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Tcecarenko [31]
3 years ago
12

Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:

<u></u>

  • <u>Yes, she has enough water.</u>

Explanation:

To <em>estimate</em> the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.

For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13

Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?

To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.

What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.

That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.

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Triangle DEF is congruent to GHJ by the SSS theorem. Which rigid transformation is required to map DEF onto GHJ?
kondaur [170]

Answer: The correct option is 4, i.e., translation.

Explanation:

It is given that the triangle DEF is congruent to GHJ by the SSS theorem.

From the given figure it is noticed that the triangle DEF and GHI are isosceles triangle.

Reason for correct option:

In transition the side and angles of the shape are not effected and the figure transfers from one place to another place without making any other change.

Since the both triangle are congruent and the position of all sides and angles are same, therefore option 4 is correct.

Reason for incorrect option:

In dilation the size of the figure is either stretched or compressed according to the scale factor k. But in the given figure the size of both triangles are same it means option A is incorrect.

In reflection the distance of all the point in preimage and all the image are same from the central line. Any central line does not exist in given figure. SO, the option B is incorrect.

In rotation the side length and angles are not affected but the position are not same, therefore the option C is incorrect.

7 0
4 years ago
Read 2 more answers
Father is 20 years older than son. if the sum of their ages is 40 years find their age​
sweet-ann [11.9K]

Answer:

20 is the father's 20 is the son

Step-by-step explanation:

20+20=40

40/2=20

40-20=20

another way:

20:n= 40

40-20=20

20:20=40

4 0
3 years ago
Read 2 more answers
Someone help me asap please
denis23 [38]

Step-by-step explanation:

1, vertical- axis intercept is the water at the beginning

3, she should have included the y-intercept and x-intercept of the linear function

7 0
4 years ago
A bakery has 42 donuts and 24 muffins for sale. What is the ratio of muffins to donuts?
Marina86 [1]
To start, the ratio would be 24:42 but this can be simplified Both 24 and 42 are divisible by 6 so the ratio can be simplified to 4:7 or 4 to 7 so choice C

Hope this helps
4 0
4 years ago
Z=14i+12.1 <br> Re(z)= <br> Im(z)=
Virty [35]

Answer:

Re(z)=12.1,

Im(z)=14.

Step-by-step explanation:

Re(z) is the real part of the complex number. It always stands without i (imaginary unit), thus,

Re(z)=12.1.

Im(z) is the imaginary part of the complex number. It always stand with imaginary unit i. Hence,

Im(z)=14.

6 0
4 years ago
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