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2 years ago

The table shows conversions for common units of length.

Mathematics

2 answers:

Vinvika [58]2 years ago

7 0

The correct answer is 1.609

stiv31 [10]2 years ago

4 0

Kilometers to Miles:

For an approximate result, divide the length value by 1.609

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PLEASE HELP !!?!??!?!?!?!!

tatiyna

Answer:

yes yes no

Step-by-step explanation:

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2 years ago

Prove that if sin (2 + y) = 3 sin (x - y), then tan x = 2 tany.

nignag [31]

Answer:

The proof is given below.

Step-by-step explanation:

Given: ( the correct question and ans is as follow )

sin (x + y) = 3sin ( x - y)

To Prove

tan x = 2 tan y

Proof:

$\sin (x+y) = 3\sin (x-y)$

Using the identities

$\sin (A+B) = \sin A.\cos B + \cos A.\sin B\\and\\\sin (A-B) = \sin A.\cos B - \cos A.\sin B\\$

we get

$\sin x.\cos y + \cos x.\sin y = 3(\sin x.\cos y - \cos x.\sin y)\\\sin x.\cos y + \cos x.\sin y = 3\sin x.\cos y - 3\cos x.\sin y$

Now we will take sin x . cos y to the left hand side and cos x . sin y to the right hand side,we get

$3\sin x.\cos y - \sin x.\cos y = 3\cos x.\sin y +\cos x.\sin y\\2\sin x.\cos y =4\cos x.\sin y\\\sin x.\cos y =2\cos x.\sin y \ \textrm{4 divide by 2}\\ \frac{\sin x}{\cos x} =2\times \frac{\sin y}{\cos y} \\\textrm{we know identity }\\\frac{\sin x}{\cos x} = \tan x\\\frac{\sin y}{\cos y} = \tan y\\\therefore \tan x = 2\tan y\ ...............{PROVED}$

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2 years ago

Scientists determined that Antarctica’s average winter temperature was -34.44 The difference between this temperature and Antarc

Slav-nsk [51]

-34.44 +49.44 = 15

The highest recorded temperature was 15 degrees.

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2 years ago

4 (-3-5) - (10+4x) helpppppp

Lilit [14]

Answer:

The answer would be -4x - 42.

Step-by-step explanation:

Goal: Simplify the equation.

You need to distribute the - sign where it isn't. So the equation should look like this now: 4(-3-5)+-1(10+4x).
Now multiply -1(0+4x): (-1)(10) + -1(4x) to get 4(-3-5) +-10+-4x
Now multiply 4(-3-5): (4)(-3)= -12 / (4)(5) = 20 / -12-20 = -32
The equation should now look like: -32 + -10 + -4x
Next, we need to combine like terms and since the like terms are -32 and -10, the equation should look like: -4x + (-32 + -10).
Add -32 with -10: -32 + -10 = -42.
You can't do anything with the -4x so therefore, the equation would be -4x - 42.

7 0

2 years ago

Places A and B are 100km apart from each other on a highway. A car starts from A and another from B at the same time. If they mo

Mashutka [201]

Answer:

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

Step-by-step explanation:

The calculation of speeds of the cars is given below:-

Assume that the speed of the 1st car which is opening from A = x km/hr

and assume the Speed of the 2nd car which is starting from B

= y km/hr

As we know that

Time = Distance ÷ Speed

So, the distance lies between two places i.e. A and B are

80km d = 80 km

1. now when the car moves in the similar direction

So, the corresponding speed of them = (x + y)km/hr

Time = 8hr

d = 80km

$8 = \frac{80}{(x + y)}\\\\x + y = \frac{80}{8}\\\\x + y = 10 ..... (i)$

2. when two cars moving in the inverse direction,

So, the corressponding speed = (x - y) km / hr

Time = 1 hr 20 minutes

That means

= (1 + 20 ÷ 60) hr

= (80 ÷ 60)

= 4/3 hr

d = 80km

Now

4 ÷ 3 = 80 ÷ (x -y)

x -y = (80 × 3) ÷ 4

x - y = 60 ..... (ii)

Now, we will sum equation 1 and equation 2 we will get

2x = 70

x = 35

now, Put x = 35 in (i) we will get

y = 25

Speed of the first car = x = 35km/hr

Speed of the second car = 25km /hr

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2 years ago