What type of angles are labeled and what is the value of m? Show your work.

Answer:

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

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The height of the tree is approximately equal to the tangent of 768 radians multiplied by 50 meters, rounded to the nearest meter.

To find the height of the tree, we can use trigonometry. Let's assume that the height of the tree is represented by the variable "h."

In a right triangle formed by the forester, the base of the tree, and the top of the tree, the tangent of the angle is equal to the opposite side (height of the tree, h) divided by the adjacent side (distance from the base of the tree, 50 m).

Using the tangent function, we can write:

tan(angle) = \(\frac{h }{ 50}\)

We can rearrange this equation to solve for h:

h = tan(angle) * 50

Now we can substitute the given angle into the equation and calculate the height:

h = tan(768) * 50

Calculating this in degrees might result in an error because the tangent function expects the angle to be in radians.

Therefore, we need to convert the angle to radians before evaluating the tangent.

There are 180 degrees in pi radians, so we can convert the angle as follows:

angle_radians = \(\frac{768 \* \pi }{ 180}\)

Substituting this value into the equation:

h = tan(angle_radians) * 50

Now we can calculate the height using a calculator:

h ≈ \(tan(\frac{768 \pi }{ 180}) 50\)

After evaluating this expression, we get the height of the tree. Rounding the answer to the nearest meter will give us the final result.

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The answer is 1.79.

Division is breaking a number up into an equal number of parts.

Given that, 5.37 divided by 3

5.37÷3 = 1.79

Hence,  5.37 divided by 3 equals to 1.79.

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Answer:

117

Step-by-step explanation:

Square units = the area

A = l x w

A = 13 x 9

A = 117 sq units

Answer:

center (6,-4)

radius = √7 unit

Step-by-step explanation:

Mathematically, the equation of a circle can be written as follows;

(x-a)^2 + (y-b)^2 = r^2

Where (a,b) represents the center of the circle with r representing the radius of the circle.

Now looking at the values in the question, we can clearly see that a = 6, while b represents -4.

The radius of the circle is √7

So the circle center is (6,-4) while √7 is the circle center

Answer:

X&Y

Step-by-step explanation:

simple

very nice questions

Answer:

d: x equals 50 degrees and y equals 90 degrees

Step-by-step explanation:

thats the answer for the first one

Answer:

0.25

Step-by-step explanation:

Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

To find sums, I would prefer to use the method of using compatible numbers and adjusting. The reason behind this is that it can help me to perform mental calculations and solve mathematical problems faster.What are compatible numbers?Compatible numbers are numbers that are close to the actual numbers, but are easier to work with mathematically. They are rounded numbers that make it easier to perform mental math. Once we have the answer, we can adjust it to get the correct answer.To solve an addition problem using compatible numbers, we choose numbers close to the actual numbers in the problem. For example, if we are adding 45 and 32, we can round the numbers to 50 and 30. Then we add 50 and 30 to get 80, which is the compatible number sum. But this is not the actual answer because we rounded the numbers, so we need to adjust. We subtract 5 from 50 and add 3 to 30 to get 45 and 33, respectively. Then we add the adjusted numbers (45 and 33) to get the correct answer, which is 78.Using compatible numbers and adjusting them helps us to perform mental math and make calculations faster. This method also helps us to estimate answers and check if the actual answer is reasonable or not.

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If lines A, B and C shows proportional relationships, then the line A has a constant of proportionality between y and x is 5

Given the line A, B and C

The constant of proportionality is the ratio of the y coordinates to the x coordinate

k = y /x

Where k is the constant of proportionality

Consider the line A

One point on the line = (1, 5)

Constant of proportionality K = 5/1

= 5

Consider the line B

One point on the line = (3, 5)

Constant of proportionality k = 5/3

Consider the line C

One point on the line = (7, 5)

Constant of proportionality = 5/7

Therefore, the line A has the constant of proportionality of 5

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The given question is incomplete, the complete question is

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 5?

