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Two numbers have a sum of 21 and a difference of 6. What are these two numbers?

The question is incomplete. The complete question is :

A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole. What is the height of the pole? Round to the nearest hundredth.

12.00 feet

19.60 feet

24.17 feet

38.40 feet

Solution :

Given the length of the wire = 22 feet

Horizontal distance between the pole and the point where the wire is attached = 10 feet

Therefore, from Pythagoras theorem, we get from the figure :

[tex]$AB^2=OA^2+OB^2$[/tex]

[tex]$OA^2=AB^2-OB^2$[/tex]

[tex]$OA^2=22^2-10^2$[/tex]

[tex]$OA^2=484-100$[/tex]

[tex]$OA^2=384$[/tex]

[tex]$OA=\sqrt{384}$[/tex]

      = 19.60 (approx)

Therefore, the height of the pole to the nearest hundredth is 19.60 feet.      

Answer:

B.) 19.60

Step-by-step explanation:

edge 2021

Observing the given equation, The answer is The degree of polynomial is 3 and the equation has variables 'x' and 'y'.

An equation is a mathematical statement that asserts the equality of two expressions. It typically consists of two expressions separated by an equals sign (=), for example, 2 + 2 = 4. Equations can be used to express relationships between different quantities and can be used to solve problems in many areas of mathematics and science. Equations can also be represented graphically, and they can be manipulated or transformed to make solving them easier.

A polynomial is a mathematical expression that is made up of a sum of powers in one or more variables. The degree of a polynomial is the highest power of the variable(s) present in the polynomial. For example, in the polynomial expression 3x^2 + 2x - 5, the highest power of x is 2, so the degree of the polynomial is 2. A degree 0 polynomial is a constant polynomial, which is just a number. The degree 1 polynomial is a linear equation, and degree 2 polynomial is a quadratic equation. In general, the degree of a polynomial can give an idea about the behavior of the polynomial function. As the degree of a polynomial increase, the shape of the function become more complex.

[tex]6x^3 - 8x^2 -\frac {40}{y} +21[/tex]

The degree of polynomial is 3.

The equation has variable 'x' and 'y' .

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Answer:

D

Step-by-step explanation:

Remark

The circumference of a circle is 2 * pi * r

Given

The circumference (C) = 16 * pi

Solution

2 pi r = 16 pi                                       Divide by 2*pi

r = 16 pi / (2*pi)

r = 8

Answer: 8.4. So it has to be 8 muffin and you can’t have 0.4 of a muffi realistically.

Step-by-step explanation:

Answer:

y-intercept: (0, 5)

Step-by-step explanation:

This parabola has an equation of -x² + 4x + 5.

It's y-intercept is (0, 5).

It's x-intercepts or roots are (-1, 0) and (5, 0).

It's vertex is (2, 9).

___________________________________

Keep in mind that the y-intercept is when x = 0.

It is possible for a valid argument to have a false conclusion as long as at least one premise is false.

When the premises are genuine, validity guarantees a true conclusion; when the premises are wrong, validity provides no assurance. Even in a legitimate argument, faulty premises might lead to either a true or erroneous conclusion. In many cases, it was chance rather than reasoning that led to the correct conclusion.

Avoid including: Important evidence or analysis that was not provided in the main body for a stronger conclusion paragraph.Generic closing phrases (for example, “In conclusion…”)Weak remarks that undercut your argument (for example, “There are valid points on both sides of this debate.”)

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The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To determine the angle the ladder needs to make with the house, we can use the tangent function.

First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.

Opposite side = 18 feet

Adjacent side = 25 feet

We can then use the tangent function to find the angle:

tan(angle) = opposite / adjacent

Solving for the angle, we get:

angle = arctan(18/25) = approximately 54.7 degrees

Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

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Answer:

Step-by-step explanation:

Answer: Y = 1/3x^2 - 4x + 12

Step-by-step explanation:

Hope this helps, sorry I don't have an explanation...

Answer:

Emily gets 35 marbles and Asif gets 7 marbles.

Step-by-step explanation:

let 5x and x be marbles Emily and Asif get.

5x + x = 42

or, 6x = 42

or, x= 7

5x = 5×7=35

x =7

Answer:

hi

Step-by-step explanation:

Answer:

1 - They are not proportional because the slope isn't proportional.

2 - If they were proportional they would be equivalent to each other but in this case they are not therefore, they are not proportional. (I don't really understand what Part B is asking)

Step-by-step explanation:

The product of 2p 7 3p2 4p 3 is 756p7.

Product in math is the result of multiplying two or more numbers, variables, or algebraic expressions together. It is often denoted by the symbol 'x' or by juxtaposition, such as writing "ab" instead of "a x b". The product of two numbers is the same as the result of the first number multiplied by the second. Product is a fundamental concept in mathematics and is used in many different types of equations and calculations.

This can be calculated by multiplying the terms together.

First, multiply the terms in each parenthesis.

2p 7 is 14p, 3p2 is 9p2, and 4p 3 is 12p3.

Then, multiply the three terms together, 14p x 9p2 x 12p3, which equals 756p7.

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Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.

In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).

To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.

The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).

The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).

To divide these two expressions, you can divide the numerators and the denominators separately:

(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)

= (2x^2) ÷ (3x^2-3x+2)

= (2/3)x^2 ÷ (x^2-x+2/3)

Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)

Step-by-step explanation:

Hi there!

[tex]\large\boxed{x = -12, 3}[/tex]

The roots of a function are when f(x) = 0, so:

0 = x² + 9x - 36

Find two numbers that multiply to -36 and add up to 9.

