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3 years ago

the ratio of 3 numbers is 2:3:4.the largest number is 10 more than the smallest. what is the middle number

1 answer:

3 0

See, pls, the offered decision:
1. this ratio has another form: 2x/3x/4x;
2. the difference between the largest and the smallest is 4x-2x=10.
Then x=5, and the sequence of numbers is 10/15/20, where 15 is the middle number.
Answer: 15.

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Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

2 years ago

Pleaseee help me!! I have less than 30 mins :(

Zanzabum

Distribute the numbers, solve for y. y= 4

6 0

3 years ago

Read 2 more answers

What equation has the solution n=-2/3? A: 4n+5=7/3 B: 2n+4/3=1 C: 4n+7/3=5 D: 2n+1=4/3

serious [3.7K]

A has the solution of -2/3.

6 0

3 years ago

In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8

Lunna [17]

Answer:

option A is the right option.

Here,

<3=105°

<1=<3(being vertically opposite angles)

<1=105°

Explanation:

Please see the attached picture.

There,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.