 admin # Explain why a line of best fit is helpful when analyzing data

2 months ago

## Solution 1 Guest #3348
2 months ago
It helps identify the steps

## 📚 Related Questions

Question
Solution 1
Question 1:
A) No; 9.3 or 20.6.
B) Yes, because the triangles are similar.
C) No, because the triangles will not necessarily be similar.

There is not enough information to answer Questions 2 or 3.

Explanation for Question 1:
A) We are not told which side is the longest, so these two sides could be placed anywhere in the Pythagorean theorem.  They could either be both legs, or one could be the hypotenuse:

Hypotenuse: 13² + b² = 16²
169 + b² = 256
169 + b² - 169 = 256 - 169
b² = 87
b = √87 = 9.3

Both legs:   13² + 16² = c²
169 + 256 = c²
425 = c²
√425 = c
20.6 = c

B) The two triangles will be similar, since each pair of corresponding sides will have the same ratio (2, since it is doubled).  Similar triangles have the same angle measures, so this must also be a right triangle.

C) Simply adding a value to each side will not preserve similarity.  For example, if we had a triangle with sides 3, 4, and 5, adding 2 to each side would give us 5, 6 and 11.  These do not have the same ratios; 3/5 is not the same as 4/6 or 5/11.
Question
How many tons are equal to 40000 pounds
Solution 1
20 us tons ................
Question
Jason is covering an ottoman with fabric. The ottoman is in the shape of a rectangular prism that is 37 cm long, 21 wide, and 30 cm high. How much fabric is needed to cover the sides and top of the ottoman? Explain your strategy.
Solution 1
We know that
we need to calculate the surface area including only one base

surface area=area of the base+perimeter of the base*height

area of the base=37*21----> 777 cm
²

perimeter of the base=2*[37+21]----> 116 cm

height of the prism=30 cm
surface area=777+116*30-----> 4257 cm²

4257 cm²

Question
An elevator travels 117 feet in 6.5 seconds what is the elevators speed in a unit rate
Solution 1

you would have to do out the equation of 117 divided by 6.5 which would give you 18 feet per second

Question
COMPLETING THE SQUARE 2x^2 -4x+3=9 2. QUADRATIC FORMULA 2x^2+4x=0
Solution 1
X = 3 and x = -1 are the answers for both. They are exactly the same equation.

FOR COMPLETING THE SQUARE
Make in terms of ()^2 which you can do by adding numbers to both sides. Eventually it will look like this:
(2x - 1)^2 - 7 = 0
Add to both sides, take a square root and then solve.

Be sure to solve for zero and be aware of negatives when plugging in.
Question
You start a business making painted flower containers. You spend 300\$ on paint and 5\$ on each container. You charge 20\$ for each container. How many containers do you have to sell to break even?
Solution 1
Without paint, you're profiting \$15 per container with the \$5 original cost

300/15 = 20

Question
What type of triangle has 3 sides that are the same length?
Solution 1
An equilateral triangle.
Solution 2
The answer is an equilateral triangle.

An equilateral triangle is a triangle in which all 3 side lengths are the same.

Hope this helped☺☺
Question
A shopper buys 3 shirts on sale for \$19.95.what is the total cast
Solution 1
You simply multiply the number of shirts times the price of a shirt.

3*19.95 = 59.85

So, the total cost of 3 shirts is \$59.85

HOPE THIS HELPS!!!!
Question
Plzz help me Match the system of the equation to the number of solutions. y = 5 2x - 2/3y = 10 1. No solutions 2. One solution 3. Infinite solutions
Solution 1
One solution.

They have different slopes and therefore must have one solution.
Question
Tripping ran 4.8 times as many laps as Tony.If Tony ran3.7 laps how many laps did tripping run
Solution 1
This is a simple multiplication question.

4.8 x 3.7=17.76

Tripping ran 17.76 laps.

Check: 17/76/4.8=3.7
Solution 2
You simply multiply 4.8 and 3.7 because if you notice the word "times," it explains you that you need to do multiplication.

4.8*3.7 = 17.76

So, Tripping ran 17.76 laps.

HOPE THIS HELPS!!!!

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