PLEASE HELP ME

Mathematics

1 answer:

Westkost [7]3 years ago

4 0

The correct answer is A

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Jack and Rock agree to meet in London for the weekend. Jack travels 164 miles and Rock travels 106 miles. If Jacks rate of speed

masya89 [10]

$v=\frac{s}{t}\\\\v-velocity;\ s-distance;\ t-time\\\\v=\frac{s}{t}\to vt=s\to t=\frac{s}{v}\\---------------------\\v-Rock's\ veloocity\ (mph)\\v+8-Jack's\ velocity\ (mph)\\s_J=164\ mi-Jack's\ distance\\s_R=106\ mi-Rock's\ distance\\t_J=t_R-times\ are\ equal\\\\therefore:\frac{s_R}{v}=\frac{s_J}{v+8}\\\\subtitute\ values\ of\ distance:$

$\frac{106}{v}=\frac{164}{v+8}\ \ \ \ |cross\ multiply\\\\106(v+8)=164v\\\\106v+848=164v\ \ \ \ |subtract\ 106v\ from\ both\ sides\\\\848=58v\to 58v=848\ \ \ |divide\ btoh\ sides\ by\ 58\\\\v\approx14.6\ (mph)\\\\Answer:\boxed{v+8=(14.6+8)mph=22.6\ mph}$

8 0

4 years ago

How many triangles can be constructed with three sides measuring 11 meters 16meters and 26 meters

Semenov [28]

Answer:

One

Step-by-step explanation:

The most triangles you can make from three given sides is <em>one</em>.

However, you may not be able to make any.

To form a triangle, the sum of the two smaller sides must be <em>greater than</em> the longest side.

16 + 11 > 26, so you can form one triangle: an obtuse scalene triangle.