If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.​

Answer:

1/144

Step-by-step explanation: I presume..

And recall something from Algebra...

I hope it helps...

Square it

And reverse it because of the negative

It is a fraction

Answer:

[tex] = { \sf{ \frac{1}{ 144 } }}[/tex]

Step-by-step explanation:

[tex] = { \tt{ \frac{1}{ {12}^{2} } }} = \frac{1}{144} [/tex]

Answer:

[tex] \rm \displaystyle x \approx \bigg \{ {59.3}^{ \circ} + \frac{n\pi}{2} , - {14.3}^{ \circ} + \frac{n\pi}{2} \bigg \}[/tex]

Step-by-step explanation:

we would like to solve the following trigonometric equation:

[tex] \rm \displaystyle \sin(x) \cos(3x) + \cos(x) \sin(3x) = \tan( {140}^{ \circ} ) [/tex]

the left hand side can be rewritten using angle sum indentity of sin which is given by:

[tex] \rm \displaystyle \sin( \alpha + \beta ) = \sin( \alpha ) \cos( \beta ) + \cos( \alpha ) \sin( \beta ) [/tex]

therefore Let

Thus substitute:

[tex] \rm \displaystyle \sin(x + 3x) = \tan( {140}^{ \circ} ) [/tex]

simplify addition:

[tex] \rm \displaystyle \sin(4x) = \tan( {140}^{ \circ} ) [/tex]

keep in mind that sin(t)=sin(π-t) saying that there're two equation to solve:

[tex] \begin{cases} \rm \displaystyle \sin(4x) = \tan( {140}^{ \circ} ) \\ \\ \displaystyle \sin(\pi - 4x) = \tan( {140}^{ \circ} ) \end{cases}[/tex]

take inverse trig and that yields:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) \\ \\ \displaystyle \pi - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) \end{cases}[/tex]

add π to both sides of the second equation and that yields:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) \\ \\ \displaystyle - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi\end{cases}[/tex]

sin function has a period of 2nπ thus add the period:

[tex] \begin{cases} \rm \displaystyle 4x= { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) + 2n\pi\\ \\ \displaystyle - 4x = { \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi + 2n\pi\end{cases}[/tex]

divide I equation by 4 and II by -4 which yields:

[tex] \begin{cases} \rm \displaystyle x= \frac{ { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) }{4} + \frac{n\pi}{2} \\ \\ \displaystyle x = - \frac{{ \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi}{4} - \frac{n\pi}{2} \end{cases}[/tex]

recall that,-½(nπ)=½(nπ) therefore,

[tex] \begin{cases} \rm \displaystyle x= \frac{ { \sin}^{ - 1} ( \tan( {140}^{ \circ} ) ) }{4} + \frac{n\pi}{2} \\ \\ \displaystyle x = - \frac{{ \sin}^{ - 1}( \tan( {140}^{ \circ} ) ) + \pi}{4} + \frac{n\pi}{2} \end{cases}[/tex]

by using a calculator we acquire:

[tex] \begin{cases} \rm \displaystyle x \approx - {14.3}^{ \circ} + \frac{n\pi}{2} \\ \\ \displaystyle x \approx {59.3}^{ \circ} + \frac{n\pi}{2} \end{cases}[/tex]

hence,

the general solution for: for the trig equation are

[tex] \rm \displaystyle x \approx \bigg \{ {59.3}^{ \circ} + \frac{n\pi}{2} , - {14.3}^{ \circ} + \frac{n\pi}{2} \bigg \}[/tex]

it would be 30ft tall, because each inch = 5 ft, therefore, 6 x 5 = 30.

Answer:

30 ft

Step-by-step explanation:

5 X

— = —

1 6

5•6=30

30/1= 30

therefore the answer is 30 ft

Answer:

-3 < x <= 3

Step-by-step explanation:

draw it on a number line to check

Answer:

-3>x[tex]\leq \\[/tex]3

Step-by-step explanation:

> is the greater than

< is the less than

hope this helped have a great day

Answer:

this is a very big number

Step-by-step explanation:

(7000000000)⁷⁰⁰⁰⁰⁰⁰

Answer:

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

So here, for basically any quadratic function, the domain is: [tex]x \in \mathbb{R}[/tex].

Now right off the bat, that means C and D are out.

Also, since this graph has a negative sign in front of the x^2, that means it is facing downwards and so it has a maximum. The only option that leaves us with is A.

Answer:

Remember that a vector translation can be written as:

T(a, b)

And if we apply this to a random point, (x, y), the translation gives:

T(a, b)(x, y) = (x + a, y + b)

now, remember that a general line can be written as:

y = m*x + s

Then a point of that line can be written as: (x, m*x + s)

Then if we apply the translation to a point in the line, we get:

T(a, b)(x, m*x + s) = (x + a, m*x + s + b)

Here we have two lines:

2x - 3y - 1 = 0

2x - 3y + 5 = 0

First, let's rewrite both of these in the slope-intercept form:

y = (2/3)*x - 1/3

y = (2/3)*x + 5/3

Now let's assume that we apply a translation to the first line, that has points of the form (x,  (2/3)*x - 1/3), such that we want to get points of the form:

(x, (2/3)*x + 5/3).

Then we must have:

T(a, b)(x,  (2/3)*x - 1/3) = (x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

Then we need to solve:

(x + a,  (2/3)*x - 1/3 + b) = (x, (2/3)*x + 5/3).

This means that:

x + a = x

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

From the first equation, we can see that a = 0

Now we can solve the second one to find the value of b.

(2/3)*x - 1/3 + b = (2/3)*x + 5/3

subtracting (2/3)*x in both sides, we get:

-1/3 + b = 5/3

b = 5/3 + 1/3

b = 6/3 = 2

b = 2

Then the vector translation is:

T(0, 2)

So it moves the whole line 2 units upwards.

