The triangle circumscribes the circle. What is the perimeter of the triangle?

a^2+b^2=c^2

a=15

b=25

15^2=225

25^2=625

225+b^2=625

b^2=400

b=20

Step-by-step explanation:

you can use right angle triangle to do the calculation

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

79.

Step-by-step explanation:

Replace the x by -5 and simplify:

f(-5) = 3(-5)^2 + (-5) + 9

       = 75 - 5 + 9

       =  79.

The value of f(-5) will be 79.

Step-by-step explanation:

An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s) is called a polynomial.

The following table gives special names given to polynomials of low orders.

polynomial order polynomial name

2                         quadratic polynomial

3                         cubic polynomial

4                        quartic

5                         quintic

6                         sextic

Here, the given polynomial: f(x) = 3x² + x + 9

by putting value of x = -5

\(3*(-5)^{2} + (-5) + 9\)

after putting we get,

\(75 - 5 + 9\)

On solving the above numerical we get,

\(79\).

So our final answer would be 79 on putting x = -5 in the given polynomial : f(x) = 3x² + x + 9

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Based on the calculations, the graph represent this system of inequalities;

A. y ≤ −2x + 3

y ≤ x + 3

In order to determine the graph which represents the system of inequalities, we would have to determine the slope for each of the line representing the functions f(x) and g(x).

Mathematically, the slope of a straight line can be calculated by using this formula;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

From the information provided, the points for the line representing the function g(x) include the following:

Points = (0, 3)

Points = (1.5, 0)

Substituting the given parameters into the formula, we have the following;

Slope, m = (0 - 3)/(1.5 - 0)

Slope, m = -3/1.5

Slope, m = -2.

Next, we would write the inequality equation with a y-intercept of 3;

y = mx + b

Where:

Therefore, the inequality equation for g(x) is y ≤ -2x + 3.

For the line representing the function f(x), the slope is as follows;

Substituting the given parameters into the formula, we have;

Slope, m = (3 - 0)/(0 + 3)

Slope, m = 3/3

Slope, m = 1.

An inequality equation for function f(x) with a y-intercept of 3 is given by;

y ≤ x + 3.

In conclusion, we used a "less than or equal" to inequality symbol (≤) because it was stated that the boundary lines are solid and shaded below the lines.

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The sum of the exterior angle of the pentagon is 360 degrees.

The polygon above is a pentagon. A pentagon is a polygon with 5 sides.

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

Therefore, the sum of the measure of the exterior angles of the pentagon as shown is 360 degrees.

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Answer:

x= -0.36

firstly you need to open the brackets

-3(3x +6) + 2=9

-9x -18 + 2=9

secondly join the like terms together

-9x = 9 + 18 - 2

-9x = 25

thirdly you divide both sides by 25

-9x ÷ 25 = -0.36

x= -0.36

Answer:

x√3 = 5√ 3

x = 5√ 3 / √ 3

x= √ 3(5√ 3 / √ 3)

x= 15/3

b= 5

5x2 =10

a=10 and b=5

Answer:

by looking in the copy and learning the tips or step how to do it

Answer:

For example, we could use y = price in dollars, x = gas in gallons, and a constant of proportionality k to represent the amount of money you have to pay at the gas station y = kx. In other words, the price you pay is in direct proportion to the gallons pumped.

Step-by-step explanation:

Hope this helped you understand it better

~Heaven~

Answer:

74.42

Step-by-step explanation:

(150-86):86*100 =

(150:86-1)*100 =

174.41860465116-100 = 74.42

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Answer:

Each exterior angle is 15°.

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

We know sum of exterior angles is 360°.

There are 24 exterior angles and each has the measure of:

b. Linear programming model is the correct option.

A linear programming model is a mathematical technique used to find the best outcome in a given set of constraints. In this case, Manders Manufacturing Corporation is trying to determine the optimal product mix for its two products, metal (M) and scrap metal (S), based on certain constraints. The objective is to maximize the profit, represented by the function Z = $30M + $70S.

The constraints are represented by the inequalities:

3M + 2S ≤ 15

2M + 4S ≤ 18

These constraints define the limitations on the production of metal and scrap metal. The model aims to find values of M and S that satisfy these constraints while maximizing the objective function.

Using linear programming techniques, the corporation can solve this model to find the optimal values for M and S that will maximize their profit. This approach allows them to make data-driven decisions and allocate their resources efficiently. By formulating the problem as a linear programming model, Manders Manufacturing Corporation can make informed choices about the optimal product mix to achieve their business objectives.

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\(\huge❤\bold\red{Hello}❤\)

Hey mate 4 is your Answer

\(My \: pleasure \: to \: help \: you \: anytime.\)

\(Mark \: me \: as \: brainliest .\)

\( \huge \mathscr \pink \star\underline {Follow \: me } \red \star\)

Answer:

4 friends

Step-by-step explanation:

Answer:

i belive so

Step-by-step explanation:

because you know and x is 2 so i say yes

Answer: 1-) is A plans 1 and 3

ANS 2 IS C plans 3

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

pie multiply 2 sq. 2 multiply with 5

In summary, the relationships between the corresponding sides and angles of similar triangles are: Corresponding sides are proportional and congruent.

