cut all 6 colored sections as well as non colored sections. connect each section in an opposite section, what shape is formed?

The sides are 20 and 21 in   right triangle.

What defines a right triangle?

The term "right triangle" refers to a triangle with an interior angle of 90 degrees.

                 The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.The term "right triangle" refers to a triangle with an interior angle of 90 degrees. The hypotenuse, the side of the right triangle that is opposite the right angle and is also its longest side, and the height and base are the two arms of the right angle.

29² = x²  + (x+1)²

x²+ x² +2x +1 = 841

2x² +2x -840 =0

x² + x -420 =0

(x+21)(x-20)=0

x=20

the sides are 20 and 21

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The volume of the largest right cylinder that fits in a sphere of radius 4 units is 143 m².

Let the diameter of the cylinder be “d" and the height of the cylinder be “h".

Given radius of the sphere = r = 4m

Diameter of the sphere = d = 2r = 2×4 = 08 m

As the cylinder is inscribed in the sphere

Therefore, the diameter of the cylinder be “d" is equal to the height of the cylinder be “h".

i.e, d = h

By Pythagoras Theorem, In triangle ABC

AB²+BC²=AC²

Or, d²+h² = (8)²

Or, h²+h² = 64

Or, 2h² = 64

Or, h² = 64/2

Or, h = √32

And d =√32

Or, r = d/2

       = √32/2 =16/√32

Or, r = 16/√32

Volume of the cylinder = πr²h

                                       =22/7 × (16/√32 )² × √32

                                       = 22/ 7 × 8 ×√32

                                       = 142.229

Rounding up the value 142.229 in 143 m³

Therefore, the largest volume of the cylinder = 143 m³

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The radius of the circle as given is; 3.

The center of the circle as given is; (-4, 1).

It follows from the task content that the center and radius of the given circle image and radius are to be determined.

Recall, the center-radius equation of a circle takes the form;

(x - h)² + (y - k)² = r² where center is; (h, k) and radius is r.

By observation of the graph as well as the given equation of the circle, the pair of coordinates for the center is; (-4, 1).

Also, since the radius is the distance from the center to any point on the circumference of the circle; the radius of the circle is; 3.

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Answer:

0

Step-by-step explanation:

the y-intercept is (0,0).THe equation of the graph is y=8x

Answer: LOGICAL EXPRESSIONS

Step-by-step explanation: An if statement includes a logical expression which is the 'test. ' A logical expression is one that is either true or false. This is also called a Boolean expression.

Answer:

volume = 10,082.5 in³

Step-by-step explanation:

radius = 26/2 = 13

volume = πr²L = (3.14)(13²)(19) = 10,082.54 in³

Answer: 6416

Step-by-step explanation:

The perimeter of this triangle is 416 centimeters

The two positive integers are 1 and 5. The difference between two positive integers is 4, and when the smaller integer is added to the square of the larger one, the sum is 26. Let's use variables to represent these integers:

let x be the smaller integer and y be the larger integer. We can now create two equations based on the given information:

1) y - x = 4
2) x + y² = 26

We can solve these equations simultaneously. From equation (1), we can write y in terms of x:

y = x + 4

Now, substitute this expression for y into equation (2):

x + (x + 4)² = 26

Expand and simplify the equation:

x + (x² + 8x + 16) = 26
x² + 9x + 16 = 26

Subtract 26 from both sides:

x² + 9x - 10 = 0

Factor the quadratic equation:

(x - 1)(x + 10) = 0

Solve for x:

x = 1 or x = -10

Since x represents a positive integer, we take x = 1 as the solution. Now, find the value of y using the expression we found earlier:

y = x + 4
y = 1 + 4
y = 5

Thus, the two positive integers are 1 and 5. The difference between them is 4, and the sum of the smaller integer and the square of the larger integer is indeed 26 (1 + 5² = 1 + 25 = 26).

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Thus, the value of y for the given formula after simplification is found as:

y = x - 2(w + z).

Expressions can be made simpler by first enlarging any brackets, then multiplying or dividing any terms and, if necessary, using the rules of indices. Then, similar terms can be gathered by adding or subtracting them, and the expression is then rewritten.

By combining the terms those are similar, we can "collect the like terms" and make an algebraic expression simpler.

As we highlight a like terms, we has to include the sign next to the term and if appropriate identify the negative values.

The given formula is:

w = (x - y)/2 - z

To estimate the value of y.

Bring 'z' on the left of the formula.

w + z =  (x - y)/2

Now multiplying both sides by 2.

