MATHEMATICS HIGH SCHOOL

Carl drew a rectangle with a width of 8 in. And a length of 32 in. Which rectangles are not similar to Carl’s rectangle? Select ALL that apply.

Answers

Answer 1

Answer:

Answer:

1) A rectangle with width of 10 cm and length of 44 cm.

4) A rectangle with width of 9 mm and length of 45 cm.

Step-by-step explanation:

Given:

Length of the rectangle = 32 in.

Width of the rectangle = 8 in.

Now we will find the ratio of length by width.

$(length)/(width)= (32)/(8) = (4)/(1) \ \ \ \ equation \ 1$

Now we need to find from the given Option which rectangles are not similar to Carl's Rectangle.

So we will check for each.

1) A rectangle with width of 10 cm and length of 44 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (44)/(10) = (11)/(5) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $\neq$ equation 2

Hence This rectangle is not similar to Carl's rectangle.

2) A rectangle with width of 2.5 inch and length of 10 inch.

Now we will find the ratio of length by width.

$(length)/(width)= (10)/(2.5) = (4)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $=$ equation 2

Hence This rectangle is similar to Carl's rectangle.

3) A rectangle with width of 23 cm and length of 92 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (92)/(23) = (4)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of 2 corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $=$ equation 2

Hence This rectangle is similar to Carl's rectangle.

4) A rectangle with width of 9 mm and length of 45 cm.

Now we will find the ratio of length by width.

$(length)/(width)= (45)/(9) = (5)/(1) \ \ \ \ equation \ 2$

Now we know that;

"When ratio of the dimension of corresponding rectangles are equal then the 2 rectangles are said to be similar."

Now Comparing equation 1 and equation 2 we get;

equation 1 $\neq$ equation 2

Hence This rectangle is not similar to Carl's rectangle.

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What is the solution set of the equation 3x2 = 48 ?

Answers

Answer:

Step-by-step explanation:

6=48

15 Points! URGENT The blue line is the graph of y = –x + 3. Use the sliders to make the orange line represent y = –2x + 9. Examine the graph. What appears to be the solution of this system of equations?Verify the solution. Which true statement appears in your check?

Answers

Answer:

(6, -3) and -3 = -3

Step-by-step explanation:

I did it

Answer:

(6, -3) and -3 = -3

Step-by-step explanation:

Select the term for what a manufacture spends for goods and services A. cost B. price C. markup

Answers

cost is what manufactures spend for goods and services

Select the term for what a manufacture spends for goods and services Answer A. cost

What number is 0.4% of 20?

Answers

The solution is, 0.08 which is 0.4% of 20.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

to find the number which is 0.4% of 20.

so, we get,

let, the number be x

now, 20* 0.4% = x

or, 20/100= x/0.4

then cross multiply 20/250=x

x = 0.08

which 0.08

Hence, the answer is 0.08

To learn more on percentage click:

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