please help me with these!! it will help a lot!

The perimeter of figure ABCD is determined as 55.2 units.

Congruent triangles are two triangles that have the same shape and size. In other words, they are identical in shape and size, and all their corresponding angles and sides are equal.

When two triangles are congruent, they can be superimposed on each other such that all their corresponding parts coincide.

We will use the principle of congruent triangles to find the length of the smaller triangle.

base length of the smaller triangle = 13/2 = 6.5

let the height of the smaller triangle = h

h/6.5 = (h + 8)/13

13h = 6.5(h + 8)

13h = 6.5h + 52

6.5h = 52

h = 52/6.5

h = 8

The hypothenuse side of the smaller triangle is calculated as follows;

y = √(8² + 6.5²)

y = 10.3

The hypothenuse side of the bigger triangle is calculated as follows;

Y = √((8+8)² + 6.5²)

Y = 17.3

The perimeter of ABCD is calculated as follows;

P = (17.3 x 2) + (10.3 x 2)

P = 55.2

Learn more about perimeter here:https://brainly.com/question/19819849

#SPJ1

As a result, the geometric sequence's sixth term, which has a ratio of 2/3 and a first term of 2, is 32/243.

A mathematical series known as a geometric sequence is one in which each term following the first is obtained by multiplying the previous term by a constant, non-zero quantity known as the common ratio2. To put it another way, it is a sequence in which each term (aside from the initial term) is multiplied by a fixed amount to obtain the subsequent term1.

For instance, the geometric sequence 1, 2, 4, 8, 16,... has a common ratio of 2, since each item after the first is derived by multiplying the previous term by 2.

Aₙ = a₁× r(n-1) is the formula for the nth term of a geometric series, where a1 is the first term and r is the common ratio.

The common ratio in this instance is 2/3, and the first term is 2.

As a result, the sequence's nth term is represented by the formula

a = 2 × (2/3)(n-1).

We change n = 6 in the formula to get the sixth term in the sequence.

A₆ = 2× (2/3)⁵

= 2 × (2/3)⁵ = 32/243 as a result.

As a result, the geometric sequence's sixth term, which has a ratio of 2/3 and a first term of 2, is 32/243.

To know more about geometric sequence visit:

brainly.com/question/13008517

#SPJ1

Answer:

x ≈ 39.5°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OP}{NP}[/tex] = [tex]\frac{64}{83}[/tex] , then

x = [tex]cos^{-1}[/tex] ( [tex]\frac{64}{83}[/tex] ) ≈ 39.5° ( to the nearest tenth )

the fire was burning at its highest rate at approximately 165,888,000 square inches per minute.

To find the square inches per minute that the fire was burning at its highest rate, we need to first find the total square footage of a football field, which is 360 feet x 160 feet = 57,600 square feet.

Since there are 12 inches in a foot, we can convert the square footage to square inches by multiplying by 12^2 (or 144).

57,600 square feet x 144 square inches per square foot = 8,294,400 square inches in one football field.

Next, we can find how many football fields the fire consumed in 20 hours by dividing the number of seconds in 20 hours (20 x 60 x 60 = 72,000 seconds) by 3 seconds per football field:

72,000 seconds ÷ 3 seconds per football field = 24,000 football fields consumed.

Finally, we can find the total square inches consumed by multiplying the number of football fields by the square inches in one football field:

24,000 football fields x 8,294,400 square inches per football field = 199,065,600,000 square inches consumed in 20 hours.

To find the square inches per minute, we can divide the total square inches consumed by the number of minutes in 20 hours (20 x 60 = 1,200 minutes):

199,065,600,000 square inches consumed ÷ 1,200 minutes = 165,888,000 square inches per minute.

Therefore, the fire was burning at its highest rate at approximately 165,888,000 square inches per minute.

Units: square inches per minute.

learn more about square inches per minute

https://brainly.com/question/30100954

#SPJ11

At its highest rate, the fire was burning 16,588,800,000 square inches per minute.

First, find the area of one football field in square feet.
Area = length × width
Area = 360 feet × 160 feet
Area = 57,600 square feet
Convert the area to square inches. (1 foot = 12 inches)
Area = 57,600 square feet × (12 inches/foot) × (12 inches/foot)
Area = 829,440,000 square inches
Calculate the number of football fields burned per minute.
Since one football field was burned every 3 seconds,

we can find the number of football fields burned in a minute by dividing 60 seconds by 3 seconds.
Number of football fields burned per minute = 60 seconds / 3 seconds = 20 football fields
Calculate the total area burned per minute in square inches.
Area burned per minute = 20 football fields × 829,440,000 square inches/football field
Area burned per minute = 16,588,800,000 square inches.

For similar question on area.

https://brainly.com/question/25965491

#SPJ11

Answer:

if they are similiar then a is 4.9

b is 2.8 and c is 4.1

Step-by-step explanation:

if the the shapes are similiar then match up then sides of the shape and they should have equal lengths.

hope this helps :)

Huseyin used a vertical stretch, so the quadrilateral aren't similar. So correct option is A.

A quadrilateral is a geometric shape that consists of four straight sides and four angles. It is a polygon because it is a closed shape with multiple straight sides.

There are various types of quadrilaterals, which are classified based on their properties. Some common types of quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids, and kites.

A square is a quadrilateral with four equal sides and four equal right angles. A rectangle has four right angles but opposite sides are equal. A rhombus has four equal sides, but its angles are not necessarily right angles. A parallelogram has opposite sides that are parallel and equal in length, but its angles are not necessarily right angles. A trapezoid has only one pair of opposite sides that are parallel. A kite has two pairs of adjacent sides that are equal in length.

We know that that two quadrilateral are similar if corresponding angles are congruent and measures of their corresponding sides are proportional.

In the given transformation, angles that corresponding to each other are

∠fEH and ∠JEK

∠EHG and ∠EKG

∠HGF and ∠KGJ

and ∠GFE and ∠GJE

Here all four angles of EFGH are not congruent to other four angles of EJGK.

So,

Here Huseyin used a vertical stretch, so the quadrilateral aren't similar.

To know more about angles visit:

https://brainly.com/question/10462409

#SPJ1

The complete question is:

Answer: 80% are boys and 20% are girls

Step-by-step explanation:  Take 1200 ÷ 6000 = 0.2 , to find the percentage multipy 0.2 x 100 = 20%, then subtract 20% from 100 giving you 80%. This means 80% of the members are boys.

If 2 angles are complementary, then they add up to 90 degrees. Therefore, you can find the measure of the complementary angle by subtracting 12 from 90, which is 78 degrees.

The p-value for the given hypothesis test is 0.0037 (accurate to 4 decimal places)

To find the p-value, we need to use the standard normal distribution table or a calculator. Since the alternative hypothesis is left-tailed, we are interested in finding the area under the curve to the left of the observed test statistic z.

Using a standard normal distribution calculator, we find that the area to the left of z = -2.683 is 0.0037 (rounded to 4 decimal places). This represents the p-value for the hypothesis test.

Therefore, we can conclude that there is strong evidence to reject the null hypothesis at a significance level of 0.05, since the p-value of 0.0037 is less than the chosen significance level. The evidence suggests that the accuracy rate for fingerprint identification is significantly less than 0.16.

Learn more about p-value here

brainly.com/question/30461126

#SPJ4

The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.

A statistical question is a question that can be answered by collecting and analyzing data. It is a question that involves variability, uncertainty, or randomness and cannot be answered with a single definitive answer.

Instead, it requires the use of statistical methods to analyze and summarize data to make informed decisions.

Here we have

A video game company will make a new game. The manager must choose between role-playing the game and an action game. He asks his sales staff which of the last 10 released games sold the most copies.

This is a statistical question because it involves collecting and analyzing data to make an informed decision.

The manager is seeking information from the sales staff about the last 10 released games to determine which type of game - role-playing or action - is more likely to sell well.

By analyzing the sales data, the manager can make a data-driven decision about which game to develop, rather than relying solely on intuition or personal preferences.

To answer the question, the sales staff would need to collect data on the sales figures of each of the last 10 released games, which involves using statistical methods to analyze and summarize data.v

Therefore,

The question is statistical because it requires data analysis, statistical methods, and interpretation of results to make a decision.

Learn more about Statistical questions at

https://brainly.com/question/3753147

#SPJ9

Answer:

The answer is 6

Step-by-step explanation:

y=3

-3+y²

-3+(3)²

-3+6=6

The 95% confidence interval for the proportion of students supporting the fee increase is (0.6453, 0.7013), indicating with 95% confidence where the true proportion of supporters is likely to fall based on the sample data.

Using the given information, the sample proportion of students supporting the fee increase is 1,010/1,500 = 0.6733. To find the confidence interval for the population proportion, we can use the formula:

CI = p ± z*√(p(1-p)/n)

where p is the sample proportion, z is the z-score corresponding to the level of confidence (95% in this case), and n is the sample size.

