Find the sum of the interior angles of a regular decagon. (10-sided figure)

The values of n and p which makes the system of equations true are 10 and 20 respectively.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have system of equation:

p=2n  and

p−5=1.5n

Put p = 2n in the other equation.

2n - 5 = 1.5n

2n = 1.5n +5    (add 5 on both sides)

0.5n = 5           (subtract 1.5n on both sides)

n = 10              (divide by 0.5 on both sides)

Put n = 10 in the equation p = 2n

p = 2(10) = 20

Thus, the values of n and p which makes the system of equations true are 10 and 20 respectively.

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The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A candle burns down at the rate of 0.5 inches per hour.

The original height of the candle was 8 inches.

Let y be the height of the candle and x be the number of hours.

Then the linear equation will be given as

[tex]\rm y = mx + c[/tex]

where m is the rate and c is the initial value. Then the linear equation of the candle will be

y = -0.5 x + 8

The function is a linear function.

If the value of m is replaced by 0.4. Then the linear equation will be

y = 0.4x + 8

And this will also be a linear function.

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Answer:

(9,0)

Step-by-step explanation:

8 + 1 = 9

3 - 3 = 0

(9,0)

Answer:

C. 720

Step-by-step explanation:

10 - 3 is 8 so you multiply all the numbers from 10 through 8

10 * 9 * 8 = 720

That is the answer. Hope it helped!

Answer:

C: 720

Step-by-step explanation:

i got 100% on the quiz

Answer:

Step-by-step explanation:

Remark

There are 6 faces on a cube.

Each face has an area of s^2

s = 5

One face is s^2

One face is 5^2 = 25 cm^2

6 faces are 6*25 cm^2

6 faces are 150 cm^2

Answer

150 cm^2

Answer:

$20

Step-by-step explanation:

let 1 meter of sulu = s, lusia has m dollar

7s = m + 1 => m = 7s - 1

5s = m - 5

5s = 7s - 1 - 5

2s = 6

s = 3

m = 7s - 1 = 21 - 1 = 20

Answer:

6 inches

Step-by-step explanation:

If the perimeter of the whole pentagonal sign is 30 inches, each side must be 6 inches. Why? A pentagon has 5 sides, and each side is equivalent. 30/5=6.

Would appreciate if you marked my answer as brainliest, have a good day :)

Answer:

koalas

Step - by - step explanation:

because they're so cute and cuddly

Answer: 4x-3

Step-by-step explanation: When subsituted, the equation should equal 0

Answer:

radius = 12 cm

Step-by-step explanation:

al - Arc Length

[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]

r - Radius

[tex]al \: = 8\pi \: cm[/tex]

[tex] \alpha \: = \frac{2\pi}{3} [/tex]

[tex]al \: = \alpha \times r[/tex]

[tex]r \: = \frac{al}{ \alpha } [/tex]

[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]

[tex]r = 12 \: cm[/tex]

Answer: Choice C

[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}[/tex]

=========================================================

Explanation:

There are four marked points on the line.

Each point is of the form (x,y)

Each of these points is then listed in the table format as shown above.

There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).

Extra side notes:

Answer:

the anwser is c

Step-by-step explanation:

trust me

Answer:

461.81

Step-by-step explanation:

your welcome

Answer: I believe the answer is D.

Step-by-step explanation:

Work Shown:

E = exterior angle = 60 degrees

n = number of sides of the regular polygon

n = 360/E

n = 360/60

n = 6

The regular polygon has 6 sides.

Answer:

y=7(3)= 21

y=7(8)= 56

y=7(10)= 70

Step-by-step explanation:

Answer:

X     Y

3     21

8     56

10    70

Step-by-step explanation:

Find Y by plugging in each X value to the given function.

Encuentre Y reemplazando cada valor de X en la función dada.

