Which of the following is the length of the hypotenuse of an
isosceles right triangle if the length of one of the legs is 8 cm?
a 10.45 cm
b 10.30 cm
c 11.22 cm
d 11.31 cm

Answer: 19x+24

Step-by-step explanation: 12x−8+7x+3212−8+7+32 x12+24+7

Answer: 19x +24

Step-by-step explanation:

well, if a value goes from 88 to 20, it clearly decreased, hmmm 88 - 20 = 68, by 68 units.

so if we take 88(origin amount) to be the 100%, what's 68 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 88 & 100\\ 68& x \end{array} \implies \cfrac{88}{68}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 22 }{ 17 } ~~=~~ \cfrac{ 100 }{ x }\implies 22x=1700\implies x=\cfrac{1700}{22}\implies x\approx 77.3[/tex]

The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.

Let us consider the present age of Earl to be x years.

According to the given question, the present age of Robin is twice that of Earl = 2x

And since it is given that Adam is 8 years younger than Earl, then his age

= x - 8

After 6 years, the age of Earl will be x + 6

Robin's age  will be = 2x + 6

Adam's age will be = x - 8 + 6 = x - 2

According to the given question, Robin's age will be thrice the age of Adam.

Hence, 2x + 6 = 3 (x - 2)

⇒ 2x + 6 = 3x - 6     ⇒ 6 + 6 = 3x - 2x     ⇒ 12 = x

Thus, the present age of Earl is 12 years,

Robin's age = 2x = 2 x 12 = 24 years

Adam's age = x - 8 = 12 - 8 = 4 years

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The model that would model the ratio is 4 : 1

the penalties made is given as 12

To get the penalty kicks that he made given that he made 9 more penalty kicks than he missed

let the penalty kicks be

= x

if he made more than 9 than missed we would have

x + 9 = 4

x = 1

cross multiply

1 (x + 9) = 4 * X

x + 9 = 4x

9 = 3x

x = 3

since x + 9 penalties made

3 + 9 = 12

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4214.7 is the balance in the account after 2 months .

What does compound and simple interest mean?

A fixed proportion of the principal amount borrowed or lent is what is known as simple interest and is paid or received over a given period of time.

                               Borrowers are required to pay interest on interest in addition to principal because compound interest accrues and is added to the total amount of interest from earlier periods.

P = $4200

R = 2.1% = 2.1/100 = 0.021  =

    T = 2 month = 2/12 = 1/6

   I = PRT

    = 4200 * 0.021 * 1/6 = 14.7

Amount = P + I = 4200 + 14.7  = 4214.7

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Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.

Answer:

The volume of a rectangular prism with length 25 cm and width 40 cm can be calculated as follows:

Volume = Length * Width * Height

Since the height is not given, we cannot calculate the exact volume.

Step-by-step explanation:

Bob tardó 55 minutos en limpiar el garaje, por lo que debemos convertir ese tiempo a segundos para saber cuánto tiempo tardó exactamente.

Sabemos que 1 minuto tiene 60 segundos, por lo que podemos utilizar esta información para convertir los 55 minutos a segundos. La fórmula para realizar esta conversión es:

Segundos = Minutos * 60

Aplicando esta fórmula a los 55 minutos que Bob tardó en limpiar el garaje, obtenemos:

Segundos = 55 * 60

Segundos = 3300

Por lo tanto, Bob tardó 3300 segundos, o aproximadamente 55 minutos, en limpiar el garaje.

Es importante destacar que la conversión de tiempo de minutos a segundos es una operación común en matemáticas y cálculo, y es útil para resolver problemas en los que es necesario trabajar con diferentes unidades de tiempo. Además, entender la relación entre diferentes unidades de tiempo es esencial para realizar cálculos precisos y resolver problemas de manera efectiva.

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The area of the composite figure is 24m², which is option C.

What is a composite figure?

A two-dimensional figure built up of fundamental two-dimensional shapes like triangles, rectangles, circles, semicircles, etc. is known as a composite shape or composite figure. To get the area of a composite shape, first determine the individual areas of every component. The total of the individual regions will then represent the area of the composite shape.

From the figure, we can see that from a big rectangle, 4 small identical squares of side 1m are cut from each corner.

We are asked to find the area of the rest of the rectangle which makes the composite figure.

