What is the name of the Platonic solid below

1. The trigonometric ratios are given as follows:

2. The equation to solve for x is given as follows: sin(52º) = x/13.

3. Two equations to solve for m are given as follows:

4. The length of the hypotenuse of the triangle is given as follows: 7.9 inches.

5. The lengths are given as follows:

The three trigonometric ratios are given as follows:

In the second problem, we have that the side x is opposite to the angle of 52º, while the hypotenuse is of 13, hence the equation to solve for x is given as follows:

sin(52º) = x/13.

In item 3, the Pythagorean Theorem is used to solve for m, as follows:

n² + m² = l².

m² = l² - n²

m = square root (l² - n²).

In item 4, we have that the angle opposite to the leg of length 7 inches is of 62º, hence the hypotenuse is given as follows:

sin(62º) = 7/h

h = 7/sin(62º)

h = 7.9 inches.

The length BD in item 5 is obtained as follows:

cos(30º) = BD/5

BD = 5 x cos (30º)

BD = 4.3 cm.

Then the length BC is calculated as follows:

sin(22º) = 4.3/BC

BC = 4.3/sin(22º)

BC = 11.5 cm.

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Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

The result is that x = 8 is the smallest positive number such that f(x) surpasses g(x).

An integer is a whole number that may be positive, minus, or zero and is not a percentage. Integer examples include: -5, 1, 5, 8, 97, as well as 3,043. The following figures are examples of non-integer numbers: -1.43, 1 3/4, 3.14,.09, and 5,643.1.

To find the smallest positive integer x for which f(x) exceeds g(x)

we need to set the two functions equal to each other and solve for x:

f(x) = g(x)

-x² + 5x = -10x + 10

Simplifying the equation, we get:

x² + 15x - 10 = 0

Using the quadratic formula, we can solve for x:

x = (-15 ± sqrt(15² - 4(1)(-10))) / (2(1))

x = (-15 ± sqrt(265)) / 2

The two possible solutions are approximately -0.372 and -14.628. Since we are looking for the smallest positive integer solution, we take the ceiling of the positive solution to get x = 8.

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Answer: 1134.11

A=3.14*r^2

Step-by-step explanation:

Answer:

a ≈ 1134.11 cm2

Step-by-step explanation:

The formula:

\(a=\pi r^{2}\)

\(a=\pi (19)^{2} =361\pi\)

\(a=1134.11cm^{2}\)

Hope this helps

The exterior angle of the triangle is 62°.

What is triangle?

A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.

Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.

Let us take the triangle as ABC.

Here \(m\angle C\)= 180-(5x-3)° [Because straight line angle is 180°].

We know that sum of all angles in triangle is add upto 180° Then,

=> \(m\angle A+m\angle B+m\angle C\)=180

=> 43°+3x°+180-5x+3=180°

=> -2x=180-180-43-3

=> -2x=-46

=> x=13°

Now exterior angle ,

=> 5x-3

=> 5*13-3

=> 65-3

=> 62°

Hence the exterior angle of the triangle is  62°.

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Answer:

The total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

Step-by-step explanation:

Given that to purchase $ 13,900 worth of lab equipment for her business, Amy made a down payment of $ 1900 and took out a business loan for the rest, and after 3 years of paying monthly payments of $ 365.07, she finally paid off the loan to determine the total cost and interest applied on the loan, the following calculation must be made:

(365.07 x 12 x 3) + 1900 = Total cost

4,380.84 x 3 + 1900 = Total cost

13,142.52 + 1900 = Total cost

15,042.52 = Total cost

13900 = 100

15042.52 = X

15042.52 x 100/13900 = X

1,504,252 / 13,900 = X

108.22 = X

Therefore, the total cost was $ 15,042.52, and the interest percentage applied on the loan was 8.22%.

The table of values when the missing parts are completed is

In      7    15    20    22   9        x      (y - 1)/3    2x        x + 3

Out  22   46   61    67   28   3x + 1      y         6x + 1    3x + 10

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

The table of values

On the table of values, we can see that

The output value is 1 more than three times the input value

This can be expressed as

y = 3x + 1

When In = 22, we have

Out = 3 * 22 + 1 = 67

When Out = 28, we have

3 * In + 1 = 28

In = 9

When In = x, we have

Out = 3 * x + 1 = 3x + 1

When Out = y, we have

3 * In + 1 = y

In = (y - 1)/3

When In = 2x, we have

Out = 3 * 2x + 1 = 6x + 1

When In = x + 3, we have

Out = 3 * (x + 3) + 1 = 3x + 10

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Answer:

wacha le vas a hacer x-3+21=67

Answer:

3. The amount of wallpaper for a wall in a bedroom

Step-by-step explanation:

1. The number of towels I can fit in a bathroom cabinet

No, sounds more like volume, since a cabinet has space inside.

