Use the Pythagorean Theorem to prove that the three sides of the triangle are the three sides of a right triangle. Show all of your work.
2, 4, 2

Answer:

To find the width of the rectangle, we can use the formula for the area of a rectangle, which is the product of its length and width. In your question, you provided the area (A) as A = 8x^2 - 10x - 12, and the length is given as 4x + 3.

Let's denote the width as "w." So, we have:

Area (A) = Length (L) × Width (w)

A = (4x + 3)w

Now, we can solve for the width (w):

w = A / (4x + 3)

w = (8x^2 - 10x - 12) / (4x + 3)

Now, we need to simplify the expression for w. We can factor the numerator to see if there are any common factors:

w = [(2x - 4)(4x + 3)] / (4x + 3)

Now, we can cancel out the common factor of (4x + 3) in the numerator and denominator:

w = 2x - 4

So, the width of the rectangle is 2x - 4, which corresponds to option (C).

Step-by-step explanation:

The width of the rectangle is (8x^2 - 10x - 12) / (4x + 3)

To find the width of the rectangle, we need to equate the expression for the area of the rectangle to a product of its length and width. In this case, we have the area A = 8x2 - 10x - 12 and the length is given by 4x + 3. So, we can set up the equation (4x + 3) * width = A. Let's solve for the width:

So, the width of the rectangle is given by the expression (8x2 - 10x - 12) / (4x + 3).

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The surface area of a triangular prism can be found by adding the areas of all faces. The triangular faces are calculated using the formula for the area of a triangle, and the rectangular faces are calculated using the given dimensions of the sides of the triangles. The total surface area is the sum of these areas.

The question is asking for the surface area of a triangular prism. In order to find this, you need to add the areas of all the faces. A triangular prism has 5 faces, 2 are triangles, and 3 are rectangles.

For the triangular faces, we use the formula for the area of a triangle which is 1/2ab, where a and b are the provided dimensions. Thus, the triangle's area is 1/2 * 20 cm * 25 cm = 250 cm². Since there are two of these, the total area is 500 cm².

The rectangular faces are more challenging since it seems like we don't have enough information. The rectangle is made up of the sides of the triangles, so one side is 20 cm. However, we don't know the length (C) of the triangle which would be the other side of the rectangle. Assuming C is given, multiply each corresponding side to get the area of each rectangle, and add all together.

The final step is to add the area of the triangles and rectangles together to find the total surface area of the prism.

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Answer:

you did not specify the diamiter of the can please add another question and i will help

Step-by-step explanation:

it is imposible to answer right now

Final answer:

To solve for w in the equation 2/v + 1/5 = 3/w, a series of algebraic steps including taking reciprocals and simplifying complex fractions leads to w = (15v)/(10 + 2v).

Explanation:

To solve the equation 2/v + 1/5 = 3/w for w, we must isolate w. This involves several algebraic steps. First, we can take the reciprocal of both sides of the equation in order to get w on one side:

∑1/(2/v + 1/5) = 1/(3/w)

Through the properties of reciprocals and complex fractions, the equation simplifies down to:

w = ∑3 × (v × 5)/(2×5 + v)
This can be further simplified by multiplying through by 3 and combining terms under a single denominator. After simplification, we obtain the relationship:

w = (15v)/(10 + 2v)

Answer:

1. 12 games

2. 5 gift cards

3. 6 games

4. 2 more bags

Step-by-step explanation:

1. 50/ 4= 12.5, you can't play half a game, so reduce to 12

2. 120-36=84

3. 720-330=390

4. 30*4=120

The side of the square is 5.9 cm

Step-by-step explanation:

Area of the circle = 56 square cm

Side of the square= x

Area = π(r x r)

56 = π (r x r)

√17.83 = r

r = 4.22 cm

Diameter = 8.44cm

The diameter is equal to the diagonal of the square.

8.44 = x√2

x = 8.44/√2

= 5.9 cm

The side of the square is 5.9 cm

Answer:

The tree is 36.3ft

Explanation:

Tree=11m

If 1 meter is equal to 3.3 feet we multiple the number of meters(11) to 3.3

To convert from meters to feet, we multiply the given length in meters by the conversion ratio of 3.3. The tree, being 11 meters tall, is therefore approximately 36.3 feet tall.

The question asks us to convert the height of a tree from meters to feet. The tree is 11 meters tall and we'll use the conversion rate of 1 meter being equal to 3.3 feet. To do this, we multiply the height of the tree in meters by the conversion ratio: 11 meters * 3.3 feet/meter. This gives us a height of 36.3 feet. So the tree is 36.3 feet tall.

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The required median of the distribution is 7. Option B is correct.

When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.

Here,
To find the median of a distribution, we need to arrange the data in order from lowest to highest, and then identify the middle value. If there are an odd number of data points, the median is the middle value. If there are an even number of data points, the median is the average of the two middle values.

So, let's first list the values in ascending order:

1, 2, 3, 3, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9

The total number of data points is 20, which is even. Therefore, we need to find the average of the two middle values, which are the 10th and 11th values.

The 10th value is 7 and the 11th value is 7 as well, so the median is the average of these two values:

Median = (7+7)/2 = 7

Therefore, the median of the distribution is 7.