W first find the area of the original rectangle.

Its length  = 5 + 1 + 1 = 7 m

Its breadth = 2 + 1 + 1 = 4 m

So the area of the rectangle = length * breadth = 7*4 = 28 m²

Now the side length of the square = 1 m

Area of one square = 1*1 = 1m²

So are of four identical squares = 4 * 1 = 4 m²

Therefore area of the composite figure = area of big rectangle - area of 4 squares = 28 - 4 = 24m²

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Answer:

24m^2 is ur answer

Step-by-step explanation:

Hope this helps

The measure of angle A is 83 degrees.

A triangle is a three-sided polygon that consists of three edges and three vertices.

In the triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6

Now we need to find the value of angle A.

We know that from angle sum property that the sum of three angles is 180 degrees.

∠A+∠B+∠C=180

12x-1+10x+3x+6=180

25x+5=180

25x=175

Divide both sides by 25

x=175/25

x=7

Now angle A is 12(7)-1=84-1=83 degrees

Hence, the measure of angle A is 83 degrees.

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The complete question is In Triangle ABC, ∠A=(12x-1)º, ∠B=10x and ∠C=3x+6 then the measure of m∠A

Solving an equation we will see that the measure of angle a is 68°.

We want to find the measure of angle a. On the image we can see that we have 3 angles, and the sum of these 3 angles should be equal to 180°, then we can write the equation:

28° + 90° + a = 180°

(the 90° angle is the one with the square).

Solving that equation for a, we will get:

a = 180° - 90° - 28°

a = 90° - 28°

a = 62°

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Answer:

x = 10

Step-by-step explanation:

[tex]-3x+8=5x-72[/tex]

Subtract 5x from both sides:

[tex]-3x+8-5x=5x-72-5x[/tex]

[tex]-8x+8=-72[/tex]

Subtract 8 from both sides:

[tex]-8x+8-8=-72-8[/tex]

[tex]-8x=-80[/tex]

Divide both sides by -8:

[tex]\dfrac{-8x}{-8} =\dfrac{-80}{-8}[/tex]

[tex]\boxed{x=10}[/tex]

First, assign variables to the given information:

We're given:

Plug the second equation into the first and solve using substitution:

[tex]x+y=709\\59+y+y=709\\59+2y=709\\2y=650\\y=325[/tex]

Therefore, 325 adult tickets were sold.

325 adult tickets were sold.

Answer:

(a) (0,0)

Step-by-step explanation:
Solving with Elimination method-

Take the first equation-    3x - 2y = 6

Multiply both sides by 2
2(3x - 2y) = 2*6
6x - 4y = 12

Subtract Both the equations-

  6x - 4y = 12
- 6x - 4y = 12
=          0 = 0


The answer is (0,0)

To find out how many percent of computers have the Microsoft operating system installed, we need to add up the percentage of computers that have Windows XP and Windows 7 installed.

First, let's find out how many percent of computers have both Windows 7 and Linux installed:

85% (Windows 7) - 6% (Windows 7 & Linux) = 79% (Windows 7 only)

Next, let's find out how many percent of computers have both Windows XP and Linux installed:

20% (Windows XP) - 4% (Windows XP & Linux) = 16% (Windows XP only)

Finally, let's add up the percentage of computers that have Windows XP and Windows 7 installed:

79% (Windows 7 only) + 16% (Windows XP only) = 95%

So, 95% of the company's computers have the Microsoft operating system installed.

Answer:

o calculate the percentage of computers with the Microsoft operating system installed, we need to find the total number of computers that have either Windows XP or Windows 7 installed.

Microsoft Windows XP operating system is installed on 20% of the company's computers, so 20% of the computers have Windows XP installed.

Microsoft Windows 7 is installed on 85% of computers, so 85% of the computers have Windows 7 installed.

Linux and Microsoft Windows 7 are installed on 6% of computers, so 6% of the computers have both Windows 7 and Linux installed.

Microsoft Windows XP and Linux on 4% of computers, so 4% of the computers have both Windows XP and Linux installed.

All three programs are installed on 2% of computers, so 2% of the computers have all three programs installed.

To avoid double-counting the computers that have both Windows 7 and Linux installed, we need to subtract 6% from the total number of computers with Windows 7 installed. The same applies to the computers that have both Windows XP and Linux installed, so we need to subtract 4% from the total number of computers with Windows XP installed.

The total number of computers with Windows XP or Windows 7 installed is 20% + (85% - 6%) + (20% - 4%) = 20% + 79% + 16% = 115%.

So, 115% of the company's computers have the Microsoft operating system installed.

Step-by-step explanation:

The values on the stem are {5, 5, 4, 3, 4, 3} and the leaf of the data set is represented by {6, 4, 1, 2, 7, 9}.

A stem and leaf plot, also known as a stem and leaf diagram, is a way to arrange data so that it is simple to see how frequently various sorts of values occur. It is a graph that displays ordered numerical data. A stem and a leaf are divided into each piece of data.

A stem and leaf plot is shown as a customized table with the first or final digit of each data value divided into a stem and the remaining digit in a leaf.

According to the stem leaf plot the first digit is the stem and the second digit is the leaf.

Hence, the values on the stem are {5, 5, 4, 3, 4, 3} and the leaf of the data set is represented by {6, 4, 1, 2, 7, 9}.

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Answer:

16c

Step-by-step explanation:

Answer:

g = 16c

Step-by-step explanation:

Let's use g (the number of gallons) and c (the number of cups).

Since there are 16 cups in one gallon, the equation can be represented by:

one gallon = 16 cups →

g = 16c.

We use the coefficient to represent the quantity of cups needed to make one gallon.

The volume of the silo of cylinder shape containing grain is 8625.24 cubic units.

The volume of the cylindrical shaped grain silo will be calculated by the formula -

Volume = πr²h, where r represents radius and h represents height of the cylinder.

Now, as we know radius is half of the diameter. So, radius = 17/2

Performing division on Right Hand Side of the equation

Radius of the cylinder = 8.5

Keep the values in formula to find the value of volume of silo

Volume = π × 8.5² × 38

Taking square and performing multiplication on Right Hand Side of the equation

Volume = 8625.24 cubic units

Hence, the volume is 8625.24 cubic units.

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Knowing the value of p tells one that option b. whether there is statistical significance.

The concept of probability, which is a measure of the likelihood of an event occurring. It is an essential tool in statistics, and it helps us make informed decisions based on data.

Now, let's dive into the answer to the question. Knowing the value of p tells us about the statistical significance of our results. In statistical analysis, we often conduct hypothesis tests to determine whether a particular effect is significant or just occurred by chance.

The p-value is the probability of observing the results we obtained under the null hypothesis, assuming that the null hypothesis is true. The null hypothesis is the default assumption that there is no significant difference between groups or means.

If the p-value is low, say less than 0.05, we reject the null hypothesis and conclude that there is a significant difference between groups or means. On the other hand, if the p-value is high, we fail to reject the null hypothesis, and we cannot claim that there is a significant difference between groups or means.

To give an example, suppose we conducted an experiment to test whether a new drug reduces blood pressure. We would have a control group that receives a placebo and a treatment group that receives the drug. We measure the blood pressure of both groups and compute the p-value. If the p-value is less than 0.05, we would conclude that the drug is effective in reducing blood pressure.

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The inequality that represents the least number of days after Monday that Joseph needs to run to reach his goal is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

Number of miles that Joseph run on Monday = [tex]2\frac{1}{2}[/tex] miles

Number of miles that Joseph run each day after that = [tex]1\frac{1}{3}[/tex] miles

The inequality is the mathematical statement that shows the relationship between two expression using an inequality symbol. The inequality symbols are less than, greater than, less than or equal and greater than or equal.

Then the inequality will be

[tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

Where x is the number of days after Monday that Joseph needs to run to reach his goal

Therefore, the inequality is [tex]2\frac{1}{2}[/tex] + [tex]1\frac{1}{3}x[/tex]  ≤ 6

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Answer:

x < -5

Step-by-step explanation:

- 3x > 15 is equal to x < -5

When the cost of 7 books is equal to Rs 300 more than the 5 same books then the cost of a single book is equal to Rs 150.

Let us consider Rs 'x' be the cost of a single book .

