Topic: Explain all the steps taken to solve the problem below. The measure of the interior angles of the polygon ABCDE are shown below. Determine the measure of angle E.​

The surface area for the cylindrical box with a diameter of 15cm and height of 70cm is 1162.5π cm².

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The surface area of a cylinder is expressed as;

S.A = 2πrh + 2πr²

Where r is radius of the circular base, h is height and π is constant pi.

From the diagram;

Plug the values into the above formula and solve for surafce area.

S.A = 2πrh + 2πr²

S.A = ( 2 × π × 7.5cm × 70cm ) + ( 2 × π × ( 7.5cm )² )

S.A = 1050π cm² + 112.5π 7.5 cm²

S.A = 1162.5π cm²

Therefore, the surface area is 1162.5π cm².

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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A. If we fold the solid, the solid we would get is: right triangular prism.

B. Surface area of the right triangular prism (SA) = 228 ft²

D. Volume of the right triangular prism (V) = 180 ft³

Surface area (SA) = PL + bh; where we are given:

P = perimeter of the triangular base

b = base length of the triangular base

h = height of the triangular base

L = length of the triangular prism

Volume (V) = 1/2 × b × h × L, where we are given:

b = base length of the triangular base

h = height of the triangular base

L = length of the triangular prism

A. If we fold the solid, the solid we would get is: right triangular prism.

B. Surface area (SA) = PL + bh

P = 8 + 10 + 6 = 24 ft

b = 8 ft

h = 6 ft

L = 7.5 ft

Plug in the values

Surface area (SA) = (24)(7.5) + (8)(6)

Surface area of the right triangular prism (SA) = 228 ft²

D. Volume (V) = 1/2 × b × h × L,

b = 8 ft

h = 6 ft

L = 7.5 ft

Plug in the values

Volume (V) = 1/2 × 8 × 6 × 7.5

Volume of the right triangular prism (V) = 180 ft³

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The key features of the given quadratic functions are listed below.

In Mathematics and Geometry, the graph of any quadratic function would always form a parabolic curve because it is a u-shaped. Based on the first quadratic function, we can logically deduce that the graph is an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0) i.e 3 > 0.

For the quadratic function y = 3x² - 5, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, -5).

Domain: [-∞, ∞]

Range: [-5, ∞]

For the quadratic function y = -2x² + 12x - 15, the key features are as follows;

Axis of symmetry: x = 3.

Vertex: (3, 3).

Domain: [-∞, ∞]

Range: [-∞, 3]

For the quadratic function y = -x² + 1, the key features are as follows;

Axis of symmetry: x = 0.

Vertex: (0, 1).

Domain: [-∞, ∞]

Range: [-∞, 1]

For the quadratic function y = 2x² - 16x + 30, the key features are as follows;

Axis of symmetry: x = 4.

Vertex: (4, -2).

Domain: [-∞, ∞]

Range: [-2, ∞]

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Answer:

3.5 inches on the scaled model

Step-by-step explanation:

So using the ratio, 1:90 I thought of two ways to solve this

1) Proportion

2) Equation

Using the proportion method

1:90=x:315

Now cross multiply

315=90x

Now solve and you’ll get 3.5

Equation is just

315/90=X?

Just solve and you’ll also get 3.5

Answer:

f=68 not really sure though

Answer:

you didint explainded well

Step-by-step explanation:

Answer:

It's true

Step-by-step explanation:

Answer:

Step-by-step explanation:

The given equations are ...

  4a +5s = 87

  2a +2s = 40

We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.

  (4a +5s) -2(2a +2s) = (87) -2(40)

  4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses

  s = 7 . . . . . . . . . . . . . . . . . .simplify

  2a +2(7) = 40 . . . substitute for s in the second equation

  2a = 26 . . . . . . subtract 14

  a = 13 . . . . . . . divide by 2

Adult tickets cost $13; student tickets cost $7.

Answer:

Volume = 100 cm³

​Surface area of the square pyramid = 145 cm²

Step-by-step explanation:

Given:

Perpendicular height = 12cm

Square length = 5cm

Find:

Volume

​Surface area of the square pyramid

Computation:

Area of base = side²

Area of base = 5²

Area of base = 25 cm²

Volume = (1/3)(A)(h)

Volume = (1/3)(25)(12)

Volume = 100 cm³

​Surface area of the square pyramid = A + 1/2(P)(h)

Perimeter square pyramid = 4(s)

Perimeter square pyramid = 4(5)

Perimeter square pyramid = 20 cm

​Surface area of the square pyramid = 25 + 1/2(20)(12)

​Surface area of the square pyramid = 145 cm²

Answer:

Gloria travelled 7.5 yards on the bus.

Step-by-step explanation:

8 miles is 14080 yards

14080 - 880 = 13200

13200 yards is 7.5 miles

Answer:

SOLUTION,

HERE,

Area of whole fig= l×b

=5×15

=75 sq.in

Area of unshaaded part=l×b

=3×8

=24 sq.in

Area of shaded part=(Area of whole fig)-(Area of unshaded part)

=75-24

=51 sq.in

hope it helps u :)

The estimated sum of 76.81 and 2.17 is 79.

The first number given to us is 76.81.

The second number given to us is 2.17.