Answer:

here's the answer to your question

Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to x² +25 is

(x-5)²+10x

or

(x+5)²-10x

Answer:

1.665e+21

Step-by-step explanation:

hope it help

make it as brininst

Answer:

[tex]10^{12}\left(5\cdot \:10^8\right)\left(3.33\cdot \:10^0\right)[/tex]

Exponent rule:  [tex]a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]10^{12}\cdot \:10^8\cdot \:10^0=\:10^{12+8+0}[/tex]

[tex]5\cdot \:3.33\cdot \:10^{12+8+0}[/tex]

Now, add 12 + 8 + 0 =20

[tex]=5\cdot \:3.33\cdot \:10^{20}[/tex]

Multiply 5 × 3.33=16.65

[tex]=10^{20}\cdot \:16.65[/tex]

Convert to decimal form

[tex]10^{20}=1.0E20[/tex]

Multiply

[tex]16.65\cdot \:1.0E20=1.665E21[/tex]

OAmalOHopeO

Step-by-step explanation:

The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.

s

SO, LAST IS CORRECT

?ARK ME AS BRAILIEST

Answer:

jsjzbdjwbxjdbwisjsobs9fbe

Step-by-step explanation:

hfkdowwhdbhdvsjsh2ivdusvqvduzvqidv

Answer:

Yeeeeaaahhhh its correct.

Answer:

94.2 cm^3.

Step-by-step explanation:

Volume of a cone = 1/3πr^2h

The radius of the cone = 1/2 * 6 = 3

So here the volume is:

1/3 * π *  3^2 * 10

= 94.247

Answer:

A. p2=16

soln:

p=4×4=16

so,

p2=16

Answer:

25

Step-by-step explanation:

<ABD=<BDC

Check it out

Answer:

∠ BDC = 25°

Step-by-step explanation:

Since ABCD is a parallelogram , then

AB and DC are parallel , so

∠ BDC = ∠ ABD = 25° ( alternate angles )

Answer:

No, more information is needed to prove that Amy will get to school first.

Step-by-step explanation:

Even though Amy is traveling at a faster rate than Jeremy, the problem does not say how far away Amy's father's or Jeremy's aunt's houses are from the school.  

Answer:

Step-by-step explanation:

No, the rate with the greater positive rate of change will not necessarily reach the output with the smallest input. The initial value will also affect the outcome. Although Amy is biking at a faster rate of change, Jeremy might get to school before her if his aunt lives closer to the school than her father does.

Explanation: Edge. said so.

Answer:

d + 6

Step-by-step explanation:

Given that :

Number of dogs = d

The sum of the number of the number of dogs and 6 cats is :

This is a straightforward question :

We take the sum of d and 6

Hence, we have

d + 6

Answer:

5/6

Step-by-step explanation:

x²- 3x + 7 / x + 4

when [x = 2]

Putting the value of x,

2² - 3(2) + 7 / 2 + 4

= 4 - 6 + 7 / 6

=5 / 6

9514 1404 393

Answer:

Step-by-step explanation:

The speed is the ratio of the change in distance to the corresponding change in time.

Vehicle A moves from a position of 12 m to one of 28 m in 50 seconds, so its speed is ...

  A = (28 -12)/50 m/s = 16/50 m/s = 0.32 m/s

Vehicle B moves from 0 to 28 m in 50 seconds, so its speed is ...

  B = (28 m)/(50 s) = 0.56 m/s

Answer:

C

Step-by-step explanation:

There isn’t one

Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

Answer:

good evening good evening good evening good evening

Step-by-step explanation:

w

Answer:

∠b = 54°

they add up to 180

7x + 14 + 5x - 26 = 180

12x = 192

x=16

thus ∠b = 54°

Step-by-step explanation:

Answer:

A' (7,-8)

B' (8,-11)

C' (4,-10)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

A will be 7,-8

B will be 8,-11

C will be 4,-10

How?

add 3 to the x coordinate of the original points and -7 to the y coordinate of the original points, Example: 4+3 = 7 and -1+-7 = -8

Answer:

A. 90

Step-by-step explanation:

Correct on EDGE

Answer:

maybe 90

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

Form an equation; since the two sides are the same length set them equal to each other. 2x-9=x+5 the solve

2x=x+14

x=14

then you can plug it back in to check if you want

2(14)-9 = 19

14+5 = 19

Answer:

14

Step-by-step explanation:

2x-9=x+5 (being isosceles triange)

2x-x=5+9

x=14

hope u understood

Answer:

[tex]y=2(x+2)(x-4)[/tex]

Step-by-step explanation:

Hi there!

Factored form: [tex]y=a(x-r)(x-s)[/tex] where r and s are two zeros

Given that the zeros are (-2,0) and (4,0), we know that -2 and 4 are r and s in the above equation. Plug these in:

[tex]y=a(x-(-2))(x-(4))\\y=a(x+2)(x-4)[/tex]

Now, to solve for a, plug in the given point (5,14) as (x,y):

[tex]14=a(5+2)(5-4)\\14=a(7)(1)\\14=7a\\a=2[/tex]

Therefore, a=2. Plug this back into the original equation:

[tex]y=2(x+2)(x-4)[/tex]

I hope this helps!

Answer:

x = 45

Step-by-step explanation:

The angles labeled with the pink x are the same.  Line V and Line X are parallel and alternate interior angles are equal when the lines are parallel.

We know the 3 angles inside the triangle and the sum of the angles of a triangle are 180

x+x+ 2x = 180

4x= 180

4x/4 = 180/4

x = 45