DETERMINA EL VOLUMEN DE UN PRISMA PENTAGONAL QUE TIENE LAS SIGUIENTES MEDIDAS: LADO 6.1 CM, APOTEMA 4.5, ALTURA 12.5CM DEL PRISMA

Answer:

7

Step-by-step explanation:

11 times 7 =77

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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Answer: 48 points

Step-by-step explanation:

i hope this helps

Answer:

The measure is 68

Step-by-step explanation:

180-112 = 68

side alternate exterior (supplementary)

The measure of angle 1 will be equal to 68.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet. The supplementary angle is defined as the angle having the sum of 180 degrees.

Given that there are two parallel lines intersecting one line at an angle of 112. The angle 1 will be calculated as:-

The angle will be calculated as follows:-

∠1 + 112 = 180

∠1 = 180 - 112 = 68

Therefore, the measure of angle 1 will be equal to 68.

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The denominator is zero (0/0 is undefined), we cannot determine the exact value of f(-3) using this equation.

To solve the given equations, we need to find the value of the function f(x) for specific values of x.

"If f(x) / (x - 2) = x³ + 2x - 4 + 13/(x - 2), what is f(2)?"

To find f(2), we can substitute x = 2 into the equation and solve for f(2).

Plugging in x = 2, we get:

f(2) / (2 - 2) = 2³ + 2(2) - 4 + 13/(2 - 2)

Since the denominator is zero (2 - 2 = 0), the equation is undefined. Therefore, there is no solution for f(2) in this case.

"If f(x) / (x + 3) = 3x² - 4x + 2, what is f(-3)?"

To find f(-3), we can substitute x = -3 into the equation and solve for f(-3).

Plugging in x = -3, we get:

f(-3) / (-3 + 3) = 3(-3)² - 4(-3) + 2

Simplifying, we have:

f(-3) / 0 = 3(9) + 12 + 2

f(-3) / 0 = 27 + 12 + 2

f(-3) / 0 = 41

Additional information or context is needed to solve for f(-3).

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Answer:

The correct answer is choice 3

Step-by-step explanation:

80 - 80 = 0

bruh

Answer:the answer would be C

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

there is no rhythm

Answer: 56.3%

Step-by-step explanation:

Answer:

$2370.59

Step-by-step explanation:

the final balance is $2370.59

Answer:

πr2h

3

Step-by-step explanation:

The equation of the line containing the paints A and B is y = -1/3x + 4

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

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

SSS stands for Side-Side-Side, which is a congruence criterion in geometry. It states that if the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

To explain why the triangles in each pair are congruent using SSS:

Pair 1:

Triangle ABC and Triangle DEF are congruent because they have the same lengths for all three sides.

AB = DE

BC = EF

AC = DF

Pair 2:

Triangle PQR and Triangle STU are congruent because they have the same lengths for all three sides.

PQ = ST

QR = TU

PR = SU

The order in which the sides are listed does not matter for the SSS criterion. As long as the three sides of one triangle have the same lengths as the three sides of another triangle, the triangles are congruent.

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To determine the area of the remaining piece of cardboard expressed in terms of x when a square of side length x inches is cut out from a rectangular piece of cardboard having a length of 6x+2 inches and a width of 2x-4 inches, use the following steps.

Draw and label a diagram of the problem. The rectangle should be labeled as 6x+2 inches by 2x-4 inches, and the square cut out should be labeled as x inches by x inches. This is how the diagram looks like: Determine the area of the rectangle, Arect.

The area of the rectangle is given by the product of its length and width. Thus, Arect = (6x + 2)(2x - 4) Determine the area of the square, Asq. The area of the square is given by the square of its side length. Thus, Asq = x²Step 4: Determine the area of the remaining cardboard after the square is cut out, Ar.

This is the difference between the area of the rectangle and the area of the square. Thus, Ar = Arect - Asq= (6x + 2)(2x - 4) - x²= 12x² - 20x - 16

Simplify the expression. The final answer is given in terms of x. Thus, Ar = 12x² - 20x - 16.The area of the remaining piece of cardboard is expressed in terms of x as 12x² - 20x - 16.

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The interest rate on the loan is 5.25%.

It should be noted that the formula for calculating the simple interest is given as:

Interest = (Principal × Rate × Time) / 100

In this case,

Interest = 65625

Principal = 125000

Time = 10

Interest = (Principal × Rate × Time) / 100

65625 = (125000 × R × 10)/100

Cross multiply

6562500 = 1250000R

Divide

R = 6562500 / 1250000

R = 5.25

The rate is 5.25%

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Answer:

55

32

-3

-8

-19

-32

Step-by-step explanation:

Answer:

1. y=3x

2. y=1x

3. y=7x

4. y=1x+7

5. y=3x-3

6. y=12x+2

Step-by-step explanation:

Hope this helps!

answer:

4d + 2w and 1/2(8d + 4w)

- read each line correctly and try to make something out of it, if that makes sense

Equation of option (d) is having different value of x than other 3 equations.

So, option (d) is correct option.

Solving equations

(a) (-7/8)x-(3/4)=20

adding 3/4  on both sides, we get

(-7/8)x = 20+(3/4)

multiplying (-8/7) on both sides, we get

x = -23.71

(b)  (7/8)x+(3/4)=-20

subtracting 3/4  on both sides, we get

(7/8)x = -20-(3/4)

multiplying (8/7) on both sides, we get

x = -23.71

(c) 7(-1/8)x-(3/4)=20

adding 3/4 on both sides, we get

(-7/8)x = +20+(3/4)

multiplying (-8/7) on both sides, we get

x = -23.71

(d) (-7/8)×(-8/7)x-(3/4)=20×(-8/7)

⇒ x-(3/4) = -22.85

adding 3/4 on both sides, we get

x = -22.85+(3/4)

x = -22.10

So equation in option (d) has different value of x than all other equation.

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Answer: 8a

Step-by-step explanation:

3a + 5a

8a

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

a) A function that gives the area of the playground (in square meters) in terms of x is A(x) = 60x - x².

b) The side length that gives the maximum area that the playground can have is x = 30 m.

c) The maximum area that the playground can have is 900 m².

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths, we have:

120 = 2(x + W)

60 = x + W

W = 60 - x

Therefore, the area of the rectangular playground (in terms of x) is given by this function;

A = LW

A(x) = x(60 - x)

A(x) = 60x - x²

Part b.

For the side length, we would take the first derivative of the area:

A(x) = 60x - x²

A'(x) = dA/dx

A'(x) = 60 - 2x

60 - 2x = 0

x = 60/2

x = 30 m

Part c.

W = 60 - x

W = 60 - 30

W = 30 m.

Therefore, the maximum area is given by;

A = 30 × 30

A = 900 m².

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Answer:

No

Step-by-step explanation:

No, because a function is a process in other words lets just say steps of doing stuff. It does tell that the students are doing stuff step by step.

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

0.081

Step-by-step explanation:

Answer:

0.081

Step-by-step explanation: