what are the coordinates of D’

Answer:

∠ECD  is 110°

Step-by-step explanation:

For a cyclic quadrilateral,

∠ABC + ∠AEC = 180°

Therefore ∠AEC = 180° - 45° = 135°

∠CAE + ∠ACE + ∠AEC = 180° (Angles in a triangle)

Therefore ∠CAE =  180 - 20 - 135 = 25°

∠CAE = ∠CDA = 25° (Base angles of isosceles triangle ΔCAD)

∠CED + ∠AEC = 180°(Sum of angles on a straight line)

Therefore ∠CED + 135° = 180°

∠CED = 180° - 135° = 45°

∠ECD + ∠CED + ∠CDA = 180°

Therefore ∠ECD  = 180° - (∠CED + ∠CDA)

∠ECD  = 180° - (45° + 25°) = 110°

Therefore, ∠ECD  = 110°.

Answer: 30.

Step-by-step explanation: This is a triangle with a 90 degree angle and a 60 degree angle. So, a 180 degree angle - a 90 degree angle - 60 degree angle = 30.

Answer:

x = -8

Step-by-step explanation:

solve:

-4(2x+3) =2x+6-(8x+2)

-8x-12 = 2x+6-8x-2

-8x-12 = -6x + 4

-2x = 16

x = -8

Hope this helps.

Good Luck

Answer:

[tex]x = - 8[/tex]

Second answer is correct

Step-by-step explanation:

[tex] - 4(2x + 3) = 2x + 6 - (8x + 2) \\ - 8x - 12 = 2x + 6 - 8x - 2 \\ - 8x - 12 = - 6x + 4 \\ - 8x + 6x = 12 + 4 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

[tex]tan(49)=\frac{18.5}{x}[/tex] and

[tex]x=\frac{18.5}{tan(49)}[/tex] and on your calculator in degree mode, you will find that

x = 16.08 m

Answer:  (d) x

Step-by-step explanation:

Inverses cancel each other leaving you with whatever is in the parenthesis.

Examples:

f(g(x)) = x

f(g(1)) = 1

f(g(2bc) = 2bc

Answer:

Step-by-step explanation:

Given the distance of a swinging pendulum modeled by the equation P(t)=−5cos(2πt)+5, to get the first time the pendulum reaches 3.5cm, we will have to substitute P(t)= 3.5cm into the given equation and calculate the value of 't' as shown;

3.5 = −5cos(2πt)+5

Subtracting 5 from both sides;

3.5-5 = −5cos(2πt)+5-5

-1.5 = −5cos(2πt)

Dividing both sides by -5 will give;

[tex]\frac{-1.5}{-5} = cos2\pi t\\0.3 = cos2\pi t\\2\pi t=cos^{-1} 0.3\\2\pi t = 72.54^{0} \\360t = 72.54^{0} \\t = \frac{72.54}{360} \\t = 0.20secs[/tex]

The first time the pendulum reaches 3.5cm is after 0.20secs

Answer:

64 cm3.

Answer:

64 cm3

Step-by-step explanation:

trust i'm a doctor

Answer:

The answer is, A. it is constant

Step-by-step explanation:

Between the x values 4 and 8 the line does not decrease or increase. It stays in a straight line causing it to be constant.

Answer: Its constant ( constant means it isnt moving like its just stable)

Answer:

Step-by-step explanation:

area and perimeter of WHAT? specify plz.

Answer:

13

Step-by-step explanation:

v=k+5

k=Kora's age

if v=18

k=v-5

k=18-5

j=13

Answer:

aprox: 9 years?

Step-by-step explanation:

im sorry if this is wrong!

Answer:

[tex]y=\frac{1}{2} x+10[/tex]

Step-by-step explanation:

[tex]-\frac{1}{2} x+y=10\\[/tex]

Add [tex]\frac{1}{2} x[/tex] to both sides

[tex]y=10+\frac{1}{2} x\\\\y=\frac{1}{2} x+10[/tex]

Answer:

Equation of the  parabola    x² = -12.56 y

Step-by-step explanation:

Explanation:-

Given Y- intercept ( 0, -3.14)

Given Focus is ( 0 , -a) = ( 0, -3.14)

So  a = 3.14 center C(0,0)

The graph of the parabola is downwards and the axis of the parabola is Y-axis.

