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Zinaida [17]
3 years ago
12

Calculate the area, with the appropriate number of significant figures, of a rectangular room that is 14.10 m wide by 15.0 m lon

g. A. 212 m^2 B. 211.5 m^2 C. 29.1 m D. 29.10 m
Mathematics
1 answer:
Paladinen [302]3 years ago
6 0
<h3>Answer: Choice A) 212 square meters</h3>

========================================================

Explanation:

14.10 has four sig figs. The 0 at the end is significant. This measurement is accurate to the hundredths place. If the author wrote 14.1, then it would be accurate to the tenths place with three sig figs.

15.0 has three sig figs. The 0 is significant. If they wrote 15 or 15. then we'd be dealing with 2 sig figs instead; however they placed the 0 there to tell the reader "this measurement is accurate to the tenths place"

---------------------

Multiply the values given

14.10*15.0 = 211.5

Round that to three sig figs. We pick the smaller sig fig count to round to since we cannot be certain it is accurate to four sig figs. In a sense, we pick the weakest link and use that to determine rounding when it comes to multiplication and division.

This means 211.5 rounds to 212

You might be interested in
If the original quantity is 10 and the new quantity is 6, what is percent increase
Ad libitum [116K]

Answer:

Using the percentage difference formula you can find the percentage decrease.

SO its

100(new-old/new)

So we solve

10-6=4

4/10= 2/5

2/5*100=200/5

40

40 percent decrease

3 0
2 years ago
A picture frame can hold a photograph that is 16 inches long and 12 inches wide. What is the area of the photo that fits the fra
yulyashka [42]

Answer: The area of the photo that fits the frame is 192 square inches.

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a rectangle (A) = Length x width

Replacing with the values given and solving for A (area):

A = 16 x 12 = 192 in2

The area of the photo that fits the frame is 192 square inches.

Feel free to ask for more if needed or if you did not understand something.

5 0
3 years ago
Graph a triangle (STU) and reflect it over the y-axis to create triangle ST'U'.
lukranit [14]

The x-coordinates of \triangle S'T'U' will be the negation of the x-coordinates of \triangle STU

The line segment from S to the y-axis equals the line segment from S' to the y-axis. Similarly, the line segment from T to the y-axis equals the line segment from T' to the y-axis

See attachment for \triangle STU and \triangle S'T'U'

In order to solve this question, I will make the following assumptions.

Assume that the coordinates of \triangle STU are

S = (4,5)      

T = (5,9)

U=(3,8)

Refer to attachment for illustrations

<u>(1) Reflect </u>\triangle STU<u> over y-axis and describe the transformation</u>

To reflect \triangle STU across the y-axis, the following rule must be followed

(x,y) \to (-x,y)

This means that:

S = (4,5) \to S' = (-4,5)

T = (5,9) \to T' = (-5,9)

U=(3,8) \to U'=(-3,8)

<u>The description of the </u><u>transformation </u><u>is as follows:</u>

Notice that the signs of the x-coordinates \triangle STU and \triangle S'T'U' of both triangles are different.

In other words, if the x-coordinate of one is positive, then the other will have a negative x-coordinate; and vice versa.

<u>(2) Compare the segments and the line of reflection</u>

To reflect across the y-axis means that the reflecting line is the y-axis, itself.

The distance between a point to the y-axis is the absolute value of the x-coordinate.

So, the distance between S and the y-axis is:

S = |4| = 4

The distance between S' and the y-axis is:

S' = |-4| = 4

We can conclude that the two line segments are equal.

This is the same for other point T and T' because of the formula used above.

<u>From T and T' to the y-axis is:</u>

T =|5| =5

T' =|-5| =5

Read more at:

brainly.com/question/938117

8 0
2 years ago
Factor Completely'''​
vekshin1

Answer:

4x^2(x-2)(x+6)

Step-by-step explanation:

Factor 4x^2

4x^2(x^2)+4x^2(4x)-4x^2(-12)

4x^2(x^2+4x-12)

4x^2(x-2)(x+6)

<em>good luck, hope this helps :)</em>

5 0
3 years ago
Simplify (-32) ÷ (-4)
Keith_Richards [23]

\bold{Hey\ there!}

\bold{Guide\downarrow}

\bold{Negative} & \bold{Negative} =\bold{Positive}

\bold{Positive} & \bold{Negative} = \bold{Negative}

\bold{Positive} & \bold{Positive} = \bold{Positive}

\bold{Negative} & \bold{Positive} = \bold{Negative}

\bold{(-32)\div(-4)}

\bold{=32\div4}

\bold{=8}

\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

3 0
3 years ago
Read 2 more answers
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