10. Is it possible for a regular polygon to have 240° as the measure of each of its interior
angles?

The equation of the circular orbit and the parabolic path of the comet are

given by the center, diameter, vertex, and directrix.

Part A: The equation of the planet's orbit is; x² + y² = 50²

Part B: The equation of the comet's orbit is; [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: The planet's orbit and the comet's path do not intersect.

Reasons:

Part A: The center of the orbit = The origin (0, 0)

The diameter of the orbit = 100

Therefore;

[tex]Radius \ of \ orbit = \dfrac{100}{2} = 50[/tex]

The radius of the planet's orbit, r = 50

The equation of a circle with center (h, k) is; (x - h)² + (y - k)² = r²

Therefore, the equation of the circle is (x - 0)² + (y - 0)² = r²

Which gives;

x² + y² = 50²

Part B: The directrix of the parabolic path is x = 70

The vertex = (60, 0)

Therefore, -p = 70

[tex]The \ equation \ is \ x = \dfrac{1}{4\cdot p} \cdot (y - k)^2 + h[/tex]

Which gives;

[tex]The \ equation \ is \ x = \dfrac{1}{4\times (-70)} \times (y - 0)^2 + 60 = -\dfrac{y^2}{280} + 60[/tex]

[tex]x = \mathbf{ -\dfrac{y^2}{280} + 60}[/tex]

The equation of the comet's path in standard form is [tex]\underline{x = -\dfrac{y^2}{280} + 60}[/tex]

Part C: At the point where the path intersect, we have;

[tex]x^2 = \left( -\dfrac{y^2}{280} + 60 \right)^2[/tex]

Therefore;

[tex]\mathbf{\left( -\dfrac{y^2}{280} + 60 \right)^2} = 50^2 - y^2[/tex]

Let y² = a, we get;

[tex]\left( -\dfrac{a}{280} + 60 \right)^2 = 50^2 -a[/tex]

a ≈ -2015.693 and a ≈ -42784.31

y ≈ √(-2015.693) or y ≈ √-42784.31) (imaginary numbers)

The planet's orbit does not intersect the path of the comet.

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[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]

Answer:

1/2. and 12/24

they are both halves just as the ratio is half of the given number

Answer:

If tan2 x = 3 then the value of x is 3. So three is your answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

926/71 = 13 Remainder 3

Answer:

23518

Step-by-step explanation:

1) the total volume can be calculated as the sum of two volumes (for more info see the picture): V=V₁+V₂, where V₁ belongs to the prisma and V₂ - to the cylinder;

2) V₁=a*b*h; V₁=20*20*37=14800 (m³);

V₂=3/4*(π*r²*h); V₂=3/4*3.1415*100*37≈8717,6625 (m³), note the full volume of the cylinder cannot be included into the result, but 3/4 of its volume;

3) finally, V=14800+8717.6625=23517,6625≈23518 (m³).

Answer:

V = 23518 m3

Step-by-step explanation:

The volume of the cube part of building

(20)(20)(37)=14800 cm3

Each cylinder:

h=37/12=3.083 m

r=10 m

[tex]v=\pi (10)^{2} (3.083)=968.66m^{3}[/tex]

all the cylinders:

[tex]v=(12)(968.66)=11,623.89cm^{3}[/tex]

Total volume.

[tex]V=14800+\frac{3}{4} (11,623.89)[/tex]

[tex]V=14800+8717.92=23,517.92[/tex]

nearest m3:

[tex]V=23518m^{3}[/tex]

I hope this help you

Answer:

you do 215 times $0.25 you get $53.75 you take that away from $3272.30 you get $3218.55 then you divide that by 215 you get $14.97 so the answer is she makes $14.97 on one pair of earrings.

Step-by-step explanation:

Plz mark brainliest

Answer:

180

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

Answer:

$450+$50= X

X=$500

Step-by-step explanation:

The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.

Here we have to add.

450+50=500

(add the dollar sign)

$450+$50=X

X=$500

Answer:

the third graph.

the one where x intercept with 2

Step-by-step explanation:

2x-4=0

2x=4

x=2

therefore the graph should have a line that have a x-intercept of 2

Answer:

its 4 ezy

Step-by-step explanation:

please mark as brainlists

Answer:

yo good luck I dont know the anwsee

The difference between the two is 4,5

Answer:

   0.044

Step-by-step explanation:

The joint probability of independent events is the product of their individual probabilities.

  P(bar & Africa) = P(bar)×P(Africa) = 0.19×0.23 ≈ 0.044

Answer:

Step-by-step explanation:

Answer:

m∠R=76°

Step-by-step explanation:

∠STR=∠RST=(2x+2)° (base angles of isos triangle)

2(2x+2)+(3x+1)=180 (angle sum of triangle)

      4x+4+3x+1=180

               7x+5=180

                    7x=180-5

                        =175

                      x=175÷7

                        =25

Hence, m∠R = (3x+1)°

                     = [3(25)+1]°

                     = (75+1)°

                     = 76°

Answer:

m∠R=76º

Step-by-step explanation:

All angles in a triangle add up to 180º.

The triangle given is an isosceles triangle.

(2x+2)+(3x+1)+(2x+2)=180

Remove parentheses.

2x+2+3x+1+2x+2=180

Collect like terms.

7x+2+1+2=180

Add.

7x+5=180

Subtract 5 from both sides of the equation.

