The number of sides of a regular polygon is 20,
a) Find each external angles of the polygon?
b) Find each internal angles of the above polygon ?​

Answer:

z=10

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6=z−4

Step 2: Flip the equation.

z−4=6

Step 3: Add 4 to both sides.

z−4+4=6+4

z=10

Answer:

z is 10

Step-by-step explanation:

Move the terms, Calculate, Change the signs

Answer: the answer is 3 41/99

Step-by-step explanation: got it from khan pls mark me 5 stars

Answer: The equation -x = 1 has only one solution, x = -1.

This can be shown by solving the equation for x:

-x = 1

x = -1

To show that this equation has only one solution, we can plug in -1 for x and check that the equation is true:

-(-1) = 1

1 = 1

So x = -1 is the solution.

No other values of x would work here and make the equation true.

Step-by-step explanation:

The local boys club sold 91 bags of hardwood mulch at $4.25 each, and 45 bags of pine bark mulch at $3.75 each.

Selling is the action of exchanging goods or services in exchange for money. It is the process of persuading someone to buy a product or service. Sellers use various methods to persuade potential buyers, such as advertising, discounts, and promotions. Sellers must understand the needs and wants of their customers in order to effectively sell their products or services.

This totaled $532, with 91 bags of hardwood mulch costing $385.75 and 45 bags of pine bark mulch costing $168.75.

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Answer: Scenario Analysis

Step-by-step explanation:

Answer:

502.4 ft²

Step-by-step explanation:

To find the individual area of the ring, you first need to find the area of the white circle. Then, you need to find the area of the circle and the ring (which can be found by adding the width of the ring to the radius of the circle). Finally, you can find the area of the ring through subtraction.

Area (White Circle)

radius = 1/2 diameter

radius = (1/2) x 36 ft

radius = 18 ft

Area = πr²

Area = π(18 ft)²

Area = π(324 ft²)

Area = 1017.36 ft²

Area (White Circle + Ring)

radius = 1/2 diameter + width of ring

radius = (1/2 x 36 ft) + 4 ft

radius = 22 ft

Area = πr²

Area = π(22 ft)²

Area = π(484 ft²)

Area = 1519.76 ft²

Area (Ring)

Area (Ring) = Area (White Circle + Ring) - Area (White Circle)

Area (Ring) = 1519.76 ft² - 1017.36 ft²

Area (Ring) = 502.4 ft²

Long-Run Average Cost Curve is a curve that shows the lowest average total cost at which it is possible to produce each output when the firm has had sufficient time to change both its plant size and labor employed.

A Long-Run Average Cost Curve is also known as a planning curve. This is considering a firm plans to create an output in the long run by selecting a plant on the long run average cost curve corresponding to the output.

It is also called envelope curve, because it envelopes all short run average cost curves. Particularly, it envelops the short run the production levels or the production points.

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Step-by-step explanation:

DECREASING 3.8% means  96.2 % is left each year   ( .962 in decimal)

1800 (.962) ^6  =~ 1427 population

Answer:

1389.6

explamation

1500 of 3.8% is 68.4

68.4*6=410.4

1800-410.4=139.6

Answer 4/5 now give brainliest

Answer:

Step-by-step explanation:

a) y = \(\frac{7}{2}\)X

b) 7/2 * 4 = 157.5

c) y = \(\frac{7}{2}\)X + 42.43

d) 70.71  more minutes to finish reading  :)

There are several ways to solve this puzzle and get as close to zero as possible while still meeting the constraints.

One possible way is:

6 / 2 = 3 + 5 - 9 x 1

This equation can be simplified as follows:

6 / 2 = 3 + 5 - 9 x 1

3 = 3 + 5 - 9

3 = -1

However, this solution violates the constraint of making a true statement. Therefore, we need to adjust the equation to make it true while still getting as close to zero as possible. One way to do this is:

6 / (2 + 1) = 3 + 4 - 5 x 9

This equation can be simplified as follows:

6 / (2 + 1) = 3 + 4 - 5 x 9

2 = -38

This solution meets the constraint of making a true statement and gets as close to zero as possible.

