Segments AB and CD intersect to form an angle of 88.5° as shown. What is the measure
of <2

Step-by-step explanation:

[tex]$ T(n) = T(\frac{n}{4})+T(\frac{3n}{4})+2n \ \ \; \ n > 10 $[/tex]

[tex]$ T(n) = 0; \ \ n<0 $[/tex]

Therefore,

[tex]$ T(n)= T(\frac{n}{4})+T(\frac{3n}{4})+2n $[/tex]

[tex]$ T(\frac{n}{4})= T(\frac{n}{16})+T(\frac{3n}{16})+(\frac{2n}{4}) \ \ ...(i)$[/tex]

[tex]$ T(\frac{3n}{4})= T(\frac{3n}{16})+T(\frac{9n}{16})+(\frac{6n}{4}) \ \ ...(ii)$[/tex]

[tex]$ \Rightarrow \frac{n+3n+3n+9n}{16} = \frac{16n}{16}$[/tex]

                                = n

[tex]$ \therefore n+n+n+.... = n \cdot \log_{\frac{4}{3}}n$[/tex]

[tex]$ \therefore T(n) = n \cdot \log_{\frac{4}{3}}n$[/tex]

Answer:

In polar coordinates, we represent the points as:

P = (R, θ)

Where R is the radius and θ is the angle (depending on how you want to work, you can use θ in degrees or radians).

Then in this case we know that we are working with the unit circle, whose radius is R = 1.

And the angle is pi/5.

Then our point will be:

P = (1, pi/5).

Now we also could write it in rectangular coordinates, knowing that for a point (R, θ) we have:

x = R*cos(θ)

Y = R*sin(θ)

Then for our point the rectangular coordinates are:

x = 1*cos(pi/5) = 0.81

y = 1*sin(pi/5) = 0.59

Then the point is (0.81, 0.59)

Answer:

440

Step-by-step explanation:

Answer:

  d ⇒ di^(21-22) = -di, facing right from where it was; order doesn't matter

Step-by-step explanation:

For direction defined as 1, i, -1, -i, a left turn is accomplished by multiplying by i. Then "L" left turns will be multiplication by i^L.

A right turn is equivalent to multiplication by -i, so R right turns will be multiplication by (-i)^R.

We know that turning left and turning right are inverse operations of each other, so we can also write a right turn as multiplication by i^(-1). Then R right turns will be equivalent to multiplication by i^(-R).

We know from the commutative and associative laws of multiplication that the order does not matter. So, L left turns and R right turns will be equivalent to multiplication by ...

  (i^L)(i^-R) = i^(L -R)

Hence 21 left turns and 22 right turns is equivalent to a turn of ...

  i^(21-22) = i^-1 . . . . one right turn

From an initial facing direction of 'd', the final facing direction after these 43 turns is -di.

Answer:

50 degrees

Step-by-step explanation:

Answer:

a) 2:15 AM

b) 5:32 AM

c) 12:45 AM

d) 6:42 PM

Answer:

1455

Step-by-step explanation:

0.03% x 1500 = 45

therefore, 45 students were late

1500 - 45 = 1455 punctual

Answer:

Step-by-step explanation:

z - 2/3 = (2/3)z

Answer:

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 6 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex] , thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (1, 5) into the partial equation

5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = 5 + [tex]\frac{1}{2}[/tex] = [tex]\frac{11}{2}[/tex]

y = - [tex]\frac{1}{2}[/tex] x + [tex]\frac{11}{2}[/tex] ← equation of perpendicular line

Answer: 4

Step-by-step explanation:

94,172

ten thousands, thousands, hundreds, tens, ones

According to the list of places, 4 is the thousand place in 94,172.

Hope this helps!! :)

Please let me know if you have any question

Answer: In this number, 4 is the thousands place.

Step-by-step explanation:

So we have to find the thousands place in this number:

94,172

Label it:

9                          4                       1                   7            2

ten thousands    thousands     hundreds     tens       ones

Therefore, 4 is the thousands place.

Hence, your answer.