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Answer:

-1

Step-by-step explanation:

We have that the mean (m) is equal to 66, the standard deviation (sd) 9

They ask us for P (x <57)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / sd

We have all these values, replacing we have:

z = (57 - 66) / (9)

z = -1

57 score to z-score is -1

Answer:

III

Step-by-step explanation:

To find the original price before the 'one third' discount, divide the sale price by 2 and then multiply by 3. The original price of the trousers would be £71.19.

The fashion store sale offers a 'one-third' discount off regular prices. To find the original price of a pair of trousers that cost £47.46 after the discount, we should understand that this sale price represents two-thirds of the original price, as the discount removed one-third of the original price. Hence, to find the original price, we need to divide the sale price by 2 and then multiply the result by 3 (since the original price is equivalently 3 parts if two parts is the sale price). So, the original price is (£47.46 ÷ 2)*3 = £71.19.

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Answer:

I believe it is $32, because it says she worked 9/4 hours for $32. I apologize if this is incorrect.

Step-by-step explanation:

Answer:

7.09

Step-by-step explanation: its easy all you need to do the subtract

Answer:

using long division

Step-by-step explanation:

find a number that you can multiply.by the bottom of the fraction to make it 10 100 or even 1000 any 1 is following by 0's multiply both the top and the bottom.number.that you choose.

Answer:

42 3/7

Step-by-step explanation

Do long division or if you are using a calculator, divide 297 by 7.

You should receive the answer 42.428

Then, do 42 multiplied by 7. You should receive 294.

297 - 294 is 3

So if you include your 7 your final answer should be 42 3/7

The cosine function with a midline of 5, an amplitude of 3 and a frequency of 4/5 is: f(x) = 3 * cos((8π/5) * x) + 5.

Given:

Amplitude (A) = 3

Frequency (f) = 4/5

Midline = 5

A cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5 can be expressed as:

f(x) = A cos(2π f x) + midline

Substituting these values into the equation, we get:

f(x) = 3 * cos(2π * (4/5) * x) + 5

Therefore, the cosine function is f(x) = 3 * cos((8π/5) * x) + 5.

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To write a cosine function with a given midline, amplitude, and frequency.

y = 3 cos((4/5)x) + 5

In order to write a cosine function with a midline of 5, an amplitude of 3, and a frequency of 4/5, we can use the general form of the cosine function: y = A cos(Bx) + C. Here, A represents the amplitude, B represents the frequency, and C represents the midline.

Given that the midline is 5, the amplitude is 3, and the frequency is 4/5, we can substitute these values into the general form of the cosine function to get:

y = 3 cos((4/5)x) + 5

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Answer:4 hours

Step-by-step explanation:

6*2=12

12/3=4

Answer:

the answer is on the far left.

Step-by-step explanation:

Answer:

1. Negatively skewed

General Formulas and Concepts:

Statistics

Step-by-step explanation:

If we define left of the graph as "negative" and right of the graph "positive", we can see how most data points are shifted to the left.

∴ It would be negatively skewed.

It would not be 2. Symmetric because if we draw a line of symmetry, it is in fact unsymmetrical.

It would not be 3. Positively skewed because the data would be grouped towards the right.

It would not be 4. Exponentially skewed because the data is not strictly increasing bigger and bigger.

Answer:

1/1 that the answer

Step-by-step explanation:

1/4-2/5=1/1 that's the answer

Answer:

gcd(20a,14b)

Step-by-step explanation:

add 7a and 3a, and add 5b to 2b,

you're left with 10a + 7b, times two to both, and you have

20a + 14b

so the answer is gcd(20a,14b)

i have no clue i haven't done this before so thats what i'm guessing happens? good luck :,)

Answer:

The surface area of the prism is 342 sq un.

Step-by-step explanation:

[tex]A_S = a + a + b + b + c + c\\a = h \times w = 15 \times 3 = 45\\b = h \times l = 15 \times 7 = 105\\c = w \times l = 3 \times 7 = 21\\A_S = 45 + 45 + 105 + 105 + 21 + 21\\A_S = 90 + 210 + 42\\A_S = 342[/tex]

Answer:

Step-by-step explanation:

hello : look this solution

Answer:

c. domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0

Step-by-step explanation:

I took the test.

Answer:

The measure of angle Y is 76 degrees.

Step-by-step explanation:

A kite is a quadrilateral, so its angles must add up to 360 degrees. We can represent this with an equation:

W+X+Y+Z = 360

W+132+Y+76 = 360

We know that W=Y because side WX = side WY.

Y+ 208+Y = 360

2Y = 152

Y = 76 degrees

Answer:

A. 154 [tex]in^{2}[/tex]

Step-by-step explanation:

The formula for the area of a circle is [tex]\pi r^{2}[/tex]

First find the radius by dividing the diameter by 2, which is 7

[tex]\pi *7^{2}[/tex]

[tex]49\pi[/tex]

≈154 [tex]in^{2}[/tex]

Answer:

A

Step-by-step explanation:

The answer would be A

It has the lowest value on the number line, 8 lbs.

Answer:

Shelter A

Step-by-step explanation:

Answer:

For the circle on the left:

Center: (-4,2)

Radius: 3

For the circle on the right:

Center: (2,3)

Radius: 3

Step-by-step explanation:

check attached file it has the answers

3x =-18

X= -12

Answer:

Step-by-step explanation: