The perimeter of a triangle is 42 meters. Side (a) is two less than side (b) and side (c) is triple side (b). What are the lengths of the three sides?

Answers

Answer 1
i think i got it side A is 6.8 side B is 8.8 then side C is 26.4 hope this is right
Answer 2

The length of three sides of triangle is,

               \(a=6.8m\\\\b=8.8m\\\\c=26.4m\)

Perimeter of triangle :

Perimeter is the sum of all three sides of triangle.

Let us consider that side b of triangle is x.

Given that, Side (a) is two less than side (b) and side (c) is triple side (b).

So that, sides of triangle are,

                    \(a=x-2\\\\b=x\\\\c=3x\)

Perimeter of triangle are,

              \(x-2+x+3x=42\\\\5x=44\\\\x=44/5=8.8\)

Side \(a=8.8-2=6.8m,b=x=8.8m,c=3x=3*8.8=26.4m\)    

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Related Questions


1) Sarah orders bracelets from a catalog. The bracelets cost $4 each and the shipping charge is $3. If Sarah
has $20 to spend, how many bracelets can she buy?

Answers

she can only buy two since the bracelet and shipping is $7 together so you can buy two $14

Answer:

If the shipping is included with the 4 dollars then it would be that she can buy 5 bracelets, but if it was 4$ + 3$ then she can only buy 2

Step-by-step explanation:

Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*

Find the EXACT perimeter and EXACT area of triangle ABC (meaning radical form) BD=3 *will give brainliest*

Answers

Answer:

Perimeter = 4.5√3 + 4.5

Area = 3.375√3

Step-by-step explanation:

Well you can first see that triangle ABC is a 30°60°90° triangle.

Since angle A is 60 and it is bisected, you will have a small 30°60°90° triangle and a 120°30°30° triangle.

You can say that DA is congruent to BD by Base Angle Theorem.

DA = 3

By using the ratios of the sides of the 30°60°90° you get that CD is 1.5 and CA is 1.5√3

CD = 1.5

CA = 1.5√3

BC = 4.5

Area = (4.5 * 1.5√3) / 3 = 6.75√3 / 2

Area = 3.375√3

By using the 30°60°90° ratio again, you get that BA = 3√3

Perimeter = 1.5√3 + 3√3 + 4.5

Perimeter = 4.5√3 + 4.5

I'm not 100% sure that the answer is right so check it.

Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample A in meters? Light sample A has a frequency of 4.30×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. What is the wavelength of light sample B in meters? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively? Light sample A has a frequency of 4.30 ×1015 Hz and light sample B has a frequency of 8.70×1018 Hz. Based on frequency, which set gives the most correct description of the types of light for samples A and B respectively?

Answers

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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The Land of Nod lies in the monsoon zone, and has just two seasons, Wet and Dry. The Wet season lasts for 1/3 of the year, and the Dry season for 2/3 of the year. During the Wet season, the probability that it is raining is 3/4; during the Dry season, the probability that it is raining is 1/6. (a) I visit the capital city, Oneirabad, on a random day of the year. What is the probability that it is raining when I arrive? (b) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that my visit is during the Wet season? (c) I visit Oneirabad on a random day, and it is raining when I arrive. Given this information, what is the probability that it will be raining when I return to Oneirabad in a year's time? (You may assume that in a year's time the season will be the same as today but, given the season, whether or not it is raining is independent of today's weather.)

Answers

Answer:

Step-by-step explanation:

(a) To find the probability that it is raining when you arrive in Oneirabad on a random day, we need to use the law of total probability.

Let A be the event that it is raining, and B be the event that it is the Wet season.

P(A) = P(A|B)P(B) + P(A|B')P(B')

Given that the Wet season lasts for 1/3 of the year, we have P(B) = 1/3. The probability that it is raining during the Wet season is 3/4, so P(A|B) = 3/4.

The Dry season lasts for 2/3 of the year, so P(B') = 2/3. The probability that it is raining during the Dry season is 1/6, so P(A|B') = 1/6.

Now we can calculate the probability that it is raining when you arrive:

P(A) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it is raining when you arrive in Oneirabad on a random day is 13/36.

(b) Given that it is raining when you arrive, we can use Bayes' theorem to calculate the probability that your visit is during the Wet season.

Let C be the event that your visit is during the Wet season.

P(C|A) = (P(A|C)P(C)) / P(A)

We already know that P(A) = 13/36. The probability that it is raining during the Wet season is 3/4, so P(A|C) = 3/4. The Wet season lasts for 1/3 of the year, so P(C) = 1/3.

Now we can calculate the probability that your visit is during the Wet season:

P(C|A) = (3/4)(1/3) / (13/36)

= 1/4 / (13/36)

= 9/52

Therefore, given that it is raining when you arrive, the probability that your visit is during the Wet season is 9/52.

(c) Given that it is raining when you arrive, the probability that it will be raining when you return to Oneirabad in a year's time depends on the season. If you arrived during the Wet season, the probability of rain will be different from if you arrived during the Dry season.

Let D be the event that it is raining when you return.

If you arrived during the Wet season, the probability of rain when you return is the same as the probability of rain during the Wet season, which is 3/4.

If you arrived during the Dry season, the probability of rain when you return is the same as the probability of rain during the Dry season, which is 1/6.

Since the season you arrived in is independent of the weather when you return, we need to consider the probabilities based on the season you arrived.

Let C' be the event that your visit is during the Dry season.

P(D) = P(D|C)P(C) + P(D|C')P(C')

Since P(C) = 1/3 and P(C') = 2/3, we can calculate:

P(D) = (3/4)(1/3) + (1/6)(2/3)

= 1/4 + 1/9

= 9/36 + 4/36

= 13/36

Therefore, the probability that it will be raining when you return to Oneirabad in a year's time, given that it is raining when you arrive, is 13/36.

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Type the correct answer in each box. Write coordinate points in the form (x, y). Consider the hyperbola represented by the equation . The center of this hyperbola is . The left vertex, if the hyperbola opens horizontally, or the bottom vertex, if it opens vertically, is . The other vertex is .

Answers

Center: (-5,7)

Opens Vertically: (-5,-6)

The other vertex : (-5, 20)

The terms vertical and horizontal often refer to directions. Vertical lines run up and down, and horizontal lines run sideways. The letter 'v' pointing down tells you which direction is vertical.

Anything parallel to the horizon is called horizontal. Vertical is the opposite of horizontal, so anything that forms a 90-degree angle (right angle) with the horizontal or horizontal line is said to be vertical. Therefore, horizontal lines are lines from left to right. Place a horizontal one next to it, like a person is lying down, as opposed to a vertical one. When sleeping (unless it's a horse) the body is horizontal. Horizontal ones are parallel to the ground or pointing in the same direction as the horizon. Stacking books sideways will make them sideways.

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please help if you can thanks

please help if you can thanks

Answers

Answer:

the answer is b

Step-by-step explanation:

8 x 5 gets to 40 then 11 is how much you have

Answer:

Hi friend! The answer is B. 11/5

How can i learned maths hardly?

Answers

Learning math can be a challenging task, but with persistence, hard work, and effective study strategies, it is definitely possible to improve your math skills.

Some tips that may help you learn maths quickly and efficiently

Start with the basics: Make sure you have a good foundation in basic math concepts before moving on to more advanced topics. Practice basic arithmetic, fractions, decimals, and percentages until you feel comfortable with them.

Focus on understanding, not just memorizing: Math is not just about memorizing formulas and equations; it's about understanding how and why they work. Focus on understanding the underlying concepts and principles.

Practice regularly: The more you practice, the better you will get. Try to set aside some time each day to practice math problems. This will help you build your skills and improve your understanding.

Use multiple resources: Don't just rely on one textbook or resource. Use multiple resources such as online tutorials, videos, practice problems, and textbooks to get a well-rounded understanding of the topic.

Seek help when needed: Don't hesitate to ask for help if you are struggling with a particular topic. You can reach out to a teacher, tutor, or online community for help.

Stay motivated: Math can be challenging, but it's important to stay motivated and not give up. Keep a positive attitude, celebrate your successes, and remember that every mistake is an opportunity to learn and grow.

Remember that learning math takes time and effort, so don't get discouraged if you don't see immediate results. With persistence and hard work, you can become proficient in math.

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(my sister needs help with this) Mark and Chris had an equal number of chocolate bars. Mark ate 1/5 of his chocolate bars. Chris ate 1/4 of his chocolate bars. Who has more chocolate bars left?

Answers

Answer:

Mark!

Step-by-step explanation:

say you have 20 cookies, Mark ate on fifth so that would be 4, bringing him with 16 left

Chris ate 1/4 which would be 5, he would have 15 left

Find the value of the variable. 6x + 6 = -84 ?​

Answers

X= -15

subtract 6 from both sides
simplify : 6x = -90
then divide from both sides
-90/6 = -15
X=-15

Answer: x= -15

Step-by-step explanation:

Inside the box of every cereal box contains a surprise gift. The store manager assures employees that 22 of the 45 boxes on the shelf have a secret decoder ring and inside the other 23 boxes on the shelf contain a different gift. If two cereal boxes are randomly selected from the shelf to purchase, what is the probability that both of them have the secret decoder ring

Answers

Answer:

0.2333 = 23.33% probability that both of them have the secret decoder ring

Step-by-step explanation:

The cereals are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this question:

45 boxes, which means that \(N = 45\)

22 have the secret decoder ring, which means that \(k = 22\)

Two boxes, which means that \(n = 2\)

What is the probability that both of them have the secret decoder ring?

This is P(X = 2). So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 2) = h(2,45,2,22) = \frac{C_{22,2}*C_{23,0}}{C_{45,2}} = 0.2333\)

0.2333 = 23.33% probability that both of them have the secret decoder ring

5x + 5x² as a linear combination of x – 1 – x², −1 – x² and 1 - x. Otherwise, enter DNE in all answer blanks. (x − 1 − x²)+ (−1 − x²)+ | (1 − x). (1 point) If possible, write 7 - 7-5x + 5x² =

Answers

The expression 5x + 5x² can be written as a linear combination of (x − 1 − x²), (−1 − x²), and (1 − x). The coefficients of the linear combination are 6, -4, and -5, respectively.

A(x - 1 - x²) + B(-1 - x²) + C(1 - x) = 5x + 5x²

Expanding and simplifying the left side, we have:

(A - B + C) + (-Ax² - Bx² - Cx²) + (A - C)x

Comparing the coefficients of the like terms on both sides, we get the following system of equations:

A - B + C = 5   (coefficient of x)

-A - B - C = 0   (coefficient of x²)

A - C = 0   (coefficient of the constant term)

Solving this system of equations, we find A = C and B = -5. Plugging these values back into the equations, we get:

A - B + A = 5   =>   2A - 5 = 5   =>   A = 5/2

-A - B - A = 0   =>   -3A - 5 = 0   =>   A = -5/3

A - A = 0   =>   0 = 0

Since we obtain contradictory results for A, there is no consistent solution to the system of equations. Therefore, we cannot express 5x + 5x² as a linear combination of x - 1 - x², -1 - x², and 1 - x. Hence, the answer is DNE (Does Not Exist) in all answer blanks.

Now, let's simplify the expression 7 - 7-5x + 5x²:

7 - 7-5x + 5x² simplifies to 7 + 5x² - 7 + 5x = 5x² + 5x.

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5x-3x<22-100+200+50x
What is the value of x

Answers

Answer:

x > −61/24

Step-by-step explanation:

a ton of recycled paper will save 17 trees. if one bag weighs 2 oz, how many bags are needed to save 68 trees?

Answers

Answer:8

Step-by-step explanation:divide 136 with 17 to see how many tons needed

The answer It would be 8 ….

If both the independent and dependent variables use nominal scale properties, the most appropriate statistical test would be the?

Answers

Both the independent and dependent variables use nominal scale properties, the most appropriate statistical test would be the Chi-square test.

The Chi-square test is used to analyze the association between two categorical variables and determine if there is a significant relationship or difference between them. It compares the observed frequencies of different categories with the expected frequencies under the assumption of independence. By conducting a Chi-square test, you can assess the independence or association between the two nominal variables and determine if the observed frequencies differ significantly from what would be expected by chance.

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short response, a certain type of bacteria has been found in lengths 0.000018 meter, 7.5 x 10 the the power of -6 meter, and 2.5 x 10 to the power of -6 meter. Order these lengths from least to greatest.

short response, a certain type of bacteria has been found in lengths 0.000018 meter, 7.5 x 10 the the

Answers

Answer:

0.000018, 2.5 x 10(-6), 7.5 x 10(-6)

Step-by-step explanation:

What is the answer when you Simplify 6(x + 4).

Answers

Answer:

6x + 24

Step-by-step explanation:

Distributive property: a (b + c) = ab + ac.

6 (x + 4) = 6x + 6(4) = 6x + 24.

For g(x)= 9x-5, find g(3) and g( -5/9)(Simplify Answer)

Answers

\(g(3)=22\)

\(g(-\frac{5}{9})=-10\)

Explanation

Evaluating a function means to substitute a variable with its given number or expression and calculate

\(g(x)=9x-5\)

Step 1

when x= 3, so

replace the x place with 3

\(\begin{gathered} g(x)=9x-5 \\ g(3)=9(3)-5 \\ g(3)=27-5 \\ g(3)=22 \end{gathered}\)

hence

\(g(3)=22\)

Step 2

when

\(x=-\frac{5}{9}\)

replace

\(\begin{gathered} g(x)=9x-5 \\ g(-\frac{5}{9})=9(-\frac{5}{9})-5 \\ g(-\frac{5}{9})=-5-5 \\ g(-\frac{5}{9})=-10 \end{gathered}\)

therefore

\(g(-\frac{5}{9})=-10\)

I hope this helps you

The number of pages cameron reads varies directly with time in minutes. He can read 15 pages in 60 minutes. What is the constant of proportionality for the number of minutes to read 1 page.

Answers

The constant of proportionality is 0.25

What is Unitary Method ?

Using the unitary approach, you can solve problems by first figuring out the value of a single unit, then multiplying that value by the number of units you need.

According to the given information

Applying Unitary Method

Pages have a direct relationship with time.

N ∝ t

N = k × t

k is constant of proportionality

Time taken to read 15 pages = 60 minutes

Time taken to read 1 page = \(\frac{15}{60}\)

                                            = 1/4

1/4 is constant of proportionality

k = 0.25

The constant of proportionality is 0.25

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In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?

Answers

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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how closely does that babylonian approximation 3;41 agree with the correct value for the ratio of the area of a regular heptagon to the square of a side

Answers

The Babylonian approximation 3;41 is equal to 3.683, which is very close to the correct value of 3.637. we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side.

First, we need to convert the Babylonian approximation 3;41 into a decimal. To do this, we divide 41 by 60, which is equal to 0.683. Then, we add this decimal to the whole number 3, resulting in 3.683.

Next, we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side. To do this, we use the equation A = (7/4)s^2, where A is the area of the heptagon and s is the length of the side. We can rearrange this equation to become (A/s^2) = (7/4). This results in a value of 3.637 for the ratio.

Finally, we compare the two values. 3.683 is very close to 3.637, so the Babylonian approximation is accurate.

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we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is

Answers

The value of test statistic for test of independence is 62.5

The Chi-square test of independence checks that two variables are related or not. We have to count for two nominal variables. We also believe that the two variables are unrelated. The test allows us to determine whether or not our idea is plausible.

The sections that follow go over what we need for the test, how to perform it, understanding the results, statistical details, and p-values.

Given,

the table shows the beverage preferences for random samples of teens and adults.

For calculating the test statistics,

First wee need to calculate the expected values of every observed values.

Expected values for teens,

\(E(50)=\frac{250*400}{1000}=100\\\\E(100=)\frac{250*400}{1000}=100\\\\E(200)=\frac{400*400}{1000}=160\\\\E(50)=\frac{100*400}{1000}=40\)

Expected values for adults,

\(E(200)=250-100=150\\\\E(150)=250-100=150\\\\E(200)=400-160=240\\\\E(50)=100-40=60\)

Now, the test statistic is given by:

\(X^2=\frac{\sum\limits^n_{i=1}(O_i-E_i)^2}{E_i}\)

Where, Ei=expected value and Oi = observed value

\(X^2=\frac{(50-100)^2}{100}+\frac{(100-100)^2}{100}+...\frac{(200-240)^2}{240}+\frac{(50-60)^2}{60}=62.5\)

So, the value of test statistic for this test independence is 62.5.

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Your question is incomplete, here is the complete question

The table below gives beverage preferences for random samples of teens and adults.

                  teens adults total

coffee      50 200        250

tea              100 150        250

soft drink      200 200        400

other       50 50        100

                     400 600        1000

we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is ?

Composition about myself in 150 words​

Answers

Answer:

I am a student who’s studying in a prestigious college in Bangalore city. It’s a city where I grew up. I live in a town with my family. The school I studied till 12th is also in the town.

Things I am good at

Almost everyone is kind at least one sport. The one competition that I am good at is basketball. In my school, almost everyone had an obsession with the sport, and so did I. Every game period, my teacher would make us play basketball, along with other games. Over the years, the way I played basketball improved, and while learning the game, I discovered other lessons as well. One of the lessons I’ve learned is how to play in a team. When you play in a group, you depend on each other for winning.

I have always been energetic and lively. While many people feel awkward and weird, making me friends, I have no problems with making new friends. I can talk to everyone quickly and know them.

This is not about me took it from the web!!

Hope it helps!!!

Which angles are supplementary to each other


Which angles are supplementary to each other

Answers

Angles AEB and BEC are supplementary to each other.

A 2-column table the first column is labeled Minutes per Week of Moderate/Vigorous Physical Activity with entries 30, 90, 180, 330, 420. The second column is labeled Relative Risk of Premature Death with entries 1, .8, .73, .64, .615.

