the sum of the interior angle of a regular polygon is 1080
find the number of sides of the polygon​

Complete question :

Cari owns a horse farm and a horse trailer that can transport up to 8000 pounds of livestock and take she travles with 5 horses whose combined weight is 6240

Let t represent the average weight of tack per horse, which of the following inequalities could be used to determine the weight of the tack cari can allow for each horse

Answer:

t ≤ 352

Step-by-step explanation:

Maximum allowable weight (tack and horse) = 8000 pounds

Combined weight of 5 horses = 6240

Let average weight of tack per horse = t

Average weight of tack for the 5 horses = 5t

Hence, weight of tack + weight of horse ≤ 8000

5t + 6240 ≤ 8000

5t ≤ 8000 - 6240

5t ≤ 1760

t ≤ 352

Answer:

You can rearrange terms in an expression using the commutative and associative qualities to arrange compatible numbers next to one another and in groups.

According to the associative property, numbers can be added to or multiplied while still maintaining the same result. According to the commutative property, even if the numbers are added or multiplied, the solution will remain the same.

Explain:

[tex]\frac{4}{5}[/tex] ×(20×17/8)

20×17/8

340÷8

[tex]\frac{4}{5}[/tex]×[tex]\frac{340}{8}[/tex]

= [tex]\frac{64}{2}[/tex]

= 32

To know more about commutative property visit: https://brainly.com/question/778086

#SPJ4

Answer:

16ᵗʰ Term of the sequence is 1010

Step-by-step explanation:

7.)

Here,

First Term = a₁ = 5

Common Difference = d = 67

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 5 + (16 - 1) 67

a₁₆ = 5 + 15 × 67

a₁₆ = 5 + 1005

a₁₆ = 1010

Thus, 16ᵗʰ Term of the sequence is 1010

-TheUnknownScientist

Answer:

3km/h and the speed of the ship is 21 km/h.

Step-by-step explanation:

Answer:

The current is 3km/h and the speed of the ship is 21 km/h.

Step-by-step explanation:

Answer:Don't know

Step-by-step explanation:

Answer:

Find the value of xx in the equation below.

11=

11=

\,\,x -6

x−6

Step-by-step explanation:

Answer:

slope is 2 ,, y intercept is 5

Step-by-step explanation:

y=mx+c

m represents slope

c represents y intercept

Answer:

56 + 24y

Step-by-step explanation:

8(7 + 3y) = 56 + 24y

Because

8 * 7 = 56

8 * 3y = 24y

Answer:

(-7, 4)

Step-by-step explanation:

Answer:

times 1 by 80 and 5 by 80

Step-by-step explanation:

then you can determine from there

After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.

What is algebra?

One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.

The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x

$3.00 when converted to cents is 300 cents.

The value of nickels is 5 x 4x=20x.

The value of dimes is 10 x 3x=30x.

The value of quarters is 25x.

As the total value of money Miguel has is 300 cents, then the algebraic equation will be -

20x + 30x + 25x = 300

Solve to get the value of x -

75x = 300

x = 4

Therefore, the amount of quarters is x = 4 quarters.

The amount of dimes is x = 3x = 3 x 4 = 12 dimes.

The amount of nickels is 4x = 4 x 4 = 16 nickels.

To learn more about algebra from the given link

https://brainly.com/question/22399890

#SPJ1

Answer:

17.7 feet

Step-by-step explanation:

law of sines:

x = length of slide

base of slide forms a 90 degree angle with the ground

to find the number of degrees in the third angle, subtract 115 from 180

sin 65°/16 = sin 90°/x

16 = sin 65°(x)

x = 16/(sin 65°) ≈ 17.7 feet

Answer: J' (8, -9); K' (8, -2); L' (3, -2); M' (3, -9)

Step-by-step explanation:

A rotation of 90 degrees counterclockwise is (x, y) -> (-y, x), so

J (-9, -8) -> J' (8, -9)

First, you take negative 8 (y) of J and make it positive 8 for the x of J'. Then, take -9 (y) of J and switch it to x of J'.

You repeat this process for the rest of the points. X switches to Y with the opposite sign and Y switches to X but stays the same.

