What is the equation of the line perpendicular to y = -x+6 that passes through the
2
point (4, 1)?

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

Answer:

.....Your answer is D

...

.

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

Answer:

V=84ft³

Step-by-step explanation:

Answer:

Heyaa!! My name is Pinky and im here to inform you that your answer is...

Step-by-step explanation:

!!! V=84ft³ !!!

My clarification or my work is:

V=w h l= 4· 7· 3 =84ft³

w= Width

L= Length

H= Height

Have an amazing dayy!!

~Pinky~

Answer:

The answer is median :81

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

look for the greatest exponent

Answer:

look at the picture i sent......

Answer:

49 - 9π

Step-by-step explanation:

Area of white portion = area of triangle - area of circle

To find the area of the triangle:

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The height given is 7m and the base length given is 14m

That being said we plug in the given values into the formula

[tex]\frac{14*7}{2} \\14*7=98\\\frac{98}{2} =49[/tex]

Hence, the area of the triangle is 49 sq meters.

To find the area of circle

( note that the area is in terms of pi; shown by the answer choices. )

Formula for area of a circle = [tex]A=\pi r^2[/tex]

We are given the diameter  ( 6m )

However, we need the radius

To convert diameter to radius we divide by 2

6/2 = 3 so the radius = 3m

Now we plug in 3 into the formula

[tex]A=\pi 3^2\\3^2=9\\A=9\pi[/tex]

Remember we do not apply pi because the answer should be in terms of pi.

Now we subtract the two

Area of white portion = 49 - 9π

Hence, the answer is A

Answer:

49 - 9π

Step-by-step explanation:

Hope this helps

Answer: Most views  mayber black panther

Step-by-step explanation:

Answer:

c.2

Step-by-step explanation:

f(x)=2 and where is x you place it with 2 and it won't change because there is no another number is the equation of f(X)

Answer:

The dog has 1357.5 square feet of running space.

Step-by-step explanation:

48 feet is the diameter of the circle in which the dog can run, minus 1/4 of the total circle (assuming the dog can not run through walls).

The formula of how to find the area of a circle is...

A =  π r²

A stands for area, pi(π) is 3.14, and r means radius.

Radius is half of the diameter, so the radius would be 24 feet. Let's plug those numbers into the formula:

A = π x 24²

A = π x 576

A = 1809.56 square feet

Now, we have to subtract 1/4 of 1810 (rounded up).

1810 times 0.75 = 1357.5 feet.

I hope this helps you! :-)

Answer:

i wrote "13 8/9 because 16 2/3 x 16 2/3= 50/3 x 50/3 = 250/9 then 250/9 ÷ 2 = 125/9 = 13 8/9"

Step-by-step explanation: if u add in some words or something so you teacher isnt sus hope you pass!!

Answer:

Finding the 6th term is really easy, we can simply double two more times to get 5, 10, 20, 40, 80, 160.

Step-by-step explanation:

Answer:

3: 27

8; 512

6; 216

Step-by-step explanation:

Answer:

160 unit^2.

Step-by-step explanation:

Area = xy/2 where x and y are the length of the diagonals, so here:

Area = (16*20)/2

= 320/2

= 160.

Answer:

55+x+74+54=180

183+x=180

x=180-183

x=-3

Step-by-step explanation:

Answer:

w = 28.4 yds

Step-by-step explanation:

P = 12.7 + 4 + 2w

73.5 = 16.7 + 2w

56.8 = 2w

w = 56.8/2

w = 28.4

Answer:

w = 28.4 yards. Sorry need the points.

The answer is 6/25 or 6 over 25

Answer:

6/25

Step-by-step explanation:

According to Math.way 24% converted to the simplest fraction form you would get 6/25.

Hope this helps :)

Answer:mode

Step-by-step explanation:5+4+9+9+3+75+1=mode

Answer:

(1/2,4)

Step-by-step explanation:

because that is where the line crosses each other

the x is 1/2

the y is 4

Answer:

88

Step-by-step explanation:

43 + 49= 92.

Then 180 - 92= 88

C= 88

Answer:

15 metres

Step-by-step explanation:

perimeter of rectangle = 2(base + height)

=2(8+h) = 46

= 16 + 2h = 46

= 2h = 46 - 16

= 2h = 30

= h = 15

15 metres is the height of rectangle

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

the answer is 35 cm

Step-by-step explanation:

to make sure that you dont have a problem next time here is a formula

area of any polygon is the sum of all sides so 9 + 9 + 12 + 5 = 35

Answer:

D

Step-by-step explanation:

Answer:

A.  (x · 60) + (x · 5)

Step-by-step explanation:

Answer:

A. (x · 60) + (x ·5)

Step-by-step explanation:

Equation A is simplified to 65x, which is equivalent to x ·65.

Equation B is simplified to 11x.

Equation C is simplified to x + 30.

Equation D is simplified to 6x+5.