The different ways in which she can jump up a set of five steps is: 4 + 3 + 1 = 8 ways.

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Here, the differences between permutation and combination are described in detail.

The given steps are 5.

Thus, we have the following possibilities:

For 1 double step and 3 single steps:

4! / 3! = 4

For 2 double steps and 1 single step:

3! / 2! (1!) = 3

For 5 single steps: 1 way

Thus, the different ways in which she can jump up a set of five steps is:

4 + 3 + 1 = 8 ways.

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Given:

The amount of money in Joel’s account is:

\(j(x)=25+3x\)

The amount of money in Kevin’s account is:

\(k(x)=15+2x\)

To find:

The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.

Solution:

We need to find the difference between the function j(x) and function k(x).

\(j(x)-k(x)=(25+3x)-(15+2x)\)

\((j-k)(x)=25+3x-15-2x\)

\((j-k)(x)=(25-15)+(3x-2x)\)

\((j-k)(x)=10+x\)

Therefore, the correct option is D.

Answer:

option c: angle 3 and angle 5

Step-by-step explanation:

The percentage of the population that identified themselves as multiracial in the 2010 census was 2.9%.

According to data from the U.S. Census Bureau, in 2010, 9 million people (or 2.9% of the population) identified as multiracial when given the option to check more than one box for their race.

It's worth noting that the option to check more than one box for race was first introduced in the 2000 census, and the multiracial population has been growing steadily since then. In the 2000 census, 6.8 million people (or 2.4% of the population) identified as multiracial, so there was a significant increase in the number of people identifying as multiracial in the 2010 census. Additionally, the Census Bureau projects that the multiracial population will continue to grow in future censuses.

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Answer:

6.46

Step-by-step explanation:

h(t) = (1/2)\(att^{2}\) + v0t + h0

Origin is at surface of water (h = 0), up is positive.

a = -g = -9.8 m/\(s^{2}\)

v0 = 25 m/s

h0 = 50 m

h(t) = -4.9t2 + 25t + 50

Find t when

7 = \(-4.9t^{2}\) + 25t + 50

\(4.9t^{2}\) - 25t - 43 = 0

t = [1/(2*4.9)] [25 ±√(\(25^{2}\) + 4*4.9*43)]

t = (0.102)(25 ± 38.312)

t > 0 ⇒ use only the positive square root

t = (0.102)(25 + 38.312) ≅ 6.46 s

It is 7m above the water at about 6.46 s

the expectation of buying one ticket is $2

Expectation if a person buys one ticket A person is interested in buying a ticket for a lottery that offers one $1000 prize, one $500 prize, and five $100 prizes. One thousand tickets are sold at $3 each. The expected return is calculated using the following formula:

Expectation = (Probability of winning Prize 1 × Value of Prize 1) + (Probability of winning Prize 2 × Value of Prize 2) + (Probability of winning Prize 3 × Value of Prize 3)To determine the expectation, we must first determine the probability of winning each of the three prizes.

Since one thousand tickets are sold and only one person can win the first prize, the probability of winning the $1000 prize is 1/1000 or 0.001. Similarly, the probability of winning the $500 prize is 1/1000 or 0.001. Since five $100 prizes are available and only one person can win each prize, the probability of winning any one of the five $100 prizes is 5/1000 or 0.005.

Therefore, the expectation is calculated as follows: Expectation = (0.001 × $1000) + (0.001 × $500) + (0.005 × $100)Expectation = $1 + $0.50 + $0.50Expectation = $2Thus, the expectation of buying one ticket is $2. This means that the average value of a ticket is $2, and a person can expect to win $2 on average by purchasing a ticket. Since the cost of a ticket is $3, the expected return is less than the cost of the ticket, and therefore, it is not a good investment from a financial standpoint.

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The scale of dilation is the number that you multiply one side of the original triangle to get its corresponding side on the new triangle. In this case, it can be seen that AB corresponds to A'B', and so you divide A'B' by AB (6 divided by 4) to find that the scale factor is 6/4, or 3/2. If you do this with any of the other sides you will get the same answer.