K (-2, -8) -> K' (8, -2)

L (-2, -3) -> (3, -2)

M (-9, -3) -> (3, -9)

Answer:

A) 25 feet

Step-by-step explanation:

A sculptor uses the scale of 3 inches to represent 15 feet. Find the amount of feet represented by 1 inch by simply dividing 15 with 3:

15/3 = 5

1 inch represents 5 feet.

Next, it is given that the model of the airplane is 5 inches long. Multiply 5 inches with 5 feet to get the total measurement of the original airplane:

5 x 5 = 25 feet.

5 inches represent 25 feet.

A) 25 feet is our answer.

~

Answer:

Step-by-step explanation:

-x+6=-2(x+2)-5

Solve for x

-x + 6 = -2(x + 2) - 5

-x + 6 = -2x - 4 - 5

x = -15

------------------------

- (-15) + 6 = -2(-15 + 2) - 5

21 = 21

x = -15

Answer:

3/10 m^2

Step-by-step explanation:

To find the area of the rectangle

A = l*w

  = 2/5 * 3/4

   =6/20

Divide the top and bottom by 2

  = 3/10 m^2

Answer:

As a decimal it would be 0.3 but as a faction it would be 3/10

Step-by-step explanation:

2/5 times 3/4 = 0.3 or 3/10

Answer:

x = 8

Step-by-step explanation:

x + 4 = 12

Subtract 4 from both sides

x = 8

Let's check

8 + 4 = 12

12 = 12

So, x = 8 is correct!

If you can, please give me a Brainliest, thank you!

Answer:

30 in.²

Step-by-step explanation:

Real:

length 30 ft

width 36 ft

Scale:

length 5 in.

width ?

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

area = length × width

area = 5 in. × 6 in.

area = 30 in.²

The area, of the floor in the scale drawing is 30 in.²

The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.

Given that  rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches.

length 30 ft

width 36 ft

Scale: length 5 in.

Then we have

30/36 = 5/x

30x = 5 × 36

x = 6

The scale width is 6 inches.

Scale area:

The area = length × width

area = 5 in. × 6 in.

area = 30 in.²

To learn more about unitary method click here:

brainly.com/question/24587372

#SPJ2

[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]

[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]

Answer:

transitive

.......gguf

In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.

As we know an operator is nothing but a symbol that represents a mathematical or logical process.

We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.

If m -= n

This means,  the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.

i.e., m = m - n

-= is an assignment operator.

Learn more about symbol here:

brainly.com/question/17310967

#SPJ4

Answer:

85 degrees

Step-by-step explanation:

Hi there!

<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:

60+25=x

85=x

Therefore, angle x measures 85 degrees.

I hope this helps!

Answer:

85

Step-by-step explanation:

Answer: The answer is A and b, the person above me is wrong

Step-by-step explanation: Hope y'all stay safe and healthy! ^^

Answer:

u sus imposter

Step-by-step explanation:

Answer:

P(x) = -5(x² - 12)² + 405

Step-by-step explanation:

P(x) = -5x² + 120x - 315

Factor out -5 from the first two terms

P(x) = -5(x² - 24x) - 315

Complete the square

P(x) = -5(x - 12)² - (-5(-12)²) -315

P(x) = -5(x - 12)² + 720 - 315

P(x) = -5(x - 12)² + 405

The equation point slope is y - y1 = m(x - x1)

we got y - (-16)=3(x-7)

To learn more about point of slope refers to:

brainly.com/question/25477817

#SPJ1

Answer: i believe that the answer is B :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can either use the graph or the chart.

For this question it'll be easier to use the graph.

First find the y-intercept (that were your line meet the y-axis)

y = 4

Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])

Slope = 2

Then plug them into the equation: y = mx + b

m = slope = 2

b = y-intercept = 4

y = 2x + 4

Therefore, the answer is A

Answer:

  $16,755

Step-by-step explanation:

You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.

The formula for the account value multiplier when interest is compounded annually is ...

  k = (1 +r)^t . . . . . . compounded annually at rate r for t years

When interest is compounded continuously, the multiplier is ...

  k = e^(rt)

The difference in account values between the two rates is ...

  ∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))

  ∆value ≈ $16,754.70

Benjamin will have about $16,755 more than Christian after 19 years.