!!!

please helpppp

Answer:

B

Step-by-step explanation:

the radii have to be cubed cause a volume is cubed

3^3:5^3

27:125

I hope this helps and sorry if it's wrong

Answer:

It is the last option.

Jordan needs 1 1/2 cups of diced chicken for 3 salads.

To make this easy for you.

1. start on the x axis which is number of salads.

2. Go to the number 3 (of the x axis which is the number of salads)

3. Find your way up to the point marked.

4. see what is your number in the y-axis (in this case it is 1 1/2.

Step-by-step explanation:

I hope it helps!

25 is your answer if i am sure, the question was confusing tho.

Answer: