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solving variables on both sides​

Answer:

[tex]9 - 4\sqrt{2}[/tex]

Step-by-step explanation:

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex]

tan60° = [tex]\sqrt{3}[/tex]

tan45° = 1

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex]

(2sin60°)(3tan60°) - (4tan45°)(2cos45°)

now substitute the values of each trigonometrical angles

[tex](2*\frac{\sqrt{3} }{2} )(3*\sqrt{3} ) - (4*1)(2*\frac{1}{\sqrt{2} } )[/tex]

[tex]\sqrt{3} * (3\sqrt{3}) - 4*(\frac{2}{\sqrt{2} } )[/tex]

[tex]3*3 - 4*\frac{2}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} }[/tex]

[tex]9 - 4 *\frac{2\sqrt{2} }{2}[/tex]

[tex]9 - 4 * \sqrt{2}[/tex]

[tex]9 - 4\sqrt{2}[/tex]

Answer:

x = 5     y = 2

Step-by-step explanation:

3x + 2(3x - 13) = 19

3x + 6x - 26 = 19

9x = 45

x = 5

y = 3(5) - 13

y = 15 - 13

y = 2

64,872 rounded to the nearest hundred should be 64,900

Answer:

64900

Step-by-step explanation:

Look at number after hundred's place

if its 5 or higher round up

if its 4 or less round down

Answer:

Step-by-step explanation:

[tex]h(t)=-16t^2+v_0t+h_0[/tex] where

h(t) is the height of the ball after a certain amount of time has gone by,

-16t² is the pull of gravity in ft/s/s,

v₀t is the initial upwards velocity, and

h₀ is the height from which the ball was initially thrown. Our equation is then, filling in the info in the correct places:

[tex]h(t)=-16t^2+128t+4[/tex] where 128 is the given initial velocity and 4 is the number of feet from which the ball was initially launched.

Hope this help!!!

Have a nice day!!!

The answer would be about 85.5%

Answer:

It would be B

Step-by-step explanation:

if you divide 3486.25 divided by 4175 it will equal 0.83 which equal 83% it can be ethier a B or a B-

Mark as braainllest if it helps!!!

Answer:

3. would be one above the negative 5

4. 3 up from positive 4

5. would be on the negative 2

write the letters on those points respectively.

Answer:

The number of employees work in clothing is 1260.

Step-by-step explanation:

Out of 1,620 workers in a 7/9 textile company work in clothing and the rest in administrative tasks. How many workers work in clothing?

Total workers = 1620

employees works for clothing = 7/9

So, the number of employees = 7/9 x 1620 = 1260

Usando la informacion dada, veremos que el número de trabajadores que trabajan en confección es 1,260.

Sabemos que hay un total de 1,620 trabajadores en la empesa textil.

7/9 de ellos trabajan en confección.

Queremos ver el número de trabajadores que trabaja en confección, para ello, simplemente debemos multiplicar la fracción del número total que trabaja en confección por el número total, es decir:

N = (7/9)*1,620 = 1,260

1,260 trabajadores trabajan en confección.

sí quieres aprender más, puedes leer:

https://brainly.com/question/12668006

Answer:

V ≈ 254.5 in³

Step-by-step explanation:

The volume (V) of the cylindrical tube is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )

Answer:

-3,000

Step-by-step explanation:

got it correct on edg

Answer:

-3000

Step-by-step explanation:

Right on edge 2021

5x - 17 = 48

5x − 17 + 17 = 48 + 17

5x = 65

x = 13

180 - 48 = 132

y = 132

T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

The coordinate of the point  on the directed line segment that partitions the segment into a ratio of 4 to 3 is (29/7,50/7)

The given parameters are:

A = (-1,6)

B = (8,8)

Ratio, m : n = 4 : 3

The coordinate at the partition is calculated using:

[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1,my_2 + ny_1)[/tex]

So, we have:

[tex](x,y) = \frac{1}{4 + 3} * (4 * 8 + 3 * -1,4 *8 + 3 * 6)[/tex]

Evaluate

[tex](x,y) = \frac{1}{7} * (29,50)[/tex]

Evaluate the product

(x,y) = (29/7,50/7)

Hence, the coordinate of the point is (29/7,50/7)

Read more about line partition at:

https://brainly.com/question/12959377

#SPJ1

Answer:

170°

Step-by-step explanation:

The total degrees of a circle is 360°. So the math is pretty straight forward.

130 + 60 = 190           (First you find what the known degrees are together)

360 - 190 = 170          (Next you take that added total and subtract it from 360)

x = 170                        (And there you go! Your answer!)

I hope this helped :)

Answer:

ANSWER

C.

