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These rules vary somewhat from state to state.

In California, passenger car brakes must stop a vehicle going 20 MPH within 25 feet.

The car has traveled a total distance of 18 miles (10 miles south + 8 miles north), but its displacement is 2 miles south. Displacement is the shortest distance between the starting and ending points, regardless of the actual path taken.

The time it takes to travel 29 miles will depend on the speed at which you are traveling. For example, if you are driving at 60 miles per hour, it would take approximately 29 minutes to travel that distance. To calculate the exact time, you can divide the distance by the speed at which you are traveling.

To find the distance between two points in 3D space (x1, y1, z1) and (x2, y2, z2), use the distance formula: Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Substitute the coordinates into the formula to find the distance.

11:132 :: 1:12

NO!!!

Sine40 = Cosine50 = 0.64278...

Sin30 = Cos 60 = 0.5

Sin 0 = Cos 90 = 0

Sin 90 = Cos 0 = 1

From Latin the word 'Sine' means 'curve'. Cosine means 'Complimentary Sine' or Complimentary curve'.

The 'awkward' decimal numbers are based on a the radius of a circle, that radius being the hypotenuse of a right- triangle based at the circles origin/centre.

It means multply

e.g. 5a means '5' multiplied to the value of 'a'.

As in all multplied/addition.

3+3+3+3+3 = 5 X 3 = 15

Instead of writing all the plusses , we shorten it to multiply.

Similarly

a + a +a + a + a = 5 X a = 5a

In algebra the multiplication sign (x) is never shown as it may be confused with the unknown 'x'.

In algebra

addition is shown as 'a + b

subtraction is shown as 'a - b' .

multiplication is shown as 'ab'

division is shown as 'a/b' ( like an fraction).

No. The tens unit is independent of the ones unit

sqrt(160)

We know that 12^2 = 144 and 13^2 = 169 .

So the square roots of 144 and 169 are 12 & 13 respectively,

Since 160 is between 144 & 169 , then its square root is between 12 & 13.

So by trial and Error , we try 12.5^2 = 156.25 This is too small so try 12.6

12.6^2 = 158.76 Still too smalle

12.7^2 = 161.29 This is too large , so try 12.68

12.68^2 = 160.7824 Still too large ,so try 12.67^2

12.67^2 = 16.5289 Too large

12.66^2 = 160.2756

12.65^2 = 160.0225

12.649^2 = 159.99

12.6495^2 = 160.0098503...

So to 4 d.p. the sqrt(160) ~ 12.6495

You can keep going like this, until you reach the required number of decimal places.

There is a 'mechanical' method to find square root, but it would take me all day to explain .

Per electronic calculator the answer is 12.64911064....

To convert any terminating decimal to a fraction, inspect the number of decimal digits. In this case it is '2'

So place the decimal over 'one point and two zeroes)

Hence

0.04 / 1.00

Cancel down the decimal point

004/100

The prefix zeroes to '4' can be ignored.

Hence

4/100

Cancel down by '4' Hence

'1/25'. THe Answer!!!!!

NB There is a different technique for rational decimals to inifinity.

NNB Irrational decimals CANNOT be converted to an exact quotient(fraction).

'Pythagorean' is the 'adjective for 'Pythagoras'.

{ythagoras was a Classical Greek mathematician who gave us the equation

h^2 = a^(2) + b^(2) .

In words, 'The square of the hypotenuse(h) is equal to the sum of the other two sides squared'.

NB This only applies to 'right-angled' triangles (trigons).

First find the slope 'm'

m = ( y(1) - y(2))/ (x(1) - x(2))

Hence

m = ( -3 - - 63) / ( -76 - 7)

m = 60/ -83 = -60/83

Hence

y = (-60/83)x + c

To find 'c' take either point and displace against x & y.

Hence

y - - 3 = ( -60/83) (x - -76)

y + 3 = (-60/83) ( x + 76)

Multiply through by '83'.

Hence

83y + 249 = -60x - 4560

83y = -60x - 4809

or

60x + 83y = -4809

or

60x + 83y + 4809 = 0

5^(5) / 5^(4) = 5^(5-4) = 5^(1) = 5

or

5^(5) /5^(4)= 5x5x5x5x5 / 5x5x5x5

Cancel down by '5' ( top and bottom) and we are left with 5/1 = 5 as before.

NB We do normally show number to the power/exponent of '1' except to aid in exponential calculations.

It is a decimal number used to give an answer to a question like: What Is half of 1? Which is simply 0.5

We know that the cube of 10 is 10^(3) = 1000

So try 11^(3) = 1331 (Too low)

So try 12^(3) = 1728 THE ANSWER!!!! Go No futher.

So the cube root (1728) = 12

NO!!!!

sqrt(-n) ?????

However,

-n X -n = (+)n^2

Sqrt(n^2) = either -n or (+)n , because either -n X -n = (+)n^2 or n x n = n^2

However,

sqrt(-n) takes us into IMAGINARY numbers.

sqrt(-n) = sqrt( -1 x n) = sqrt(-1) X sqrt(n)

.The sqrt(-1) is mathemtically unresolved and is given the symbol 'i' (small / lower case letter 'i'.

The sqrt(n) .being positive can be found.

-n + 4n = 4n - n = 3n Done!!!!!

y^2 + 4y + 4 = 7

Hence

y^2 + 4y -3 = 0

Apply the Quadratic Eq'n

y = { - 4 +/- sqrt[(4)^(2) - 4(1)(-3)]} / 2(1)

y = { -4 +/- sqrt[ 16 + 12]} / 2

y = { 4 +/- sqrt(28)]}/ 2

y = {4 +/- 5.2915....} /2

y = 9.2915/// / 2 = 4.64575....

&

y = -1.2915... / 2 = -0.64575....

Assuming Compound Interest

I(n) = I(o)[1 + r/100]&(n)

Where

I(o) = 1250

r = 3.5%

n = 4 years

Substitutie

I(4) = 1250[1 + 3.5/100]^(4)

Hence

I(4) = 1250 [ 1.035]^(4)

I(4) = 1250[1.147523]

I(4) = 1434.40 is the total amount owed.

NB Compound interest is the usual business practice of calculating interest.

NNB Payment would possibly be done on an monthly basis ; 1434.40 / 48 = 29.88 is paid each month .

well it could be anything, but I think you are thinking of Pythagoras' theorem.

a(2) x b(2) = c(2) (2) = squared

Divide 1 by 0.66: 1/ 0.66 = 1.51515151515

y = 5x - 2

This follows the general equation for a straight line y = mx + c.

Where 'm' is the slope/gradient and 'c' is the y-intercept.

At the point the line crosses the y-axis , then x = 0

Hence

y = 5(0) - 2

y = -2 is the point the line intercept the y-axis.

A giant ladybug!* * * * *

Oh, that is soooo funny!

The correct answer is equilateral. If all the angles are also congruent, then the polygon is said to be regular.

Any value with a 'zero' exponent is equaL TO '1'.

A^(0) = 1

proof

Let a^(0) =.

a^(n - n) = a^(n) / a^(n) Cancel down by a^(n) hence it equals '1'.