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Posted in Mathematics

what is the side length of the smallest square plate on which a 24-cm chopstick can fit along a diagonal without any overhang???!!!!!!!


A square is basically two triangles put together and since a square has four right angles you can use the Pythagorean Theorem to do this.

A squared +b squared <24
5 squared x 5 squared = 25

Sooooooo...... ;)
Get it?

Related Questions

Posted in Mathematics

Convert 1.50 μm² to square meters.

The solution to the problem is as follows:

  1∙5µm² = ? m² 

1m * 1m = 1m² 
But 1m = 1,000,000µm = 1x10^6µm 
1x10^6µm * 1x10^6µm = 1m² 
1x10^12µm² = 1m² (Now, divide both sides by 1x10^12). 
1x10^12µm² /(1x10^12) = 1m² /(1x10^12) 
1µm² = 0∙000 000 000 001 m² (x both sides by by 1∙5). 
1∙5µm² = 0∙000 000 000 0015 m²
 
1∙5µm² = 1∙5x10^-12 m²


I hope my answers has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Which of the following is the statement of the triangle inequality theorem? A. The sum of the measures of any two angles of a triangle is greater than the measure of the third angle. B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side. C. The longest side of a triangle is opposite the largest angle. D. The largest angle of a triangle is between the two longest sides.

we know that

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

so

Let

a,b,c------> the length sides of a triangle

The theorem states that three conditions must be met

case 1)

 a+b > c

case 2)

 a+c > b

case3)

 c+b > a

therefore

the answer is the option

B. The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Posted in Mathematics

What is the ratio of the area of the inner square to the area of the outer square? (a−b)²+b²/a² a²−b²/a² (a−b)²/(a+b)² (ab)²/(a+b)²

The answer is
(a−b)²+b²/a²


proof

if A is the area of the
inner squared, so A= c², and c²= (a−b)²+b²

so the side of the outer must be a-b +b=a, its area is a²

Posted in Mathematics

A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than 80 footballs and baseballs in stock during the month. What is the maximum profit the store can make from selling footballs and baseballs in a month?

We are given with $6 profit per football sold and $5.50 profit per baseball sold. There are 35-45 footballs and 40-55 baseballs sold but there are only 80 balls stock in the store. The maximum profit is incurred from selling more of football and less of baseball. The equal number could also be possible. Having 40 footballs and 40 baseballs can be a possibility. However, having 39 footballs and 41 baseballs has smaller profit than the equal number. Likewise, 41 footballs lead to 39 baseballs which are not within the range. The answer is 40 footballs and 40 baseballs with a total profit of $460. 

Posted in Mathematics

Which polynomial expression represents the area of the outermost square tile, shown below? A square shaped tile with length x plus three is shown x2 + 6x + 6 x2 + 9x + 6 x2 + 6x + 9 x2 − 6x + 9

I believe the correct answer from the choices listed above is the third option. The polynomial expression that represents the area of the outermost square tile would be x^2 + 6x + 9. The area of a square is calculated by the square of its side and the side of this square is given as x+3.

A = (x+3)^2 = x^2+6x+9

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Posted in Mathematics

6 times the square root of 2.25 and then minis 4.23 =

The answer is: 4.77.
________________

6√(2.25)  - 4.23 = ?
__________________
6√(2.25)  - 4.23 = 
______________________
6*(1.5)  - 4.23 = 
_______________
9 - 4.23 =
_______________
4.77

Posted in Mathematics

If the perimeter of a square is 16”, what is the length of each side of the square?

A square is a shape with 4 sides where all sides are equal. Therefore, the perimeter of a square is 4n, with n being the length of one side. set up the equation as follows; 4n = 16. solve this for n by dividing both sides by 4. You get n = 4, which is the solution.

4"

Posted in Mathematics

Calculate the length of the circumference of a circle with a diameter of 4cm

Length of circumference is 2πr
2 π r and r is equal to 2 cm
I.e 12.5 cm

Posted in Mathematics

A box has a length of 5 cm, a width of 10 cm, and a height of 2 cm. The volume of the box is

Volume of Cuboid = l * w * h
Substitute their values,
 
V = 5 * 10 * 2
V = 100 cm³

So, your final answer is 100 cm³

Hope this helps!

