Express sin A, cos A, and tan A as ratios.​

In the figure below, YE bisects ZFYD. Use the figure to answer are  mZEYF.

Figure is a page in a book, magazine, website, or other printed material that contains a graphical representation of data, such as a chart, diagram, drawing, or photograph. Figures are often used to help explain complex concepts or to present data in an easily digestible way. Figures can also be used to highlight important information or to make an argument more visually appealing.

The angle YEZ is an inscribed angle, and it bisects the central angle ZFYD. Therefore, the measure of angle YEZ is equal to one-half the measure of angle ZFYD, which is mZYEF. Thus, mZEYF = mZYEF.

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Intersect Combining these two facts, we get mZCFR + mZRFY = 2mZEYF, which simplifies to m2FYD.

Intersect is a cloud-based platform that enables users to analyze, explore, and visualize data. It provides a variety of tools for data analysis, including interactive dashboards, real-time analytics, and data exploration. Intersect also offers features such as data preparation, data visualization, and machine learning capabilities to help users better understand their data. It can be used to analyze large datasets, uncover trends, and identify correlations.

We can use the fact that when two lines intersect, the opposite angles formed are equal. Therefore, we can say that mZCFR = mZRFY.

In addition, since YE bisects ZFYD, we can say that mZFYD = 2mZEYF.

Combining these two facts, we get mZCFR + mZRFY = 2mZEYF, which simplifies to m2FYD.

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You need to find which two perfect squares is the sqrt{18} between.

sqrt{16} is a perfect square = 4

sqrt{25} is a perfect square = 5.

We conclude the sqrt{18} lies between the sqrt{16} and sqrt{25}.

Answer: The building is in the form of a cylinder surmounted by a cone. To find the outer surface area of the building, we need to find the total surface area of the cylinder and the cone and add them together.

The total surface area of the cylinder = 2πr^2 + 2πrh = 2π(7^2) + 2π(7)(24) = 2π(49) + 2π(168) = 98π + 336π = 434π square meters

The total surface area of the cone = πr^2 + πr√(r^2 + h^2) = π(7^2) + π(7)(√(7^2 + 24^2)) = 49π + 49π(√(625)) = 49π + 49π(25) = 49π + 1225π = 1274π square meters

The outer surface area of the building is the sum of the total surface area of the cylinder and the cone, which is 434π + 1274π = 1708π square meters.

Step-by-step explanation:

Pythagorean theorem is represented by triangle B.

In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:

r² = x² + y²

Where:

Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.

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Answer:

Hi how are you doing today Jasmine

answer: 8 units

Answer:

7:4 that would be the ratio

Answer:

5 and 1/2

Step-by-step explanation:

The solutions to the nearest tenth are x = -0.1 and x = 1.3

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

5x² - 2x - 1 = 4x

Evaluate the like terms

So, we have

5x² - 6x - 1 = 0

Next, we solve using a graph

The graph of 5x² - 6x - 1 = 0 is added as an attachment

From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3

This means that the solutions are x = -0.1 and x = 1.3

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Answer:

The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.

Step-by-step explanation:

To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.

5x^2-2x-1=4x

5x^2-6x-1=0

Next, we can use the quadratic formula to solve for x:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 5, b = -6, and c = -1.

Plugging these values into the formula gives:

x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)

x = (6 ± sqrt(56)) / 10

Answer: the answer would be 1/3x

Step-by-step explanation:

Composite number is the opposite of Prime numbers.

Looking at all numbers

Step-by-step explanation:

21 is the composite number because it is the multiple of 3 and 7 which is non prime number

1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

The functions (a), (b), and (c) can be differentiated as follows:

(a) The derivative of f(x) = \((x^5 - 5x^3 + 2x)^5\) is found using the chain rule and the power rule.

(b) The derivative of g(x) = \(sin(4x^4 - 2x)\) involves applying the chain rule and the derivative of the sine function.

(c) The derivative of h(x) = \((3x^2 - 1)^6 sec^2(x)\) requires applying the chain rule, the power rule, and the derivative of the secant squared function.

(a) To differentiate f(x) =\((x^5 - 5x^3 + 2x)^5\), we apply the chain rule. Let's denote the inner function as \(u = x^5 - 5x^3 + 2x.\) Then, f(x) can be rewritten as \(u^5\).

The derivative of \(u^5\) with respect to x is given by \(5u^4\) * du/dx. To find du/dx, we differentiate u term by term: du/dx = \(d/dx(x^5) - d/dx(5x^3) + d/dx(2x)\). This results in du/dx = \(5x^4 - 15x^2 + 2\). Therefore, the derivative of f(x) is \(5(x^5 - 5x^3 + 2x)^4 * (5x^4 - 15x^2 + 2)\).

(b) To differentiate g(x) = \(sin(4x^4 - 2x)\), we apply the chain rule. The derivative of sin(u), where u =\(4x^4 - 2x\), is given by cos(u) * du/dx. To find du/dx, we differentiate u term by term: du/dx = \(d/dx(4x^4) - d/dx(2x)\). This results in du/dx = \(16x^3\) - 2.

Therefore, the derivative of g(x) is \(cos(4x^4 - 2x) * (16x^3 - 2)\).

(c) To differentiate h(x) = \((3x^2 - 1)^6 sec^2(x)\), we apply the chain rule and the power rule. Let's denote the inner function as u = \(3x^2 - 1\). Then, h(x) can be rewritten as \(u^6 * sec^2(x)\).

The derivative of u^6 with respect to x is given by 6u^5 * du/dx. To find du/dx, we differentiate u term by term: du/dx = \(d/dx(3x^2) - d/dx(1)\). This results in du/dx = 6x. Therefore, the derivative of h(x) is\(6(3x^2 - 1)^5 * 6x * sec^2(x)\).

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Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Answer:

L ≤ T ≤ I ≤ M ≤ R

Step-by-step explanation:

Looking at the graph is important.  The function is increasing and concave down on the interval.

Left rule will give us the smallest approximation, and right rule will give us the largest approximation.

Trapezoidal rule will under-approximate the area, and midpoint rule will over-approximate the area.

Answer:

Box 1: 4

Box 2: -2

Step-by-step explanation:

A) f(1)=?

This is asking us what is at x=1??

So we look at the graph and x=1 y is at 4!

so therefore, f(1) = 4

Next...

now its asking the opposite what is f(x)=1

In other words what is x when y is 1??

So when looking at the graph, x is -2 when y is at 1!!

Therefore, f(-2) =1

Answer:

In decimal form, eight ninths is approximately 0.8888, so this answer is correct.

Step-by-step explanation:

To arrive at this answer, you can add the fractions by finding a common denominator:

1/3 + 7/9

= (1/3) * (3/3) + (7/9) * (3/3)

= 3/9 + 21/9

= 24/9

= (24/9) * (9/9)

= 8/9

Alternatively, you can convert the fractions to decimals and then add them:

1/3 + 7/9 = 0.3333 + 0.7777 = 1.1111

Answer:

B

..................... ....

Answer:

Look at the attached picture

Step-by-step explanation:

Yes, they are congruent by the SAS Theorem

From the figure, we see that there are two congruent pairs of corresponding sides, AC¯¯¯¯¯¯¯¯≅DF¯¯¯¯¯¯¯¯,BC¯¯¯¯¯¯¯¯≅EF¯¯¯¯¯¯¯¯, and one congruent pair of corresponding angles, ∠C≅∠F. The Side-Angle-Side Theorem (SAS) states that if two sides and the angle between those two sides of a triangle are equal to two sides and the angle between those sides of another triangle, then these two triangles are congruent.

Answer:

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

That's the answer.

Answer:

It will take 40 minutes to make and pack an order for 15 parts.

Step-by-step explanation:

The volume of this rectangular prism include the following: 84.375 cubic meters.

In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:

Volume of a rectangular prism = L × W × H

Where:

By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have the following;

Volume of rectangular prism = 5 × 4 1/2 ×  3 3/4

Volume of rectangular prism = 5 × 4.5 ×  3.75

Volume of rectangular prism = 84.375 cubic meters.

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Answer:

-19/7

Step-by-step explanation:

convert mixed number into improper fraction

20/7-5 4/7

20/7-39/7

subtract fractions

-19/7

Answer:

2

Step-by-step explanation:

the line meets the y axis at (0,2)

Answer:

you need this ?

the y is

y=-x+2

Answer:

96.25%

Step-by-step explanation:

The empirical rule regarding mean and standard deviation is that

Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find  approximately 95/2 = 47.5% of the values

Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values

Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values

my calculator says 851/12 or 70 11/12

The largest power of 10 that is a factor of 1000! is 5^249, or 10^249.

(a) To find the largest power of 10 that is a factor of 50!, we need to count the number of factors of 5 in 50! since each factor of 5 contributes at least one factor of 10.

There are 10 multiples of 5 in 50!, namely 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50. Each of these contributes one factor of 5. There are also 2 multiples of 25 (25 and 50), each of which contributes an additional factor of 5. Therefore, the total number of factors of 5 in 50! is 10 + 2 = 12.

Since each factor of 10 contains one factor of 5 and one factor of 2, we also need to count the number of factors of 2. It is clear that there are more factors of 2 than factors of 5, so we only need to count the factors of 5. Therefore, the largest power of 10 that is a factor of 50! is 5^12, or 10^12.

(b) To find the largest power of 10 that is a factor of 1000!, we follow the same reasoning as in part (a). The number of factors of 5 in 1000! is:

⌊1000/5⌋ + ⌊1000/25⌋ + ⌊1000/125⌋ + ⌊1000/625⌋ = 200 + 40 + 8 + 1 = 249

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