What are the steps for constructing an inscribed circle in
using only a compass and a straightedge?

Answer:

y = 1

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

then

y = | 3 - x | ← substitute x = 4

y = | 3 - 4 | = | - 1 | = | 1 | = 1

Answer:

To find g(26) when g(x) = 7x + 2, we simply need to substitute x = 26 into the expression for g(x):

g(26) = 7(26) + 2

g(26) = 184

Now, to find (g of f)(x), we need to substitute f(x) into the expression for g(x):

(g of f)(x) = g(f(x)) = 7(f(x)) + 2

Since f(x) = x - 2, we can substitute x - 2 for f(x) in the expression for g(x):

(g of f)(x) = g(x - 2) = 7(x - 2) + 2

Simplifying this expression, we get:

(g of f)(x) = 7x - 12

Now, to find (g of f)(26), we simply substitute x = 26 into the expression we just found:

(g of f)(26) = 7(26) - 12

(g of f)(26) = 182

Therefore, the answer is A) (not listed).

Answer:

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

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

The exact value of x is 24

To determine the value, we need to that the different trigonometric identities are;

From the information given, we need to determine the value of the opposite side.

The hypotenuse side = 16√3

The opposite side = x

Using the sine identity;

sin θ = opposite/hypotenuse

substitute the values

sin 60 =x/16√3

cross multiply the values

x = 16√3 × √3/2

Divide the values, then multiply the square roots of the values

x = 8×3

x = 24

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Answer:

[tex]y - 4 = - 3(x - 2)[/tex]

Based on the given context, 3s represent (d) three times Sydney’s age

From the question, we have the following parameters that can be used in our computation:

Sydney's age = s

Luke is 5 years younger than 3 times Sydney’s age

The interpretation of the second statement above is

Luke's age = Sydney's age - 5

Mathematically, this can be expressed as

l = s - 5

Where

Luke's age = l and

Sydney's age = s

Also from the question we have:

3s = 3 times Sydney's age

Hence, 3s represent (d) three times Sydney’s age

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Answer:

Okay, let's break this down step-by-step:

   The initial point is P(-4, 5)

   The terminal point is Q(-2, 7)

To find the components of the vector V, we need to determine:

   The change in x-coordinate = -4 - (-2) = -2

   The change in y-coordinate = 5 - 7 = -2

So the vector components are:

<change in x-coordinate, change in y-coordinate>

= <-2, -2>

Therefore, the answer is choice (i): < -2,-2>

The other choices do not represent the correct changes between the given points P and Q.

Step-by-step explanation:

The probabilities of the the team are 0.7, 0.9, 0.6 and 0.4

Given that

a) not win

This means that

P = 1 - P(win)

So, we have

P = 1 - 0.3

P = 0.7

b) not draw

This means that

P = 1 - P(draw)

So, we have

P = 1 - 0.1

P = 0.9

c) lose

This means that

P = 1 - P(win) - P(draw)

So, we have

P = 1 - 0.3 - 0.1

Evaluate

P = 0.6

d) not lose

This means that

P = 1 - P(lose)

So, we have

P = 1 - 0.6

P = 0.4

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Answer:

Step-by-step explanation:

given equation of a circle : x^2+y^2-6x+2y=b.

BY comparing it with x^2+y^2+2gx+2fy+c=0, we get

centre as (-g,-f)=(3,-1)

Since we know that radius r=sqrt(g^2+f^2-c)

Here radius is given as 4 units.

So,

4=sqrt((3)^2+(-1)^2-c)

=>16=9+1-c

Therefore, c=-6

The speed at which the surface area of the ice block changes when the base length is 10cm, and the height is 20cm is 180 cm^2 /min

The total area or region that is covered by a rectangular prism's six faces is known as its surface area.

Solids called prisms have identical polygon bases and flat parallelogram sides. Prisms come in a variety of shapes, including triangles, squares, rectangles, pentagons, hexagons, and more.

Thus, it can be seen that the speed at which the surface area of the ice block changes when the base length is 10cm, and the height is 20cm is 180 cm^2 /min

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Answer:

The length is 35 meters (m).

Step-by-step explanation:

182/2

91 = area of 1/5 of the field.

91 * 3

273 = area of cabbages.

182 + 273

455 = area of whole field.

a/w = l, because l * w = a

455/13

35

Answer:

The correct answer is 98°.

Answer: 82

Step-by-step explanation: all the angles of the triangle have to add up to 180 you all up the other angles and you get 98. 98= angle A your trying to find the outside angle we know that a line equals 180 degrees therefore we subtract that angle from 180 and get 82 which is your answer

Sure, I'd be happy to help you with this problem!

Given that the ratio of boys to girls in the school is 4:3, we can say that for every 4 boys, there are 3 girls.

Let's start by finding the total number of students in the school, using the information that there are 18 girls.