We need to find the estimated sum of the two numbers.

To find the estimated sum, we will round off the numbers to the nearest tenth.

Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.

After rounding, the first number becomes 76.8.

After rounding, the second number becomes 2.2.

The estimated sum is the addition of these rounded numbers.

The estimated sum is 76.8 + 2.2 = 79.

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There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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Answer:

u can do something like u have 8 pencils and 2 pens

Step-by-step explanation:

cause two divided by two is four and u only have to divide it once so that how u get that answer

The distance will be in the decimal form is :41.34

Consider the triangle :

Where “a” is the perpendicular,

“b” is the base,

“c” is the hypotenuse.

According to the definition, the Pythagoras Theorem formula is given as:

\(Hypotenuse^2 = Perpendicular^2 + Base^2\)

\(c^2 = a^2 + b^2\)

We have the points are:

15,-17 and -20, -5

To find the distance between them.

The distance of x- axis is:

15 - (-20)

= 15 + 20

= 35

The distance of y- axis is:

|17 - 5| = |-22| = 22

We can now use the Pythagorean theorem (a²+b²=c²) with our imaginary triangle:

\(x^2+y^2=(distance)^2\)

\(35^2+22^2=distance^2\)

\(1709= distance^2\\Distance = \sqrt{1709}\)

In decimal form the distance would be around 41.34.

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Answer:

-60

Step-by-step explanation:

-6 √100

We know the square root of 100 is 10 ( 10x10=100), so replace √100 with 10, and then multiply:

-6(10) = -60

The algebraic expression 18n - 45 is correct for the statement "45 less than the product of 18 and a number written as an algebraic expression"

We can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.

Let us represent the unknown number with the letter "n"

The product of 18 and the number will be;

18 × n = 18n

45 less than the product of 18 and the number (n) is thus written algebraically as;

18n - 45

Therefore, 45 less than the product of 18 and a number(n) is written as an algebraic expression as 18n - 45.

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Answer:

Step-by-step explanation: $130-$70 lift = $60/$20 per hour= 3 hours ski time

Answer:

a triangle that may not have the same dimensions as the bases

Step-by-step explanation:

The cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases would be a triangle that may not have the same dimensions as the bases.

The required explanation of GAN architecture model for given question is describe below.

GAN is an Overall Ill-disposed Organizations approach which creates demonstrating utilizing profound learning strategies like as convolutional unbiased organizations.

In AI it is a solo learning task which has consequently finding and learning the routineness or the example in input information in such a potential way that the model can be utilized to produce or result new models that could been drawn from the first dataset.

Then,

By outlining the issues as a directed learning issue with two sub-models the GAN is a shrewd approach to preparing generative model that is:

(I) Generator model-in this model we train to produce new models and,

(ii) Discriminator model-it attempts to arrange the models as genuine or counterfeit.

General Ill-disposed Organizations are solo profound learning strategies which executed with the two nonpartisan organizations that is generator model and discriminator model, this model contends in a type of game settings. This can either be prepared with genuine information where the information will produced by the generator and the discriminator work is to look at counterfeit from the genuine information.

General Ill-disposed Organization has three unique parts:

1. Generator model-it will create new information

2. Discriminator model - to characterize whether produced information is genuine or counterfeit.

3. Antagonistic model-it will cause them to rival one another's.

Generator model: It has an obligation regarding taking N-layered uniform irregular factors i.e., commotion as an information and producing counterfeit faces, the likelihood P(X) will be the chance where X is the info.

Discriminator model: In this piece of model it will basically assesses and recognize the created faces from genuine superstar faces where the contingent likelihood will be P (Y|X) where X is info and Y is the mark.

There are a few stages which are executed ever changing which permits GAN to handle:

Stage 1: In this step it will initially choose the quantities of genuine pictures from preparing sets.

Stage 2: After the choice of the genuine picture it will produce various phony pictures with the testing of irregular commotion vectors and will make pictures from them utilizing generators.

Stage 3: Presently the discriminator will begin it works via preparing for at least one ages utilizing phony and genuine pictures and it will name al l the genuine picture as 1 and the phony pictures as 0 in the wake of separating.

Stage 4: after the separation it will produce one more number of phony pictures.

Stage 5: Presently you have train the full GAN model for at least one rounds utilizing more phony pictures so it will refresh just generator's loads by putting them generally counterfeit pictures .

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Answer:

y = x + 2

Step-by-step explanation:

To find EF, we will use the formula;

cosθ = adjacent / hypotenuse

From the diagram,

adjacent = 9√3

hypotenuse =EF

cos 30 = 9√3 / EF

EF = 9√3 / cos 30

EF= 18

To find DE, we will use the formula;

tan θ = opposite / adjacent

tan 30 = DE /9√3

DE= (9√3) tan 30

DE= 9

To find m

30° + 90° + m

120° + m

subtract 120° from both-side of the equation

m

m< E = 60°

Answer:

B 6

Step-by-step explanation:

Answer:

B. 6

Step-by-step explanation:

6 x -14 = 3x + 4

3x = 18

X = \(\frac{18}{3}\) Which equals =

6

Answer:9/4

Step-by-step explanation: 3*3 is 9, so 9/4

Move the dot to 9/4

3 × ³/4 = 9/4