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The length of the other leg of a right triangle, as per the Pythagoras theorem, is option B: 13.0 cm.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse. The calculation of the other leg of tbe triangle is given as follows.

According to the Pythagoras theorem:

(Hypotenuse)² = (Base)² + (Height)²

As per the question,

The height or the length of a leg of a right triangle is given equal to 11 cm and hypotenuse is given 17 cm. The other leg, or the base can be calculated as:

(Base)² = (Hypotenuse)² - (height)²

b² = (17)² - (11)²

b² = 289 - 121

b² = 168

b = √168

b = 12.96

or b = 13cm.

Thus, the base or the other leg of the right triangle is equal to 13 cm.

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Answer:

The number expected to be cheese are 42 Pizzas

Step-by-step explanation:

According to the information provided, the total choices of Pizza at a local pizza shop are as follows:

Pizza                Choice

Peperoni             11

Supreme              7

Cheese                6

Hawaiano            3

Total                    27

The total pizza sold were 189, out of which the number expected to be cheese will be calculated by dividing the total number of choices and multiplying it with the required type of pizza chosen. This is done as follows:

189 / 27 * 6 = 42 Cheese Pizza

(a) correctly describes the relationship between a parameter and a statistic.

The correct description is:

a) A statistic is calculated from sample data and is generally used to estimate a parameter.

In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.

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The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

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g(f(x)) = -10x - 18, which can be written as [-10]x + [-18].

How to find and what is an equation?

To find g(f(x)), we first need to find f(x) and then substitute it into g(x).

f(x) = 5x + 7

Substituting f(x) into g(x):

g(f(x)) = g(5x + 7) = -2(5x + 7) - 4

= -10x - 14 - 4

= -10x - 18

Therefore, g(f(x)) = -10x - 18, which can be written as [-10]x + [-18].

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions, separated by an equal sign. The expressions on either side of the equal sign may contain variables, constants, and mathematical operations.

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In the past year, 16 salespeople have sold between 45 and 65 cars.

Given that the accompanying relative frequency distribution represents the last year car sales for the sales force at Kelly's Mega Used Car Center, and we need to determine how many of these salespeople have sold at least 45 but fewer than 65 cars in the last year.

As per the given distribution, Car Sales Relative Frequency3 5 up to 450.0745 up to 550.1555 up to 650.3165 up to 750.2275 up to 850.25

The relative frequency of cars sold between 45 and 65 is: Relative Frequency of cars sold between 45 and 65 = 0.31 - 0.15 = 0.16

Since there are 100 salespeople at Kelly's Mega Used Car Center, the number of salespeople who have sold at least 45 but fewer than 65 cars in the last year is: Number of salespeople who have sold at least 45 but fewer than 65 cars in the last year = 0.16 x 100= 16 cars

Therefore, the number of salespeople who have sold at least 45 but fewer than 65 cars in the last year is 16.

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Answer:

12 feet

Step-by-step explanation:

Use the Pythagorean Theorem to find how high up the tree the top of the ladder reaches.

13 feet - hypotenuse

5 feet - can be a or b

a² + b² = c²

5² + b² = 13²

25 + b² = 169

b² = 144

b = √144

b = 12

The top of the ladder reaches 12 feet up the tree.

Hope that helps.

Answer:

12 ft

Step-by-step explanation:

These circumstances describe a triangle with hypotenuse 13 ft and bottom side 5 ft.  The vertical side (height above ground to top of ladder) is to be found.  According to the Pythagorean Theorem,

5^2 + (vertical side)^2 = 13 ft = 169, and so

(vertical side) = sqrt( 169 - 25 ) = 144 (ft)

The top of the ladder is s 12 ft above the ground.

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

0,3, and 6.

Explanation:

The second derivative of the function f is given below:

To find the x-coordinate of the point of inflection, set the second derivative of the function equal to zero and solve for x.

The x-coordinates of the point of inflection are 0,3, and 6.

The estimated probability that the candidate obtains a score greater than or equal to 10 is 0.7234, rounded to four decimal places, so the answer is (A).

The number of correct answers that the candidate gets is a binomial random variable with parameters n = 40 (number of trials) and p = 1/5 (probability of success). We want to find the probability that the candidate gets a score greater than or equal to 10, which is equivalent to getting 10 or more questions correct.

Using the normal approximation to the binomial distribution with continuity correction, we can approximate the distribution of the number of correct answers by a normal distribution with mean μ = np = 40 * 1/5 = 8 and variance σ^2 = np(1-p) = 40 * 1/5 * 4/5 = 6.4.

To find the probability that the candidate gets 10 or more questions correct, we can standardize the normal distribution and use the standard normal distribution table or R to find the probability.

Let X be the number of correct answers. Then, we have:

P(X >= 10) = P((X - μ) / σ >= (10 - μ) / σ)

= P(Z >= (10 - 8) / sqrt(6.4)), where Z is a standard normal random variable.

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The cost of one day-Lilly is found to be $4 and the cost of one geranium is found to be $8. Therefore, Paul spent about $16 for day-Lilly and $56 for geranium. And Megan spent about $40 for day-Lilly and $88 for geranium.

Two or more algebraic equations that have a common variable and are solved simultaneously are referred to as simultaneous equations. We can find the answers to both unknowns if we have two separate equations with the same two unknowns in each. Here, we'll employ the addition-and-subtraction or elimination method.

Let's consider the cost of day-Lilly as x and the cost of geranium as y. The cost spent by Paul is written as 4x+7y=$72 and Megan is written as 10x+11y=$128.