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

EXPLANATION

We want to multiply;

(3 {x}^{2} + 5x + 1)( {x}^{2} - 2x + 4)(3x

2

+5x+1)(x

2

−2x+4)

We use the distributive property to obtain:

3 {x}^{2} ( {x}^{2} - 2x + 4) + 5x( {x}^{2} - 2x + 4) + 1( {x}^{2} - 2x + 4)3x

2

(x

2

−2x+4)+5x(x

2

−2x+4)+1(x

2

−2x+4)

We expand to get:

3 {x}^{4} - 6 {x}^{3} + 12 {x}^{2} + 5 {x}^{3} - 10 {x}^{2} + 20x + {x}^{2} - 2x + 43x

4

−6x

3

+12x

2

+5x

3

−10x

2

+20x+x

2

−2x+4

Regroup similar terms:

3 {x}^{4} - 6 {x}^{3} + 5 {x}^{3} + 12 {x}^{2} - 10 {x}^{2} + {x}^{2} + 20x - 2x + 43x

4

−6x

3

+5x

3

+12x

2

−10x

2

+x

2

+20x−2x+4

Combine similar terms:

3 {x}^{4} - {x}^{3} + 3{x}^{2} + 18x + 43x

4

−x

3

+3x

2

+18x+4

The correct choice is C.

Answer:

190 square inches

Step-by-step explanation:

Surface area of a rectangular prism formula is given as

2(LW + LH + WH)

Where

L = Length = 5in

H = Height = 3in

W = Width = 10in

Hence:

Surface area = 2(5 × 10 + 5 × 3 + 3 × 10) square inches

= 2 × (50 + 15 + 30) square inches

= 2 × (95) square inches

= 190 square inches

Therefore, the surface area of Erin's jewelry box is 190 square inches

Answer:

Step-by-step explanation:

Number 5

Answer:

$19,000

Step-by-step explanation:

The original or initial price of the car = discount price + amount by which the car was reduced

$16,000 + $3000 = $19,000

The percentage decrease in price = (amount discounted / original price) x 100

( $3000 / $19,000) x 100 = 15.79%

Answer:

sinA = - [tex]\frac{\sqrt{5} }{\sqrt{6} }[/tex]

Step-by-step explanation:

Given

tanA = - [tex]\frac{\sqrt{5} }{1}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]

This is a right triangle with opposite = [tex]\sqrt{5}[/tex], adjacent = 1 and

hypotenuse h² = ([tex]\sqrt{5}[/tex] )² + 1² = 5 + 1 = 6 ⇒ h = [tex]\sqrt{6}[/tex]

Since tanA < 0 and cosA > 0 then A is in the 4th quadrant where sinA < 0

Then

sinA = - [tex]\frac{opposite}{hypotenuse}[/tex] = - [tex]\frac{\sqrt{5} }{\sqrt{6} }[/tex]

Answer:

B 15 has to be the answer i think but ion fully know

Answer:

b 15%

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

Step-by-step explanation:

none of the options is correct

the answer is (5,0)

Answer:

option 2 : ( 8 , 15 )

Step-by-step explanation:

A ( 6 , 5 )

Mid point ( 7, 10)

B ( x , y )

x coordinate of B

[tex]Mid point = \frac{6 + x }{2}\\\\7 = \frac{6 +x }{2}\\\\7 \times 2 = 6+x\\\\14 - 6= x\\\\8 = x[/tex]

y coordinate of B

[tex]midpoint = \frac{y +5 }{2}\\\\10 = \frac{y +5 }{2}\\\\10 \times 2 = y + 5\\\\20 - 5 = y \\\\15 = y[/tex]

B = ( 8 , 15)

Answer:

[tex]x^{\frac{1}{8} } y^{8}[/tex]

Step-by-step explanation:

Given :

[tex](x^\frac{1}{4} y^{16} )^{1/2}[/tex]

Now,

[tex](x^\frac{1}{4} y^{16} )^{1/2}\\x^{\frac{1}{8} } y^{8}[/tex]

Therefore, expression is equivalent to [tex]x^{\frac{1}{8} } y^{8}[/tex]

Answer:

P(-5,-3)

Step-by-step explanation:

directed line segment  AB where

A(-10,-5) and B(5,1)

Vector of segment AB = B-A = <15,6>

Add one third of the vector length to A to get the partition point, P

A(-10,-5) + <15,6>/3 =A(-10,-5)+<5,2> = P(-5,-3)

Answer:

[tex]5x^{2} -4x +5[/tex]

Step-by-step explanation:

Answer:

55

Step-by-step explanation:

55 has both its tens and units the same and when you reverse it, it is still 55 hence 55+55 is 110

Given : The tens and units digit of the number are the same

Let the given number be : NN

Given : When the number is added to its reverse, the sum is 110

As the tens and units digit of the number are same, the reversed number is also : NN

⇒   NN + NN = 110

⇒   2NN = 110

⇒   NN = 55

Answer: The Number is 55

Answer:

D. (5,3)

Step-by-step explanation:

The solution is (x,y). so in this case, you find the point where both arrows meet.

on the x-axis, which is positive right 5, and positive 3 up, on the y-axis

Answer:

(5,3)

Step-by-step explanation:

The solution set is where the two lines cross

The lines cross at x = 5  and y = 3