7x=175

Divide 7 from both sides of the equation.

x=25

m∠R=(3x+1)º

3x25+1=76º

m∠R=76º

Hope this helps :)

Time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

" Time is defined as the continues process which help us to measure the period/ length of occurring of event. It does not have any dimensions."

According to the question,

Time take by [tex]6[/tex] fruit pickers to pick the fruit from the field [tex]= 18[/tex]hours

As per the given situation we have,

Time taken by[tex]8[/tex] fruit pickers to pick the fruits of the same field

[tex]=\frac{(6)(18)}{8}[/tex]

[tex]=13.5[/tex]hours

Hence, time taken by [tex]8[/tex] fruit pickers to pick the fruits of the same field is equals to [tex]13.5[/tex]hours.

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Answer:

14/3 or 4 2/3

Step-by-step explanation:

10 1/2 => 21/2

2 1/4 => 9/4

21/2 divided by 9/4

(Keep, Change, Flip)

21/2 * 9/4

Cross Simplify = 21 becomes 7 and 9 becomes 3. 2 becomes 1 and 4 becomes 2.

7/1 *2/3 = 14/3 = 4 2/3

Answer:

256.25

Step-by-step explanation:

$10.25 not taxed x 25

Answer:

W/y

Step-by-step explanation:

Answer:

See below:

Step-by-step explanation:

So we know that there is a [tex]\frac{3}{4}[/tex] feet long board and that it is split into 6 pieces.

With that information, we can split it by doing the following:

1. [tex]\frac{3}{4} *\frac{1}{6}[/tex]

We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.

After doing that, we get our answer of [tex]\frac{3}{24}=\frac{1}{8}[/tex]

This means that each piece is [tex]\frac{1}{8}[/tex] feet long.

Cheers!

Answer:

3/24 feet long each.

Step-by-step explanation:

You are dividing 3/4 by 6, so the expression is:

(3/4) / 6

You can rewrite this as:

(3/4) * (1/6)

Then, multiply across, with the numerator of the new fraction being (3 * 1) and the denominator being (4 * 6)

Your answer becomes 3/24

Hello!

9xy-5xy=4xy

We can add like terms.

Like terms are same variables. Examples:

x+x

Remember:

x+x^2 can't be simplified.

y+x can't be simplified.

Hope it helps!

~Just a determined teen

#CarryOnLearning

[tex]MysteriousNature[/tex]

The expression 4xy is added to the equation 5xy to get 9xy​.

A collection of constants, variables connected using one or more arithmetic operator is called an expression

Example = 4y, 3x+4.

Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.

Example = 2x +4 = 12

Here, 4 and 12 are constants and x is variable

The equation can be solved as:

Let t be added to the following equation,

5xy + t = 9xy

Subtract 5xy  from both the sides,

t = 9xy​ - 5xy

t = 4xy

Thus, 4xy is added to 5xy to get 9xy.

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Answer:

linear, non linear, non linear, non linear

Answer:

A) f(t) = 29,800(0.89)^t

Step-by-step explanation:The truck value decreases by 11% each year.

The present value of the truck was $29,800.

29,800 x 0.11 = 3,728 dollars lost from value.

29,800 - 3,728 = 26,522, the value of the truck after one year.

26,522 x 0.11 = 2,917.42 cash lost from value.

26,522 - 3,728 = 23,604.58, the value of the truck after two years.

Therefore, the answer is A) f(t) = 29,800(0.89)^t.

Answer:

circle, triangle, rectangle

Answer:

the first cross section would make a circle (option 2, the second would make a triangle (option 6), and the last one would make a rectangle (option 1). hope this helps!

Answer:

i dont know

Step-by-step explanation:

i really dont know

Answer:

h = √(7.5² - 2.1²) = 7.2 m

Step-by-step explanation:

Answer:

28 is 10% of 280

Steps to solve "28 is 10 percent of what number?"

We have, 10% × x = 28

or,  

10

100

× x = 28

Multiplying both sides by 100 and dividing both sides by 10,

we have x = 28 ×  

100

10

x = 280

If you are using a calculator, simply enter 28×100÷10, which will give you the answer.

                     No sales | Sales

No Publishing |      10      __       __

Publishing       |      __       x        58

                              __      65       90

Fill in spots

                    No sales | Sales

No Publishing |      10      22       32

Publishing       |      15      43       58

                              25     65       90

43 applicants have both sales and publishing experience

[tex]16^x=13\implies (2^4)^x=13\implies ((2^2)^2)^x=13\implies ((4)^2)^x=13 \\\\\\ 4^{2\cdot x}=13\implies 4^{x\cdot 2}=13\implies \left[4^x \right]^2=13\implies \boxed{4^x}=\sqrt{13} \\\\[-0.35em] ~\dotfill\\\\ 2^{2x+1}\implies 2^{2x}\cdot 2^1\implies (2^2)^x\cdot 2\implies 4^x\cdot 2\implies \boxed{\sqrt{13}}\cdot 2\implies 2\sqrt{13}[/tex]

Answer:

A. 28x + 94y

Step-by-step explanation:

First, line up the like terms as if you were adding vertically, and combine them.

(42x + 59y)

+ (-14x + 35y)

(28x + 94y)

Hope this helps :)

An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:

1. A box file - It is an asset.

2. A computer - It is an asset.

3. A plastic display stand - It is not an asset.

An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.

A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.

The items given in the question can be categorized as follows:

1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.

2. A computer - It is an asset. The computer would be used for more than one accounting period.

3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.

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