Find the length of the side CD in the pentagon ABCDE.


A)

4√2 units

B)

12 units

C)

4 units

D)

4√10 units

Answer:

In the direction you are going,

Explanation:

We know that the tangent to  {x[t], y[t]} are  {x'[t], y'[t]}. Since  {x'[t], y'[t]} are tangents at  {x[t], y[t]}, we know that the tangent at a point is always parallel to the direction of the function at that point and in the direction of the function. So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in my direction of motion as I move along the curve.

So, the tangent vectors {x'[t], y'[t]} at {x[t], y[t]} point in the direction you are going.

Expand the expression as

(s + 1)³/s ⁵ = (s ³ + 3s ² + 3s + 1)/s ⁵

… = 1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵

Then taking the inverse transform, you get

LT⁻¹ [1/s ² + 3/s ³ + 3/s ⁴ + 1/s ⁵]

… = LT⁻¹ [1/s ²] + LT⁻¹ [3/s ³] + LT⁻¹ [3/s ⁴] + LT⁻¹ [1/s ⁵]

… = LT⁻¹ [1!/s ²] + 3/2 LT⁻¹ [2!/s ³] + 1/2 LT⁻¹ [3!/s ⁴] + 1/24 LT⁻¹ [4!/s ⁵]

… = t + 3/2 t ² + 1/2 t ³ + 1/24 t ⁴

Answer:

I believe it's A

Step-by-step explanation:

I'm not sure sorry if its wrong

Answer:

37.8+52.2=90

Step-by-step explanation: x + (x + 14.4) = 90

2x + 14.4 = 90

2x = 75.6

x = 37.8  (one angle)

And (x + 14.4) = 52.2 (other angle).

9514 1404 393

Answer:

  f(x) = -4(x +7)(x +1)

Step-by-step explanation:

The x-intercepts tell us that m=-7 and n=-1. We can use the given point to find 'a'.

  f(-4) = 36

  a(-4+7)(-4+1) = 36

  a = 36/-9 = -4 . . . . divide by the coefficient of 'a'

Filling in the known values, ...

  f(x) = -4(x +7)(x +1)

9514 1404 393

Answer:

  (c)  (4, 3)

Step-by-step explanation:

The next step in the solution of System B is to divide by 15 1/2. This will result in the equation ...

  x = 4

The only answer choice that has x = 4 is the ordered pair (4, 3). That ordered pair is the solution to the system.

__

  (15 1/2)x = 62   ⇒   (31/2)x = 124/2   ⇒   x = (124/2)/(31/2) = 124/31 = 4

Answer:

c

Step-by-step explanation:

got it right on the test

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

Answer:

The time required is 60.3 days.

Step-by-step explanation:

initial amount, No = 0.3 g

rate, r = 1.15 % per day = 0.0115 per day

final amount, N = 0.15 g

Let the time is t.

[tex]N = No e^{-rt}\\\\0.15 = 0.3 e^{-0.0115 t}\\\\0.5 =e^{-0.0115 t}\\\\- 0.6931 = - 0.0115 t \\\\t = 60.3 days[/tex]

Answer: Y=10.76 √(x-9.12)+43.64

Step-by-step explanation:

Answer:

x = -4 or 6

Step-by-step explanation:

12^2 + (1-x)^2 = 13^2

(1-x)^2= 13^2 - 12^2

(1-x)^2= 25

1-x = 5

x = -4 or 6

Answer:

(4, 0) and (5, 0)

Step-by-step explanation:

Given

See attachment for graph

Required

The x intercepts

This is the point where [tex]y = 0[/tex]

From the graph, we have the following as the x-intercepts:

[tex](x_1,y_1) = (4,0)[/tex]

[tex](x_2,y_2) = (5,0)[/tex]

Because the curve crosses the x-axis at the above points

Answer:

(4, 0) and (5, 0)

Step-by-step explanation:

have a great day and please mark brainliest!

Answer:

30%

Step-by-step explanation:

you just add 10% and 20%

Hope it helps c:

Zelina scored 32% higher on the third quiz than on her first quiz.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

Given that:-

From the given data we will see that:-

1 ) Zelina scored 10% higher on her second quiz than on her first quiz.

