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Algebra

The use of letters to substitute unknown numbers to form an equation. Solve the equation to get the unknown number using different methods such as simultaneous equations and more.

227,579 Questions

Which quadrilaterals have diagonals that intersect at right angles outside the shape?

Well, honey, that would be rectangles. Those four-sided figures have diagonals that are equal in length and intersect at right angles outside the shape. So, if you're looking for a shape with some perpendicular diagonal action, rectangles are where it's at.

What is the perimeter of a semicircle with radius 8cm?

A semicircle is half a circle. So the perimeter of a semicircle is half the circumference of the whole circle plus the diameter, which is twice the radius:

perimeter = 1/2 x 2{pi}r + 2r

perimeter ~= 3.14x8 + 2x8 ~= 41.13cm

What is the 1000th triangular number?

The formula for the nth triangular number is Tn = n(n+1)/2. To find the 1000th triangular number, we substitute n = 1000 into the formula: T1000 = 1000(1000+1)/2 = 1000(1001)/2 = 500500. Therefore, the 1000th triangular number is 500500.

What is 2x plus 3 equals 9?

Oh, dude, math time! So, like, to solve this thrilling mystery, you just gotta subtract 3 from 9, which gives you 6. Then, divide that by 2, and voilà, you get the answer: x equals 3. So simple, even a comedian can do it!

What is 3x3x3?

3x3x3 is equal to 27. This is because when you multiply 3 by 3, you get 9, and then when you multiply that result by 3 again, you get 27. In mathematical terms, this is written as 3^3, where the small 3 as a superscript indicates that 3 is being multiplied by itself three times.

What is 12 minus x?

Well, isn't that just a happy little math problem we have here! When we have 12 and we take away a number, let's call it x, we are left with the result of the subtraction. It's like painting a beautiful landscape - we just need to carefully subtract x from 12 to reveal the hidden beauty underneath.

How many blocks per squ meter if they laid flat?

Oh, dude, if you're talking about standard concrete blocks that are 16 inches long and 8 inches wide, you'd have about 10.8 blocks per square meter if they were laid flat. But hey, who's counting, right? Just make sure you measure twice and lay once, or something like that.

How to write an algorithm that accepts five numbers and displays the sum and average of the numbers?

1.Start Algorithm

2.Enter first number

3.Enter second number

4.Enter third number

5.Enter fourth number

6.Enter fifth number

7.Add five number

8.display five number / 2

9.Display result

10.End Algorithm

What fraction of 1meter is 2mm?

Oh, dude, let's break out the math for this one! So, 2mm is like super tiny, right? It's like 0.002 meters. So, if you divide 0.002 by 1, you get 0.002. That's like 0.002 of a meter, which is the same as 2mm. So, the fraction of 1 meter that is 2mm is 0.002/1, which simplifies to 1/500. Voilà!

Show square root of 29 on number line?

The square root of 29 is an irrational number, close to (but not equal to) 5.385; on a number line, this is a point between 5 and 6 closer to 5 than 6.

The number can also be represented as a continued fraction. You can find a link to an image of this representation below.

-20x 5y equals 40 changed to slope-intercept form?

Oh, dude, you just gotta rearrange that equation a bit. So, like, first divide by 5 to get -4x - y = 8. Then, if you wanna be all fancy and use slope-intercept form, just solve for y to get y = -4x + 8. And there you have it, a technically correct answer with a sprinkle of my signature humor.

Does the letter x have an obtuse angle?

Oh, dude, the letter x doesn't have angles, it's not a shape or a polygon, it's just a letter in the alphabet. It's like asking if the number 7 likes chocolate ice cream. So, no, the letter x doesn't have any angles, acute, obtuse, or otherwise.

787.4 inches equals how many feet?

To convert inches to feet, you need to divide the number of inches by 12, as there are 12 inches in a foot. Therefore, 787.4 inches divided by 12 equals 65.6167 feet. Rounded to the nearest hundredth, 787.4 inches is equal to 65.62 feet.

Is there a regular polygon with angles of 158 degree?

No.

If the interior angles are 158o, then the exterior angles are 180o - 158o = 22o

For all polygons, the sum of the exterior angles is 360o.

For a regular polygon, they are all the same, so:

exterior_angle x number_of sides = 360o

⇒ number_of_sides = 360o ÷ exterior_angle

= 360o ÷ 22o

= 164/11

A polygon must have a whole number of sides, thus there is no regular polygon with all interior angles 158o

What is the greatest common factor of 64 96 and 128?

Well, honey, the greatest common factor of 64, 96, and 128 is 32. It's like finding the one friend who shows up to every party - dependable and always there when you need them. So, go ahead and thank good ol' 32 for being the life of the math party.

Is 3.72 an integer?

Oh, dude, an integer is just a fancy word for a whole number. So, like, if you can count it on your fingers without getting a decimal point involved, then it's an integer. And 3.72? Well, that's got a decimal, so it's not quite making the cut to be an integer.

How many years at 25000 miles per hour would it take to get to the sun?

Oh, dude, let me break it down for you. So, the sun is about 93 million miles away from Earth. If you're cruising at 25,000 miles per hour, it would take you roughly 3,720 hours to travel one million miles. Multiply that by 93, and you've got about 345,960 hours to reach the sun. So, like, pack some snacks and maybe a good playlist for the trip.

What is 3.8 cm in mm?

There are ten mm in a cm. The answer would be 38 millimeters.