Equation of the standard parabola    x² = -4 a y

                                                              x² = -4 (3.14) y

                                                              x² = -  12.56 y

Conclusion:-

Equation of the  parabola    x² = -12.56 y

Answer:

Length = 4 * 8 = 32

Area = width * length = 8 * 32 = 256 square inches

Step-by-step explanation:

Answer:

A =256 inches^2

Step-by-step explanation:

width = 8 inches

length = 4 w = 4*8 = 32

A = l*w

A = 32*8

A =256 inches^2

Answer:

324

Step-by-step explanation:

[tex]4p^2= \\\\4(9)^2= \\\\4\times (9\times 9)= \\\\4\times (81)= \\\\\boxed{324}[/tex]

Hope this helps!

Answer:

324

Step-by-step explanation:

If p=9, then the expression would be 4(9)². 9² is 81 and 81*4 is 324

Answer:

Step-by-step explanation:

the Pythagorean theorem is :

a^2+b^2=c^2

c is the hypotenuse

if y is the hypotenuse  then x^2+z^2=y^2

if x is the hypotenuse then y^2+z^2=x^2

Answer:

infinitely many

Step-by-step explanation:

You have the system

(1/2)x + 5y = 6

  3x  + 30y = 36

Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation.  The two graphs coincide, and so there are infinitely many solutions to this system

Answer:

infinitely many

Step-by-step explanation:

As we see, these are equal lines, they overlap, so there are infinitely many intersections

Answer:

So far I have gotten 3m + n, there is not equal sign so I am unable to finish this question further.

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

-|-7 + 3|

-|-4|

-4

Answer:-4

Step-by-step explanation:

-|-7 + 3|

-|-4|

-4

For some reason my answer was deleted and looks as if the deleted user copied my explanation before it to be all deleted

Hope that helps

Answer:

X= 55/3 = 18.333

Step-by-step explanation:

Step  1  : Solving a Single Variable Equation : 1.1      

Solve  :    3x-55 = 0

Add  55  to both sides of the equation : 3x = 55

Divide both sides of the equation by 3: x = 55/3 = 18.333

Answer: X= 55/3 = 18.333

Hope i  made your day if not. Then what is wrong with your life.    :)

Answer:

[tex]x = 18.33[/tex]

Step-by-step explanation:

[tex]3x + 13 = 68 \\ 3x = 68 - 13 \\ 3x = 55 \\ \frac{3x}{3} = \frac{55}{3} \\ x = 18 .33[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Cosθ = 0.5145

Sinθ = 0.8575

Secθ = 1.9436

tanθ = 1.667

Step-by-step explanation:

From the figure attached,

Point P(-3, 5) is on the terminal side and AB is the initial side of the angle PAB.

If m∠PAB = θ

AB = [tex]\sqrt{(3)^{2}+(5)^{2}}[/tex]

     = [tex]\sqrt{34}[/tex]

     = 5.831

Then Cosθ = [tex]\frac{AB}{AP}[/tex] = [tex]\frac{3}{5.831}[/tex]

Cosθ = 0.5145

Sinθ = [tex]\frac{PB}{AP}[/tex]

Sinθ = [tex]\frac{5}{5.831}[/tex]

Sinθ = 0.8575

Secθ = [tex]\frac{1}{\text{Cos}\theta}[/tex]

Secθ = [tex]\frac{1}{0.5145}[/tex]

Secθ = 1.944

tanθ = [tex]\frac{PB}{AB}[/tex]

tanθ = [tex]\frac{5}{3}[/tex]

tanθ = 1.667

One possibility could be :

y = x - 3

wherein:

x : number of apples on Monday

y : number of apples on Tuesday, the day after

Hope I helped you! :)

Have a great day/night!!

Answer:

16.49

Step-by-step explanation:

Answer:

D. 360 square feet

Step-by-step explanation:

The area of Tara's wall is 24 times 15 which equals 360 sq. feet. This means she would need the same amount of wallpaper to cover it.

Answer:

x=3, y=15

Step-by-step explanation:

We substitute 5x for y, getting 5x = -3x + 24. We add 3 x to both sides, and have a equation like this: 8x = 24. Divide by 8 on both sides, and we know that x = 3. Since y is 5x, y is 5*3, which is 15.

Answer:

$27

Step-by-step explanation:

The dimensions of the sandbox (that is a rectangular prism) are 3m x 2m x 1m.

We need to first find the volume of the sandbox.

The volume of a rectangular prism is:

V = L * W * H

where L = length

W = Width

H = height

The volume of the sandbox is:

V = 3 * 2 * 1 = [tex]6 m^3[/tex]

Sand for the sandbox costs $4.50 per cubic meter.

The cost to completely fill the sandbox is:

4.50 * 6 = $27