Equation to represents the given expression 7 books is equal to Rs 300 more than the 5 same books is :

⇒ 7x = 300 + 5x

Subtract 5x from both the side of the equation we get,

⇒ 7x -5x = 300 + 5x - 5x

⇒ 2x = 300

Divide both the side by 2 we get,

⇒ 2x / 2 = 300 / 2

⇒ x =  Rs. 150

Therefore, the cost of a single book as per the given condition of 7 books is equal to Rs 300 more than the 5 same books is given by          Rs 150.

The above question is incomplete, the complete question is:

If 7 books cost Rs. 300 more than 5 books, find the cost of a book.​

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The standard form of the equation of the quadratic function is y = -1/8x^2 + 1/4x - 41/8

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

(h, k) = (1, -5)

(x, y) = (5, -7)

A quadratic function is represented as

y = a(x - h)^2 + k

So, we have

y = a(x - 1)^2 - 5

Given that

(x, y) = (5, -7)

We have

-7 = a(5 - 1)^2 - 5

This gives

16a = -2

So, we have

a = -1/8

Recall that

y = a(x - 1)^2 - 5

So, we have

y = -1/8(x - 1)^2 - 5

Expand

y = -1/8(x^2 - 2x + 1) - 5

This gives

y = -1/8x^2 + 1/4x - 41/8

So, the required equation is y = -1/8x^2 + 1/4x - 41/8

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The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.

To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.

Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:

z = invNorm(0.95) ≈ 1.645

where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.

Next, we can use the z-score formula to convert the z-score to a weight value:

z = (x - μ) / σ

Solving for x, we get:

x = z * σ + μ

Substituting the values given in the problem, we get:

x = 1.645 * 74.8 + 825.0

x ≈ 944.0 pounds

Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.

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The missing angle is approximately 108.5 degrees.

Law of sines is a trigonometric formula that relates the sides and angles of any triangle. Specifically, the law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is the same for all sides and angles in the triangle.

Using the law of sines:

sin(128°)/15 = sin(x)/12

Multiplying both sides by 12:

sin(x) = 12sin(128°)/15

Taking the inverse sine of both sides:

x = sin^-1(12sin(128°)/15)

x ≈ 108.5°

Therefore, the missing angle is approximately 108.5 degrees.

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The values of v w x y and z​ are given below:

<EDA= <EBA= 40°

==> x= 40°

This is because the circumferential arc of the same arc is equal.

<PAE= <ADE= 40°

=>v= 40°

This is based on the alternate segment theorem.

Because EC= EB, <ECB= <EBC= 80°

=> w= 80°

This is based on the properties of an isosceles triangle.

<ECB = <EAB = 80°

=> y= 80°

This is because the circumferential angle of the same arc are equal

Because <EBC = <ECB= 80°

=> <BEC = 180° -(80 x2)

= 20°

This is because the sum of the interior angles of the triangle is 180°

<AEB = 180°-y - <ABE

= 60°.

<AEC = <AEB + <BEC= 60° + 20°

=80°.

So <ADC = <AEC = 80°

=> = 80°

This is because the circumferential angle of the same arc are equal

Therefore,

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Answer: 11.7 in.

Step-by-step explanation:

I don't really know this stuff myself since I'm in 8th grade, but I can say that AA is 12in. long. I measured the length of A'C, and it was a little shorter than AA. So therefore, I think the answer is 11.7 in. I just wanted to help you out.

The expression that shows an equivalent expression include the following:

1/4(14x - 8 + 6x) = 5x - 2.

In Mathematics, an expression is sometimes referred to as an equation and it can be defined as a mathematical equation which is typically used for illustrating the relationship that exist between two (2) or more variables and numerical quantities (number).

Based on the information provided above, we have the following mathematical expression:

1/4(14x - 8 + 6x)

By opening and expanding the bracket, we have the following mathematical expression:

1/4(14x - 8 + 6x) = 1/4(20x - 8)

1/4(20x - 8) = 5x - 2

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Answer:

Since each ticket cost $6.25, then to find the total they spent on tickets you will multiply 6.25 by itself 4 times:

6.25 * 4 = 25

They spent $25 on movie tickets.

You can subtract that from the $37 to find the total they spent on the snacks:

37 - 25 = 12

Th spent $12 in total on movie snacks. Now to find how much they cost each, yo will divide that total by the 4 friends:

12/4 = 3

The movie snacks cost $3 each.

Step-by-step explanation:

Hope it helps! =D