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Answer:

x = 4\(\sqrt{3}\) , y = 8\(\sqrt{3}\)

Step-by-step explanation:

The ratio of the sides of a 30- 60- 90 triangle are

x : x\(\sqrt{3}\) : 2x

From the diagram

x\(\sqrt{3}\) = 12 ( divide both sides by \(\sqrt{3}\) )

x = \(\frac{12}{\sqrt{3} }\) × \(\frac{\sqrt{3} }{\sqrt{3} }\) ( rationalising the denominator )

  = \(\frac{12\sqrt{3} }{3}\)

x = 4\(\sqrt{3}\)

Then

y = 2x = 2 × 4\(\sqrt{3}\) = 8\(\sqrt{3}\)

The approximate values of x and y are 4√3 and 8√3, respectively.

Given is a right triangle with base = x and the hypotenuse = y and the perpendicular side is 12, the acute angle between the base and the perpendicular side is 60°.

We need to find the value of x and y,

So, to find the value of x and y, we will use the concept of trigonometric ratios,

So, we know,

Sin = perpendicular / hypotenuse

Cos = base / hypotenuse

Tan = perpendicular / base

Let's denote the acute angle between the base and the perpendicular side as θ.

Angle θ = 60°

Using the sine ratio, we can write:

Sin(60°) = 12 / y

√3/2 = 12 / y

Cross-multiplying, we get:

√3 × y = 2 × 12

√3 × y = 24

y = 24 / √3

y = 8√3

To find the value of x, we can use the cosine ratio.

Cos(60°) = x / y

1/2 = x / 8√3

Cross-multiplying, we get:

2x = 8√3

x = 4√3

Hence, the value of x and y are:

x = 4√3

y = 8√3

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To understand this question, we need some knowledge on radioactive decay. This type of nuclear decay is called a beta decay

This is the process where a radioactive material is fired or naturally emits a beta particle which is equivalent to the lose of an electron and spontaneously becomes an entirely different element.

\(^6_2He \to ^6_3 Li + ^0_-_1e\)

The participating actors in this nuclear reaction are

This is the decay process of helium particle in which it became a lithium particle and emitted an electron in the process.

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Answer: 20%

Step-by-step explanation:

Answer:

y=5x+11

Step-by-step explanation:

You can solve this with the point-slope formula: y-y1=m(x-x1). The line is parallel; both slopes are equivalent.

First we have to rewrite the original equation, which is rewritten into y=5x+2 by subtracting -5x on both sides.

Next, plug in the coordinates we have into the point-slope formula (-2, 1), along with the slope from the original equation (5). To check, we can plug the coordinates back into the equation.

y-(1)=5(x+2)

y-1=5x+10

y=5x+11

Check:

(1)=5(-2)+11

1=-10+11

1=1

Answer:

where is the picture

Step-by-step explanation:

Answer:

where's the picture?

Step-by-step explanation:

Answer:

13000 / 8 = 1625

1625 / 5 = 325

325 *3 *6 = 5850

Answer: 5850

Step By Step: First divide 13,000 by 8, giving you 1,625. Divide that by 5,

to get 325. So each machine makes 325 an hour. Multiply That by 3, giving you 975, multiply that by 6, giving you 5,850.

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2L +2W

L is the length

W is the width

If the length of a rectangle is 2 cm less than 7 times the width, then;

L = 7W-2 .... 2

Substitute eqn into the formula for finding the perimeter

P = 2(7W-2)+2W

P = 14W-4+2W

P = 16W-4

If P =60cm

60 = 16W-4

16W = 60+4

16W = 64

W = 64/16

W = 4cm

Hence the width of the rectangle is 4cm

Since l = 7w-

l = 7(4)-2

L = 28-2

L = 26cm

You can proceed and draw a rectangle with the dimension of 4cm by 26cm

The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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Answer:

x = - 44

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

2x - 10y = 18 ( subtract 2x from both sides )

