The triangles below are similar. Find x.

Answer:

sin of 90 is 1

Step-by-step explanation:

sin is the y axis coordinate and the coordinates of 90° on unit circle is (0,1)

Answer

x = 71°

Explanation

The sum of angles in a triuangle is 180°

So, we can sum these three angles up and equate them to 180°

x - 5° + x + x - 28° = 180°

3x - 33° = 180°

3x = 180° + 33°

3x = 213°

Divide both sides by 3

(3x/3) = (213°/3)

x = 71°

Hope this Helps!!!

The value of derivative f '(x) can be simplified to f '(x) = -20x³+4x²+8x+1.Yes the answer agrees.

To find the derivative of f(x) = (1 + 4x²)(x - x²) using the product rule, we first take the derivative of the first term, which is 8x(x-x²), and then add it to the derivative of the second term, which is (1+4x²)(1-2x). Simplifying this expression, we get f '(x) = 8x-12x³+1-2x+4x²-8x³.  

To find the derivative by multiplying first, we would have to distribute the terms and then take the derivative of each term separately, which would be a more tedious process and would not necessarily give us the same answer as using the product rule. .

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The deductible charitable contribution in this case is $33,800.

When an individual makes a charitable contribution, they may be eligible for a tax deduction on their income tax return. The deductible amount is typically based on the fair market value (FMV) of the donated property at the time of the donation.

In this scenario, the full coin that was donated had a value of $33,800 at the time of the donation. Therefore, the deductible charitable contribution would also be $33,800.

It's important to note that tax deductions for charitable contributions are subject to certain limitations and rules set by the tax authorities. These limitations can depend on factors such as the individual's income level, the type of donation, and the organization receiving the donation. Consulting with a tax professional or referring to the applicable tax regulations can provide further guidance on the specific deductibility of charitable contributions in a given situation.

In summary, based on the information provided, the deductible charitable contribution would be $33,800, which is the fair market value of the donated full coin at the time of the donation.

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Answer:

1/2

Step-by-step explanation:

When you roll a 6-sided die, there are 6 possible outcomes:

1, 2, 3, 4, 5, 6

3 of the outcomes are even, and 3 of the outcomes are odd.

p(A) = p(even) = 3/6 = 1/2

p(Ac) = 1 - p(A) = 1 - 1/2 = 1/2

Answer:

ES IGUAL A 15

Step-by-step explanation:

Answer:

Hi, don't stress this is very easy! So basically, since those segments are equal, you would have to equate them meaning inverse operations. So 3x-4=x+12

The answer would therefore, be x=8

Answer:

5 units

Step-by-step explanation:

Area swept by the floor will be the area ofd a sector

Area of a sector = theta/2π * πr²

We are to find the radius r

Given

Area=  25π/12

theta = 30° = π/6

Substitute

25π/12 = 30/360 * πr²

25π/12 = 1/12 * πr²

25/12 = r²/12

r² = 25

r = √25

r = 5

Hence the radius od the part swept by the door is 5 units

Jasmine washes 42 windows in 2 hours.

To find the number of windows Jasmine can wash in 2 hours, we need to first calculate how many windows she washes per hour.

Jasmine washes 10 1/2 windows in 1/4 hour. To convert this to windows per hour, we can multiply by 4:

10 1/2 x 4 = 42 windows per hour

So, Jasmine can wash 42 windows per hour.

To find the number of windows she can wash in 2 hours, we simply need to multiply the number of windows she can wash per hour by the number of hours she will be working:

42 windows per hour x 2 hours = 84 windows

Therefore, Jasmine can wash 84 windows in 2 .
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To multiply the given expression \( \frac{1}{4}+\frac{3}{7}-\frac{1}{2} \), we need to follow the order of operations: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

But the given expression does not contain any parentheses or exponents.

Therefore, we can perform addition and subtraction from left to right.

\(\(\frac{1}{4}+\frac{3}{7}-\frac{1}{2}\)\(=\frac{7}{28}+\frac{12}{28}-\frac{14}{28}\)\(=\frac{7+12-14}{28}\)\(=\frac{5}{28}\)\)

Hence, the multiplication of the given expression.

Therefore, the answer to the given question is: \(\( \frac{1}{4}+\frac{3}{7}-\frac{1}{2} = \frac{5}{28}\).\).

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Answer:

The answer is answer

Step-by-step explanation:

no

Answer:

8.06 feet

Step-by-step explanation:

use the Pythagorean theorem

9^2 = 4^2 + x^2

81 =16 +x^2

x^2 = 65

x = 8.06 feet

The statement that is true with the given definitions is: A ⊆ B. The symbol Z refers to integers, which include all positive and negative numbers and 0.

The set A contains all even integers in Z, while set B consists of integers in Z that are greater than -4 and less than or equal to 3. So, the elements of B are: B = {-3, -2, -1, 0, 1, 2, 3}.As all even integers are less than or equal to 3 and greater than or equal to -4, it follows that A is a subset of B (A ⊆ B).

This is because every element in set A is also an element of set B. Therefore, the statement that is true with the given definitions is: A ⊆ B.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Hint :

p → q = p' v q

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

( p' → q ) v p = ( ( p')' v q ) v p =

(p v q ) v p = ( p v p ) v q =

p v q

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

To solve problems, construct one-variable equations and inequalities.

As opposed to an inequality, which links two different values, an equation declares that two expressions are equal.

Create one-variable equations and inequalities, then utilize them to solve issues.

Include simple rational and exponential equations as well as those resulting from linear and quadratic functions.

In order to answer word problems, students should be able to decipher them and create equations and inequalities.

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Answer:

xoooxoooooo

Step-by-step explanation:

love is the answer to everythinggg

Answer:

  \(\left[\begin{array}{ccc|c}2&-1&-4&7\\-1&2&1&-1\\3&4&5&5\end{array}\right]\)

Step-by-step explanation:

You want the last two rows of the given matrix with rows 2 and 3 swapped.

The notation ...

  \(R2\leftrightarrow R3\)

means row 3 (R3) is replaced by row 2 (R2), and vice versa.

The answer to the second part of this question has you write row 3 of the original matrix on the second row of the answer matrix. Then you write row 2 of the original matrix on the 3rd row of the answer matrix.

You are simply copying the numbers to a different place. There is no math involved.

The end result is shown above.

__

Additional comment

The notation R1 +R3 ➝ R3 means that row 3 is replaced by the sum of rows 1 and 3. The first number in row 3 resulting from the answer choices would be ...

  R1 ⇄ R3: 2, the value formerly in row 1

  R2 ⇄ R3: 3, the value formerly in row 2

  R1+R3 ➝ R3: 2+(-1) = 1, the sum of values in rows 1 and 3

Since you want the largest of these, the choice R2 ⇄ R3 is the correct one.

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The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.

The equation mentioned in the question is as follows; The SI units of magnetic permeability and permittivity of free space are Henry/meter and farad/meter respectively. In order to prove that the units given by the right-hand side of the equation are m/s, we need to perform the following steps: Substitute the values of magnetic permeability and permittivity of free space in the equation. Let's substitute µ0 and ε0 values in the above equation, we get; In order to perform this step, we need to know the units of each component in the equation. A unit of force is Newton, and a unit of charge is Coulomb. A magnetic field has the unit Tesla. Let's find out the units of the right-hand side component of the above equation. We can now rearrange the equation to make it simpler.!)

The unit m/s represents the speed of light. Therefore, the units of the right-hand side of the equation prove that the speed of light is represented in the equation.

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Answer: it is D

Step-by-step explanation:

Answer:

-60.X + 32 = 32.r – 60

Because we only have one equation for 2 unknowns.

Step-by-step explanation:

All the equations have solution for r but the one that has 2 unknowns (r and X).

That is because we only have one equation and 2 unknowns.

Then, we only can express one unknown in function of the other and have an indeterminate solution.

The amount of time it takes to produce a part is an example of quantitative data. Quantitative data is numerical in nature and can include any data that can be measured or counted.  This includes amounts of time, measurements, and counts of items.

In this instance, the amount of time needed to produce a part is a measureable quantity – it is quantifiable. All measurements associated with producing a part, from the amount of time needed to completion, to the number of materials needed to complete the job, are associated with this type of data.

The ability to analyze quantitative data allows organizations to more accurately determine the amount of time necessary to produce a part, calculate the cost and labor associated with production, and identify ways to increase productivity and efficiency.

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Answer:

(11)(B) Simplify numeric and algebraic expressions using the laws of exponents, including integral ... Evaluate the expression for d = -2, d = 0, and d = 1.

Step-by-step explanation:

Answer:

5p + 14p= 19p

4 (x-2)+6x

4x-8+6x

10x-8

The unit rate of commercials per hour is 12 commercials per hour

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

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

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Answer: 12

Step-by-step explanation: The unit rate of commercials per hour is 12 commercials per hour

How to determine the unit rate of commercials per hour?

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

Time = 1 1/2 hour

Commercials = 18

The unit rate of commercials per hour is calculated as

Unit rate = Commercials/Time

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 18/(1 1/2)

Evaluate

Unit rate = 12

Hence, the unit rate is 12

Answer:

Length of new rectangle = (x + 7) inches

Width of new rectangle = (x + 4) inches

Step-by-step explanation:

A rectangle is a quadrilateral that has opposite sides to be parallel and equal. While a square has all its sides to be equal.

Given that: the square has unknown side length x inches.

Increasing one of its length by 4 inches = (x + 4) inches

Increasing the other by 7 inches = (x + 7) inches.

The new lengths results to a rectangle with length (x + 7) inches, and a width of (x + 4) inches.

the label diagram to represent the new rectangle is shown in the diagram attached to this answer.

The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.

The intersection of two sets has been the set that includes each of the elements which are shared by both sets.

The symbol for set intersection is  "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.

Now, according to the question;

Set G is the set of positive integers divisible by 4, and

Set F is the set of perfect squares;

Then,

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, by the intersection of the sets;

G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.

G ∩ F = {4; 16; 36; 64; 100}

Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.

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It will take 6 years for the enrollment at both schools to be equal.

To solve this problem, we need to set up an equation to represent the enrollment at both schools over time.

From the problem it can be deduced that

For Central Middle School:

Nichols Middle School

set these two equations equal to each other and solve for x:

800 + 75x = 890 + 60x

Simplifying the equation

15x = 90

Dividing both sides by 15, we get:

x = 6

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The socially efficient rate of output can be determined by finding the point where the marginal willingness to pay (MWTP) is equal to the marginal cost (MC). In this case, the efficient rate of output occurs at 7 units, where MWTP is equal to 8.

To show that at any other output level, the net benefits to society will be lower than they are at the efficient level, we can compare the net benefits at different output levels.

At the efficient level of 7 units, the net benefit to society is the difference between the MWTP (8) and the MC (8), which is zero.

For any other output level, the net benefits to society will be lower. Let's take the example of 6 units. The MWTP at this level is 10, while the MC is 11. Therefore, the net benefit is -1, indicating that society is worse off compared to the efficient level.

Similarly, for output levels below 6 units, the net benefits will be negative, indicating a loss to society. And for output levels above 7 units, the net benefits will be positive, but decreasing, indicating diminishing returns.

In conclusion, the socially efficient rate of output is 7 units, where net benefits are maximized. Deviating from this level results in lower net benefits to society, indicating a loss of efficiency.

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

1. 3/4

2. -3/2

Step-by-step explanation: