Algebra

Oh, isn't that interesting? When we have a linear pair of angles, one angle is always supplementary to the other. So if one angle is obtuse, which means it's more than 90 degrees, then the other angle must be acute, which means it's less than 90 degrees. It's all about balancing each other out, just like adding a touch of light to a dark painting to create harmony.

To find the area of a rectangle, you multiply its length by its width. In this case, the length is 7 meters and the width is 4 meters. Multiplying 7 by 4 gives you an area of 28 square meters. So, a rectangle that is 7 meters by 4 meters has an area of 28 square meters.

Oh, dude, 5 dozen cookies is like 60 cookies. I mean, if you really want to get technical, a dozen is 12, so 5 dozens would be 5 times 12, which equals 60. But who's counting, right? Just give me the cookies!

If by 'rule' you mean 'function' then there are an infinite number of possible answers. However, here are some examples. (Let input be x and output y.) Linear Functions y = x + 6 y = 3x + 10 Polynomials y = 3x2 - x - 10 y = x4 + 2x3 + 3x2 - 2x - 12 Exponentials y = 0.5x

To solve an equation for x, you need to isolate the variable on one side of the equation. Start by performing the inverse operation to undo any addition, subtraction, multiplication, or division. Once you have x by itself, the solution will be the value of x that satisfies the equation. Remember to follow the order of operations and be careful with signs to ensure accuracy in your answer.

First of all your spelling of 'centemeters' is incorrect. It is correctly spelled as ' Centimetres'. Note the 'i' and the position of the 'r' & 'e'.

In the metric system

there are 100 cm = 1 m

So in 4.5 m it is 4.5 X 100 = 450 cm

Remember there are 10 mm =

1 cm

Hence in 5 cm there are 5 x 10 = 50 mm

Write down all the factors of 108 and 252.

Hence

2)108

2)54

3)27

3)9

3)3 =

&

2)252

2)126

2)63

3)21

3)7

7)7 = 1

'2' appears in both division sets twice; 2 x 2 = 4

'3' appears in both division sets twice also 3 x 3 = 9

Hence 3 x 9 = 36 Hence '36' is the HCF.

NB The '7' and the remaining '3' are NOT common to both sets, so they cannot be part of the HCF.

Product means the answer to a multiplication.

e.g. 2 x 3 = 6 ( 6 is the product).

For Addition ; Sum, Total,

Subtraction ; Minus, Difference

Multiplication ; as given

Division ' Quotient.

Ah, what a happy little question! Between 1792 and 2000, there were 52 leap years. Leap years occur every 4 years to keep our calendars in harmony with the Earth's orbit around the sun. Just like adding a touch of titanium white to brighten up a painting, leap years add a little extra time to our calendar to keep everything running smoothly.

8

Oh, dude, a fraction between 0.625 and 0.7 would be 11/16. It's like, if you need a fraction in that range, just pick a number in the middle and call it a day. Math shouldn't stress you out that much, man.

Oh, dude, you just take the radius, square it (4.4 x 4.4), and then multiply by pi. So, it's like 4.4 x 4.4 x 3.14, which gives you an area of about 60.82 square centimeters. Easy peasy, lemon squeezy!

The sequence n plus 3 can be represented as 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... The 10th term of this sequence can be found by substituting n = 10 into the formula, which gives us 10 + 3 = 13. Therefore, the 10th term of the sequence is 13.

The number of days in a year is approximately 365.25. In scientific notation with three significant figures, this can be expressed as 3.65 x 10^2 days.

Well since they all begin with seven, you look at the decimal. Then you would order it from least to greatest looking at the first number. So from least to greatest it would go like this: 7.009, 7.09, 7.7, 7.7081

The answer depends on the font being used. In a serif font a lot more characters will have intersecting lines. So the answer is likely to be a subset of the upper case sans serif letters C, I , J, O, S. But even here, the letter O does have parallel segments, and possibly C as well.

To order these decimals from least to greatest, you need to compare the digits place by place. Start by comparing the first digit after the decimal point. In this case, the order would be 0.003, 0.004, 0.023, and 0.032. This is because 0.003 is the smallest, followed by 0.004, then 0.023, and finally 0.032.

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. The only three-digit prime number that can be formed using the digits 4, 1, and 0 is 401. This number is prime because it is not divisible by any other number except 1 and itself.

To find the inequality with 20 as a solution, we can represent it as x > 20, x ≥ 20, x < 20, or x ≤ 20. The inequality x ≥ 20 would have 20 as a solution since it includes all values greater than or equal to 20. This means that any number equal to or greater than 20 would satisfy the inequality x ≥ 20.

We need to convert to a decimal first.

'Thirteen' is just thirteen whole, so that is 13.

'Four tenths' is 0.4 as a decimal, so that is 0.4

Thirteen AND four tenths means we add them together.

So as a decimal = 13.4

Standard form must be between 1 and 10.

So we divide 13.4 by ten, giving us 1.34.

BUT, we have divided by ten, so the previous 13.4 x 10^0 now has to have the ten increase by a power, so our answer is 1.34 x 10^1.

Ans = 1.34 x 10^1

(x^0 = 1, where x is a positive whole number)

Oh, dude, let's break it down. So, if we let x be the number of dimes, then the number of nickels would be x + 70. Since there are 150 coins total, we can set up the equation x + (x + 70) = 150. Solving it, we find that there are 60 dimes and 130 nickels. Easy peasy, lemon squeezy!

To reflect a point in the x axis, multiply it's y coordinate by -1. Example: (x, y) over the x axis is now (x, -y), If you come across the y already being a negative, then make it a positive, (x, -y) = (x, y). The x stays the same, and vice versa over the y axis. Hope I helped. I am also having trouble with this, though, What if there is a zero? (5,0), it can't be (5, -0) can it?

Well, isn't that a happy little math problem? To find the value of y, we first need to figure out the product of 3 and y, which is 24 divided by 3, giving us 8. Then, if we add 8.6 to 8, we get the final answer of y being 16.6. Keep on painting those mathematical landscapes, my friend!

Well, honey, if you have a square with 6-inch sides, then you add up all those sides to get the perimeter. So, 6 + 6 + 6 + 6 equals a grand total of 24 inches. There you have it, the perimeter of your little 6-inch side square.