Find all the whole number solutions of the congruence equation

(3x + 4) = 1 mod 13

Mickaella Yzavette
2022-06-02

Find all the whole number solutions of the congruence equation

(3x + 4) = 1 mod 13

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An adventurous archaeologist crosses between two rock cliffs by slowly going hand-over-hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope (Fig. 1) The rope will break if the tension in it exceeds $4.50\cdot {10}^{4}$N and our hero's mass is 86.5 kg.

Figure 1 a) If the angle $\theta $ is ${13.0}^{\circ}$, find the tension iin the rope.

b) What is the smallest value the angle $\theta $ can have if the rope is not to break?

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a)

b)

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(a) What is the coefficient of kinetic friction on the horizontal surface?

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Which of the following fractions below are proper fractions?

Also, which of those fractions are improper fractions?

$3,\text{}\frac{3}{2},\text{}\frac{2}{3},\text{}\frac{8}{3},\text{}\frac{1}{3}$

Also, which of those fractions are improper fractions?