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sergey [27]
3 years ago
6

How do you determine whether to use 22/7 or 3.14 for π ?

Mathematics
1 answer:
Korolek [52]3 years ago
6 0

Answer:

  Use the value the problem statement tells you. Otherwise, use a better approximation.

Step-by-step explanation:

π ≈ 3.141592653589793238... (a non-repeating infinite decimal)

3.14 = 3.14

22/7 = 3.142857142857_142857

355/113 = 3.14159292035... (a very long repeating decimal)

You can see that the third decimal place is wrong in both of your approximations. The last approximation shown has 7 good decimal digits. A good scientific or graphing calculator will have an internal value for pi that is good to 10 or 12 digits or more (preferably, at least 32 digits).

You should use a value for pi that has at least one more digit of accuracy than the number of significant digits in your answer.

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An air traffic controller spots two airplanes at the same altitude converging to a point as they fly at right angles to each oth
dedylja [7]

Answer:

(a) D(t) = 250t -500 miles

(b) Controller has 2 hours, but including time for pilots to divert course or altitude.

Step-by-step explanation:

Given:

two planes at same altitude heading in a collision course.

Plane A at 400 miles from collision point at 200 mph

Plane B at 300 miles from collision point at 150 mph.

Theoretical collision happens in

t = 400/200 = 300/150 = 2 hours

Distance ya of plane A from collision point as a function of time in hours

ya(t) = 400 -200t

Distance yb of plane B from collision point as a function of time in hours

yb(t) = 300-150t

(a) Distance between two planes,

Since the two planes are on courses perpendicular to each other, will need using pythagorean theorem

D(t) = sqrt(ya(t)^2+yb(t)^2)

= sqrt((400-200t)^2+(300-150t)^2)

= 250(t-2)

D(t) = 250t -500 miles

b. time available

Time until D(t) = 0

solve D(t) = 0

D(t) = 0

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3 0
3 years ago
What are the vertices of /(△)?
Serga [27]

Answer:

3!

Step-by-step explanation:

The vertices are the points of the triangle. So if you count each point you get 3!

8 0
3 years ago
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If you drive 264 miles and use 12 gallons of gas, what is your rate of gas consumption?
dangina [55]

Answer:

22.

Step-by-step explanation:

264(Miles) divided by 12(Gallons used up) = 22(Miles per gallon)

5 0
3 years ago
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rosijanka [135]

Answer:

The original price of the tent was $130,00.

Step-by-step explanation:

The original price of the tent will be called "x". The store increased the value by 25%, so the new value is the original one plus 0.25 of the original one, so the new value is 1.25*x. The costummer paid the increased value less the $10 from the coupon, so we have:

paid = 1.25*x - 10

Since he paid $152.5 for the tent we can compute the original value as shown bellow:

152.5 = 1.25*x - 10

1.25*x = 152.5 + 10

1.25*x = 162.5

x = 162.5/1.25 = 130

The original price of the tent was $130,00.

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3 years ago
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