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3 years ago

A square box lid has an area of 50 square inches. Which is the best estimate of the length of one side?

Mathematics

1 answer:

PtichkaEL [24]3 years ago

5 0

Answer: 7.1 inches

Step-by-step explanation:

The area of a square is simply the square of one of its length. Therefore since we are informed that the area of the square box is given as 50 inches².

Then the best estimate of the length of one side will be the square root of 50 which will be:

= ✓50

= 7.1 inches approximately

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"Write a set of inequalities and solve to find the range of possibilities for x. You will need to write two separate inequalitie

san4es73 [151]

Answer:

x > 5/3
x < 8

Step-by-step explanation:

First, the side lengths should be greater than zero:

3x - 5 > 0
2x + 3 > 0

Second, The triangles have a common side and the given sides are opposite of 27° and 37° angles.

This tells us the side opposite of greater angle is greater:

2x + 3 > 3x - 5

Simplify each inequality:

3x - 5 > 0 ⇒ 3x > 5 ⇒ x > 5/3
2x + 3 > 0 ⇒ 2x > - 3 ⇒ x > - 3/2
2x + 3 > 3x - 5 ⇒ 3x - 2x < 3 + 5 ⇒ x < 8

Common solution is:

x > 5/3
x < 8

3 0

3 years ago

Help plsssssss WILL GIVE BRAINLIEST

ruslelena [56]

Answer: (1,2)

Step-by-step explanation:

I will help you..

Given:

$-2x-5y=-12\\10x-4y=2$

Lets cancel out the x term..

$5(-2x-5y)=-12(5)\\=-10x-25y=-60$

Now our system looks like this:

$-10x-25y=-60\\10x-4y=2$

Add.

$-29y=-58\\y=2$

plug in 2 for y

$-2x-5(2)=-12\\-2x-10=-12\\-2x=-2\\x=1$

Therefore the system is:

$(1, 2)$

If this helped consider marking brainiest.

7 0

2 years ago

Read 2 more answers

Help please!!!!!!!!!!!!!!!!!!

NemiM [27]

Note: As you missed to mention the coordinate graph. After a little research I was able to find the graph and based on that graph I am answering your questions, which anyways would help you clear your concepts.

Question # 4

To Determine:

Part a) What are the coordinates (x, y) of a point halfway from City Hall to the hospital?

Part b) Is there more than one possibility?

Explanation:

Part a)

As the the location of coordinates of City Hall is (0, 0).
The hospital has the location at the point (-6, -4)

If we analyze the graph carefully, we observe that there is 10 blocks distance between City Hall to the Hospital. And when you travel by taxi, and cover the 5 blocks, it means you would have covered the halfway distance between City Hall to the hospital.

So, one of the coordinate (x, y) of a point halfway from City Hall to the hospital is (-1, -4). It could have also been (-4, -1). As both coordinates are indicating the half way distance from City Hall to the hospital, depending upon which route a car driver chooses.

Part b)

Yes, there is more than one possibility that there could be multiple coordinates (x, y) of a point halfway from City Hall to the hospital, as it entirely depends upon which route the taxi driver chooses to travel. For example, there is a total 10 block distance from City Hall to the hospital, and if a taxi covers 5 blocks, it means it has covered the halfway distance.

And to cover 5 block distance, there are multiple routes available a taxi driver can choose to travel. In short, the location of the coordinates of a point halfway from City Hall to the hospital is a function of the preference of the route chosen by taxi driver.

So, the points (-1, -4) and (-4, -1) are both the coordinates of a halfway from City Hall to the hospital.

 Question # 5

To Determine:

Part a) Suppose you traveled by helicopter. What are the coordinates of a point halfway from City Hall to the hospital? How can a helicopter travel differently?

Part b) Is there more than one possibility?

Explanation:

Part a)

When we are travelling by helicopter, we may have the flexibility of choosing the shortest possible distance as a car driver may not get this flexibility due to certain reasons like terrain, or a road blockage etc.

So, the coordinates of the point of shortest possible halfway distance from City Hall to the hospital is (-3, -2).

Part b)

Please remember, if we are travelling by helicopter and the Pilot chooses a shortest possible route, then there is only one way for the shortest possible route as there is only one halfway point.

Keywords: distance, shortest distance, coordinate, halfway distance

Learn more about distance from brainly.com/question/11592733

#learnwithBrainly

4 0

3 years ago

he graph shows the distribution of time (in hours) that teenagers spend playing video games per week. A graph titled Video games

Goshia [24]

"The graph shows the distribution of time (in hours) that teenagers spend playing video games per week. ", The statement that best describes the distribution is "The distribution is approximately Normal, with a mean of 14 hours and a standard deviation of 4" Option B.

This is further explained below.

<h3>What is Normal distribution?</h3>

Generally, Data closer to the mean tends to occur more often than data further from the mean, as shown by the normal distribution, also known as the Gaussian distribution. The normal distribution may be represented graphically as a "bell curve."

In conclusion, "the graph illustrates the distribution of the amount of time, in hours, that teens spend playing video games over the course of a week," The statement "The distribution is nearly normal, with a mean of 14 hours and a standard deviation of 4" is the one that gives the most accurate account of how the data was distributed.