Find the total surface area of the cone in the figure. (Use π = 3.14.)


A) 282.6 cm^2

B) 219.8 cm^2

C) 266.9 cm^2

D) 314.0 cm^2

The area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter is equal to 1.21 cm².

Mathematically, the area of a triangle can be calculated by using this formula:

Area = 1/2 × b × h

Where:

In order to calculate the area of ​​the figure Magda shaded with side lengths of 1 and √2 centimeter, we would determine the area of ​​each triangle as follows:

For triangle 1, we have:

Area = 1/2 × b × h

Area = 1/2 × 1 × 1

Area = 0.5 cm².

For triangle 2, we have:

Area = 1/2 × b × h

Area = 1/2 × √2 × 1

Area = 0.71 cm².

Total area = Area of triangle 1 + Area of triangle 2

Total area = 0.5 + 0.7

Total area = 1.21 cm².

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Complete Question:

Magda used a 1 cm square grid to draw the shaded figure, using right triangles. 1 cm 3 cm √2 cm 1 cm 1 cm what is the area of ​​the figure Magda shaded?​

A. Up

Parabolas are graphs that make U-shapes and are formed from quadratic equations.

Vertical Parabolas

There are 2 different types of parabolas: vertical and horizontal.

If the x-value is squared, then the parabola is vertical. So, this graph must open up or down.

Positive A-Value

The a-value is the coefficient before the squared term. In a vertical parabola, the graph opens up if the a-value is positive. On the other hand, the graph opens down when the a-value is negative.

In this case, the graph is a vertical parabola that opens up. This means that the range will have a minimum value but no maximum.

Standard form of a function is

So by comparing the given equation to the standard form, we get

a=1, b=pi/6, c=pi, d=3

amplitude can be written as mod a or

So the amplitude is 1

Now for the period, we use generalization as

So the period is 12

Here, c is the phase shift, so c=pi

Hence phase shift is pi

Midline is the line that runs between maximum and minimum values

Since, the amplitude is 1 and the phase shift is -pi, the minimum and maximum values are

Midline will be the centre of region (1+pi, 1-pi)

So the midline will be

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

The digits missing from the equation are 100, 10 and 1 respectively. The solution has been obtained by using the concept of algebraic equation.

What is algebraic equation?

If a mathematical phrase has variables, constants, and algebraic operations, it is said to be "algebraic" (addition, subtraction, etc.). The expression must contain the equals sign and satisfy the algebraic equation.

We are given an expression as

3. 58 × 100[(3 × 1) + (5 × 0. 1) + (8 × 0. 01)] × 100

On multiplying, we get

= (3 × 100) + (5 × 10) + (8 × 1)

= 358

Hence, the digits missing from the equation are 100, 10 and 1 respectively.

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Answer:

Step-by-step explanation:

There are three different possibilities for our first decision, each corresponding to which container we choose. So, if we choose container A, with 1/3 probability, we have a 6/10=3/5 probability of drawing green, which means we have a (1/3)(3/5)=1/5 of picking Container A and then picking a green ball. Similarly for container B the probability is (1/3)(4/10)=2/15, and the same for container C. So, the total probability is (1/5)+(2/15)+(2/15) = 7/15.

The product of the volume and total surface area of the given right conical frustum is approximately 146520π². To find the product of the volume and total surface area of a right conical frustum, we first need to determine the individual values of volume and surface area.

The volume of a frustum can be calculated using the formula:

V = (1/3)πh(r₁² + r₂² + r₁r₂),

where h is the height of the frustum, r₁ and r₂ are the radii of the larger and smaller bases, respectively.

In this case, we are given that the radii of the larger and smaller bases are 12 and 9 units, respectively. We also know that the two bases are 4 units apart, which means the height of the frustum is 4 units.

Substituting the given values into the formula, we have:

V = (1/3)π(4)(12² + 9² + 12*9)

 = (1/3)π(4)(144 + 81 + 108)

 = (1/3)π(4)(333)

 = (4/3)π(333)

 ≈ 444π cubic units

Now, let's move on to calculating the total surface area of the frustum. The formula for the total surface area is:

A = π(r₁ + r₂)ℓ + πr₁² + πr₂²,

where ℓ is the slant height of the frustum.

