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tensa zangetsu [6.8K]

2 years ago

7

John rides his horse with a constant speed of 13 kilometers an hour how long will he take to travel a distance of 28.2 kilometer

s

1 answer:

Y_Kistochka [10]2 years ago

8 0

Speed x time to find distance

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(cotx+cscx)/(sinx+tanx)

Butoxors [25]

Answer: $\bold{\dfrac{cot(x)}{sin(x)}}$

<u>Step-by-step explanation:</u>

Convert everything to "sin" and "cos" and then cancel out the common factors.

$\dfrac{cot(x)+csc(x)}{sin(x)+tan(x)}\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)}{1}+\dfrac{sin(x)}{cos(x)}\bigg)\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg[\dfrac{sin(x)}{1}\bigg(\dfrac{cos(x)}{cos(x)}\bigg)+\dfrac{sin(x)}{cos(x)}\bigg]\\\\\\\bigg(\dfrac{cos(x)}{sin(x)}+\dfrac{1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)}{cos(x)}+\dfrac{sin(x)}{cos(x)}\bigg)$

$\text{Simplify:}\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\div\bigg(\dfrac{sin(x)cos(x)+sin(x)}{cos(x)}\bigg)\\\\\\\text{Multiply by the reciprocal (fraction rules)}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)cos(x)+sin(x)}\bigg)\\\\\\\text{Factor out the common term on the right side denominator}:\\\\\bigg(\dfrac{cos(x)+1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)(cos(x)+1)}\bigg)$

$\text{Cross out the common factor of (cos(x) + 1) from the top and bottom}:\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times\bigg(\dfrac{cos(x)}{sin(x)}\bigg)\\\\\\\bigg(\dfrac{1}{sin(x)}\bigg)\times cot(x)}\qquad \rightarrow \qquad \dfrac{cot(x)}{sin(x)}$

6 0

3 years ago

Harold bought 2 pairs of sandals for the same price. He also bought a pair of socks for $3. How much did one pair of sandals cos

DochEvi [55]

The answer would be each pair of sandals costed $14
$14+$14=28+$3=$31

6 0

3 years ago

Lol I’m dumb please help

NeX [460]

The answer is 50, just divide 10 and 2, you get 5 and multiply the 5 with the 10

5 0

2 years ago

Read 2 more answers

What is 1+12 just to get free brainliest

tino4ka555 [31]

Answer:

1+12

Step-by-step explanation:

can be expressed as

1+12

=13

5 0

2 years ago

Read 2 more answers

Find the ratio 2 1/2 to 6 1/2

ivanzaharov [21]

Answer:

The ratio 2 1/2 to 6 1/2 is

$\frac{5}{13}\\or\\5:13$

Step-by-step explanation:

Ratio:

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.

It is also the Fraction

.

For example, if a bowl of fruit contains eight apples and six kiwis, then the ratio of apples to kiwis is eight to six.

i.e 8:6, which is equivalent to the ratio 4:3.

Now here,

$2\frac{1}{2}=\frac{4+1}{2}\\\\2\frac{1}{2}=\frac{5}{2}\\\\and\\\\6\frac{1}{2}=\frac{12+1}{2}\\\\6\frac{1}{2}=\frac{13}{2}$

Ratio of 2 1/2 to 6 1/2

$\frac{\frac{5}{2}}{\frac{13}{2}} = \frac{5}{13}\ \textrm{The number 2 will be cancelled from Numerator and Denominator} \\\\Hence,\\Final\ Ratio\ is\ 5 :13$

OR

$\frac{5}{13}$

6 0

3 years ago