If 3 girls represent a part of the whole, then we can find the total number of parts by dividing the total number of girls by 3:

18 girls ÷ 3 = 6 parts

So, there are 6 parts in the whole.

Now, since there are 4 boys for every 3 girls, we know that for every 7 parts (4 boys + 3 girls), there are 4 boys.

To find the total number of boys, we need to figure out how many groups of 7 parts there are in the whole.

6 parts ÷ 7 = 0 with a remainder of 6

This tells us that there are 0 groups of 7 parts in the whole, with 6 parts left over.

Since we know that for every 7 parts there are 4 boys, we can find the number of boys in the remaining 6 parts by multiplying 4 by the fraction of 6/7:

4 boys × 6/7 = 24/7 boys

This tells us that there are 24/7 boys in the remaining 6 parts.

To find the total number of boys in the school, we need to add the number of boys in the groups of 7 parts and the number of boys in the remaining 6 parts:

0 groups of 7 parts × 4 boys per group = 0 boys

6 parts × 4 boys per 7 parts = 24/7 boys

Total number of boys = 0 boys + 24/7 boys = 24/7 boys

So, there are 24/7 boys in the school. We can simplify this fraction by dividing both the numerator and the denominator by 3:

24/7 ÷ 3/3 = 8/7 boys

Therefore, there are 8/7 boys in the school, which is approximately 1.14 boys.

However, since we cannot have a fraction of a person, we can round this number to the nearest whole number, which is 1.

Therefore, there is 1 boy in the school for every 3 girls, making a total of:

1 boy × 18 girls = 18 boys

So, there are 18 boys in the school.

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

I don't really know but try to read

2 3/4 cups is equivalent to 1 3/8 pints as a mixed number.

There are 2 cups in a pint. To convert 2 3/4 cups into pints, we can follow these steps:

Convert the whole number part of the mixed number to pints by dividing by 2.

Convert the fractional part of the mixed number to cups, then divide by 2 to get the corresponding pints.

Add the two results together to get the total in pints as a mixed number.

So, let's apply these steps to 2 3/4 cups:

The whole number part is 2, so 2 cups = 1 pint.

The fractional part is 3/4 cups, which is equivalent to 3/4 ÷ 2 = 3/8 pints.

Adding the two results, we get:

1 pint (from the whole number part) + 3/8 pint (from the fractional part) = 1 3/8 pints.

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The b. m<angle1 = 45°,

mangle2 = 67.5°  

An octagon has 8 sides.

Sum of interior angles = 180° x (n-2) = 180° x (8-2) = 180° x 6 = 1,080°

1,080° ÷ 8 sides = 135° interior angle.

Angle 2 = 135° / 2 = 67.50°

Angle 1 = 180° - 135° = 45°

If these were the choices given:

a. mangle1 = 45°, mangle2 = 135°

b. mangle1 = 45°, mangle2 = 67.5° ⇔ THIS IS THE CORRECT ANSWER.

c. mangle1 = mangle2 = 60°

d. mangle1 = 22.5°, mangle2 = 78.75°

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The amount of paint needed for the soup can is 409.77 cm².

Jacque is using an unopened soup can for a school project and wants to paint it.

The can is 10 cm tall and has a diameter of 9 cm. Therefore, the square centimetres of paint required to paint the soup is as follows:

Therefore,

surface area of a cylinder = 2πr(r + h)

where

Therefore,

r = 9 / 2 = 4.5 cm

h = 10 cm

surface area of a cylinder = 2 × 3.14 × 4.5(4.5 + 10)

surface area of a cylinder = 28.26(14.5)

surface area of a cylinder = 409.77 cm²

Therefore,

amount of paint needed = 409.77 cm²

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The equation that models the relationship between the number of guests, x, and the total charge, y is A. y = 450 + 125x. The base charge for a single guest is $450, and for each additional guest, the charge increases by $125. So, we add 125 times the number of additional guests to the base charge of $450.

To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.

The function value at x = 10 is:

f(10) = 1.85(10)^2 = 185

The function value at x = 20 is:

f(20) = 1.85(20)^2 = 740

The length of the interval is:

20 - 10 = 10

So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:

(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5

Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.

Answer: A.

Step-by-step explanation: we just need to distribute and see that the only plausible answer is a because when distributed it equals 3x=6

Car Make and Model that i choose is Toyota RAV4

The Cost of this car as of today is about $27,000

To know the value of car after one year will be:

20% of $27,000

= $5,400.

So the car  value will be:

$27,000 - $5,400

= $21,600 after year 1

3.  Value of car after second year of ownership:

15% of $27,000

= $4,050.

So, the car  value will be:

$21,600 - $4,050

= $17,550 after year 2.