Since the frustum is a right frustum, the slant height ℓ can be found using the Pythagorean theorem:

ℓ = √(h² + (r₁ - r₂)²)

Substituting the given values, we have:

ℓ = √(4² + (12 - 9)²)

 = √(16 + 9)

 = √25

 = 5

Now we can calculate the total surface area:

A = π(12 + 9)(5) + π(12²) + π(9²)

 = π(21)(5) + π(144) + π(81)

 = 105π + 144π + 81π

 = 330π square units

Finally, to find the product of the volume and total surface area, we multiply the two values:

VA = (444π)(330π)

  ≈ 146520π²

Therefore, the product of the volume and total surface area of the given right conical frustum is approximately 146520π².

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Answer:

m = 10

Step-by-step explanation:

The solution for the system of equations: y = 3 - 2x and y = 8 - 7x, is x = 1, y = 1.

In the question, we are given a system of equations,

y = 3 -2x ... (i), and

y = 8 - 7x ... (ii).

We have been asked to solve the given system of equations.

To solve the system of equations, we do as follows:

Substitute the value of y = 3 - 2x, from (i) in (ii), to get:

y = 8 - 7x,

or, 3 - 2x = 8 - 7x, which is a linear equation in one variable.

To solve this, we follow these steps:

3 - 2x = 8 - 7x,

or, 3 - 2x + 7x = 8 - 7x + 7x {Adding 7x to both side of the equation},

or, 3 + 5x = 8 {Simplifying},

or, 3 + 5x - 3 = 8 - 3 {Subtracting 3 from both sides of the equation},

or, 5x = 5 {Simplifying},

or, 5x/5 = 5/5 {Dividing both sides of the equation by 5},

or, x = 1.

Substituting x = 1, in (i), we get:

y = 3 - 2x,

or, y = 3 - 2(1),

or, y = 3 - 2 = 1.

Thus, the solution for the system of equations: y = 3 - 2x and y = 8 - 7x, is x = 1, y = 1.

Note: The language seemed not gettable.

The question has been done assuming the question asking to solve the system of equations:

y = 3 - 2x, y = 8 - 7x.

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To answer this question, we are assuming that the triangle is a right triangle, with sides (legs), a = 0.84m, and b = 0.63m.

Then, we can use the Pythagorean Theorem as follows:

Then, we have:

• c is the hypotenuse

• a, b the given legs of the right triangle

Now, to solve the equation for c, we need to take the square root from both sides of the equation:

Therefore, c = 1.05m. The result was already given in three significant figures.

In summary, the measure of the hypotenuse of the given right triangle is 1.05m.

We have proven that if P(n) is true for infinitely many positive integers, and the implication P(n+1) implies P(n) is true for all n ≥ 1, then P(n) is true for all positive integers n.

We will prove this statement using proof by contradiction.

Assume that there exists a positive integer k such that P(k) is false. Let S be the set of positive integers for which P(n) is false. Since P(k) is false, k must be an element of S. Therefore, S is non-empty.

Since P(n) is true for infinitely many positive integers, there exists a positive integer m such that m > k and P(m) is true.

Now, since P(m) is true and P(n+1) implies P(n) for all n ≥ 1, we can conclude that P(m-1), P(m-2), ..., P(k+1) are all true.

But this contradicts the assumption that k is the smallest positive integer for which P(k) is false, since we just showed that all positive integers between k+1 and m-1 (inclusive) have the property that P(n) is true. Therefore, our assumption that P(k) is false must be false, and so P(k) is true for all positive integers k.

Hence, we have proven that if P(n) is true for infinitely many positive integers, and the implication P(n+1) implies P(n) is true for all n ≥ 1, then P(n) is true for all positive integers n.

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x=2/3

6(2/3) + 4 9/10 =4 + 4 9/10 = 8 9/10

Answer:

2x-1=y,2y+3=x

Step-by-step explanation:

no explanation

Answer:

its A.)

Step-by-step explanation:

(if you need the work lmk) :)

-Maddison-

the answer would be h<20 i believe

Step-by-step explanation:

because she works less than 20 hours

Answer:

55

Step-by-step explanation:

55

The total number of ways to stack three standard number cubes so that at least two sides of the stack show all the same number is 6 + 30 + 30 = 66 arrangements.

To find the number of ways to stack three identical number cubes so that at least two sides of the stack show all the same number, we can consider the possible combinations.