We get the numbers 12 and -3, so:

0 = (x + 12)(x - 3)

Set each equal to 0 to find the x value:

0 = x + 12

x = -12

0 = x - 3

x = 3

Answer:

b. exactly one solution

Step-by-step explanation:

-5(z+1)=-2z+10

(first, distribute the 5 into the parenthesis)

-5z-5=-2z+10

(next, move the variables to the left and constants to the right)

-5z+2z=10+5

(combine like terms)

-3z=15

(isolate to variable to find the solution)

z=-5

i hope this helps :)

Answer:

Here's an answer so you can give the other person brainliest :)

Step-by-step explanation:

Answer: 416

Step-by-step explanation:

Answer:

416

Step-by-step explanation: the tickets cost 17 each and there is a discount of $4 for a field trip so for that you do 17 minus 4 and you get 13 and then you will multiply 13 by 32 students and you get 416.

I hope this helps!!

Answer:

0.09%

20.1 is too high

Bacteria are important in the nitrogen cycle because they convert gaseous nitrogen into ammonia.

The nitrogen cycle is a biogeochemical process through which nitrogen is changed into a variety of forms before returning to the atmosphere after first entering the soil and then organisms.

Given:

The cycle's most crucial component is bacteria.

The nitrogen is changed between states by bacteria so it can be utilised.

Different bacteria assist nitrogen change states when it is absorbed by the soil so that it may be absorbed by plants.

Then, the plants provide the nitrogen for the animals.

Hence, Bacteria convert gaseous nitrogen into ammonia.

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Answer:

25/2pi

Step-by-step explanation:

stg that is right

Answer: y=3/ 4x

Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/

Answer:

y=3/4x

Step-by-step explanation:

Let's first define some words;

Proportional: If a line or a ray through the origin it proportional

Non proportional: If a line or ray that does not pass through the origin

Origin: Initial point or the starting point

Now we have define the words now let's graph these points by using Desmos.

Graphs are shown below.    

Base on the graphs below we can see that;

y=3/4x pass through the origin which means the that this linear equation is proportional.

RevyBreeze

Since 81 will be 27 percent of the total number of magazines you will find "81 is 27 percent of what number?"

81 is 27 percent of 300.

Therefore, her class hoped to sell 300 magazines in total!

The exact value is required. In this case, they don't have enough for 1 3/4 cups of flour.

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

From the information, the person had 2/3 cup of flour in a bin and 7/8 flour was still in the bag. In this case, it should be noted that they also wanted to know of they had enough for 1 3/4 cups of flour.

This will be calculated thus:

= 2/3 + 7 / 8

= 16/24 + 21/24

= 37 / 24.

= 1 13 / 24

This is not enough for 1 3/4 cups of flour.

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Answer:

The value of g(4) of the given function is 56.

Answer:

Step-by-step explanation:

The area of a rectangle can be calculated by the formula:

= Length * Width

As we have the length and the area, we can make the width the subject of the formula to solve for it:

116 = 4 * width

Width = 116/4

= 29 mm

Perimeter is:

= Length + Length + Width + Width

= 4 + 4 + 29 + 29

= 66 mm

This probability does not support the Trump/Farage claim that 60% of all immigrants are male.

What is the probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes, and how likely they are.

The probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found using the binomial probability formula, which calculates the probability of a specific number of successes (male immigrants) in a fixed number of trials (sample size) with a fixed probability of success (p = 0.60).

Using the binomial formula, the probability of obtaining 257 or fewer males in a sample of 583 immigrants can be found by summing the probabilities of obtaining 257 males, 256 males, 255 males, etc. up to 0 males.

Using a binomial calculator, we can find that the probability of obtaining 257 or fewer males in a sample of 583 immigrants is about 0.04.

This probability is quite low, which suggests that it is unlikely to obtain 257 or fewer males in a sample of 583 immigrants if the proportion of male immigrants is actually 60%.

Therefore, this probability does not support the Trump/Farage claim that 60% of all immigrants are male.

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The absolute value of a given number is said to be the positive version of that number. For example, the absolute value of -5 is + 5, which can be written as: − I5 | = 5. Other examples of absolute values ​​of numbers: |−9| = 9, |0| = 0, − |−12| = −12, etc.

Absolute Value Equation:

An absolute value function is an algebraic function whose variables lie within the absolute value bar. This function is also called the modulus function, and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number. In general, the absolute value function can be expressed as f(x) = a |x - h| + k, where a represents how much the graph stretches vertically, h represents the horizontal shift, and k represents the vertical shift of the graph for f(x) = |x|. represents If the value of 'a' is negative, the chart opens downwards, if positive, the chart opens upwards.

Now that we understand the meaning of the absolute value function, we understand the meaning of the absolute value equation f(x) = a |x - h|. + k and how the values ​​of a, h, and k affect the value of the function.

The vertex (x) = a |x - h| + k of the absolute expression f is given by (h, k). You can also use the vertices of f(x) = a |x - h| Find + k using the formula (x - h) = 0 . When determining the value of x, substitute that value into the formula to find the value of k.

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Answer:

True

Step-by-step explanation:

The sample space would be 2 possible outcomes, 1/2, 50% because it's a yes or no question

Answer: the answer is false

Step-by-step explanation: if you survey someone about whether they like books or not, you wouldnt really do it in a library! if youre in the library you like to read books, so it wouldnt really be a random sample!

(please can you give me brainliest!!!)

Answer:

13 °C

Step-by-step explanation:

You just ask yourself how you got from -6 to +7. So in other words, what plus -6 gets you 7. I know that 13-6=7. the aswer is 13°C.

hope this helps!!