Solving these two equations for x and  y,

\(\begin{aligned}40x+70y = \$720\\\underline{40x+44y=\$512}\\26y=\$208\\y=\$8 \end{aligned}\)

Substitute the value of y in equation 4x+7y=$72 to get the value of x,

\(\begin{aligned}4x+7(8)&=\$72\\4x&=\$16\\x&=\$4\end{aligned}\)

The answers are $4 and $8.

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Answer:

The additive inverse of a real number is the opposite of that number on the real number line. For example, the opposite of −3 is 3. A number and its additive inverse have a sum of 0. The sum of any number and its opposite is equal to zero.

Answer: 12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

The greatest common factor of 60 and 72 is 12.  Thus divide both numbers(60 and 72) by 12 to get 5 and 6.  Thus, Miss Smith made 12 packages with 5 notebooks and 6 pencils in each package.

Answer:

12 packages with 5 notebooks and 6 pencils in each package.

Step-by-step explanation:

Answer:

y-0.22%=x+0.06%

Step-by-step explanation:

Answer:

B :)

Step-by-step explanation:

Answer:

5850

Step-by-step explanation:

is the question complete? if so this is the answer pls check if the question has more details

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

22 Australian dollars are 16.12 USD

To write a for loop that displays the numbers 0, 10, 20, 30, 40, 50...1000, use the following code:

```python
for i in range(0, 1001, 10):
   print(i)
```

1. Start by creating a for loop using the `for` keyword.
2. Use the variable `i` as an iterator.
3. Utilize the `range()` function to generate a sequence of numbers.
4. Set the starting value of the range to 0, the end value to 1001 (since the end value is exclusive, it won't be included in the loop), and the step value to 10.
5. Inside the for loop, use the `print()` function to display the value of `i` for each iteration.
6. The for loop will iterate from 0 to 1000 (inclusive) with a step of 10, displaying the required sequence of numbers.

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AABC was dilated by a scale factor of 2. Option A

In mathematics, dilation refers to a transformation that rescales an object, without changing its shape or orientation, by multiplying the coordinates of its points by a certain factor. This factor is called the dilation factor or scale factor.

A dilation can be either a reduction, if the scale factor is between 0 and 1, or an enlargement, if the scale factor is greater than 1. A dilation with a scale factor of 1 does not change the size of the object.

The first triangle has ED = 4 boxes

The second triangle has BA = 2

4 / 2 = 2

Scale factor would be 2

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(i) The remainder is -12.

(ii) Concluded that x - 3 is a factor of p(x).

(iii) It can be express p(x) as (x - 3)(x² - x + 1).

c) The equation x(x - 2)² = 3 has only one real root, which is x = 3.

(i) To find the remainder when p(x) = x³ - 4x² + 4x - 3 is divided by x + 1, we can use synthetic division, which is shown in the attached image.

Here, the remainder is -12.

(ii) According to the Factor Theorem, if (x - a) is a factor of a polynomial p(x), then p(a) = 0.

Substitute x = 3 into p(x) to verify if x - 3 is a factor:

p(3) = 3³ - 4(3)² + 4(3) - 3

= 27 - 36 + 12 - 3

= 0

Since p(3) = 0, we can conclude that x - 3 is a factor of p(x).

(iii) Using the factor we found in part (ii), we can divide p(x) by (x - 3) using long division or synthetic division:

We obtain a quotient of x² - x + 1 and no remainder.

Therefore, we can express p(x) as (x - 3)(x² - x + 1).

(c) Now let's consider the original equation x(x - 2)² = 3.

We know that x = 3 is a root of p(x) = x³ - 4x² + 4x - 3, which means it satisfies the equation p(x) = 0.

Hence, x = 3 is a solution to the equation x(x - 2)² = 3.

Since (x - 3) is a factor of p(x) and the quadratic factor (x² - x + 1) does not have any real roots, the equation x(x - 2)² = 3 has only one real root, which is x = 3.

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Step-by-step explanation:

12 + 16 ÷ 4 × 5 - 8

12 + 4 × 5 - 8

12 + 20 - 8

32 - 8

24

Answer: 24

Step-by-step explanation:

Given expression

12 + 16 ÷ 4 · 5 - 8

Simplify by division

=12 + 4 · 5 - 8

Simplify by multiplication

=12 + 20 - 8

Simplify by addition

=32 - 8

Simplify by subtraction

=\(\boxed{24}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer: wait how much was her allowance

Step-by-step explanation:

Answer:

42+56+7.5h ≤ 300

≤ means less than or equal to and Julie does not want to go over 300 so this would be the correct symbol to use

Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

The speed of the water wave is 2.0 meters per second.

The speed of a wave is calculated by dividing the distance traveled by the time it takes to travel that distance. In this case, the distance traveled by the water wave is 10.0 meters, and the time taken is 5.0 seconds.

To determine the speed, we use the formula:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 10.0 meters / 5.0 seconds = 2.0 meters per second

Therefore, from the given information, we can determine that the speed of the water wave is 2.0 meters per second.

This information about the speed of the water wave is useful for various purposes. It allows us to understand how quickly the wave is propagating through the medium. It also helps in analyzing wave behavior, such as interference, reflection, or refraction, and studying the characteristics of the medium through which the wave is traveling. Additionally, the speed of the wave can be used in calculations involving wave frequencies, wavelengths, and periods.

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Answer:

6746734

Step-by-step explanation:

first fo 45 minus 45 get 0 add then 56 plus 34

Answer:

1200

Step-by-step explanation:

1000(1+.05x4)

5%=.05

convert the months into years

Answer:

64

Step-by-step explanation:

7*3 ( with p = 7 and q = 3 )

= 5(3) + 7²

= 15 + 49

= 64