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Posted in Mathematics

What is Y squared plus 5Y plus 2Y squared minus 4Y

Y^2 + 5Y + 2Y^2 - 4Y= ?

add up the like terms
(Y^2 + 2Y^2) + (5Y - 4Y)=

=3Y^2 + 3Y

Posted in Mathematics

What is the side length of a cube with a volume of 4913 m3? m

We Know, volume of cube, m³ = 4913
m = ∛4913
m = 17

So, your final answer is 17

Hope this helps!

Posted in Mathematics

What is the volume of a cube with a side of length 11 units?

There is not enough information we need to know the other 2 sides

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Posted in Mathematics

A square with side length of X+6. What is the perimeter?

We Know, perimeter of square = 4* side length
P = 4 *(x+6)
P = 4x+24

So, your final answer is 4x+24

Hope this helps!

Posted in Mathematics

A rectangle has an area of 3 square feet and a width of 1/2 foot. What is the length of the rectangle ?

We Know, Area = Length * Width
Here, A = 3
W = 1/2

Substitute it into the expression,
3 = L * 1/2
L = 3/ 1/2
L = 3/2 ft²

So, the length of the rectangle would be 3/2 ft²

Hope this helps!

Posted in Mathematics

Five Squared in standard form

5 times 5 equals 25 so 5x5+=25 because five to the second power equals that.

Posted in Mathematics

Find the area of A rectangle with a length of 3 inches and a width of 1/8 inch

Area= length * width
Therefore, you do 3*1/8
ie 3/8

idk if its right  :/

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Posted in Mathematics

The slope of diagonal AB is , _ and its equation _ is .

Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through theses points will be:
m=(y₂-y₁)/(x₂-x₁)

We have two points A(-2,-2) and B(2,-2); therefore the slope will be:
m=(-2+2)/(2+2)=0/4=0

slope-intercept form:
y=mx +b
m=slope
b=y-intercept =-2

y=0x-2
y=-2

Answer: The slope of diagonal AB is 0 and its equation is y=-2

Posted in Mathematics

How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)

Hope this helps!

Posted in Mathematics

What is the absolute value of 4+7i is equal to the square root of ______

Answer:

The absolute value of 4+7i is equal to \sqrt{4^{2}+7^{2}}.

The absolute value of the 4+7i be \sqrt{65}.

Step-by-step explanation:

The absolute value is given by .

|a + bi| = \sqrt{a^{2}+b^{2}}

Now find the absolute value of the 4+7i.

|4+ 7i|= \sqrt{4^{2}+7^{2}}

|4+ 7i| = \sqrt{16+49}      

|4+ 7i| = \sqrt{65}  

Therefore the absolute value of the 4+7i is \sqrt{65} .  

Posted in Mathematics

You are spreading fertilizer on a golf course at the rate of 40 pounds per 10000 square feet. If the course is 320 acres, how many tons of fertilizer will be needed?

If you are spreading fertilizer on a golf course at the rate of 40 pounds per 10,000 square feet and the course is 320 acres, you can calculate the amount of fertilizer that will be needed by converting acres to square feet. So, 320 acres are 13,939,200 square feet which means you will need 55,756.8 pounds of fertilizer. 

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Posted in Mathematics

How many square inches are in 60 square feet?

60 square ft converts to 8640 square inches


I hope this helps!

Posted in Mathematics

The area of a circle is 50.24 square centimeters what is the diameter

I hope this helps you




Area=pi×r^2



50.24=3.14×r^2


r^2=16


r=4

Posted in Mathematics

A ladder 6 meters in length leans against a wall. the base of the ladder is 2 meters away from the base of the wall. how far up the wall does the ladder reach to the nearest tenth?

Dear Solana1, we will use the Pythagorean Theorem to solve this problem. First, we identify the length of the ladder as the hypotenuse and the distance the ladder is from the base of the wall as one of the legs. The unknown variable, "how far up the wall" is the other value for the leg. Hence, a^2 + b^2 = c^2.. This gives us 2 squared + x squared = 6 squared. We do the math and we get 4 + x squared = 36. We solve for x, we get the square root of 32, which is approximately 5.7. Best.

Posted in Mathematics

The side length of a cube is square root of three. Which answer is a rational value? A) the diagonal of HE top square B) the total area of the front and bottom square C) the perimeter of the front and bottom squares D) the volume

The correct answer of the given question above would be option D. Based on the given description above, if the side length of a cube is square root of three, the answer that is a rational value would be the volume. Hope this is the answer that you are looking for. 

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