When two triangles are similar, the corresponding sides of the triangles are proportional. This means that the ratio of the lengths of corresponding sides in the two triangles is equal. Similarly, the corresponding angles of similar triangles are congruent. This means that the angles in the two triangles that correspond to each other are equal in measure.

When two triangles are similar, it means that they have the same shape but possibly different sizes. The concept of similarity implies that the corresponding sides of the triangles have the same proportional relationship.

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Answer:

i would say b.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

answer would be 3!

Step-by-step explanation:

view the problem, it could be adding or subtracting. your welcome! c:

Answer:

-1

Step-by-step explanation:

m = -7 / 7 = -1 / 1 = -1

Answer:

-1

Step-by-step explanation:

To find the slope given two points, use the formula: \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\). In this case, the formula would be: \(\frac{-5-2}{3-(-4)}\). Solve the top first: -7. Solve the bottom next: 7. So your answer is: \(\frac{-7}{7}\) or -1.

Hope it helps!

Answer:

15 square centimeters

Step-by-step explanation:

A cube has 6 faces.

So, divide the surface area by 6 to get the surface area of a face of a cube.

Equation (for cube):

SA = surface area = 90

F = surface area of a face of a cube

F = \(\frac{1}{6}\) × SA

F = \(\frac{1}{6}\) × 90

F = \(\frac{90}{6}\) = 15, F = 15

So, the area of one face of the cube is 15 square centimeters.

The time it takes to complete a job varies inversely with the number of people working on it. This means that as the number of people working on the job increases, the time it takes to complete the job decreases.

We can use the following formula:

T1 * P1 = T2 * P2

Here, T1 and P1 represent the time and number of people in the first scenario, while T2 and P2 represent the time and number of people in the second scenario.

Given:
T1 = 28 hours (time taken by 11 carpenters)
P1 = 11 carpenters
P2 = 49 carpenters (number of carpenters in the second scenario)

We need to find T2 (time taken by 49 carpenters).

Step 1: Plug in the given values into the formula:
28 * 11 = T2 * 49

Step 2: Simplify and solve for T2:
308 = 49 * T2

Step 3: Divide both sides by 49 to isolate T2:
T2 = 308 / 49

Step 4: Calculate the result:
T2 = 6.2857 (rounded to 4 decimal places)

So, it will take approximately 6.29 hours for 49 carpenters to complete the same job.

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Answer:

An obtuse angle.

Opposite angles are equal

4x-20=100

+20

4x =120

÷4

x=30

So, 30 x 4 =120. Then, minus 20 is 100.

Compute the Gaussian density for the following cases. (a) x=0, m=0, s-1. Give the name of question5a (b) x-2, m=0, s-1. The value of the account on January 1, 2021, would be $2,331.57.

To calculate the value of the account on January 1, 2021, we need to consider the compounding interest for each year.

First, we calculate the value of the initial deposit after three years (12 quarters) using the formula for compound interest:

Principal = $1,000

Rate of interest per period = 8% / 4 = 2% per quarter

Number of periods = 12 quarters

Value after three years = Principal * (1 + Rate of interest per period)^(Number of periods)

                           = $1,000 * (1 + 0.02)^12

                           ≈ $1,166.41

Next, we calculate the value of the additional $1,000 deposit made on January 1, 2019, after two years (8 quarters):

Principal = $1,000

Rate of interest per period = 2% per quarter

Number of periods = 8 quarters

Value after two years = Principal * (1 + Rate of interest per period)^(Number of periods)

                         = $1,000 * (1 + 0.02)^8

                         ≈ $1,165.16

Finally, we add the two values to find the total value of the account on January 1, 2021:

Total value = Value after three years + Value after two years

                ≈ $1,166.41 + $1,165.16

                ≈ $2,331.57

Therefore, the value of the account on January 1, 2021, is approximately $2,331.57.

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Another possible vertex of the square is determined as (2, 1).

option B is the correct answer.

The vertex of a figure is the point of intersection of two sides of the shape.

The perimeter of the square is given as 12 units, the length of each side of the square is calculated as follows;

P = 12 units

a side length = 12 units / 4 = 3 units

To determine another possible vertex of the square, the length between the points must be equal to 3.

Let's consider point A;

A = (1, 2)

given vertex = (-1, 1)

distance between the points = √ (-1 -1)² + (1 - 2)² = √5

Let's consider point B;

B = (2, 1)

given vertex = (-1, 1)

distance between the points = √ (-1 -2)² + (1 - 1)² = √9 = 3

Thus, point B is another possible vertex of the square.

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answer

y=-7.4x+0.7

Step-by-step explanation: