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3 years ago

Find the value of x?

Mathematics

1 answer:

yan [13]3 years ago

6 0

Answer:

x≈20.23

Step-by-step explanation:

$sin\alpha = \frac{opposite}{hypotenuse} \\sin(40) = \frac{13}{x}\\x=\frac{13}{sin(40)} \\$

x≈20.23

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2 years ago

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2 years ago

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3 years ago

A motorboat maintained a constant speed of 12 miles per hour relative to the water in going 45 miles upstream and then returning

Serggg [28]

Answer: Speed of the current is 3 miles per hour.

Step-by-step explanation:

Since we have given that

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Distance traveled upstream = 45 miles

Let the speed of the current be x

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Relative speed for downstream is given by

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Relative speed for upstream is given by

$12-x$

According to question, we have

$\frac{45}{12+x}+\frac{45}{12-x}=8\\\\\frac{45(12-x)+45(12+x)}{(12-x)(12+x)}=8\\\\\frac{45(12-x+12+x)}{144-x^2}=8\\\\\frac{24}{144-x^2}=\frac{8}{45}\\\\45\times 24=8(144-x^2)\\\\45\times 3=144-x^2\\\\135=144-x^2\\\\135-144=-x^2\\\\-9=-x^2\\\\x=\sqrt{9}=\pm3\\\\\text{But x=-3 will be igonored as speed cant be in negative}\\\\x=3\ mile\ per\ hour$

Hence, Speed of the current is 3 miles per hour.

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3 years ago

Find the value of x?​

Find the value of x?