Using a standard normal distribution table or calculator, the z-score for a 95% confidence level is approximately 1.96.

Plugging in the values, we get:

CI = 0.6733 ± 1.96 * √(0.6733*(1-0.6733)/1500)

CI = 0.6733 ± 0.028

Therefore, the 95% confidence interval for the proportion of students supporting the fee increase is (0.6453, 0.7013) to the nearest thousandth.

Learn more about Confidence interval

brainly.com/question/24131141

#SPJ11

The statement C is false .

a)A larger sample size would increase the power of a significance test because it provides more information, reduces random error, and increases the precision of the estimate.

b.) The significance level is the probability of making a type I error, which is rejecting the null hypothesis when it is actually true. It is usually denoted by α and is set before conducting a hypothesis test.

c.) Expanding the sample size cannot decrease the power of a hypothesis test. Power is the probability of rejecting the null hypothesis when it is false (i.e., correctly detecting a real effect). A larger sample size generally increases the power of a test, making it more likely to detect a true effect.

d.) The probability of rejecting the null hypothesis in error is called a type I error. It occurs when the null hypothesis is actually true but is rejected based on the sample data. The probability of making a type I error is equal to the significance level (α) of the test.

Learn more about significance test

brainly.com/question/30827627

#SPJ11

Since 132 is greater than or equal to 120, the inequality is satisfied.

Let's start by defining some variables:

Let "c" be the number of computers that Ms. Sanchez sells next week.

Let "E" be her total earnings for the week.

We know that she earns $72 per week plus $15 for every computer she sells, so we can write the expression for her total earnings as:

[tex]E = 72 + 15c[/tex]

Now we need to write an inequality using "c" for the number of computers she needs to sell in order to earn at least $120 next week. That is, we want to find the value of "c" that makes her earnings at least $120:

E ≥ 120

Substituting the expression for E, we get:

[tex]72 + 15c \geq 120[/tex]

Simplifying this inequality, we can start by subtracting 72 from both sides:

[tex]15c \geq 48[/tex]

Then, we can divide both sides by 15 (keeping in mind that we need to reverse the inequality direction when dividing by a negative number):

[tex]c \geq 3.2[/tex]

Therefore, Ms. Sanchez needs to sell at least 4 computers next week (since she can't sell a fraction of a computer). We can check this by plugging in c = 4 into the expression for E:

[tex]E = 72 + 15(4) = 132[/tex]

Since 132 is greater than or equal to 120, the inequality is satisfied.

To know more about dividing visit:

https://brainly.com/question/810472

#SPJ1

1. The inverse of the function f(x) is ±√((x + 10)/2). 2. The inverse of the function f(x) is y = (x - 5)² + 3.

1. The inverse of the function f(x) is ±√((x + 10)/2). 2. The inverse of the function f(x) is y = (x - 5)² + 3.

A one-to-one function is one in which every input (x-value) and every output (y-value) have an exact corresponding relationship. Therefore, there aren't any outputs that are repeated. A one-to-one function geometrically passes the horizontal line test if no horizontal line crosses the function graph more than once.

Contrarily, a many-to-one function is one in which different inputs (x-values) result in the same output (y-value). A many-to-one function geometrically fails the horizontal line test if there is a horizontal line that crosses the function's graph more than once.

1. Replace f(x) with y in the given function:

y = 2x² - 10

Now, swap the values of x and y and isolate the value of y:

x = 2y² - 10

x + 10 = 2y²

(x + 10)/2 = y²

y = ±√((x + 10)/2)

The inverse of the function f(x) is ±√((x + 10)/2).

2. Replace f(x) with y in the given function:

y = √(x - 3) + 5

Swap the values of x and y and isolate y:

x = √(y - 3) + 5

x - 5 = √(y - 3)

(x - 5)² = y - 3

y = (x - 5)² + 3

The inverse of the function f(x) is y = (x - 5)² + 3.

Learn more about inverse function here:

https://brainly.com/question/2541698

#SPJ1

Answer: 1393 m

Step-by-step explanation: Because first you are going to subtract the fee (28) and the least charged month (97.65) that is 69.65 and then you are going to divide that number by 0.05 to get the mins that is 1393

The description of the polyomial roller coaster project is shown below

Proposal for the "Imaginary Rush" Roller Coaster:

The polynomial's graph is attached

Description of how client specifications are met:

Interpretation of the practicality of the design:

The design of Imaginary Rush is both exciting and practical. The coaster meets all the client's specifications while also providing a thrilling ride for coaster enthusiasts.

The dips and peaks of the coaster follow the behavior of the polynomial, providing a unique experience for riders.

The use of the imaginary root adds an additional level of excitement to the ride, making it stand out from other roller coasters.

Overall, the design of Imaginary Rush is both fun and practical, making it an excellent addition to any theme park.

Discussion of the polynomial's behaviors:

Read more about polynomial at

https://brainly.com/question/7693326

#SPJ1

The failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi, we get a test measure of 7. Subsequently, we would require a test of at slightest  7 pillars to attain a 95% certainty interim with a width of 3 psi...

To discover the test measure required to realize a 95% certainty interim with a width of 3 psi, we ought to utilize the equation:

n = [ (z*σ) / E ][tex]^{2}[/tex]

where:

n is the test measure

z is the z-score related to the specified level of certainty (in this case, 95% compares to a z-score of 1.96)

σ is the populace standard deviation

E is the specified edge of blunder (in this case, 3 psi)

n = [ (1.96 * 4) / 3 ][tex]^{2}[/tex]

n = [ 2.61 ][tex]^{2}[/tex]

n = 6.82

we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi.

To learn about standard deviation visit:

https://brainly.com/question/29088233

#SPJ4

Answer:

To find the initial height of the rocket, we need to determine the height of the rocket when t = 0, since that is the initial time.

Substituting t = 0 into the given equation, we get:

y = -2(0 – 2)2 + 12

y = -2(-2)2 + 12

y = -2(4) + 12

y = 8

Therefore, the initial height of the rocket is 8 meters.

Step-by-step explanation:

The volume of the pyramid is approximately 574,533.33 cubic meters.

To find the volume of a pyramid, you use the formula: V = (1/3) × base area × height, where B is the area of the base and h is the height of the pyramid.

Given that the side length of the square base is 140 m and the height is 91 m.

Since the base of the pyramid is a square with a side length of 140 m, we can find its area by multiplying the side lengths: B = 140m x 140m = 19,600 square meters.
By calculating this expression, you'll find the volume of the pyramid.

Now we can plug in the values for B and h into the formula: V = (1/3)(19,600 square meters)(91 meters) = 574,533.33 cubic meters.

To learn more about volume visit;

brainly.com/question/16788902

#SPJ11

To the nearest square inch, PQR has an area of about 1215 square inches.

We can apply the formula: to determine the area of PQR.

(1/2) * Base * Height = Area

where the height is the angle between any triangle side and the opposite vertex, and the base is any one of the triangle's sides.

The triangle's height can be determined using the angle and side lengths provided:

opposite/hypotenuse = sin(P)

Height divided by 77 is sin(57) times height, or 64.05 inches.

The formula can now be used to calculate the area:

The area is equal to (1/2) * QR * height, or 1215.19 square inches.

We obtain the result by rounding to the nearest square inch:

1215 square inches in size

Learn more about the similarity of triangles:

https://brainly.com/question/15367648

Julieta can travel 5.5 miles than Camila on one gallon of gas.

To find out how many miles more Julieta can travel than Camila on one gallon of gas, we need to compare their respective rates of miles per gallon.

According to the equation y = 38.8x, Camila can drive y miles for every x gallons of gas. Therefore, her rate of miles per gallon is:

y/x = 38.8

On the other hand, Julieta can drive 333 miles on 10 gallons of gas, so her rate of miles per gallon is:

333/10 = 33.3

To find out how many more miles per gallon Julieta can drive than Camila, we can subtract Camila's rate from Julieta's rate:

33.3 - 38.8 = -5.5

This means that Camila can drive 5.5 more miles per gallon than Julieta.

Learn more about equations on:

brainly.com/question/22688504

#SPJ1

Complete Question

Two friends, Julieta and Camila, had just bought their first cars. The equation

y = 38.8x represents the number of

miles, y, that Camila can drive her car for every a gallons of gas. Julieta uses 10 gallons of gas to drive 333 miles in her car.

Julieta can travel ____ miles than Camila on one gallon of gas

The range of 49 is the most appropriate measure of variability to use to represent the spread of donations received by the charity in this data set.

what is statistics?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It involves the study of methods for designing experiments and surveys, analyzing and interpreting data, and making decisions based on data. Statistics plays an important role in a wide range of fields, including science, social science, economics, finance, engineering, and many others. It is used to draw conclusions, make predictions, and inform decision-making by providing a quantitative and objective approach to understanding and analyzing data.

The most accurate measure of variability to use for this data set is the range of 49. The range is the difference between the highest and lowest values in the data set, which in this case is 59 - 10 = 49. The range provides a simple and straightforward measure of the spread of the data and is useful when the data is not too skewed.

While the data in this set is skewed, the range is still an appropriate measure of variability because there are no extreme outliers that would significantly affect the range. The IQR (interquartile range) is another measure of variability that is useful for skewed data, but in this case, it would not be the most appropriate choice because the data set is not divided into quartiles and the IQR would not provide additional information beyond what the range already shows.

Therefore, the range of 49 is the most appropriate measure of variability to use to represent the spread of donations received by the charity in this data set.

To learn more about statistics from the given link

https://brainly.com/question/29093686

#SPJ1

Answer: The degree of the polynomial is the highest power of the variable that occurs in the polynomial.

Step-by-step explanation:

The value of the side length PR using Trigonometric ratio is: PR = 3/√2

The primary trigonometric ratios are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

Thus:

We are given that:

∠Q = 90°

∠R = 45°

PQ = 3

Thus:

PR is calculated as:

3/PR = sin 45

PR = 3 * sin 45

PR = 3 * 1/√2

PR = 3/√2

Read more about Trigonometric Ratios at: https://brainly.com/question/13276558

#SPJ1

Answer:

y = -4.3x + 23.8

Step-by-step explanation:

To find the equation for g(x), we need to first understand what it means for g(x) to be parallel to f(x). Two lines are parallel if they have the same slope, but different y-intercepts. The slope of f(x) is -4 3/10, which can be written as -43/10 in fraction form and -4.3 in decimal form. Therefore, the slope of g(x) is also -4.3.

Now we need to use the fact that g(x) passes through the point (6, -2) to find its y-intercept. We can use the point-slope form of a linear equation to do this: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Plugging in our values, we get:

y - (-2) = (-4.3)(x - 6)

Simplify the left side

y + 2 = (-4.3)(x - 6)

Next, simplify the right side

y + 2 = -4.3x + 25.8

Subtracting 2 from both sides, we get:

y = -4.3x + 23.8

Therefore, the equation for g(x) is y = -4.3x + 23.8 in simplified slope-intercept form.

Answer:

The hour marks on a clock face are evenly spaced, 30° apart. To find the angle a line from the four o'clock mark to the twelve o'clock mark makes with a horizontal line, we need to count the number of hour marks between the two positions and multiply by 30°.

Starting from the four o'clock mark and moving clockwise to the twelve o'clock mark, we count 8 hour marks, including the one at the twelve o'clock mark. Multiplying 8 by 30°, we get:

8 x 30° = 240°

Therefore, the angle between the line from the four o'clock mark to the twelve o'clock mark and a horizontal line is 240°.

Answer:

Therefore, Kiran swam approximately 0.189z laps in the pool.

Step-by-step explanation:

Let's assume the number of laps Kiran swims to be "x".

From the given information, we know that Clare swims 95 times as many laps as Kiran. Therefore, we can write an equation:

18 = 95x

To solve for x, we can isolate it by dividing both sides of the equation by 95:

x = 18/95

x = 0.189

There are 12,620,256 different combinations of 31 balloons that can be chosen from the store's inventory of 8 colors, each with at least 31 balloons.

We can use the method of example 9.6.2, which involves using the combination formula. We know that there are 8 colors of balloons and at least 31 of each color. We have 8 options for the first balloon, 8 options for the second balloon, and so on, for a total of 8 options for each of the 31 balloons.

Using the combination formula, we can calculate the number of different combinations of 31 balloons that can be chosen as follows:

[tex]nCr = n! / (r! \times (n-r)!)[/tex]

where n is the total number of options (in this case, 8), and r is the number of items we are choosing (in this case, 31).

Plugging in these values, we get:

[tex]8C31 = 8! / (31! \times (8-31)!)[/tex]

[tex]= 8! / (31! \times (-23)!)[/tex]

= 87654321 / (313029...9(-23)(-24)(-25)...(-52))

= 12620256

Learn more about inventory here:

https://brainly.com/question/14184995

#SPJ4

Answer:

3600

Step-by-step explanation:

So you find the area of a rhombic prism by multiplying the sides together and dividing by 2, so 15*20*24 would be 7200, and that divided by 2 is equivalent to the final answer, which is 3600.