SQ = 1.10 FQ

2 ) On her third quiz, Zelina scored 20% higher than on her second quiz

TQ = 1.20SQ

From the above to expression solve for the first quiz:-

TQ = 1.20 x  1.10 FQ

TQ = 1.32FQ

Therefore Zelina scored 32% higher on the third quiz than on her first quiz.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer:

x=4

Step-by-step explanation:

2x + 14 = 22

Subtract 14 from each side

2x+14-14 = 22-14

2x = 8

Divide by 2

2x/2 = 8/2

x = 4

Answer:

5 x 4 = 20.

Step-by-step explanation:

5 + 5 = 10

5 + 10 = 15

5 + 15 = 20!

Please mark brainliest!

- KanaKittyKat

Answer:

5 x 4 = 20

5 + 5 + 5 + 5 = 20

Answer:

[tex]\frac{BC}{DC}=\frac{AC}{EC}[/tex]

[tex]\frac{20-x}{x} =\frac{21}{7}[/tex]

[tex]\frac{20-x}{x} =3[/tex]

[tex]20-x=3x[/tex]

[tex]4x=20[/tex]

[tex]x=5[/tex]

[tex]So, CD=5[/tex]

OAmalOHopeO

Answer:

1) x+y=-2

x=-2-y

2) x-y=-8

substitude value of x

(-2-y)-y=-8

-2-2y=-8

-2y=-6

y=3

Substitute value of y in 1

x=-2-3

x=-5

Brainliest please~

Answer:

72°

Step-by-step explanation:

[tex] m\angle \: 6 = m \angle \: 8 \\ (corresponding \: \angle s) \\ m\angle \: 8 = 72 \degree \\ \therefore \: m\angle \: 6 = 72 \degree \\ \\ m\angle \: 14 = m \angle \: 6 \\ (corresponding \: \angle s) \\\therefore \: m\angle \: 14 = 72 \degree [/tex]

Answer:

7,7,12.5

Step-by-step explanation:

since we know that 2 sides are equal,

4x+1=5x-0.5

5x-4x=1+0.5

x = 1.5

sub x = 1.5 into the different eqns

4(1.5)+1 = 7

5(1.5)-0.5 = 7

9(1.5)-1 = 12.5

Answer:

[tex]{ \bf{ log_{a}(U) = x}} \\ { \boxed{ \tt{ {a}^{x} = U}}} \\ \\ { \bf{ log_{a}(V) = y}} \\ { \boxed{ \tt{ {a}^{y} = V }}}[/tex]

Answer:

y=3/4x+19/4

Step-by-step explanation:

y=mx+c

4=3/4*-(1)+c

4=-3/4+c

c=4+3/4

c=19/4

y=3/4x+19/4

Answer:

A. 2.04 seconds

B. 5.92

C: 1.48 -  0.4 = 1.08 seconds    

Step-by-step explanation:

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

USE THIS TO GET "B"

the f(-b/2a) is the highest point,

the vertex of the parabola [-b/2a, f(-b/2a)] will give you the time

and height of the highest point

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

USE THIS TO GET "A"... you will get two answers one will be negative

ignore that one , the positive one is the time to hit the ground

if you factor the equation (use the quadratic formula) you will get

the "zeros" that is where the ball is on the ground...

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

THIS IS FOR PART "C"

if you set the equation equal to 4.5 meters and factor that for the "zeros" you will get the two times that the ball is at that height.. subtract the two times for the duration

Answer:

Mean = 35.56

Median = 35.5

Step-by-step explanation:

Given the data:

16 25 24 19 33 25 34 46 37

33 42 40 37 34 49 73 46 45

Reordered data :

16, 19, 24, 25, 25, 33, 33, 34, 34, 37, 37, 40, 42, 45, 46, 46, 49, 73

The mean = ΣX / n

n = sample size ; ΣX = sum of values

The mean = 658 / 18

The mean = 36.56

The Median = 1/2(n+1)th term

1/2(18+1)th term = 1/2(19)th term = 9.5 term

Median = (9th + 10th) / 2 = (34 + 37) / 2 = 35.5

Answer:

No

Step-by-step explanation:

Let's look at an example

24

24 is divisible by 6   24/6 = 4  

24 is divisible by 8   24/8 = 3

24 is not divisible by 48  24/48 = 1/2  which is not an integer

Answer:

it can be any number1234567890