2(w + z) =  2*(x - y)/2

2(w + z) =  (x - y)

Now, isolate the variable 'y'.

y = x - 2(w + z)

Thus, the value of y for the given formula after simplification is found as:

y = x - 2(w + z).

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Answer:

The next step would be adding -4 to the other side since it would cancel out -4

Step-by-step explanation:

To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.

In the first round, there are 16 pairs playing against each other, resulting in 16 winners and 16 losers. In the second round, the 16 winners are paired up again, resulting in 8 winners and 8 losers.

So, there are a total of 16 x 8 = 128 possible collective outcomes for the first two rounds. Each outcome is determined by the combination of 16 winners and 16 losers in the first round, and then the combination of 8 winners and 8 losers in the second round.
In the first round of a knockout tournament involving 32 players, there are 16 pairs playing a game. Each pair has 2 possible outcomes: either player A wins or player B wins. So, there are 2^16 possible collective outcomes for the first round.

For the second round, there are now 16 winners, forming 8 pairs. Each pair still has 2 possible outcomes: either player A wins or player B wins. So, there are 2^8 possible collective outcomes for the second round.

To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.

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The number formed by the digits 16, 06, and 68 is 160668, which is determined by concatenating them in the given order.

To determine the number formed by the given digits, we concatenate them in the given order. Starting with the first digit, we have 16. The next digit is 06, and finally, we have 68. By combining these three digits in order, we get the number 160668.

When concatenating the digits, the position of each digit is crucial. The placement of the digits determines the resulting number. In this case, the digits are arranged as 16, 06, and 68, and when they are concatenated, we obtain the number 160668. It's important to note that the leading zero in the digit 06 does not affect the value of the resulting number. When combining the digits, the leading zero is preserved as part of the number.

Therefore, the number formed by the digits 16, 06, and 68 is 160668.

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Answer:

the answer for your question is "It's a cuboid"

Answer: Rectangular Prism

Step-by-step explanation:

Rectangular faces ✔️

8 vertices (4 on each side) ✔️

Solid figure ✔️

Answer:

x=10 and y=4

Im not sure if this is correct but I looked it up and it said it was right

Answer:

(if you're looking for intercepts then: x = 10, y = -4)

Step-by-step explanation:

\(\sf{2x - 5y = 20\)

\(\sf{Finding~x:\)

\(2x - 5y = 20\)

     \(+ 5y = + 5y\)

↪ 2x = 5y + 20

\(\frac{2x}{2} = \frac{5y}{2} + \frac{20}{2}\)

\(\sf{Finding~y:}\)

\(2x - 5y = 20\)

\(-2x~ = ~~~~-2x\)

↪ -5y = -2x + 20

\(\frac{-5y}{-5} = \frac{-2x}{-5} + \frac{20}{-5}\)

--------------------

Hope this helps!

Answer:

That is a 30 60 90 triangle.

In such a triangle the "middle" size = short side * sq root (3)

height = 5 * sq root (3) =  8.6602540378

Area = (1/2) * 5 * 8.6602540378

Area = 2.5 * 8.6602540378

Area = 21.6506350946 square centimeters

Step-by-step explanation:

Answer:

            A=24√3

            Put In Decimal Form:41.5692193817^3

Step-by-step explanation:

4 Inches on short side, this means that the long side is 8 inches because the short side is always 1/2 the length of the long side, The medium side length is 4√3. So you need to take the short side and medium side and multiply them by 1/2, look below for how to do it.

A=1/2(4)(4√3)

2(12√3)

24√3

Answer:

Sure, I can help you with that! To find the value of g(7), we simply need to substitute x=7 into the expression for g(x): g(7) = (7/8)*7 - 1/2 g(7) = 49/8 - 1/2 g(7) = 95/8 Therefore, g(7) = 95/8.

0 / 350

Answer:

9. The weights, in pounds, of five pumpkins from a pumpkin patch are 17, 18, 17, 15, and 13.

What is the MAD of the weights?

Step-by-step explanation:

9. The weights, in pounds, of five pumpkins from a pumpkin patch are 17, 18, 17, 15, and 13.

What is the MAD of the weights?

Answer:

4.95

Step-by-step explanation:

The volume of the rectangular prism is 16.2 ft³.

The volume of any object defined the capacity of it, how much it can hold something is called its volume.

Given is rectangular prism, we need to find the volume of the same,

So, we know that the volume of a rectangular prism is the product of its dimensions.

V = length × width × height.