Answer:[tex]a_0=25[/tex]

Step-by-step explanation:

It is given that, [tex](5x)^2=a_0x^2[/tex]

We need to find the value of [tex]a_0[/tex]

As [tex](5x)^2=a_0x^2[/tex]

Solving LHS

[tex]25x^2=a_0x^2[/tex]

Now comparing the coefficients of [tex]x^2[/tex]

In LHS the coefficient of [tex]x^2[/tex] is 25

In RHS the coefficient of [tex]x^2[/tex] is [tex]a_0[/tex]

It implies that, [tex]a_0=25[/tex]

So, the value of [tex]a_0[/tex] is 25.

Answer:

A=1.75

Step-by-step explanation:

[tex]10a + 6a = 21 + 7 \\ 16a = 28 \\ divide \: both \: sides \: by \: 16 \\ a = 1.75 \: or 1 \ \frac{3}{4} [/tex]

Answer:

a = 7/4

Step-by-step explanation:

10a -7 = 21 - 6а​

Add 6a to each side

10a+6a -7 = 21 - 6а+6a

16a -7 = 21

Add 7 to each side

16a+7-7=21+7

16a = 28

Divide each side by 16

16a/16 = 28/16

a = 7/4

Answer:

44 52 95 76 13 94 83 72 55 81 22 25 64

The mean is: 59.7

65 72 48 63 68 59 68 62 75 79 81 72 64

The mean is: 67.4

Answer:

Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too

Answer:

it would be Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

Answer:

Si posee una propiedad y la alquila a inquilinos, ¿cómo se gravan esos ingresos?

La respuesta es que los ingresos por alquileres se gravan como ingresos ordinarios. Si está en el tramo impositivo marginal del 22% y tiene $ 5,000 en ingresos por alquiler que declarar, pagará $ 1,100.

Sin embargo, hay más en la historia. Los propietarios de propiedades de alquiler pueden reducir sus cargas fiscales de varias formas. De hecho, una propiedad rentable en alquiler podría no mostrar ingresos, o incluso una pérdida, a efectos fiscales.

Si uno de sus inquilin os le extiende un cheque por $ 1,000 por mes para cubrir su alquiler, se trata de ingresos por alquiler.

El impuesto deducido en el que incurre el propietario depende del tramo impositivo marginal del estado del país. Si el tramo impositivo marginal es del 20%, el impuesto será 20/100 x 2000 = 400

Answer:

[tex]x = (\frac{g + 3f}{a}) - b[/tex]

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

Note that PEMDAS =

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

& is the order of operation.

First, divide a from both sides:

[tex]a(x + b) = g + 3f[/tex]

[tex]\frac{a(x + b)}{a} = \frac{g + 3f}{a}[/tex]

[tex]x + b = \frac{g + 3f}{a}[/tex]

Next, subtract b from both sides to isolate the variable, x.

[tex]x + b (-b) = \frac{g + 3f}{a} (-b)[/tex]

[tex]x = (\frac{g + 3f}{a}) - b[/tex]

[tex]x = (\frac{g + 3f}{a}) - b[/tex]

Answer:

[tex]\Large \boxed{12.9}[/tex]

Step-by-step explanation:

BC = B’C’

BC = 2

The perimeter of a triangle is the sum of all its sides.

[tex]\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9[/tex]

The perimeter of the triangle is 12.9.

Answer:

12.9 is the perimeter

Step-by-step explanation:

BC is 2 since B’C’ is equal to BC.

Add all sides to get perimeter.

5.1+5.8+2=12.9

You’re welcome.

- bananamilkshake43

Answer:

[tex]CD = 3[/tex]

Step-by-step explanation:

Given

[tex]CD = x[/tex]

[tex]BC = 5x - 5[/tex]

[tex]BD = 2x + 7[/tex]

Required

Determine CD

Since, C is a point on BD, the relationship between the given parameters is;

[tex]BD = BC + CD[/tex]

Substitute the values of BD, BC and CD

[tex]2x + 7 = 5x - 5 + x[/tex]

Collect Like Terms

[tex]2x - 5x - x = -5 - 7[/tex]

[tex]-4x = -12[/tex]

Divide both sides by -4

[tex]\frac{-4x}{-4} = \frac{-12}{-4}[/tex]

[tex]x = 3[/tex]

To determine the length of CD;

Substitute 3 for x in [tex]CD = x[/tex]

Hence;

[tex]CD = 3[/tex]

Answer:

Step-by-step explanation:

Represent the number by x.  Then:

9x - 4 = 23

Answer: 10y + 1

Step-by-step explanation:

The perimeter is the total distance round the figure.