Answer:

If you do this with any of the other sides you will get the same answer.

Step-by-step explanation:

6/4

A'B' by AB

6/4 or 3/2.

Scale factor

Answer: He plans to buy 28 tiles.

Step-by-step explanation:

Given: Dimensions of floor = 6-by-5 feet

Since area of rectangle = length x width

Then , area of floor = 6 x 5 square feet = 30 square feet

Dimension for vanity  2-by-2.5-feet , area of vanity = 2 x 2.5 sq. feet = 5 sq. feet

Area of floor for tiling = 30 square feet -  5 sq. feet

= 25 square feet

Area of 1 tile = 1 x 1 = 1 square  feet

Number of tiles required to cover 25 sq. feet =  25÷1=25

10 percent extra = 10% of 25+25 = 2.5+25=27.5 ≈28

Hence, he plans to buy 28 tiles.

Answer:

A. 3(x-2)+x=4x+6 has no solution.

Step-by-step explanation:

We are provided the subsequent data in the question:

We evaluate the presented expressions to find which equations have no answer.

1)  Image of solved equation is added below.

2)  Image of solved equation is added below

3)  Image of solved equation is added below

4)  Image of solved equation is added below

Equation 1 has no solution.

Answer:

I believe it's B ^^

Answer:

8

Step-by-step explanation:

y-7 when y=15

15-7=8

The equation that describing how x and y are related is y = 2x + 7

From the given table we have to choose two points

The first point = (1, 9)

The second point = (2, 11)

The slope of the line is the change in y coordinate with respect to the change in x coordinate of the line

The slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line = (11-9) / 2 - 1

= 2 / 1

= 2

From the table

At x = 0 the value of y = 7

Therefore the y intercept = 7

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Then,

y = 2x + 7

Hence, the equation that describing how x and y are related is y = 2x + 7

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On solving the provided question, we can say that from equation \(diagonal ^2 = 8^2 + 8^2\), the answer is \(DIAGONAL = 8\sqrt(2) \\\)

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

\(diagonal ^2 = 8^2 + 8^2\\diagonal ^2 = 64 + 64\\diagonal ^2 = 128\\diagonal ^2 = 64 * 2\\\)

\(diagonal ^2 = 8 * sq root (2)\\Diagonal of a square = SqrRoot (2 * side^2)\\Diagonal = \sqrt{2 * 8^2} \\Diagonal = \sqrt(128)\\\)

\(\sqrt(128) = \sqrt(2 * 64) = \sqrt(2) * 8\\DIAGONAL = 8\sqrt(2) \\\)

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Answer:

1. 27.0 m

2. 28.0 degrees

Step-by-step explanation:

1. AB

To find AB, we start by getting the measure of the third angle A

Mathematically;

A + 90 + 51 = 180

The sum of angles in a triangle is 180

A = 180-90-51

A = 39

We then proceed to use the sine rule

Mathematically, the sine rule states that the ratio of the measure of a side and the sine of the angle facing the side is same for each side of the triangle

Thus, with respect to the given triangle;

17/sin 39 = x/sin 90

x = 17sin90/sin 39

x = 27.0 m

Kindly note that we substituted x for AB

2. To find the measure of angle A we use the sine rule as used above, but here we have a missing angle and not a missing side

Thus;

34/sin 127 = 20/sin A

Sin A = (20 sin 127)/34

sin A = 0.469

A = sin^-1 0.469

A = 28.0 degrees

The relationship is not proportional because the number of used bottles increases more. Option B

A relationship is said to be proportional when the two variables that are in question are either increasing or decreasing at the same rate. It could also be that one one quantity is increasing and the other is  decreasing.

If we look at the proportionality in the proper sense of it, there appears to be no relationship between the two variables as the number of used bottles is increasing at a much higher rate than the number of bottles that is recycled.

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