All categories

3 years ago

Answer and please show the work !

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Answer:

Option A for part A and $79 for part B

Step-by-step explanation:

You might be interested in

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

3 years ago

In the Metric System: As you move from a smaller unit to a larger unit, the number of larger units required will be LESS. Theref

3241004551 [841]

Answer:

True

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Can anyone help me please

Lena [83]

Answer:

$55.24

Step-by-step explanation:

Add $32.78 + $27.24 + $5.22

= 65.24

Subtract 10

= $55.24

4 0

3 years ago

Read 2 more answers

How do i rearrange the formula <br><br> w = x^2 - 2yz<br><br> to make y the subject?

iogann1982 [59]

Solve for y by simplifying both sides of the equation, then isolating the variable.
y = x^2/2^z - w/2z

7 0

4 years ago

HELP GIVING BRAINIEST

iren [92.7K]

Answer:

m<ACD = $50^{o}$

Step-by-step explanation:

From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.

In the triangle ACD:

<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)

<ACD + 40 + 90 = 180

<ACD + 130 = 180

<ACD = 180 - 130

<ACD = $50^{o}$

With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is $50^{o}$ .

3 0

3 years ago