How can you rewrite simple rational expressions in different forms using long division?
(50 POINTS)PLEASE!!!!!

Answer:

32.8

Step-by-step explanation:

well you need to use soh cah toa. so here we would use sin since we get an opposite side and a hypotenuse. so 45/83 would give us the sin of the sides but since we need to find the angle we take the sin inverse which gives us 32.83139231 which rounds to 32.8

Answer:

17 hours

Step-by-step explanation:

Add up the total amount earned

168+112+196 = 476

Divide by the amount earned per hour

476/28 = 17

17 hours worked over the 3 days

Answer: BX = 7  

======================================

Explanation:

For any rectangle, the diagonals are the same length and they cut each other in half (aka bisect each other).

This means diagonal BD = AC = 14 and BX = BD/2 = 14/2 = 7. The value of AB is never used.

Answer:

7

Step-by-step explanation:

The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

Let ABCD is the isosceles trapezoid.

The small base (BC) of an isosceles trapezoid is x centimeters long.

The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be

AD = 2x - 3

And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be

AB = CD = x + 2

Then the perimeter is the sum of all sides.

If the perimeter of the trapezoid is 26 centimeters.

Then the equation of the perimeter will be

AB + BC + CD + DA = 26

x + 2 + x + x + 2 + 2x - 3 = 26

5x + 1 = 26

Then the correct option is D.

More about the trapezoid link is given below.

https://brainly.com/question/22607187

#SPJ5

Answer:

172

Explanation:

Answer:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

Step-by-step explanation:

∠ABD is the sum of the angles ∠ABC and ∠CBD. In other words:

[tex]\displaystyle m\angle ABD = m\angle ABC + m\angle CBD[/tex]

Substitute in known values:

[tex]\displaystyle \left(64^\circ\right) = m\angle ABC + \left(30^\circ\right)[/tex]

And subtract. Hence:

[tex]\displaystyle m\angle ABC = 34^\circ[/tex]

In conclusion, ∠ABC measures 34°.

9514 1404 393

Answer:

Step-by-step explanation:

"Fixed" expenses are ones that don't change. They stay the same from year to year. Those would include ...

Fixed

"Variable" expenses are ones that change depending on circumstances. Those would include ...

Variable

Answer:  13½

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

hi vọng điêu nay co ich

Answer:

D

Step-by-step explanation:

Point B is (-2,3) then it is shifted (x, y+4)

so, x remains the same by y goes up 4 units

-2,7

Here we want to see which type of set is a band's setlist.

We will see that it is a discrete set.

We can define two types of sets

Continue sets are those, like the name implies, continuous (or dense). Examples can be the set of real numbers.

Discrete sets are those that have "gaps" between consecutive elements. For example, the integer set is a discrete set. Particularly, discrete sets can be quantized (counted).

Now, we have a list of songs, that can be written as:

L  = {song 1, song 2, song 3, ...}

Here we can see that we have separated elements. Thus, this is a discrete set. This happens because we clearly can separate the element "song 1" from "song 2" (there may be a lapse of time between them, defining the end of the first one), so we have the "gaps" mentioned above.

If you want to learn more, you can read:

https://brainly.com/question/10161378

Answer:

Point C is in the interior of angle ABD.

Answer:

The answer will befour times

Answer:

The value of 6 in 675,002 is 1,000 times greater than the value of 6 in 385,621.

Answer:

It is.

Step-by-step explanation:

1.5cm is in the plan.

1.92m is in real life.

We need to convert m to cm so 1.92m=192cm

The ratio is 1:128.

1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.

We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):

1.5 : 192 = 1 : 128

Then we multiply the numbers that are in and out of the equation like this:

1.5 * 128 = 192 * 1

192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128

Answer:

It is 29x - 19y

Step-by-step explanation:

[tex]5(x - 7y) + 8(3x + 2y)[/tex]

open brackets:

[tex] = 5x - 35y + 24x + 16y[/tex]

group like terms together:

[tex] = (5x + 24x) + (16y - 35y)[/tex]

factorise out x and y :

[tex] = x(5 + 24) + y(16 - 35) \\ = 29x - 19y[/tex]

Answer: 10

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

**Disclaimer** I assumed that the [1/2] in [1/2ac2] is a single term and [c2] in [1/2ac2] is b². If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Given information

a = 5

b = 2

Given expression

(1/2) · a · b²

Substitute values into the expression

=(1/2) · (5) · (2)²

Simplify exponents

=(1/2) · (5) · (4)

Simplify by multiplication

=(2) · (5)

=10

Hope this helps!! :)

Please let me know if you have any questions

Answer:

g(-5) = -7

Step-by-step explanation:

given:

[tex]g(x) = -x-2[/tex]

find:

[tex]g(-5) [/tex]

~~~~~~~~~~~~

➡️ [tex] g(-5) = -(-5) - 2[/tex]

➡️ [tex] g(-5) = -(-5 - 2) [/tex]

➡️ [tex] g(-5) = -7 [/tex]

Answer:

It is -4/7

Step-by-step explanation:

[tex] \frac{168}{ - 294} \\ \\ = - \frac{4}{7} [/tex]

Answer:

168/-294 × 5/5 = 840/1470

= - 840/ 1470

= 1470

Answer: a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex](\frac{a}{b^{3} } )^{4}[/tex]

[tex]a^{4}[/tex]/([tex]b^{3}[/tex][tex])^{4}[/tex]

[tex]a^{4}[/tex]/[tex]b^{12}[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

Let x represent the measure of the first angle. Then the second is x+7, and the third is 10x-7.

The sum of the three angles of the triangle is 180°, so we have ...

  x +(x +7) +(10x -7) = 180

  12x = 180 . . . . . . . . . . . . . . . collect terms

  x = 15 . . . . . . . . . divide by 12 (first angle)

  x +7 = 22 . . . . . .second angle

  10x -7 = 150 -7 = 143 . . . . . third angle

The three angles are 15°, 22°, and 143°.

Answer:

60 units²

Step-by-step explanation:

A = ½bh

Let the horizontal line AC be the base which has a length of 10 along the line y = 7

The vertical distance between this line and point B is 7 - (-5) = 12

A = ½(10)(12)

Answer:

pls ur question is not clear is there a space between 11 and 2

[tex]( {x}^{6} )( {x}^{2} ) = x^{8} [/tex]

I hope I helped you^_^

Answer:

6ft by 15ft

Explanation:

L1 = 10 ft

W1 = 4 ft

L2 = L1*(3/2)

W2 = W1*(3/2)

L2 = 10 ft times (3/2) = 15 ft

W2 = 4 ft times (3/2) = 6 ft

I hope this answer helps you out!

6 - (-3) = 6 + 3

6+3 = 9

9 is your answer

Step-by-step explanation:

Recall that

[tex]\cos{2\theta} = 1 -2\sin^2\theta[/tex]

so we can write our original equation as

[tex]3 - 6\sin^2{\theta} + \sin{\theta} = 1[/tex] or

[tex]6\sin^2{\theta} - \sin{\theta} - 2 =0[/tex]

Let [tex]x = \sin{\theta}[/tex] so our equation becomes

[tex]6x^2 - x - 2= 0[/tex]

which gives us two roots: [tex]x = -\frac{1}{2}[/tex] and [tex]x = \frac{2}{3}[/tex].

This is equivalent to [tex]\theta = 150°[/tex] and [tex]\theta = 41.8°[/tex]

109 pumpkins

Step-by-step explanation:

I don't think this is right but