Now, in this case it is going to be

Perimeter = 3y + 5 + 6y + y - 4

= 3y + 6y + y + 5 - 4

= 10y + 1

The perimeter of the given triangle is 10y + 1 units.

A triangle is formed by 3 non co-linear points it has three sides and three vertices.

A triangle is also a polygon with three sides.The sum of all the interior angles of a triangle is 180°.

In the given question

Equations of all the sides of the lengths of the triangle is given.

We know that the perimeter of a triangle is the sum of the lengths of all the sides.

∴ Perimeter of the given triangle

= (3y + 5) + (y - 4) + 6y

= 10y + 1 units.

Learn more about Triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

Step-by-step explanation:

If I push on a desk with a force of 150 N to the right and my friend pushes on the same desk with a force of 50 N to the left, this means that I pushed the desk in the positive x direction and the force I applied is F1 = +150N; my friend pushes the desk in the negative x direction and the applied force will be F2 = -50N.

THe net force will the sum total of both forces acting on the desk.

Net force F = F1+F2

Given F1 = +150N and F2 = -50N

Net force F = +150N+(-50N)

Net force F = +150N-50N

Net force F = +100N

Hence the net force on the desk is 100N

Answer:

287 pounds

Step-by-step explanation:

1212 X 2= 2424

2424-2137= 287

Answer:

63 km

Step-by-step explanation:

Distance = speed x time = 12 x 5.25 = 63 km

Answer:

Step-by-step explanation:

First of all multiply through by 3

That's

We have

Divide both sides by h to make b stand alone

That's

We have the final answer as

Hope this helps you

Answer:

no

Step-by-step explanation:

rational numbers are just like negative and positive. If you add a positive number and a negative number together, you are going to get a negative number, so the answer is no.

// have a great day //

Answer:

Only 19 books

Step-by-step explanation:

1m=100cm

1 book attains 5.2cm

x books attain 100cm

Do cross multiplication and then u will get answer as 19.23

books can't be in decimals

So answer is 19 books

Answer:

0

Step-by-step explanation:

Using bodmas

(-265*52)+(265*152)

(-13780)+(13789)

=0

Answer: 26500

Step-by-step explanation:

Simplify  -265 x 52 to -13780

-13780+265 x 152

Simplify  265×152  to  40280

-13780+40280

Simplify

26500

Unfortunately I do not understand the part which mentions "property used"

Answer:

1/2, 3/6, 7/14

Step-by-step explanation:

Each are 1/2 :)

The 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.

Equivalent fractions are those fractions that are made up of different numerator and denominator but are equal to the same value.

To find the equivalent fractions of 4/8, multiply the numerator and denominator by the same number.

That is , 4/8 ×2 = 8/16

4/8 × 3 = 12/24

4/8 × 4 = 16/32

Therefore, the 3 equivalent fractions of 4/8 = 8/16, 12/24, and 16/32.

Learn more about equivalent fractions here:

https://brainly.com/question/17220365

Answer:

A) In y = - [ x-In (x+1) ] + c

B) [tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

Step-by-step explanation:

A) tydt + ( t + 1 ) dy = 0

dy/y = - ( [tex]\frac{tdt}{t+1}[/tex] )  we have to integrate both sides of the equation

In y = - [ x- In (x +1) ] + c

B) y dy/dt  + t = 1

we can express the equation as :

y dy = ( 1 - t ) dt

when we integrate the equation we have

[tex]\frac{y^2}{2} = t - \frac{t^2}{2} + c[/tex]

Answer:

False.

Step-by-step explanation:

Recall that the volume of a right cylinder is given by the formula:

[tex]V=\pi r^2h[/tex]

And the volume if a oblique cylinder is likewise also given by the formula:

[tex]V=\pi r^2h[/tex]

From the formulas, therefore, if the heights are equivalent, then the radii must also be equivalent for the two cylinders to have the same volume.