4 The Exponential Function if the car continues to decrease in value by 15% each year will be;

V(x) = 27,000 x (0.85)ˣ

V(5) = 27,000 x (0.85)⁵

= 27,000  x  0.44370

= $11979.9

Therefore, the value of the car after owning it for five years is  $11979.9

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See text below

Car Value: Exponential

1. Pick a car that you would be interested in buying someday. Research the cost of buying this car.

Car Make and Model:

Cost of this car as of today:

2. Cars depreciate in value over time, which means they lose a certain percent of their value each year. A car typically decreases in value by 20% within the first year. If the car you picked above decreased in value by 20% in its first year, how much will it be worth one year after owning it?

Value of car after one year:

3. Each year after the first year, a car typically decreases around 15% in value. How much will your car be worth after owning it for 2 years?

Value of car after second year of ownership:

4. If your car continues to decrease in value by 15% each year, write the equation of the exponential function that models its value x years after you purchased it.

Exponential Function:

Use your exponential function to calculate the predicted value of your car after you own it for five years.

Value after five years of ownership:

The method can be used to find the range of a set of data is Find the difference between the maximum and minimum values. Option A

The range of a given set of data can simply be defined as  the difference that exists between the lowest and highest values of the data.

This is done irrespective of the arrangement of data like in ascending or descending order.

The range of values can be misleading sometimes when there are extremely high or low values.

For a range of function, it is the mean value of all the outputs of that function.

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The steps for the construction are given below:

A new line can be created connecting the points where these two circles intersect using just a simple ruler.

Now that you have succeeded in this task, feel free to experiment and manipulate the astonishing construction you've completed using the same innovative tools.

While this is only an elementary blueprint, there are numerous advanced constructions that can be produced by taking advantage of both GeoGebra and traditional paper/pencil/ruler/compass techniques.

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Answer:

Cadence is flipping her coin 32 times

Step-by-step explanation:

So the fraction is 1/32 which means 32 is the number of times the coin was flipped.

The Galois group of f over R is isomorphic to the symmetric group S4. The given statement "Each intermediate field of F/Q is a Galois extension of Q." is true because f is separable.

The roots of f are given by

x = ±(√(5) + √(2)), ±(√(5) - √(2))

Let φ be the automorphism defined by

φ(√(5) + √(2)) = √(5) + i√(2)

φ(√(5) - √(2)) = √(5) - i√(2)

φ(-√(5) + √(2)) = -√(5) - i√(2)

φ(-√(5) - √(2)) = -√(5) + i√(2)

where i is the imaginary unit. Then φ has order four since φ⁴ is the identity automorphism. Let σ be the automorphism defined by

σ(√(5) + √(2)) = -√(5) + √(2)

σ(√(5) - √(2)) = √(5) - √(2)

σ(-√(5) + √(2)) = -√(5) - √(2)

σ(-√(5) - √(2)) = √(5) + √(2)

Then σ has order two since σ² is the identity automorphism. It can be shown that the Galois group of f over Q is generated by φ and σ. Since φ has order four and σ has order two, the Galois group is a non-abelian group of order eight.

To prove or disprove that each intermediate field of F/Q is a Galois extension of Q, we need to show that each intermediate field is a splitting field of a separable polynomial over Q. Since F is the splitting field of f over Q, any intermediate field of F/Q is also a splitting field of f over Q. Since f is separable (its roots are distinct), every intermediate field of F/Q is a Galois extension of Q, and hence a splitting field of a separable polynomial over Q. Therefore, the statement is true.

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Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer:

I think it's 3

Step-by-step explanation:

it's skipping 2 after every three

It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.

Monthly Cash Flow Statement for Gable Supplies Ltd for the three months ending on 30th September 2018:

Month: July August September

Opening Cash: £0 £3,550 £16,700

Cash Inflows:

Share Capital: £55,000

Loan: £110,000

Cash Sales: £45,600 £49,400 £57,000

Credit Sales: £0 £72,000 £78,000

Total Inflows: £160,600 £125,950 £135,000

Cash Outflows:

Loan Repayment: -£2,450 -£2,450 -£2,450

Equipment: -£80,000

Inventory: -£50,000 -£54,000 -£67,500

Wages: -£12,000 -£12,000 -£12,000

Overheads: -£15,000 -£15,000 -£15,000

Rent: -£36,000

Total Outflows: -£157,050 -£109,250 -£118,450

Closing Cash: £3,550 £16,700 £33,250

It is assumed that the purchase of equipment and loan receipt occur in July. Although cash sales are evaluated with a 5% reduction, they make up 40% of totality.

Additionally, credit sales to be accrued in the subsequent month from when the product was sold.

Inventory acquisition constitutes approximately 45% of revenue each month, whereas payments to suppliers get delayed by one month.

Rent, on the other hand, needs to be paid annually but paid beforehand instead of scheduled billing periods.

To note, the non-cash category of expenditures does not encompass depreciation according to the cash flow statement rules.

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