\(V = 1\frac{1}{5} \times 4\frac{1}{2} \times 3\)

\(V = \frac{6}{5} \times \frac{9}{2} \times 3\)

V = 162/10

V = 16.2

Hence, the volume of the rectangular prism is 16.2 ft³.

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Answer:

2420

Step-by-step explanation:

convert 55% to a decimal

55 / 100 = 0.55

0.55 x 4400 = 2420

Answer:

Step-by-step explanation:

Volume

V = B * h

B = 1/2 a * b

Solution

Area of Triangles = B = 1/2 * 6 * 8

Area of Triangles = B = 24 square inches

Volume = B * H

Volume = 24 * 12

Volume = 288 cu in

Surface Area

Triangles

Area of one triangle = 24 square inches [ See Above ]

Area of two triangles = 48 square inches

Left Side

Area = L * W

L = 12

W = 8

Area = 12 * 8

Area = 96

Right side

Area = L * W

L = 12

W = 6

Area = 12 * 6

Area = 72

Area Back

L = 12

W = 10

Area = 12 * 10

Area = 120

Total = 120 + 72 + 96 + 48 = 336 square inches

Answer:

\(here \: < a \: and \: < b \: are \: on \: same \: line \: so \: \\ < a + < b = 180 \\ 3x + 5 + x + 15 = 180 \\ 4x + 20 = 180 \\ 4x = 180 - 20 \\ 4x = 160 \\ x = \frac{160}{4} = 40 \\ x = 40 \\ thank \: you\)

Write an example from daily life that uses rational numbers .

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Answer:

Step-by-step explanation:

False. They may have some that are the same, but not all.

Answer:

the answer is false hope this helped :)

As the lower bound of the 90% confidence interval is below 0, there is not enough evidence to conclude that  the proportion of overweight kids aged 6-11 among boys is greater than the proportion of overweight kids aged 6-11 among girls.

The sample proportions are given as follows:

The difference is then given as follows:

0.1367 - 0.1245 = 0.0122.

The standard error for each sample is given as follows:

Then the standard error for the distribution of differences is given as follows:

\(s = \sqrt{0.0153^2 + 0.0145^2}\)

s = 0.0211.

The critical value for a 90% confidence interval is given as follows:

z = 1.645.

The lower bound of the interval is:

0.0122 - 1.645 x 0.0211 = -0.0225.

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Answer: 15x + 150 = 950

Step-by-step explanation:

Let x equal the number of weeks.

He saves $15 per week, so 15 times the number of weeks, 15x.

He has already saved $150, so the money saved up over the weeks gets added to 150, 15x + 150.

all of the money he saves up has to equal 950, so 15x + 150 = 950.

I hope this helps!

Answer:

15x + 150 = 950

Step-by-step explanation:

I did dont paper I dont knwo how to upload it

#Everything4Zalo

Answer:

It would take 10 weeks to buy the laptop so she could cover the price of the laptop and tax.

Step-by-step explanation:

We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.

We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:

Neptune's radius is equal to the product of Earth's radius and its scale model.

With the provided values, we may simplify and obtain:

24620 km / 6370 km equals 2.5 cm / r

We obtain the following when solving for "r":

r = (24620 km * 2.5 cm) / (6370 km)

r ≈ 9.7 cm

Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.

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For height of garden we can use Phytagoreaan Theorem :

h² = 25² - 7²

h² = 625 - 49

h² = 576

h = 16 m

Area

= 1/2 × base × height

= 1/2 × 14 m × 16 m

= 7 m × 16 m

= 112 m²

Answer:

A

Step-by-step explanation:

A logarithmic function, log(x) has a domain x>0. For this logarithmic equation x+2>0, x>-2.

Rounded to 1 decimal place, the wholesaler's in-stock probability during a normal week is approximately 89.2%.

To calculate the wholesaler's in-stock probability during a normal week, we need to consider the number of items that are available for the entire week and divide it by the total demand.

Total demand = 4,800 items

Items not available for the entire week = 250 items

Items available for only part of the week = 270 items

Therefore, the number of items available for the entire week can be calculated as follows:

Items available for the entire week = Total demand - Items not available for the entire week - Items available for only part of the week

                                = 4,800 - 250 - 270

                                = 4,280 items

The in-stock probability can be calculated by dividing the number of items available for the entire week by the total demand and then multiplying by 100 to convert it to a percentage:

In-stock probability = (Items available for the entire week / Total demand) * 100

                   = (4,280 / 4,800) * 100

                   = 89.1666...

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