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3 years ago

A car is 200 km from its destination after an hour and 80 km from its destination after 3 hour

1 answer:

4 0

200 - 80 is equal to 120. So the car traveled 120 km in 3 hours. It travels at an average of 120/3 = 40 km/hr, and will reach its destination in 2 hours.

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What is equivalent to 36/54

mina [271]

Answer:

18/27 would be a equivalent fraction to 36/54

Step-by-step explanation:

36/2=18 and 54/2=27

Therefore, 18/27

5 0

3 years ago

Verify the identity. 4 csc 2x = 2 csc2x tan x

vlada-n [284]

Step-by-step explanation:

$4csc(2x) = 2csc^2(x) tan(x)$

We start with Left hand side

We know that csc(x) = 1/ sin(x)

So csc(2x) is replaced by 1/sin(2x)

$4 \frac{1}{sin(2x)}$

Also we use identity

sin(2x) = 2 sin(x) cos(x)

$4 \frac{1}{2sin(x)cos(x)}$

4 divide by 2 is 2

Now we multiply top and bottom by sin(x) because we need tan(x) in our answer

$2\frac{1*sin(x)}{sin(x)cos(x)*sin(x)}$

$2\frac{sin(x)}{sin^2(x)cos(x)}$

$2\frac{1}{sin^2(x)} \frac{sin(x)}{cos(x)}$

We know that sinx/ cosx = tan(x)

Also 1/ sin(x)= csc(x)

so it becomes 2csc^2(x) tan(x) , Right hand side

Hence verified

6 0

3 years ago

(9b+7)+(4x-3)+(8n+5)=? (Simplify your answer.)

uysha [10]

Answer:

9b+8n+4x+9

Hope that helps!

8 0

3 years ago

Read 2 more answers

Evaluate 9p^2 for p=4 . When p=4,9p^2=?

Licemer1 [7]

Answer:

144

Step-by-step explanation:

Put the number where the variable is and do the arithmetic.

9p^2 = 9·4^2 = 9·16

9p^2 = 144 . . . . when p=4

6 0

3 years ago

There are two cookie jars: jar 1 contains two chocolate chip cookies and three plain cookies, and jar 2 contains one chocolate c

vesna_86 [32]

Answer:

P = 0.55 or 55 %

Step-by-step explanation:

First step: Fred has probability of 0,5 when chossing jar 1 or jar 2

Second step : The probability of chossing one chocolate chp cookie in jar 1 is 3/5 and from the jar 2 is 1/2

Then the probability of Fred to get a chocolate chip cookie is

P ( get a chocolate chip cookie ) =( 0.5 * 3/5) +( 0.5* 1/2)

P = 0.3 + 0.25

P = 0.55 or 55 %

8 0

3 years ago