2. The amount of ribbon used to decorate from one end of a room to the another

No, sounds like perimeter, since a ribbon would need to cover space in one direction.
3. The amount of wallpaper for a wall in a bedroom

Yes, wallpaper is applied in 2 directions and lays flat on a surface to cover a certain area.

The Emily soccer team has the higher ratio of wins to losses.

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

Ratio of win to loss of Emily soccer team = 9 : 12

Ratio of win to loss of Grant soccer team = 10 : 15

9 : 12 = 9 / 12 = (9 × 5) / (12 × 5) = 45 / 60

10 : 15 = 10 / 15 = (10 × 4) / (15 × 4) = 40 / 60

If 60 games are losses, then 45 games are wins for Emily soccer team.

If 60 games are losses, then 40 games are wins for Grant soccer team.

Higher ratio is for Emily soccer team.

Hence higher ratio of wins to losses is for Emily soccer team.  

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Part (a)

The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.

\(C(x)=500+1.25x\)

Part (b)

The revenue is the number of slushies sold multiplied by the amount charged per slushie.

\(R(x)=3.50x\)

Answer:

B. 3188.5 cubic inches.

Step-by-step explanation:

The volume of a cone is calculated using the following formula:

Volume = (1/3) * π * r² * h

Where:

In this problem, we are given that r = 17 inches and S.h = 20 inches.

First we need to find height h.

py using Pythagorous theorem,we get

c²=a²+b²

here c= slight height and a is radius

20²=17²+b²

20²-17²=b²

111=b²

b=√(111)

Plugging these values into the formula, we get:

Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches

Therefore, the volume of the cone is 3188.5 cubic inches.

Answer:

4275

Step-by-step explanation:

You have to do 95 * 45

The way I do this would be, 95 is close to 100, and doing 100 * 45 is much easier than 95 * 45.

100 * 45 is 4500 but ofc that isn't the answer, since we are using 100 and not 95 we have to subtract 5 * 45 which is also a fairly simple equation to solve

5*45 is 225, so what we have to do now is take our 4500 and subtract our 225

4500 - 225 = 4275

Answer:

4,275

Step-by-step explanation:

Give 95 people for each game.

there is only one easy step, you multiply:

\(95*45=4275\)

hope this helped!
Brainliest Please!

The explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.

The explicit formula for the given sequence is:

a_n = 100n + 12

In the given sequence, each term is obtained by adding 100 to the previous term. The first term is 12, and each subsequent term is obtained by adding 100 to the previous term.

Using the formula, we can calculate any term in the sequence by substituting the corresponding value of n. For example:

a_1 = 100(1) + 12 = 112

a_2 = 100(2) + 12 = 212

a_3 = 100(3) + 12 = 312

a_4 = 100(4) + 12 = 412

Therefore, the explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.

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Answer: 157.5

Step-by-step explanation:

Answer:

you should have studied instead of going to a wed site

Step-by-step explanation:

many people can give u a wrong answer

Answer:

The ratio of blue balloons to the total number of balloons is 1:2.

The value of x that satisfies the given statement is 5.

The given statement can be written as an equation:

The excess of 15 over x is 10

15 - x = 10

To solve for x, we can isolate the variable on one side of the equation. Adding x to both sides, we get:

15 - x + x = 10 + x

Simplifying the left side, the x terms cancel out:

15 = 10 + x

Subtracting 10 from both sides, we get:

15 - 10 = x

Simplifying the left side, we get:

5 = x

x = 5

Therefore, the value of x is 5.

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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The distance between the points Q and R is found to be 8 units.

Algebraic expression that provides the distances between two points as a function of their coordinates (like coordinate system).

Now, as per the stated question;

The coordinates of the points Q and R are given as;

Q = (x₁, y₁) = (-7,-8)

And, R = (x₂, y₂) = (-7,0)

Now, substitute the values in the distance formula;

QR = √(-7 - (-7))² + (0 - (-8))²

QR = √(0)² + (8)²

QR = 8

Therefore, the distance between the points Q and R is calculated as 8 units.

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The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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To rewrite the expression -2(n-7) using the distributive property, we need to distribute the -2 to both terms inside the parentheses. The distributive property states that for any numbers a, b, and c:

a(b + c) = ab + ac

Applying this property to the given expression:

-2(n-7) = -2 * n + (-2) * (-7)

Simplifying further:

-2(n-7) = -2n + 14

Therefore, the rewritten expression is -2n + 14.