- 10y = - 2x + 18 ( divide through by - 10 )

y = \(\frac{-2}{-10}\) x + \(\frac{18}{-10}\) , that is

y = \(\frac{1}{5}\) x - \(\frac{9}{5}\) ← in slope- intercept form

with slope m = \(\frac{1}{5}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{5} }\) = - 5

calculate the slope of the line through the 2 given points and equate to - 5

calculate slope m using slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 3, 6 ) and (x₂, y₂ ) = (7, x )

m = \(\frac{x-6}{7-(-3)}\) = \(\frac{x-6}{7+3}\) = \(\frac{x-6}{10}\)

then equating

\(\frac{x-6}{10}\) = - 5 ( multiply both sides by 10 to clear the fraction )

x - 6 = - 50 ( add 6 to both sides )

x = - 44

the decay constant for this material is approximately 0.0445.when t = 8 years, the amount of the material remaining is 550 grams.

The formula for radioactive decay is given by:

a = \(e^(-kt)\\\) * A

where a is the final amount,A is the initial amount, t is the time in years, and k is the decay constant.

We can use the given information to solve for k as follows:

When t = 0, a = A. So, we have:

A = \(e^(0 * k)\) * A

Simplifying this gives:

1 = e^0

Therefore, we can see that k = 0 at the start of the decay process.

Now, when t = 8 years, the amount of the material remaining is 550 grams. Therefore, we have:

550 = \(e^(-8k)\) * 700

Dividing both sides by 700 and taking the natural logarithm of both sides, we get:

ln(550/700) = -8k

Simplifying this gives:

k = ln(700/550)/8

Using a calculator, we can evaluate this expression to get:

k ≈ 0.0445

Therefore, the decay constant for this material is approximately 0.0445.

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Comparing the provided price for the water bottles and applying the simple unitary method, The answer is forty-eight-pack bottles have better unit price per bottle.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unitary approach involves calculating the value of a single unit, from which we can calculate the values of the necessary number of units.

The arithmetic operator is used to carry out mathematical operations on the provided operands, including addition, subtraction, multiplication, division, and modulus. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc. A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

for the forty-eight-pack of eight-ounce water costs 5.88.

1 pack of 1-ounce water costs 0.015

for 28 pack of 10-ounce costs 5.98

for 1 pack of 1-ounce water costs 0.021

So, 48 pack offers us better unit price per bottle.

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Answer:

AD=26.5 cm, AB= 16.5 cm, CD= 16.5 cm, and BC= 26.5 cm

Step-by-step explanation:

2(AD)+2(AB)=86

AD=10+AB

2(10+AB)+2(AB)=86

20+2(AB)+2(AB)=86

4(AB)=66

(AB)=16.5 or 16 \(\frac{1}{2}\)

AD=10+16.5

AD= 26.5

Answer:

15/4

Step-by-step explanation:

The formula for slope is:

(y₂-y₁)/(x₂-x₁)

Now we plug in the coordinates given to us into the equation:

(5-(-10))/(-1-(-5))

15/4

Answer:

309.91

Step-by-step explanation:

-0.1 + 12.4 / (-0.2)² + 0.01

BIDMAS

(-0.2)² = 0.04

12.4 / 0.04 = 310

-0.1 + 310 = 309.9

309.9 + 0.01 = 309.91

a) The probability that he receives no job offers is given as follows: 0.0001.

b) The probability that he receives at least one job offer is given as follows: 0.9999.

c) The expected number of job offers is given as follows: 5.6.

The mass probability formula for the number of successes x in n trials is defined by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are presented as follows:

The parameter values for this problem are given as follows:

n = 8, p = 0.7.

Hence the expected value is given as follows:

E(X) = np = 8 x 0.7 = 5.6.

The probability of no offers is:

\(P(X = 0) = (1 - 0.7)^8 = 0.0001\)

Hence the probability of at least one job offer is given as follows:

1 - P(X = 0) = 1 - 0.0001 = 0.9999.

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Answer:

144

Step-by-step explanation:

you have to use this formula

m CBA>= a

BA ( =2a

CBA>=72

BA )=72×2

hopefully its helpful

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc AB, then

arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A