Maths-
General
Easy

Question

The formula d equals fraction numerator square root of 15 W end root over denominator 3.14 end fraction gives the diameter d, in inches, of a rope needed to lift a weight of w, intons. How much weight can be lifted with a rope that has a diameter of 4in?

hintHint:

Rearrange the equation and then solve for W.

The correct answer is: 10.5169 tons of weight can be lifted with a rope that has a diameter of 4in


    Complete step by step solution:
    Here we have the formula to be d equals fraction numerator square root of 15 W end root over denominator 3.14 end fraction horizontal ellipsis left parenthesis straight i right parenthesis
    Given that , d = 4
    On squaring (i), we can have d squared equals fraction numerator 15 W over denominator 9.8596 end fraction

    not stretchy rightwards double arrow 15 W equals d squared cross times 9.8596
    not stretchy rightwards double arrow 15 W equals 16 cross times 9.8596
    not stretchy rightwards double arrow 15 W equals 157.7536
    not stretchy rightwards double arrow W equals 10.5169 text  tons  end text
    10.5169 tons of weight can be lifted with a rope that has a diameter of 4in.

    Related Questions to study

    General
    Maths-

    Describe how would you solve the equation . How is this solution method to be interpreted if the equation had been written in radical form instead?
     

    Describe how would you solve the equation . How is this solution method to be interpreted if the equation had been written in radical form instead?
     

    Maths-General
    General
    Maths-

    Determine whether the data are best modelled by a linear , quadratic or exponential function ?

    Determine whether the data are best modelled by a linear , quadratic or exponential function ?

    Maths-General
    General
    Maths-

    Neil said that – 3 and 6 are the solutions to square root of 3 x plus 18 end root equals x. What error did Neil make?

    Neil said that – 3 and 6 are the solutions to square root of 3 x plus 18 end root equals x. What error did Neil make?

    Maths-General
    parallel
    General
    Maths-

    The owner of a farming store tracks the cost of bubble wrap for packing pictures like the one shown. How can you use the data to estimate the cost of the bubble wrap for a picture with a length of 75 in.

    The owner of a farming store tracks the cost of bubble wrap for packing pictures like the one shown. How can you use the data to estimate the cost of the bubble wrap for a picture with a length of 75 in.

    Maths-General
    General
    Maths-

    Determine whether the data are best modelled by a linear , quadratic or exponential function ?

    Determine whether the data are best modelled by a linear , quadratic or exponential function ?

    Maths-General
    General
    Maths-

    Do the data suggest a linear . quadratic or an exponential function ? Use regression to find a model for each data set.

    Do the data suggest a linear . quadratic or an exponential function ? Use regression to find a model for each data set.

    Maths-General
    parallel
    General
    Maths-

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Maths-General
    General
    Maths-

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Maths-General
    General
    Maths-

    Give an example of a radical equation that has no real solutions. Explain your reasoning

    Give an example of a radical equation that has no real solutions. Explain your reasoning

    Maths-General
    parallel
    General
    Maths-

    Kiyo used a quadratic function to model data with constant first differences . Explain the error kiyo Made .

    Kiyo used a quadratic function to model data with constant first differences . Explain the error kiyo Made .

    Maths-General
    General
    Maths-

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Determine whether a linear , quadratic or exponential function is the best model for the data in each table .

    Maths-General
    General
    Maths-

    Why does solving a radical equation sometimes result in an extraneous solution?

    Why does solving a radical equation sometimes result in an extraneous solution?

    Maths-General
    parallel
    General
    Maths-

    Solve the radical equation cube root of x minus 2 equals 7 Check for extraneous solutions

    Solve the radical equation cube root of x minus 2 equals 7 Check for extraneous solutions

    Maths-General
    General
    Maths-

    How can you solve equations that include radicals or rational exponents?

    How can you solve equations that include radicals or rational exponents?

    Maths-General
    General
    Maths-

    The average rate of change of a function is less from x= 1 to x= 4 than from x= 5 to x= 8 . What type of function could it be? Explain.

    The average rate of change of a function is less from x= 1 to x= 4 than from x= 5 to x= 8 . What type of function could it be? Explain.

    Maths-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.