Let's analyze the possibilities:
1. All four sides of the stack show the same number:
There are 6 possible numbers that can appear on all four sides, so this gives us 6 arrangements.
2. Two sides of the stack show the same number:
We can have two adjacent sides showing the same number, or two opposite sides showing the same number.

a) Two adjacent sides showing the same number:
There are 6 possible numbers that can appear on the adjacent sides. For each number, there are 5 possible numbers that can appear on the opposite side. This gives us a total of 6 * 5 = 30 arrangements.

b) Two opposite sides showing the same number:
Similar to the previous case, there are 6 possible numbers that can appear on the opposite sides. For each number, there are 5 possible numbers that can appear on the remaining side. This gives us another 6 * 5 = 30 arrangements.

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Answer:

Step-by-step explanation:

https://answer.ya.guru/questions/6481809-which-number-line-correctly-represents-the-irrational-numbers.html

Answer:

i dont know because you didnt give number but is one -17 is so its that

Step-by-step explanation:

r is the position vector, x is the x-position coordinate and y is the y-position coordinate.

The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format:

r = <x, y>

r is the position vector.

x is the x-position coordinate.

y is the y-position coordinate.

So, the correct matching for each term in the equation is:

Term Description

r Position vector

x x-position coordinate

y y-position coordinate

The position vector is a vector that represents the location of a point in space. It is a two-dimensional vector, so it has two components: the x-position coordinate and the y-position coordinate. The x-position coordinate is the distance of the point from the origin along the x-axis, and the y-position coordinate is the distance of the point from the origin along the y-axis.

The equation above shows how to represent a position vector in Cartesian format. The Cartesian format is a way of representing vectors using coordinates. In Cartesian format, a vector is represented as a pair of numbers, where the first number is the x-component and the second number is the y-component.

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Correct Question :

The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format. Match each term in the equation with the correct description from this list:

y-position coordinate

x-position coordinate

position vector

Equation :    (a)   (b) (c)

                    |     |     |

                    r=<x,   y>

Answer:

it would be first one, 150/600

Step-the by-step explanation:

Why, because 25% of 600 is 150

Answer:

first option

Step-by-step explanation:

Answer: K

Step-by-step explanation:

Ill do it

Answer:

Im probably late but he walked 2.6 miles

Step-by-step explanation:

Answer:

A is answer

Step-by-step explanation:

Step-by-step explanation:

1) m∠1 = m∠4, m∠2 = m∠3   (1) Given

2) m∠AFC = ∠1 + ∠2             (2) Angle Addition Postulate

3) m∠EFC = ∠3 + ∠4            (3) Angle Addition Postulate

4) m∠EFC = ∠1 + ∠2             (4) Substitution

5) m∠AFC = m∠EFC             (5) Transitive Property

Thnk you

The value of r = 9.078.

pv = nrt. The factor “r” in the ideal gas law equation is known as the “gas constant”. r = \(\frac{pv}{nt}\). The pressure times the volume of a gas divided by the number of moles and temperature of the gas is always equal to a constant number.

so the student weights out .0422 grams of the magnesium metal so from here we can calculate that more's, the magnesium that he used, that is the mass of the magnesium over the more mass, which is .024422 over 24 point. That's equal to about .001758. More so also, it says the magnesium metal is react with excessive hydrochloric acid and produce hydrogen gas. A sample of the hydrogen gas is collected over water in a meter at 22 cecr, the volume of clictic gas is 43.9 and mastic pressure. Is that so using the experimental and collected data calculated are in the percent error? So we know the magnesium react with hydrochloride. The reaction ratio is 1 to 2 and we produce 1. More is the hydrogen and 1. More is magnesium chloride. So from this equatium we know that more of the hydrogen that would be produced in this case is equal to the mass of the magnesium here, that's his .001758 more and set way. There's among hydrogen. The temperature is 32 (degree celcius) which we need to convert the unit into kelvin, so it's actually about field 5.15 kelvin and tells you. The volume of the gas is 43.9 in ml, which is .0439 liter and tells you the pressure of the gas is about 832 millimeter. Mercury, which is a 2 times 13332 plus ca, that's equal to about 110922.24 par. So in this case we know p v = n r t.

r = \(\frac{pv}{nt}\)

So p = 110922.24. V = 0.0439 , n = 0.001758 t =  305.15. So let's just do the calculations here.

In this case you will find r=?

Here it's about 9.078.

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The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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Answer:

$422

Step-by-step explanation:

Answer:

3 terms

Step-by-step explanation: