find the value of k and the other angles as well

Answer:

m=-27

Step-by-step explanation:

Answer:

11/4

Step-by-step explanation:

Answer:

224/100 = 2 24/100

= 2 6/25

308/100 = 3 8/100

= 3 2/25

125/1000 = ⅛

444/1000 = 111/250

Answer:

A)a rectangle 5 inches by 6 inches to get the results

Answer:

2

second choice

Step-by-step explanation:

x value doesn't repeat in a function

found in brainly

Answer:

Sine, Cosine and Tangent are  main functions used in Trigonometry .

They  are based on a Right-Angled Triangle.

It helps to give a name to each side of a right triangle:

"Opposite" ;  side opposite to the angle θ

"Adjacent"; side adjacent (next to) to the angle θ,

"Hypotenuse" ; the longest side

Step-by-step explanation:

Sine, Cosine and Tangent (are often shortened as sin, cos and tan)

They are used in calculation by;

\(Sin \alpha = \frac{Opposite}{Hypotenuse}\\ \\Cos \alpha = \frac{Adjacent}{Hypotenuse}\\ \\Tan \alpha = \frac{Opposite}{Adjacent}\)

To remember how to apply them , we use

SOHCAHTOA

soh

cah

toa

Answer:

\(\sqrt{29}\)

Step-by-step explanation:

\(\sqrt{(-3-2)^{2} + (4-6)^{2} } \\ -5^{2} + -2^{2} \\25 + 4 \\\sqrt{29}\)

Answer:

\(x^2+\left(y+\dfrac{1}{2}\right)^2=\dfrac{49}{4}\)

Step-by-step explanation:

The center of the circle is the midpoint of its diameter.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint between two points}\\\\Midpoint $=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Given the endpoints of the diameter are (0, 3) and (0, -4), to find the coordinates of the center of the circle, substitute the two endpoints into the midpoint formula:

\(\text{Center}=\left(\dfrac{0+0}{2},\dfrac{-4+3}{2}\right)=\left(0,-\dfrac{1}{2}\right)\)

As the x-values of the endpoints of the diameter are the same, the length of the diameter, d, is the absolute value of the difference in y-values of the endpoints:

\(d=|3-(-4)|=7\)

Therefore, the diameter of circle Q is 7 units.

The radius, r, of a circle is half its diameter. Therefore:

\(r=\dfrac{d}{2}=\dfrac{7}{2}\)

\(\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Now we have determined the center and radius of circle Q, we can substitute these values into the equation of a circle to write the equation of circle Q in standard form:

\((x-0)^2+\left(y-\left(-\dfrac{1}{2}\right)\right)^2=\left(\dfrac{7}{2}\right)^2\)

\(x^2+\left(y+\dfrac{1}{2}\right)^2=\dfrac{49}{4}\)

Therefore, the equation of circle Q in standard form is:

\(\boxed{x^2+\left(y+\dfrac{1}{2}\right)^2=\dfrac{49}{4}}\)

Answer:

1,017.876

Step-by-step explanation:

A= πr²

A=π18²

A=π324

A=1,017.876

Answer:

x = 15, ∠ B = 108°

Step-by-step explanation:

∠ A and ∠ B are alternate exterior angles and congruent, so

6x + 18 = x + 93 ( subtract x from both sides )

5x + 18 = 93 ( subtract 18 from both sides )

5x = 75 ( divide both sides by 5 )

x = 15

Then

∠ B = x + 93 = 15 + 103 = 108°

The volume of the shelter is 1108.25 cu. ft.

A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.

The volume is the space occupied by it in a three-dimensional figure.

The volume of a cuboid whose length is l,

The width is w, and

Height is h.

V = length * Width * Height

V = lwh

The length of the shed is 16.25 ft.

The width of the shed is 11 ft.

The height of the shed is 6 1/5 ft

The height of the shed is 31/5 = 6.2ft.

The volume of the shed is given by

V = 16.25 * 11 * 6.2

V = 1108.25 cu.ft

Therefore, the shed has a volume of 1108.25 cu.ft.

To know more about Cuboid

https://brainly.com/question/19754639

#SPJ1

Answer:

I think Brady is 12 and his brother is 8.

a: (20-4)/2=8 for his brother and next you do 20-8=12 for Brady's age

b: Brady is 12 years old and his brother is 8.

Step-by-step explanation:

Answer:

6/4 or 3/2

Step-by-step explanation:

Answer:

The answer should be 3/2

The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

For similar question on lowest common multiple.

https://brainly.com/question/16054958  

#SPJ8

Step-by-step explanation:

\(circumference \: = 14\pi \: cm \\ radius = ? \\ \)

The probabilities are as follows: 1. P(-1.12 < z < 1.82) ≈ 0.845 , 2. P(z < 2.65) ≈ 0.995 , 3. P(z > 0.36) ≈ 0.6406 , 4. P(-2.89 < z < -0.32) ≈ 0.4954

In order to compute the probabilities given, we need to refer to the standard normal distribution table or use appropriate statistical software. The standard normal distribution has a mean (μ) of 0 and a standard deviation (σ) of 1.

