Determine the type of symmetry of r=-7+ 2cos3ø from the equation, if any. Make sure to confirm graphically. Symmetric with respect to the:
A) pole
B) none of these
C)line /2
D) polar axis

Answer:

100000 rupees

Step-by-step explanation:

Answer:

x = 35°

Step-by-step explanation:

sin x = cos (90° - x)

sin 55° = cos (90° - 55°)

sin 55° = cos 35°

x = 35°

Answer:

Step-by-step explanation:

Hello:

an equation   for the line is : y =mx +b    (m: is a slope )

perpendicular to the line described by : y = -1/3 x +4

So : product for two slopes = -1   means : m×-1/3=-1

m = 3

now : y = 3 x+b

but this line :

through the point (4,3) : 3 =3(4)+b.......    b=-9

conclusion :

the equation is : y =3x -9

Answer:

99x78=7722

123x56=6888

98x172=16856

900x38=34200

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

G-14

O-14

O-14

so 14•3=42

Answer:

C is the answer

Hope this helps you :) Good Luck!!!

Answer:

x = 3

Step-by-step explanation:

x - 5 = 2x - 8

First subtract x from both sides: -5 = x - 8

Finally, add 8 to both sides: 3 = x

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

because 1 minus 3/8 is 5/8

Answer:

The answer is {D}

Step-by-step explanation:

The Greyhound bus going to Michigan leaves the station every 20 minutes.

it's 10:40

so next departure on 10:60 => 11:00 then 11:20 then 11:40...

Another bus going to Arkansas leaves the station every 40 minutes.

it is 10:40

so next departure on 11:20 then 12:00

=> 11:20

Answer:

-1/32 × x

Step-by-step explanation:

let's define and identify the correct markers of the correct parabola.

so, we have the focus point F (0, -8).

we have the directrix y = 8.

that means the the vertex point (the middle between the focus and the directrix) is (0, 0).

a parabola is turning away from the directrix. the vertex here is below the directrix, so the parabola is opening downwards and has therefore a negative factor of x.

so, we can rule out the 2 positive answer options.

to decide between the other 2, let's use a value of x and see, if the point is equidistant to the focus and the directrix.

e.g. x = 1

so,

y = -1/8 × x²

gives us y = -1/8 for x = 1

that means the point is (1, -1/8).

the distance to the focus (0, -8) is

(1 - 0)² + (-1/8 - - 8)² = 1 + (7 7/8)² = 1 + (63/8)² =

= 64/64 + 3969/64 = 4033/64

the distance to the directrix is the distance to the point (1, 8) as the point on the directrix must have the same x value.

so, the distance (1, -1/8) to (1, 8) is

(1 - 1)² + (-1/8 - 8)² = 0 + (-65/8)² = 4225/64

that is not equal to the distance to the focus.

so, let's try

y = -1/32 × x

the point for x = 1 is (1, -1/32)

distance to focus

(1, -1/32) to (0, -8) = (1-0)² + (-1/32 - -8)² = 1 + (255/32)² =

= 1024/1024 + 65025/1024 = 66049/1024

distance to directrix

(1, -1/32) to (1, 8) = (1-1)² + (-257/32)² = 66049/1024

which is the same distance as to the focus.

so, y = -1/32 × x is the right answer.

FYI - for an actual distance I would have to create the square roots of the numbers used here.

but since we only needed to see, if distances are equal or not, it was sufficient to check if the squares of the distances are equal or not.

Answer: no idea

Step-by-step explanation:

Answer:

I think 9 units is the correct answer

Answer:

its 15 units

Step-by-step explanation:

momma told me it was right

Answer:

[tex]\sf \theta=\dfrac34 \ radians=42.97 \textdegree \ (nearest \ hundredth)[/tex]

Step-by-step explanation:

Formulae

[tex]\sf radius (r)=\dfrac12 d[/tex]

(where d is the diameter of a circle)

[tex]\sf arc \ length =r\theta[/tex]

(where r is the radius and [tex]\theta[/tex] is measured in radians)

Calculation

Given:

Substituting these values into the formula for arc length:

[tex]\implies \sf 3 =4\theta[/tex]

[tex]\implies \sf \theta=\dfrac34 \ radians[/tex]

To convert radians to degrees use

[tex]\sf 1 \ rad \cdot \dfrac{180\texrdegree}{\pi}[/tex]

[tex]\implies \sf \dfrac34 \cdot \dfrac{180\texrdegree}{\pi}=42.97183463...\textdegree[/tex]

Now

[tex]\\ \rm\rightarrowtail \theta=\dfrac{l}{r}[/tex]

[tex]\\ \rm\rightarrowtail l=r\theta[/tex]

[tex]\\ \rm\rightarrowtail 3=4\theta[/tex]

[tex]\\ \rm\rightarrowtail \theta=\dfrac{3}{4}^c[/tex]

Answer:

Line 2

Step-by-step explanation:

When factoring the second bracket, 1 x -8 is -8.

Answer:

4

Step-by-step explanation:

Answer:

C. Area is the total distance around the outside of a shape.

Step-by-step explanation:

Answer:

Area is the total distance around the outside of a shape, Would be correct.

Step-by-step explanation:

Answer:

  a) 272 feet

  b) 3 seconds

  c) 7.123 seconds

Step-by-step explanation:

A graphing calculator provides an easy way to answer questions about the parameters of a quadratic function. Here the graph shows ...

a) the maximum height is 272 feet

b) it takes 3 seconds to get there

c) the rocket crashes after about 7.123 seconds

__

You can solve this algebraically by rewriting the equation in vertex form.

  h(t) = -16t² +96t +128 . . . . . . given

  h(t) = -16(t² -6t) +128 . . . . . . . factor out leading coefficient

  h(t) = -16(t² -6t +9) +128 -(-16)(9) . . . . complete the square

  h(t) = -16(t -3)² +272 . . . . . . write in vertex form

The vertex of the height function is (3, 272) meaning the rocket reaches a maximum height of 272 feet after 3 seconds.

__

The zero of the function can be found to be ...

  0 = -16(t -3)² +272

  0 = (t -3)² -17 . . . . . . divide by -16

  t -3 = ±√17 . . . . . . add 17, take the square root

  t = 3 +√17 ≈ 7.123106 . . . . . positive time value for h(t) = 0

It takes about 7.12 seconds for the rocket to crash.

Answer:

Supplementary

Step-by-step explanation:

The two angles are completely different from each other and if you combine them together it'll form a straight line making it 180 degrees

The probability that the marble selected is blue or purple is the likelihhood of selecting a blue or purple marble

The probability that the marble selected is blue or purple is 0.444

From the question, we have:

Green = 9

Purple = 6

Red = 4

Blue = 10

Orange = 7

So, the total number of marbles is:

Total = 9 + 6 + 4 + 10 + 7

Total = 36

The number of blue or purple marbles is;

Blue or purple = 10 + 6

Blue or purple = 16

So, the probability that the marble selected is blue or purple

p = 16/36

Evaluate

p = 0.444

Hence, the probability that the marble selected is blue or purple is 0.444

Read more about probability at:

https://brainly.com/question/251701

Answer:

The Answer is 0.04

Step-by-step explanation:

We are given the following equation :

[tex]{:\implies \quad \sf P=2L+2w}[/tex]

And we need to solve for w, so let's start :

[tex]{:\implies \quad \sf P=2L+2w}[/tex]

Now, transpose 2L to LHS ;

[tex]{:\implies \quad \sf P-2L=2w}[/tex]

[tex]{:\implies \quad \sf 2w=P-2L}[/tex]

[tex]{:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}[/tex]

Hence, Option a) is correct

Answer:

Step-by-step explanation:

Measure of inner angle of the n-sided polygon is

[tex]\frac{180(n-2)}{n}[/tex]

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

m∠PQR = [tex]\frac{180(10-2)}{10}[/tex] = 144°

PQ = QR ⇒ m∠QPR = m∠QRP

m∠PRQ = ( 180° - 144° ) ÷ 2 = 18 °

Answer:

∠PRQ = 18°

Step-by-step explanation:

Sum of interior angles of a polygon = (n - 2) × 180°
(where n is the number of sides)

Interior angle of a regular polygon = sum of interior angles ÷ n
(where n is the number of sides)

Given:

⇒ Sum of interior angles of a polygon = (10 - 2) × 180° = 1440°

⇒ Interior angle of a regular polygon = 1440° ÷ 10 = 144°

Therefore, as PQ and QR are the sides of the polygon, ∠PQR = 144°

Sum of interior angles of a triangle = 180°

⇒ ∠PQR + ∠RPQ + ∠PRQ = 180°

⇒ 144° + ∠RPQ + ∠PRQ = 180°

⇒ ∠RPQ + ∠PRQ = 36°

As the polygon is regular, PQ = QR which means that ΔPQR is isosceles.

Therefore, ∠RPQ = ∠PRQ

⇒ ∠PRQ = 36° ÷ 2 = 18°

check picture uploaded to see steps

children = 201

adults = 277

Answer:

143

Step-by-step explanation:

I'm not sure if this is correct but this is what I came up with:

all angles combined must add to 360

125+55+37= 217

360-217=143

From the 32 by 33 rectangular figure, having interior squares, we have

The area of the squares in square units are;

The areas in square units are;

Area of square A = 18 × 18 = 324

Area of square B = 15 × 15 = 225

Area of square E = 10 × 10 = 100

Area of square F = 14 × 14 = 196

Area of square G = 4 × 4 = 16

Area of square H = 7 × 7 = 49

Area of square I = 1 × 1 = 1

Area of a rectangle = Length × Breadth

Therefore;

Area of the entire figure = 32 × 33 = 1056

The perimeter, P, of the rectangular figure is therefore;

P = 2 × 32 + 2 × 33 = 130

Learn more about finding the area of plane figures here;

https://brainly.com/question/2669479

Answer:

8x8= 64

64x6= 384

384 is the answer

Let me know if i helped!

Let x be the original price of the object.

After the 40% discount, the price of the object now becomes;

x-0.4x=0.6x

0.6x is our new price after the first discount.

Now if we want to find the price after the second discount, (5%)

That would come off to be;

0.6x-0.6(0.05)x=0.6x-0.03x=0.57x

Our last price is 0.57x

If you notice, there was a 43% discount in total, as it goes to 57% of its original price.

This is very non intuitive for some people, as they may think there will be a 45% discount.