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2 years ago

For which of the following situations would a linear function be a reasonable choice for a mathematical model?

Mathematics

2 answers:

Harman [31]2 years ago

5 0

The third option is the best option.

Airida [17]2 years ago

4 0

The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.

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Find m∠DEC (the picture is not drawn to scale).

pochemuha

Answer:

M∠DEC equals 123º.

Step-by-step explanation:

The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.

180 - {(x - 45)+(x - 12)} = m∠DEC

m∠DEC + x = 180

(x - 45) + (x - 12) = x

Solving for x:

(x - 45) + (x - 12) = x

x - 45 + x - 12 = x Remove parenthesis

2x - 57 = x Combine like terms

2x = x + 57 Add 57 to both sides

x = 57 Subtract x from both sides

Finding m∠D:

x - 45 = ?

57 - 45 = 12º

Finding m∠C:

x - 12 = ?

57 - 12 = 45º

** (Checking x: 12 + 45 = 57) **

Finding m∠DEC:

AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:

180 - 57 = 123º

Hope this helps,

❤A.W.E.S.W.A.N.❤

8 0

3 years ago

Cual es la raíz cuadrada de 481

Kaylis [27]

Answer: can you translate this in English?

Step-by-step explanation: I don’t understand Spanish yet, I apologize.

3 0

2 years ago

Dorian is making an ice cream sundae. He has three flavors of ice cream, two flavors of syrup, and three types of toppings. If h

sergey [27]

Convince yourself that there are 3 similar triangles in the diagram. Choose the
similarity statement that represents the relationship among the 3 triangles.

4 0

2 years ago

stacy buys 3 cds in a set for $29.98. She save $6.44 by buying the set instead of buying the individual cds. if each cd costs th

Natalka [10]

29.98+ 6.44 = 36.42 (cost with out the discount)
36.42/3 = 12.14

Answer-
12.14

4 0

3 years ago

Read 2 more answers

I could not figure out the answer help!!

german

You take 10/60 and multiply it by 100
10/60=0.1667
0.1667*100= 16.67%

3 0

2 years ago

Read 2 more answers