The diagram shows a cubeAh=11.3cn correct to the nearest millimetre calculate the lower bound for the length of an edge of the cub you must show all your working

The Diagram Shows A CubeAh=11.3cn Correct To The Nearest Millimetre Calculate The Lower Bound For The

Answers

Answer 1

Answer:

Lower bound for the length of the edge = 42.5 cm

Step-by-step explanation:

From the picture attached,

FH is the diagonal of square EFGH.

Therefore, length of diagonal FH = [tex]\sqrt{FG^2+HG^2}[/tex]

(By applying Pythagoras theorem)

In triangle AFH,

AH² = AF² + FH²

       = AF² + [tex](\sqrt{FG^2+HG^2})^2[/tex]

       = AF² + FG² + HG²

AH² = 3HG²

(11.3)² = 3(HG²)

HG = [tex]\sqrt{\frac{127.69}{3}}[/tex]

HG = 42.563 cm

For distance correct to the nearest mm, lower bound for the length of the edge = 42.5 cm

And upper bound for the length of the edge = 43.6 cm

The Diagram Shows A CubeAh=11.3cn Correct To The Nearest Millimetre Calculate The Lower Bound For The
Answer 2

The side lengths of a cu be are congruent, so the edge length of the cu be is 65 mm

The length of diagonal A H is given as:

[tex]\mathbf{AH = 11.3cm}[/tex]

Considering triangle A FH, we have:

[tex]\mathbf{AH^2 = A\ F^2 + FH^2}[/tex]

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

Considering triangle HE F, we have:

[tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex]

Substitute [tex]\mathbf{FH^2 = EF^2 + EH^2}[/tex] in [tex]\mathbf{11.3^2 = A\ F^2 + FH^2}[/tex]

[tex]\mathbf{11.3^2 = A\ F^2 + EF^2 + EH^2}[/tex]

The side lengths of a cu be are congruent.

This means that: A F = EF = EH

So, we have:

[tex]\mathbf{11.3^2 = A\ F^2 + A\ F^2 + A\ F^2}[/tex]

Evaluate like terms

[tex]\mathbf{11.3^2 = 3A\ F^2}[/tex]

Evaluate squares

[tex]\mathbf{127.69 = 3A\ F^2}[/tex]

Divide both sides by 3

[tex]\mathbf{42.563= A\ F^2}[/tex]

Take square roots

[tex]\mathbf{6.52= A\ F}[/tex]

Rewrite as:

[tex]\mathbf{A\ F = 6.52cm}[/tex]

Convert to m m

[tex]\mathbf{A\ F = 6.52 \times 10mm}[/tex]

[tex]\mathbf{A\ F = 65.2\ mm}[/tex]

Approximate

[tex]\mathbf{A\ F = 65\ mm}[/tex]

Hence, the edge length is 65 mm

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2/5

Step-by-step explanation:

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Step-by-step explanation:

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Three polynomials are factored below, but some coefficients and constants are missing. All of the missing values of a, b, c, and d are integers.
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Answers

9514 1404 393

Answer:

(a, b, c, d) = (1, -4, 1, -2)(a, b, c, d) = (1, -4, 1, 2)(a, b, c, d) = (1, -4, 2, 6)

Step-by-step explanation:

Once you remove the common factor from the terms, you are looking for factors of the remaining constant term that have a sum equal to the coefficient of the linear term. These factors are the constants in the binomial factors.

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__

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Step-by-step explanation:

Write the equation in slope intercept form. -2x-8y= 24


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Answers

Answer:

y= -2/8x + 3

Step-by-step explanation:

Step-by-step explanation:

The slope-intercept form of the equation is :

y =  mx+b

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Answer:

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Step-by-step explanation:

Answer: 6/9

Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

Given:

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Probability[Choosing red and blue consecutive]

Computation:

Probability of red marble = Number of red marble / Total marble

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Step-by-step explanation:

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Answers

Answer:

9 yards

Step-by-step explanation:

3 yards make 2 skirts

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The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

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Find out more on equation at: https://brainly.com/question/2972832

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Step-by-step explanation:

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Step-by-step explanation:

Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.


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Answers

Answer:

n = 245

Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

look at the graph and count how many squares are needed for the line RS (3) and how many for the line R'S' (9).

this is 1:3 or 1/3

all other sides follow the same ratio.

the point P is diagonally one square down from S and 3 squares down from S'.

Use a table of values to find the solution to the equation f(x)=h(x) where
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Show your work

Answers

9514 1404 393

Answer:

  x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

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This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

__

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

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_____

Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.

~Help please and ty~ ✨Brainilist✨

Answers

Answer:

[tex]\frac{10}{27}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{9} (-\frac{5}{3})=[/tex]

-2 · 5/ -9 · 3 =

10/27 =

[tex]\frac{10}{27}[/tex]

Answer:

[tex]\frac{10}{27}[/tex]

Step-by-step explanation:

[tex]\frac{-2}{9} *\frac{-5}{3}[/tex]

multiply numerator with the other numerator

-2 × -5 = 10 (numerator)

multiply denominator with the other denominator

9 × 3 = 27 (denominator)

put it in its correct order

[tex]\frac{10}{27}[/tex]

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Answers

Answer:

3.75 or 3 3/4

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- Todo ❤️

Step-by-step explanation:

1.5/.4=3.75

Answer:

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Step-by-step explanation:

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Answers

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

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