Algebra

Well honey, 2 meters is the same as 200 centimeters, so the ratio of 45 cm to 200 cm is 45:200. To simplify that bad boy, just divide both numbers by 5 and you get 9:40. Voila!

The prime factors of 180 are the prime numbers that can be multiplied together to equal 180. To find the prime factors of 180, we start by dividing 180 by the smallest prime number, which is 2. Continuing this process, we find that the prime factors of 180 are 2, 2, 3, 3, and 5, represented as 2^2 * 3^2 * 5.

Ah, what a happy little math problem we have here! When you see "p times p to the third power," you simply need to multiply p by p cubed. This gives you p to the power of 4, as you add the exponents when you multiply like bases. Just a joyful reminder to embrace mistakes as happy little accidents in your math journey!

I'm sorry, but I cannot provide specific answers to a particular worksheet as it goes against academic integrity policies. However, I can guide you on how to solve specific types of problems or concepts covered in the Maths Mate 7 Term 2 Sheet 1. Feel free to ask for help on a specific question or concept, and I'd be happy to assist you.

Oh, what a lovely question! Let's see here. First, we need to convert 4 meters to centimeters, which gives us 400 cm. Then, we divide 400 cm by 8 cm (the length of each string) to find that you can cut 50 strings from a 4m length. Just imagine all the beautiful creations you can make with those strings!

Well, honey, to find the value of an expression in lowest terms, you need to simplify it by dividing the numerator and denominator by their greatest common factor. It's like decluttering your closet - get rid of the unnecessary baggage! Once you've simplified the expression as much as possible, you've got yourself the value in lowest terms. Now go forth and conquer those fractions, darling!

Well, darling, when you split something into two equal parts, you're dealing with a good ol' pal called "halves." It's like cutting a cake perfectly down the middle, giving you two delicious slices that are mirror images of each other. So, next time you need to divide something evenly, just remember to aim for those sweet, sweet halves.

Oh, dude, I totally get it. So, technically speaking, the question is asking about the probability of someone laughing when an ice skater falls down. I mean, statistically speaking, there's a good chance someone chuckled, right? But hey, who really wants to do math when there are ice skaters falling all over the place, right? Like, priorities, man.

These are two different measurements you are comparing - volume and mass. It's like comparing 40 lbs and 20 gallons - it doesn't make much sense. A cc is a cubic centimeter which is equal to one milliliter. If you know the density/concentration of whatever medication you are talking about, then you could figure out the conversion above. For example - if your medication has 10 mg/cc, then there is .5cc per milligram.

The formula to calculate the volume of a sphere is V = (4/3)πr^3, where r is the radius. Since the diameter is 24 inches, the radius would be half of that, which is 12 inches. Plugging this value into the formula, we get V = (4/3)π(12)^3. Therefore, the volume of the sphere is approximately 7238.23 cubic inches.

To determine the number of hours it takes to travel 7 miles, we need to know the speed at which the distance is covered. If we assume a constant speed of 1 mile per hour, then it would take 7 hours to travel 7 miles. However, if the speed is different, we would need that information to calculate the time taken to cover the distance.

To write 1456 in exponential notation, you would express it as 1.456 x 10^3. This is done by moving the decimal point three places to the left to make the number between 1 and 10, and then raising 10 to the power of the number of places you moved the decimal point.

Oh, dude, the largest perfect square factor of 210 is 49. It's like finding the biggest piece of the pie at a party - you want that big square slice, not those tiny crumbs. So yeah, 49 is the winner here.

Well, darling, a semicircle is half of a circle, so to find the area you just take the area of a full circle and divide it by 2. The formula for the area of a circle is πr^2, so for a 10cm semicircle, you'd calculate it as 0.5 * π * 5^2, which gives you an area of 39.27 square centimeters. Voilà!

To calculate the area of a triangle with side lengths of 11cm, 8cm, and 7cm, we first need to determine the semi-perimeter of the triangle. The semi-perimeter (s) is calculated by adding all three sides together and dividing by 2, so s = (11 + 8 + 7) / 2 = 13 cm. Next, we can use Heron's formula to find the area of the triangle, which is given by the formula: Area = √[s(s-a)(s-b)(s-c)], where a, b, and c are the side lengths. Plugging in the values, we get Area = √[13(13-11)(13-8)(13-7)] = √[1325*6] = √780 ≈ 27.93 cm².

13

An angle of 48 degrees is considered an acute angle, as it is less than 90 degrees. In geometric terms, it falls between 0 and 90 degrees on a standard coordinate plane. It is commonly seen in various mathematical and real-world applications, such as geometry, trigonometry, and engineering.

The greatest or highest common factor is the highest number that divides exactly into two or more numbers.

20: 1, 2, 4, 5, 10, 20

45: 1, 3, 5, 9, 15, 45

The greatest common factor for 20 and 45 is 5.

To convert square feet to square meters, you need to know that 1 square meter is equal to approximately 10.764 square feet. Therefore, 9 ft x 9 ft is equal to 81 square feet. To convert this to square meters, you would divide 81 by 10.764, which equals approximately 7.53 square meters.

Well, honey, the algebraic expression for "3 more than m" is simply m + 3. It ain't rocket science, just add 3 to the variable m and you've got your answer. Math doesn't have to be complicated, sugar, just keep it simple and you'll be just fine.

Well, isn't that a happy little triangle Tyler has there! To find the measure of the third angle, we can use the fact that the sum of all angles in a triangle is always 180 degrees. So, if we add 35 and 85 together, we get 120 degrees. Subtracting that from 180 degrees leaves us with 60 degrees for the measure of the third angle. Happy painting, my friend!

It is 7.0*10^5 in standard form or scientific notation

Two lines on two sides of a triangle typically indicate that those sides are parallel. This is known as a parallel line relationship. When two lines are parallel, they will never intersect, and they have the same slope. In the context of a triangle, this relationship can help determine other properties of the triangle, such as angles or side lengths.

It truly depends on what the problem is, but normally a negative will change the overall answer of the sum:

+ and - = negative answer

- and - = positive answer

+ and + = positive answer

- and + = negative answer