Algebra

The angle of depression is equal to the angle of elevation, so use the sine ratio to find the angle.

sine = opposite (the vertical drop) divided by the hypotenuse (the ski slope)

sine = 100/250 = 2/5 or 0.4

sine-1(0.4) = 23.57817848 degrees which is about 24 degrees

The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.

It is 500/1000. You can simplify this but it makes little sense to do so if you want to add other fractions of a litre to this one.

0.9999 DOES NOT equal 1 but is quite close to it. It is less than 1 in ten thousand off and for most purposes that difference can be ignored.

28.8 in the mean

14+27+30+36+38=144

144/5 (the number of units)

=28.8

41.66666667 as a fraction is best represented as 41 and 2/3. To convert the decimal to a fraction, we first note that the decimal portion .66666667 can be expressed as a repeating decimal, which is equivalent to 2/3. Therefore, 41.66666667 is equal to 41 + 2/3, or 41 2/3 in mixed number form.

Well, isn't that just a happy little question! You see, there are 1000 milligrams in 1 gram. So, to find out how many grams are in 1300 milligrams, you simply divide 1300 by 1000. That gives you 1.3 grams, a lovely little conversion to keep in your painting toolkit.

Ah, what a happy little question! Between -4 and 4, we have the numbers -4, -2, 0, 2, and 4. Out of these, we have three even integers: -4, -2, and 4. Just a few little even numbers, peacefully nestled between -4 and 4.

Based on the information provided, we can deduce the ranking of the three students as follows: Arthur has the highest grade, followed by Fatima, and Peggy has the lowest grade among the three students. This ranking is determined by the given relationships between their grades.

Well, to calculate the area of a flange, you'll want to start by determining the shape of the flange - is it circular, rectangular, or another shape? Once you know the shape, you can use the appropriate formula to find the area. Remember, take your time and enjoy the process of solving the problem - there are no mistakes, just happy little accidents!

The logarithm base 4 of 16 is asking the question "4 raised to what power equals 16?" In this case, 4 squared is equal to 16, so the answer is 2. Therefore, log base 4 of 16 is equal to 2.

To find the interior angle of a polygon with 29 sides, you can use the formula: (n-2) * 180° / n, where n is the number of sides. Plugging in 29 for n, the formula becomes (29-2) * 180° / 29 = 27 * 180° / 29 = 540° / 29 ≈ 18.62°. Therefore, the interior angle of a polygon with 29 sides is approximately 18.62 degrees.

The perimeter of a square is calculated by adding the lengths of all four sides. Since all sides of a square are equal, in this case, each side of the square would be 3.5 cm. Therefore, the perimeter would be 3.5 cm + 3.5 cm + 3.5 cm + 3.5 cm = 14 cm.

To convert 78125 to the power of 5, you would raise 78125 to the 5th power. This involves multiplying 78125 by itself 5 times. Mathematically, this can be represented as 78125^5 = 78125 x 78125 x 78125 x 78125 x 78125. This calculation results in a very large number, which is 286797186029971.

To convert 9000 mm to decimeters, you need to understand the relationship between millimeters (mm) and decimeters (dm). There are 10 millimeters in a centimeter and 10 centimeters in a decimeter. Therefore, to convert 9000 mm to decimeters, you divide by 100 (10 mm x 10 cm = 100 mm). So, 9000 mm is equal to 900 decimeters.

To convert a decimal to an improper fraction, you first write the decimal as a fraction with the decimal as the numerator and a power of 10 as the denominator. In this case, 4.5 can be written as 4.5/1. To convert this to an improper fraction, you multiply both the numerator and denominator by 10 to get 45/10. Simplifying this fraction by dividing both the numerator and denominator by 5 gives us the improper fraction 9/2.

Well, darling, if the area of the circle is 25π cm², then we can use the formula A = πr² and plug in the area to solve for the radius. So, 25π = πr², which means the radius is 5 cm. Voilà, problem solved!

1 x 29

14 + 15

50 - 21

58/2

No equation equals 29. But there are an infinite number

of equations of which 29 is a solution.

A few of them are:

x + 10 = 39

x - 15 = 14

2x - 8 = 50

(x + 5) (x - 5) = 216

log(x) = 1.4624

66 = 198

A 65 degree angle is acute.

Oh honey, it's simple math. 1.12 in expanded form is 1 + 0.1 + 0.02. Just break down those decimal places like you're breaking down a bad date - no need to overcomplicate things.

6

To get the number 16 using only the digits 1, 2, 3, and 4, you can use the following mathematical expression: (4 x 3) + (2 x 1) = 12 + 4 = 16. This equation involves multiplication and addition, using each of the given digits exactly once.