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The height formed by this 25 foot ladder that leans against a wall is 24 feet.

Given the following data:

Pythagorean theorem can be defined as a fundamental mathematical expression in Euclidean geometry that can be used to determine any of the three (3) sides of a right-angled triangle.

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]h^2 = a^2 + b^2[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]h^2 = a^2 + b^2\\\\25^2 = 7^2 +b^2\\\\625=49+b^2\\\\b^2=625-49\\\\b=\sqrt{576}[/tex]

b = 24 feet.

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Answer:

Mucus

Step-by-step explanation:

To center the window horizontally on a wall, subtract the window's length from the wall's length and divide by two. Samantha should install the window 32.375 inches from each edge of the wall.

The student is trying to determine how far from each edge of the wall she should install the window to center it horizontally. To find this, we calculate the difference between the wall's length and the window's length and then divide that number by two. The wall is 105.25 inches long, and the window is 40.5 inches long.

To center the window horizontally, we do the following calculation:
(Length of wall - Length of window) / 2
(105.25 inches - 40.5 inches) / 2
64.75 inches / 2
= 32.375 inches.

Therefore, Samantha should install the window 32.375 inches from each edge of the wall to center it horizontally. This calculation ensures the window is positioned equally from both sides of the wall, assuming the wall is straight and the measurements are accurate.

Final answer:

The flag of Iraq has no lines of symmetry due to its horizontal stripes of different colors and the specific orientation of the Arabic Kufic script of the Takbir written in the center.

Explanation:

The question about how many lines of symmetry the flag of Iraq has can be classified as a question in the field of mathematics, particularly in the study of geometry. Symmetry in flags can pertain to reflections across certain lines where the flag is indistinguishable from its mirror image.

As of my knowledge update, the flag of Iraq consists of three horizontal stripes of red, white, and black, with the Takbir ('Allahu Akbar') written in the center in green Kufic script. As the script introduces a specific orientation and the colors do not symmetrically repeat, the flag does not have horizontal or vertical lines of symmetry. The presence of textual elements disrupts potential symmetry, considering the particular way letters must be oriented to be readable. Hence, the flag of Iraq does not have any lines of symmetry.

A sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.

In mathematics, a sector is a portion of a circle enclosed by two radii and the arc between them. The area of a sector is found by multiplying the central angle in radians by the square of the radius and dividing by 2.

For example, if we have a sector with a radius of 5 units and a central angle of π/3 radians (60 degrees), we can calculate the area as follows:

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Answer:

6 checks

Step-by-step explanation:

The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.

Binomial distributions consists of n independent Bernoulli trials.

Bernoulli trials are those trials which end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\ Var(X) = np(1-p)[/tex]

For this case, we're specified that:

The spinner has 10 parts.

Thus, the probability of getting the spinner fall on treehugger is 3/10 (three favorable parts of spinner to ten total parts, all parts assumingly equally probable and spinner assumingly not falling in the mid of two parts).

20 checks, all will be accompanied with 20 spins, all independent of each other.

Let X = total number of times the spinner falls on Treehuggers

And let Success for a spin = It landing on Treehugger

Failure for a spin = It not landing on Treehugger

n = 20, so we get:

[tex]X \sim B(n=20,p=0.3)[/tex]

The expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign = expected number of successes in those 20 spins =  the expected number of values of X.

Since X follows a binomial distribution, we get:

[tex]E(X) = np = 20 \times 0.3 = 6[/tex]

Thus, the expected number of checks out of 20 checks that should arise Over Run expect to go to their TreeHuggers Campaign is given by: Option D: 6 checks.

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Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated.

To determine how many leashes Mia needs to donate such that you would need to regroup to find the total number of items donated, we need to know the maximum capacity of the shelter's storage or the maximum number of items that can be comfortably accommodated without regrouping.

If we assume that the shelter's storage can hold a maximum of 20 items comfortably without needing to regroup, then we can calculate the number of items Max and Mia can donate without regrouping:

Max donated 16 dog collars, and the shelter can accommodate 20 items without regrouping. So, Max has donated within the capacity without needing to regroup.

Now, let's see how many leashes Mia can donate without exceeding the capacity:

20 (maximum capacity) - 16 (Max's donation) = 4

Mia can donate up to 4 leashes without requiring regrouping to find the total number of items donated. If Mia donates more than 4 leashes, you would need to regroup to calculate the total number of items donated.

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The linear equation for "a" in terms of "w" and "b" is:

a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."

To solve the equation for "a" in terms of "w" and "b," we can follow these steps:

Step 1: Start with the equation:

w = 7a + 4b

Step 2: Isolate the term with "a" on one side of the equation. To do this, subtract 4b from both sides:

w - 4b = 7a

Step 3: Divide both sides of the equation by 7 to solve for "a":

(w - 4b) / 7 = a

Step 4: Simplify the expression:

a = (w - 4b) / 7

Therefore, the linear equation for "a" in terms of "w" and "b" is:

a = (w - 4b) / 7By following these steps, we have solved the linear equations for "a" and expressed it in terms of "w" and "b."

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Final answer:

The expression that represents the sum of r and 7 is written simply as r + 7. This is a basic operation in algebra involving the addition of a variable and a constant.

Explanation:

To write an expression that represents the sum of r and 7, you simply add these two together. The mathematical expression for this is r + 7. This is a basic algebraic expression that demonstrates how to represent the addition of a variable, in this case r, with a constant number, which is 7.

Answer:in knew it but i forgot

Step-by-step explanation:

After calculating the number of games already played as a fraction of the total and adding 10 more games, it is determined that the team will have played 61 games.

The subject of this question is Mathematics, particularly it involves operations with fractions. The team has played 3/5 of the total scheduled games. So let's calculate how many games that would be by multiplying the total number of games, 85, by 3/5:

The team has already played 85 * 3/5 = 51 games.

If the team plays 10 more games, we need to add this to the number of games already played:

51 (already played games) + 10 (more games) = 61 games.

Therefore, the total number of games the team will have played after 10 more games is 61 games.

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Answer:

x

Step-by-step explanation:

-2x^2(x-5)+x(2x^2-10x)+x

Distribute-2x^2 through parentheses

-2x^3+10x^2+(2x^2-10x)+x

Distribute x through parentheses

-2x^3+10x^2+2x^3-10x^2+x

Eliminate the opposites

-2x^3+2x^3=0 and 10x^2-10x^2=0 both sets of opposites cancel each other out, which leaves us with just x remaining.

The simplest form of of the expression is x.

Answer:

x + 2 is in both the numerator and the denominator, so the correct answer is A.

Answer:

A is rational, but B is irrational.

Step-by-step explanation:

[tex] |\Omega|=7\cdot6=42\\
|A|=3\cdot2=6\\\\
P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\% [/tex]