Trigonometry

It depends on your latitude. At the equator (0 degrees) a degree of longitude covers just over 111 km, so 8 degrees would be about 890 km.

At 45 degrees of latitude, a degree of longitude covers just under 79 km, so 8 degress would be about 555 km.

Check out the calculator in the related link. Enter the degrees of latitude and it gives the length of a degree at that point.

(tan x + cot x)/sec x . csc x

The key to solve this question is to turn tan x, cot x, sec x, csc x into the simpler form.

Remember that tan x = sin x / cos x, cot x = 1/tan x, sec x = 1/cos x, csc x = 1/sin x

The solution is:

[(sin x / cos x)+(cos x / sin x)] / (1/cos x . 1/sin x)

[(sin x . sin x + cos x . cos x) / (sin x . cos x)] (1/sin x cos x)

[(sin x . sin x + cos x . cos x) / (sin x . cos x)] (sin x . cos x)

then

sin x. sin x + cos x . cos x

sin2x+cos2x

=1

The answer is 1.

It is the total stopping time.

Cot(1.13 radians) = 0.4718

The volume.

Their sum must be 60.

Mystery message

sine-1(0.3420201433) = 20 degrees

The famous mathematical problems featuring pi include finding the area and the circumference of a circle. The value for pi is 3.14.

The powers of i are:

i1 = i

i2 = -1

i1 = -i

i1 = 1

After that, the pattern repeats, so i6 = -1.

Descriptive is when a few represent the whole population. Inferential infer the nature of a lager usually infinite set of data that we don't have.

• 56, 126,
• 40, 110,
• and 77, 147.

Suppose the cube has edges of length x.

Then the area of each face (side) is x2. There are six faces so the total surface area is 6x2. The volume of the cube is x3.

So 6x2 = x3

DIviding both sides by x2 gives x = 6.

It is 0.

It is 3/13 - 2/13*i

Tangent and cotangent positive; other 4 negative.

tangent market

They are usually introduced in mathematics as trigonometric ratios.

In a right angled triangle, there is (by definition) a right angle and the side opposite that is called the hypotenuse. Select one of the two acute angles, X. It is formed by two sides, one of which is the hypotenuse and the other is called the adjacent side. The third side, opposite the selected angle, is called the opposite side.

Suppose the lengths of these three sides are h, a and o. Then

sin(X) = o/h cosec(X) = 1/sin(X) = h/o

cos(X) = a/h sec(X) = 1/cos(X) = h/a

tan(X) = o/a cot(X) = 1/tan(X) = a/o

Sin(33.5) = 26/Length so Length = 26/sin(33.5) = 47.1 ft, approx.

90-20 = 70 degrees

It depends on the objects, how far apart they are and whether or not one can be seen from the other. If they are moderately far apart, echo location (sonar or radar) located at one of the objects can be used. A beam of radio or sound waves is aimed at the object and the time taken to receive an echo is measured. Since the speed of radio waves or sound waves in the relevant medium is known, the distance travelled by these waves can be calculated. The distance to the object is then half the calculated distance (the waves have to go there and come back).

Thinking for less than a minute I come up with 3 (not counting rotations and mirrorings)

Thinking for another minute I come up with an infinite number.

The assignment is asking: A swuare with a side of 4 feet needs to be cut into four parts that are the same in size. Can you find six different ways to cut the square? Using the squares below, draw six different ways the square could be cut. Hint: The parts might not have the same shape.

We have already found 4.

I cannot answer this without knowing any more information. Finding the proper dimensions of a triangle without knowing the kind of triangle cannot really be done. Because it may be an isosceles triangle (every angle is equal) or it could be a 30-60-90 triangle etc.

You have points A, B, and C. Using a compass and straight edge, find a perpendicular bisector of AB (that is, a line that is perpendicular to AB and intersects AB at the midpoint of AB. Next, find a perpendicular bisector of BC. The two lines you found will meet at the center of the circle.