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2 years ago

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the square?

Mathematics

1 answer:

Stells [14]2 years ago

7 0

Answer:

Step-by-step explanation:

The diagonal of a square has a length of x sqrt(2), where x is the side length. This means the perimeter of the square is 4 (11.3/sqrt(2)), which means the perimeter is approx. 4*8, which is 32

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The volume of a sphere can be found using the formula V = πr . If the sphere has a diameter of 10x y z mm, what is the volume of

viva [34]

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

8 0

2 years ago

5(n–2)=5n–10 What is the awnser

Leokris [45]

Answer:

Anything

Step-by-step explanation:

5n - 10 = 5n - 10

It doesn't matter what you put in for n, the equality can never be anything but an equality.

Suppose n = 10,000,000

Then 5*10,000,000 - 10 = 5*10,000,000

6 0

2 years ago

Read 2 more answers

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

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5 0

1 year ago

Read 2 more answers

Find: (6m5 3 â€"" m3 â€"" 4m) â€"" (â€""m5 2m3 â€"" 4m 6) Write subtraction of a polynomial expression as addition of the additi

aliina [53]

The subtraction in the standard form of the polynomial is $\rm 7m^5-3m^2-3$ .

Given that

Expression; $\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)$ .

We have to determine

The subtraction of a polynomial.

According to the question

Expression; $\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)$ .

To find the subtraction of the polynomial follow all the steps given below.

Step1; Write the expression as an additive inverse.

$\rm (6m^5 + 3 - m^3 -4m) -(-m^5 + 2m^3 - 4m + 6)\\\\\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)$

Step2; Rewrite terms that are subtracted as the addition of the opposite.

$\rm (6m^5 + 3 - m^3 -4m) +(m^5 -2m^3 +4m - 6)\\\\6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)$

Step3; Group-like terms.

$\rm 6m^5 + 3 + (-m^3) + (-4m) + m^5 + (2m^3) + 4m + (-6)\\\\(6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\$

Step4; the resulting polynomial in standard form is,

$\rm (6m^5 + m^5) + [3 + (-6)] + [(-m^3) + (-2m^3)] + [(-4m) + 4m]\\\\ 7m^5-3m^2-3$

Hence, the subtraction in the standard form of the polynomial is $\rm 7m^5-3m^2-3$ .

To know more about Polynomial click the link given below.

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3 0

1 year ago

PLEASE HELP ME THIS QUESTION! I'LL VOTE FOR YOU ARE BRAINLETS.

BARSIC [14]

Is this is text book because if it is first you can look back at the end of the text book and it will give you your answer or second if it’s a text book you can use the app Slader and it should give you answers!

4 0

3 years ago