When x = 3 : y = 7 * 3 = 21

Cuando x = 3 : y = 7 * 3 = 21

When x = 8 : y = 7 * 8 = 56

Cuando x = 8 : y = 7 * 8 = 56

When x = 10 : y = 7 * 10 = 70

Cuando x = 10 : y = 7 * 10 = 70

Answer:

See below ~

Step-by-step explanation:

Question 1

⇒ -7x - (8x + 16) = -1

⇒ -7x - 8x - 16 = -1

⇒ -15x = 15

⇒ x = -1

⇒ y = 8(-1) + 16 = 8

⇒ Solution = (-1, 8)

Question 2

⇒ 3x + 4(-3x - 18) = 0

⇒ 3x - 12x - 72 = 0

⇒ -9x = 72

⇒ x = -8

⇒ y = -3(-8) - 18 = 6

⇒ Solution = (-8, 6)

Question 3 (not clear)

Question 4

⇒ -8x - 7(6x) = 0

⇒ -8x - 42x = 0

⇒ -50x = 0

⇒ x = 0

⇒ y = 6(0) = 0

⇒ Solution = (0, 0)

Question 8

⇒ 2x - 6(-5x - 19) = -14

⇒ 2x + 30x + 114 = -14

⇒ 32x = -128

⇒ x = -4

⇒ y = -5(-4) - 19 = 1

⇒ Solution = (-4, 1)

Answer:

3

Step-by-step explanation:

The minimum distance would be when there would be a horizontal line connecting the point (-5,1) with the line x=-2. So there would be a line from (-5,1) to (-2,1) which would be a straight line of 3 since -2 +5 = 3.

Answer:

8/13

Step-by-step explanation:

I think am not sure...

Answer:

y ≈ 46.2

Step-by-step explanation:

using the law of sines , then

[tex]\frac{y}{sin85}[/tex] = [tex]\frac{31}{sin42}[/tex] ( cross- multiply )

y × sin42° = 31 × sin85° ( divide both sides by sin42° )

y = [tex]\frac{31sin85}{sin42}[/tex] ≈ 46.2 ( to the nearest tenth )

Answer:

4/15

Step-by-step explanation:

P(drawing white marble and black marble)

= 6/10 × 4/9 [9 as there is no replacement]

= 4/15

The area of the trapezoidal tarp in the hotel is 47.3 square inches

The area of a trapezoid is calculated using:

Area = 0.5 * (Sum of parallel sides) * Height

From the complete question, the parallel sides are:

10 ft and 12 ft

So, we have:

Area = 0.5 * (10 +  12) * h

Evaluate

Area = 11 * h

The height (h) is calculated using the following cosine function

cos(120 - 90) = h/5

This gives

cos(30) = h/5

Make h the subject

h = 5cos(30)

Evaluate

h = 4.3

So, we have:

Area = 11 * 4.3

Evaluate

Area = 47.3

Hence, the area of the trapezoid is 47.3 square inches

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Answer: To find the height, first find that <D is 120.

This means the height of the trapezoid is approximately 4.3 feet.

So, the area of the tarp is approximately 47.3 square feet.

Step-by-step explanation: correct on edmentum/plato

Answer:

Step-by-step explanation:

The equation of a circle:

(a, b) - the center of a circle

r - the radius of a circle

x² - 8x + 16 + y² + 10y + 25 = 81

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

Therefore

the radius: r = 9

the center: (4, -5)

The radius is 9 and the center of the circle  (4, -5)

A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.

The equation of a circle:

(x - a)² + (y - b)² = r²

The center of a circle will be (a, b)

The radius of a circle will be r

x² - 8x + 16 + y² + 10y + 25 = 81

Solving the above equation on the basis of the Equation of a circle.

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

Using the identity in the above-given equation.

(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²

(x - 4)² + (y + 5)² = 9²

The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.

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Answer:

ok what must you do

Step-by-step explanation:

Step-by-step explanation:

s = top speed

p = horsepower

s = 27.3 × p^(1/6)

the exponent 1/6 means the 6th root of p.

17.

s = 27.3 × 70^(1/6) = 27.3 × 2.030094899... =

= 55.42159075... knots

18.

50 = 27.3 × p^(1/6)

50⁶ = 27.3⁶ × p

p = 50⁶/27.3⁶ = (50/27.3)⁶ = (1.831501832...)⁶ =

= 37.74367151... horsepower

Answer:

Your answer will be 38cm...

Answer:

We know that,

★ Area of Square = ( Side )² ★

Given:

Area of Squared garden is 1764 m².

To Find:

➛ Side = √1764

➛ Side = 42

We know,

★ Perimeter of Square = 4 × Side ★

Given:

➛ Perimeter = 4 × 42

➛ Perimeter = 168

Answer:

it would have took 15 years