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umka21 [38]
3 years ago
8

Noor rode her bike two fifth mile in one twelfth hour. At this rate, how far would Noor ride her bike in 1 hour?

Mathematics
2 answers:
Liula [17]3 years ago
8 0
2/5 in 1/12 of an hour

x in 1 hour

So multiply 12 to both fractions

2/5 x 12 in 1/12 x 12 of an hour

We get now:

24/5 in 1 hour

or:

4 4/5 in 1 hour


DENIUS [597]3 years ago
6 0
First convert 1/12 of an hour to minutes 1 hr= 60 minutes 1/12 x 60= 5 minutes ratio and proportion 2/5 / 5= x/60 cross multiply 5x= 24 x= 4 4/5 mi or 4.8 mi
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Write as an expression and simplify:<br> The square of the difference of x and 8y
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6 0
3 years ago
What is the length of side TS?
balandron [24]

Step-by-step explanation:

In order to find the length of side TS, first we need to find the length of side TR which is perpendicular to side QS.

By Geometric mean property:

{TR}  =  \sqrt{6 \times 12}  \\  \therefore \:  {TR}  =  \sqrt{6 \times 6 \times 2}   \\ \therefore \:  {TR}  =  6\sqrt{2}   \\  \\ In \:  right \:  \triangle  \: TRS:  \\ TS^2 = TR^2 + RS^2  \\ \therefore \:  (3x)^{2}  =  {(6 \sqrt{2}) }^{2}  +  {(12)}^{2}  \\  \therefore \:  9x^{2}  =  72 +  144 \\  \therefore \:  9x^{2}  =2 1 6 \\ \therefore \:  x^{2}  = \frac{2 1 6}{9}  \\ \therefore \:  x^{2}  =24 \\ \therefore \: x =  \sqrt{24}  \\  \therefore \: x = 4.89897949 \\ \therefore \: x  \approx \: 4.9 \\ \therefore \: 3x  = 3 \times 4.9 \\ \therefore \: 3x  =14.7 \\    \huge \red{ \boxed{\therefore  \: TS = 14.7 \: units}}

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