The money Jena will have after buying a set of markers in algebra expression is y = 15 - x.

Arithmetic operations like subtraction, addition, division, multiplication, and exponentiation are used to combine variables and integers to produce any algebraic expression. A variable, a number, or a variable and number with an exponent as a product can all be used as the phrase.

Cost is the amount of money spent by a business to produce or create goods or services.

The cost of one set of markers is x dollars.

Now Jen has a total of $15.

Then, the amount of money "y" Jena will have after buying one set of markers will be:

y = 15 - x

Hence, the algebraic expression after buying one set of markers is y = 15 - x.

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Yes, Matrix B is invertible.

And, The eigenvalues of B−1 are;

⇒ (5 ± 7.68) / 14 - 1

An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.

Given that;

B be a 2 ×2 matrix such that;

⇒ 7B² −5B + 3I = 0

Now,

Since, B be a 2 ×2 matrix.

And, The expression is,

⇒ 7B² −5B + 3I = 0

⇒ B² −5/7B + 3I/7 = 0

Multiply by B⁻¹, we get;

⇒ B - 5/7 + 3B⁻¹ = 0

Solve for B⁻¹;

⇒ 3B⁻¹ = - B + 5/7

⇒ B⁻¹ = - B/3 + 5/21

Thus, The matrix B is invertible.

And, The eigen value of B are;

⇒ 7B² −5B + 3I = 0

⇒ 7B² −5B + 3I = 0

⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7

⇒ B = 5 ± √25 - 84/14

⇒ B = 5 ± √- 59 / 14

⇒ B = 5 ± 7.68 i / 14

⇒ B - 1 = (5 ± 7.68) / 14 - 1

Thus, Matrix B is invertible.

The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1

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Answer:

28.8 yd^2

Step-by-step explanation:

The area of a triangle is calculated using the following formula:

1/2*b*h (b: base, h: height)

The height in this triangle is 6.4 yd and the base is 9 yd

1/2*9*(6.4) = 28.8

The total path length covered in 5 second will be 69.45 meter.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge. It performs the operation in five seconds.

Using the first equation of motion -

v = u + at

(30 x 5/18) = (70 x 5/18) + 5a

(30 x 5/18) - (70 x 5/18)  = 5a

- (5/18) x 40 = 5a

- (200/18) = 5a

a = - (40/18)

a = - 2.22 m/s²

S = 19.44 x 5 + 0.5 x (- 2.22) x 25

S = 97.2 - 27.75

S = 69.45 meter

Therefore, the total path length covered in 5 second will be 69.45 meter.

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[Question translation in english -

A train going at 70 km/h must reduce its speed to 30 km/h when passing over a bridge if it performs the operation in five seconds what total path has been traveled in that time.]

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

Addressing Aggression Among Students



You are Ali/Alia, a student of M.M Public School. You are deeply disturbed by the rising cases of aggressive behaviour among students in your school. You decide to address this issue during the morning assembly in order to spread awareness among the students. Write a speech in about 100- 150 words on the topic 'Aggression among youth' in about 100-150 words.

ChatGPT

Respected Principal, teachers, and dear fellow students,

Good morning to all of you. Today, I stand before you as a concerned student of M.M Public School to address a pressing issue that has been deeply disturbing me – the rising cases of aggressive behavior among students. Aggression is becoming a grave concern in our school and it's high time we take notice.

Aggression, whether physical or verbal, not only harms others but also affects the overall well-being of our school community. It creates an environment of fear and hostility, hindering our ability to learn and grow. We must understand that aggression is not a solution to our problems; it only exacerbates them.

It is essential for each one of us to cultivate empathy, tolerance, and respect towards our peers. Let's promote a culture of understanding, where conflicts are resolved through dialogue and compromise. Let's be the change we wish to see in our school. Together, we can create an atmosphere of peace, kindness, and compassion.

Thank you for your attention. Let's work together to combat aggression and create a harmonious environment for all.

Jai Hind!



A school is organizing the annual school musical. These are the costs involved: Hire of a theater $5000 Hire of costumes $600 Hire of sound equipment for 3 days at $50 per day Cost to provide the pre-show dinner is $25 per person Cost of printing is 50 cents per ticket A survey indicates that 2/5 of the 804 parents of students in the school will attend the musical. The organisers hope to make a profit of 10%. How much should they charge for a ticket? Show full working details, explaining what you are doing at each step and round your answers sensibly