1. P(-1.12 < z < 1.82): This is the probability of the standard normal random variable, z, falling between -1.12 and 1.82. By looking up the values in the standard normal distribution table or using software, we find this probability to be approximately 0.845.

2. P(z < 2.65): This represents the probability of z being less than 2.65. By consulting the standard normal distribution table or using software, we find this probability to be approximately 0.995.

3. P(z > 0.36): This is the probability of z being greater than 0.36. Again, referring to the standard normal distribution table or using software, we find this probability to be approximately 0.6406.

4. P(-2.89 < z < -0.32): This represents the probability of z falling between -2.89 and -0.32. After consulting the standard normal distribution table or using software, we find this probability to be approximately 0.4954.

Learn more about probabilities

https://brainly.com/question/13604758

#SPJ11

Answer:

60 sq m

Step-by-step explanation:

Area of the figure

= Area of top rectangle + Are of the bottom rectangle

= 5*3 + 5*(3+3+3)

= 15 + 5*9

= 15 + 45

= 60 sq m

Answer:

60 m²

Step-by-step explanation:

Area of the figure

= Top rectangle vertical + Bottom rectangle horizontal

= 3 x 5 + 5 x 9

= 15 + 45

= 60 m²

Answer:

The quadratic has a minimum value.

The minimum value is at (3, 2).

Step-by-step explanation:

We are given the quadratic function:

\(f(x)=3x^2-18x+29\)

First, since the leading coefficient is positive, this quadratic function will be concave up.

Hence, we will have a minimum value.

The minimum or maximum value is the vertex of the quadratic. The vertex is given by:

\(\displaystyle \Big(-\frac{b}{2a},f\Big(-\frac{b}{2a}\Big)\Big)\)

In this case, a = 3, b = -18, and c = 29. Thus, the x-coordinate of the vertex is:

\(\displaystyle x=-\frac{-18}{2(3)}=\frac{18}{6}=3\)

And the minimum value is:

\(f(3)=3(3)^2-18(3)+29=2\)

Rotation is the type of rigid transformation which is equivalent of two reflections across intersecting lines.

Define rigid transformation

A rigid  transformation is a transformation that persists the original size or shape of a given figure. Examples of rigid transformations are rotation, reflection etc;  

In mathematics a rigid transformation is also known as Euclidean Isometry or Euclidean transformation. Euclidean Isometry deals mainly with transformation of any figure. But, doesn't changes the length, shape or size of a given figure.

The concept of of two reflections across intersecting lines is equivalent to single rotation transformation of the original figure.  

Therefore the rigid transformation or Euclidean  isometry which is similar to two reflections across intersecting lines is rotation.  

To know more about rigid transformation visit:

https://brainly.com/question/29001060

#SPJ4

True. In a pairwise scatter plot matrix, each scatterplot represents the relationship between two variables.

Since the scatterplot between variable X and variable Y is the same as the scatterplot between variable Y and variable X, the matrix is perfectly symmetric.

The scatterplot at the lower-left corner is indeed identical to the one at the upper-right corner. This symmetry is a result of the fact that the relationship between X and Y is the same as the relationship between Y and X.

Learn more about matrix here:

https://brainly.com/question/29132693

#SPJ11

(a) The exact value is 0.19 (or 19%) as a decimal or percentage.

No, the result from part (a) could not be the actual number of adults who said that cellular phones are "quite annoying" because a count of people must result in a whole number.

The percentage reported by the polling company (19%) represents the proportion of surveyed adults who found cellular phones "quite annoying." However, the actual number of adults with this opinion cannot be determined solely from the percentage. To obtain the actual count of adults who said cellular phones are "quite annoying," we would need to know the total number of adults surveyed.

The actual number of adults with this opinion could vary depending on the total number of adults surveyed. Without knowing the total sample size, we cannot determine the specific count. It could range from a few individuals to a significant number, depending on the population and the sampling method used by the polling company.

The percentage of respondents who said that cellular phones are "not at all annoying" is approximately 26.38% (rounded to two decimal places). This is calculated by dividing the count of respondents who found phones "not at all annoying" (267) by the total number of respondents (1013) and multiplying by 100.

Learn more about interpreting survey

brainly.com/question/14551330

#SPJ11

We are given a set of vectors S and we need to determine whether each given vector can be written as a linear combination of the vectors in S.

(a) For vector (2, -1, -2), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (2, -1, -2). By solving the system of equations, we find that k₁ = -1 and k₂ = 0, so the vector can be written as a linear combination of the vectors in S.

(b) For vector (8, -14, 27/4), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (8, -14, 27/4). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(c) For vector (1, -8, 12), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, -8, 12). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

(d) For vector (1, 1, -1), we need to check if there exist scalars k₁ and k₂ such that k₁(2, -1, 3) + k₂(5, 0, 4) = (1, 1, -1). By solving the system of equations, we find that there are no solutions, so the vector cannot be written as a linear combination of the vectors in S.

Learn more about vectors here: brainly.com/question/29740341

#SPJ11

In order to test if the supervisor's county is different from the United States average, she will perform a two tailed test.

Here we are given the following data-

number of observations in the sample n = 795

observed value x = 150

and proportion p = 0.155

We need to test whether proportion is different from 15.5 % or not.

Thus, we will do a two tailed test with hypothesis as follows -

Null hypothesis H₀ ⇒ p = 0.155

Alternate hypothesis Hₐ ⇒ p ≠ 0.155

Hence, in order to test if the supervisor's county is different from the United States average, she will perform a two tailed test.

Learn more about the t test here-

brainly.com/question/15870238

#SPJ4

The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

Learn more about this equation at

https://brainly.com/question/14275434

#SPJ1

Answer:

I need help with that too

Step-by-step explanation:

The factorization of 2xy + 3y2 - 9yz is y( 2x +3y +9z)

In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind.

For example 5y + 25z can be factored by bringing out the common factors

this means it will be 5( y + 5z).

Similarly l, factoring 2xy + 3y² - 9yz we bring out the common factor which is y.

= y( 2x +3y +9z)

Therefore, the factorization of 2xy + 3y2 - 9yz is y( 2x +3y +9z).

learn more about factorization from

https://brainly.com/question/25829061

#SPJ3

The number of days would be 10 and the maximum percent of the population infected would be 25.752%.

What are exponential functions?

The exponential function, denoted by \(e^x\), is a mathematical function. Unless otherwise specified, the term refers to a positive-valued function of a real variable, though it can be extended to complex numbers or generalized to other mathematical objects such as matrices or Lie algebras.

\(p(t) = 7te^{-\frac{t}{10}}\)

percentage of infected people a maximum when p '(t) = 0

                    \(p '(t) = 7(1)e^\frac{-1}{10} +7te^\frac{-t}{10}(\frac{-1}{10})\\\\p'(t)=e^{-\frac{t}{10}}(7 -\frac{7t}{10})\\\\e^{-\frac{t}{10}}(7 -\frac{7t}{10})=0\\\\7 -\frac{7t}{10}=0\\\\t = 10\)

Hence percentage of infected people reaches a maximum after 10 days

maximum percent of the population infected = p(10)

    \(p(10) = 7(10)e^{-\frac{10}{10}}\\\\p(10)=\frac{70}{e}\\\\P(10)=25.752\%\)

Hence, the number of days would be 10 and the maximum percent of the population infected would be 25.752%.

To learn more about exponential functions, visit:

https://brainly.com/question/2456547

#SPJ4

The time taken by an algorithm that performs two steps, the first taking f(n) time and the second taking g(n) time, is the sum of the two individual steps, which is f(n) + g(n).

When an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, the total time the algorithm takes can be found by adding f(n) and g(n).

If an algorithm performs two steps, the first taking f(n) time and the second taking g(n) time, then the total time the algorithm takes is the sum of the two individual steps, which is f(n) + g(n).

Therefore, the time taken by the algorithm would be proportional to the sum of the time complexity of the two steps involved.

Let's take a closer look at the options provided:

f(n) + g(n): This is the correct answer. As mentioned earlier, the time taken by an algorithm is proportional to the sum of the time complexity of the two steps. Therefore, the time complexity of this algorithm would be f(n) + g(n).f(n)g(n): This is not the correct answer.

Multiplying the time complexity of the two steps does not provide a meaningful measure of the total time taken by the algorithm. Therefore, this option is incorrect.

f(n²) + g(n²): This is not the correct answer.

Squaring the time complexity of the steps is not meaningful and cannot provide an accurate estimate of the total time taken by the algorithm.

Therefore, this option is incorrect.

To know more about algorithm visit:

https://brainly.com/question/30753708

#SPJ11

The cost of goods sold (COGS) is $130,000.

To determine the cost of goods sold (COGS), we can use the following formula:

COGS = Sales - Gross Profit

Gross Profit can be calculated as:

Gross Profit = Net Income + Depreciation + Interest Paid

Given the information provided:

Sales = $260,000

Depreciation = $25,000

Interest Paid = $45,000

Net Income = $60,000

Substituting these values into the formula, we have:

Gross Profit = $60,000 + $25,000 + $45,000 = $130,000

Now, we can calculate the COGS:

COGS = $260,000 - $130,000 = $130,000

Therefore, the cost of goods sold is $130,000.

Learn more about cost of goods sold: https://brainly.com/question/24561653

#SPJ11