If these two shapes are similar, what is the measure of the missing length u?

20 mi
25 mi
36 mi
u


u = miles
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Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

To find the area of a sector, we can use the formula:

Area = (θ/360) × π × \(r^2\)

where θ is the central angle in degrees, π is approximately 3.14, and r is the radius.

Given a central angle of 131° and a radius of 7.2 ft, we can plug in these values into the formula to find the area:

Area = (131/360) × 3.14 × (7.2\()^2\)

Calculating this expression:

Area = (0.3639) × 3.14 × (7.2\()^2\)

Area ≈ 28.879 f\(t^2\)

Rounding this to the nearest hundredth, the area of the sector is approximately 28.88 f\(t^2\).

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Answer:

a. -32 + 17 = -15

b.86 + (-27) = 59

c. -12 + (-37) = -49

d. -1/6 + 5/6 = 2/3

After examining the August bank statement and associated items, the company's accountant discovered discrepancies that affected the balance in the Cash account. The initial balance was $18,800 before the bank reconciliation was conducted.

Bank reconciliations are essential to ensure the accuracy of a company's financial records. In this case, the accountant found variances between the company's records and the bank statement. These variances could be classified into two categories: outstanding checks and deposits in transit

Outstanding checks are checks that have been issued by the company but have not yet been presented to the bank for payment. These checks reduce the company Cash account balance since they have not been deducted from it. The accountant would need to identify the outstanding checks and subtract their total amount from the initial balance.

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Answer:

y = 1/5x + 3

Step-by-step explanation:

start by finding the opposite-sign reciprocal of the slope, which is 1/5 in this case. then, find the y-intercept, which is 3 in this case because of the point it gave us.

Explanation:

The sign of the product of any odd number of negative integers is positive because when two minuses are multiplied with each other, it will result in a positive number.

For example:

Hoped this helped!

The number of years it will  take the schools to have the same enrollment is 4 years.

We are given that;

The enrollment at high school R has been increasing by 20 students per year.

Currently high school R has 200 students attending.

High school T currently has 400 students, but it’s enrollment is decreasing in size by an average of 30 students per year.

Let x be the number of years from now, and y be the enrollment of the schools. Then we have:

y=200+20x

for high school R, and

y=400−30x

for high school T. To find when the schools have the same enrollment, we set the two equations equal to each other and solve for x:

200+20x=400−30x

Adding 30x to both sides, we get:

50x=200

Dividing both sides by 50, we get:

x=4

At that time, they will both have y = 200 + 20(4) = 280 students.

Therefore, by the linear equation the answer will be 4 years.

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Answer:

the answer to the riddle is a rectangle

Step-by-step explanation:

Answer:

Your answer is A rectangle and that should help you figure out which answer is which...

Step-by-step explanation:

Height of the base = 10cm

The definition of triangular volume?

Given a candy box is in the shape of triangular prism

           Volume of the box = 1200 cm³

           Base of the triangle = 10cm

           Side of the triangle = 13cm

           Length of the box = 20 cm

            Let the height of the base = h cm

Volume of the triangular prism = 1/2×(Base of triangle)×(Height of triangle)×(length of prism)

   1200 = (1/2)×10×h×20

        1200 = 100h

      h = 1200/100

      h = 12 cm  

        So, height of the triangle = 10cm

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Answer:

True

Explanation:

Niko and Carlos are studying parallelograms and trapezoids. They agree that a parallelogram is a quadrilateral with two pairs of parallel sides. ... A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.

Answer:

Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. so no

Step-by-step explanation:

100–pound earthling's weight on Saturn using the proportion is (B)

15/4 = 100/x.

To find the 100–pound earthling's weight on Saturn using the proportion:

Therefore, 100–a pound earthling's weight on Saturn using the proportion is (B) 15/4 = 100/x.

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The correct question is given below:
A bowling ball weighs 15 pounds on earth and weighs 4 pounds on the planet Saturn. you could determine a 100–pound earthling's weight on Saturn using the proportion:

a. start fraction 15 over 4 end fraction = start fraction x over 100 end fraction

b. startfraction 15 over 4 endfraction = 100 over x endfraction

c. startfraction 4 over 15 endfraction = startfraction 100 over x endfraction

d. either a or c

Answer:= -12+4x

Step-by-step explanation:

Distribute -4 through the parentheses

8+4x=20

Calculate the difference

-12+4x

Answer:

-30

Step-by-step explanation:

3 3/5 × -8 1/3

Turn to improper fractions.

18/5 × -25/3

Multiply.

-450/15

Divide.

= -30

Answer:

D.

Step-by-step explanation:

-1 + 1 = 0

Answer:

x = 8

Step-by-step explanation:

x - 2 = 6 ( add 2 to both sides )

x = 8

Answer:

45

Step-by-step explanation:

if l=9 , w is 5

then area is 9*5=45

if l=7 , w is 7

then area is 7*7=49

49 is greater than 45

but it is not a rectangle. It is a square.

Therefore the correct answer is 45.

Answer:

original price was 64 dollars

Step-by-step explanation:

Answer:

$15.80

Step-by-step explanation:

20% of 16, or 1/5 of 16, is 3.2. So we subtract 3.2 from 16

16 - 3.2 = 15.8

So, in dollar form, it is $15.80

So the final cost of the pair of gloves is $15.80

The largest value of X that can be guaranteed is 1.

To determine the largest value of X that can be guaranteed, we need to consider the worst-case scenario where each person has a unique first initial. In this case, X would be 1 for each initial. Since there are 26 letters in the English alphabet, the largest value of X that can be guaranteed is 1 for each initial.

Therefore, we can guarantee that at least one person in the group of 100 people will share the same first initial. In other words, X = 1 is the largest value that can be guaranteed in this scenario.

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Answer:

it's the second one.

option 2

Answer:

1232342

Step-by-step explanation:

1233435

Answer:

3x+15\(\leq\)7

Step-by-step explanation:

The equation form of the given statement would be 3n + 15 ≤ 7.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

The given statement is "Fifteen more than three times a number is

at most 7"

Let the unknown number be n.

So, the equation form;

3n + 15 ≤ 7

Where n =unknown number

Hence, the equation form of the given statement would be 3n + 15 ≤ 7.

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Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%

"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)

\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)

and

\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)

Use this antiderivative to compute the following improper integral:

\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)

For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?

Evaluate the existing limit to compute the Laplace transform of  on the domain you determined in the previous part:

\(\[L\{e^t \cos(3t)\\).

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Answer:

\(\Large \boxed{2. \ x=\pm \sqrt{k}}\)

Step-by-step explanation:

\(x^2 =k\)

k is a real number.

We take the square root of both sides of the equation.

\(\sqrt{x^2 } =\pm \sqrt{k}\)

Simplifying the equation.

\(x=\pm \sqrt{k}\)

Answer:

x = ±√k

Step-by-step explanation:

If:

\(x^2 = k\)

We'll take square root on both sides

=> \(\sqrt{x^2} = +/- \sqrt{k}\)

=> x = ±√k

Based on the histogram above, we will use median to describe this variable.

Hence, option (b) is correct choice.

A histogram is a graphical depiction of data distribution in statistics. The histogram is represented by a series of neighbouring rectangles, with each bar representing a different type of data. Statistics is a branch of mathematics that is used in a variety of areas.

The frequency distribution is represented graphically by a histogram.

The histogram may be analysed as a representation of frequencies and classes as linked rectangles.

Option B is the correct answer to this question.

Because the median is unaffected by big observations, we use it as a measure of central tendency while analysing the left skewed distribution.

The required image/ histogram is attached below:

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Answer:

383.5

Step-by-step explanation:

We want to round 383.52 to the nearest tenth.

The tenth would be the 5.

To round we look at the number after the one we want to round ( so 2 )

If the number is greater than 4 so ( 5, 6, 7, 8 or 9 ) then we raise the number that we want to round but if its less than 5 ( 4, 3, 2, 1 , 0 ) we keep the number as it is.

2 is less than 5 so we keep 5 as it is to get 383.5

Answer:

It is 10%.

Show answer:

Answer:

It is either 7.62m or 10m

Step-by-step explanation:

Eduphoria

Answer:

7.62 m

Step-by-step explanation:

Pythagorean theorem, 3^2+7^2=58

√58 is 7.62

If a scatterplot of standardized, bivariate data displays data that are mostly lying in the upper left and lower right-hand quadrants, then the Pearson correlation is typically going to be negative. The above statement is false.

Bivariate data involves studying and comparing two separate variables. For example, a researcher may record how long it takes people to complete a crossword puzzle while measuring the stress levels of the participants. In this example, the two variables that the researcher is examining are time and stress.

Scatterplots display these bivariate data sets and provide a visual representation of the relationship between variables. In a scatterplot, each point represents a paired measurement of two variables for a specific subject, and each subject is represented by one point on the scatterplot.

When the points on a scatterplot graph produce a lower-left-to-upper-right pattern, we say that there is a positive correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be high as well, and vice versa.

When the points on a scatterplot graph produce a upper-left-to-lower-right pattern, we say that there is a negative correlation between the two variables. This pattern means that when the score of one observation is high, we expect the score of the other observation to be low, and vice versa.

In statistics, the Pearson correlation coefficient ― also known as Pearson's r, the Pearson product-moment correlation coefficient (PPMCC), the bivariate correlation or colloquially simply as the correlation coefficient ― is a measure of linear correlation between two sets of data. It is the ratio between the covariance of two variables and the product of their standard deviations; thus, it is essentially a normalized measurement of the covariance, such that the result always has a value between −1 and 1. As with covariance itself, the measure can only reflect a linear correlation of variables, and ignores many other types of relationships or correlations. As a simple example, one would expect the age and height of a sample of teenagers from a high school to have a Pearson correlation coefficient significantly greater than 0, but less than 1 (as 1 would represent an unrealistically perfect correlation).

The Pearson correlation method is the most common method to use for numerical variables; it assigns a value between − 1 and 1, where 0 is no correlation, 1 is total positive correlation, and − 1 is total negative correlation. This is interpreted as follows: a correlation value of 0.7 between two variables would indicate that a significant and positive relationship exists between the two. A positive correlation signifies that if variable A goes up, then B will also go up, whereas if the value of the correlation is negative, then if A increases, B decreases.

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The parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.

A matrix equation of the form  \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.

Given is to find the solution in parametric vector form.

If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :

\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)

We have a matrix where {A} is the row equivalent to that matrix -

\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)

Given matrix can be written in Augmented form as -

\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)

Row Reduced Echelon Form can be obtained using the following steps -

{ 1 } - Interchanging the rows R{1} and R{2}.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)

{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)

\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)

{ 3 } - Using R{1} -> R{1}/2

\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right]  \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)

{ 4 } - Following equation can be deducted as

\(x_1 + 3x_2 - 4x_4 =0\)

{ 5 } - We can write the parametric form as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

Therefore, the parametric form can be written as -

\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)

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