According to the data, how does a persons relative risk of premature death change in coloration to changes in physical activity?


The risk of dying prematurely increases as people become more physically active.

The risk of dying prematurely does not change in correlation to changes in physical activity.

The risk of dying prematurely declines as people become more physically active.

The risk of dying prematurely declines as people become less physically active

Answers

Answer:

its c on edge

Step-by-step explanation:

Answer:

C. The risk of dying prematurely declines as people become more physically active.

Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.

Which of the following peptide segments is most likely to be part of a stable Alpha Helix at physiological pH? Only one can be chosen.
1. gly-gly-gly-ala-gly
2. gly-arg-lys-his-gly
3. pro-leu-thr-pro-trp
4. lys-lys-ala-arg-ser
5. glu-leu-ala-lys-phe
6. glu-glu-glu-glu-glu
7. tyr-trp-phe-val-lie

Answers

The most likely peptide segment to be part of a stable alpha helix at physiological pH would be option 3: pro-leu-thr-pro-trp. So, correct option is 3.

The stability of an alpha helix is influenced by several factors, including the propensity of the amino acid residues to adopt helical conformations and the presence of stabilizing interactions such as hydrogen bonding.

Proline (Pro) is known to disrupt helical structures due to its rigid cyclic structure, which introduces a kink and prevents the proper formation of hydrogen bonds. Option 1, which contains three consecutive glycines (Gly), may also hinder helix stability due to the absence of side chains that can participate in stabilizing interactions.

On the other hand, option 3 contains proline (Pro), leucine (Leu), and threonine (Thr), which have a relatively high propensity to form helices. Additionally, the presence of tryptophan (Trp) at the C-terminal end can contribute to stabilizing hydrophobic interactions within the helix.

While options 4, 5, 6, and 7 contain charged or aromatic residues, they may not provide the same level of stability as the combination of Pro, Leu, Thr, and Trp in option 3.

So, correct option is 3.

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Find the length of the diameter if the radius is given. Find the length of the radius if the diameter is given.

Find the length of the diameter if the radius is given. Find the length of the radius if the diameter

Answers

Answer:

All you have to do is find the diameter and divide it by 2. I'm sorry if I can't give you a direct answer because I cannot see the diagram.

Step-by-step explanation:

Answer:

7=2.75

8=18

9=3.625

10=29

Step-by-step explanation:

HELP PLEASE!!!!!!!! 10 points Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).The expression above can also be written in the formaand c-For this expression

HELP PLEASE!!!!!!!! 10 points Type the correct answer in each box. Use numerals instead of words. If

Answers

The Solution.

The given number is

\(3^{\frac{6}{5}}\)

By fractional index law of indices, we have

\(3^{\frac{6}{5}}=\sqrt[c]{a^b}\)

This implies that:

\(a=3,b=6,c=5\)

Hence, the correct answer is: a = 3, b = 6, and c = 5.

Kelsey can buy 2 pounds of apples for 7 dollars

Answers

Answer:

each pound cost 3.5 dollars

Step-by-step explanation:

7/2

Answer: each pound is 3.50 dollars

Step-by-step explanation: 7.00 divided by 2 is 3.50 dollars

A. 4√29/ 7 feet
b. 4√5 feet
c.√164 feet
d. 2√41

A. 429/ 7 feetb. 45 feetc.164 feetd. 241

Answers

Answer:

These two triangles are similar triangles. This means that their side lengths are proportional to each other.

Thus, making line segment EC equal to "x", and BC equal to "y" we can write:

8/y = 28/(10+y)

The next step is to get rid of the fractions, which can be done by cross multiplying.

So we have:

8(10+y) = 28(y)

After distribution and some simplification, you should get the value of y.

80+8y = 28y

80 = 20y

80/20 = 20y/20

4 = y

y = 4

Knowing that y = BC, and y = 4, it is clear that BC = 4.

Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.

Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)

In our case, a and  b are 8 and 4 (the order doesn't really matter here).

So we have: 8^2 + 4^2 = c^2

64 + 16 = c^2

80 = c^2

c = sqrt 80

c  = 4 sqrt 5

And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.

Hope this helps!

Select the correct answer.
Which equation shows function g in factored form?

\(g(x)=2x^2-6x-56\)

A.
g(x) = 2(x2 − 3x − 28)
B.
g(x) = 2(x − 4)(x + 7)
C.
g(x) = (2x + 7)(x − 8)
D.
g(x) = 2(x + 4)(x − 7)

Answers

Answer:

The answer is A.

\(g(x) = 2( {x}^{2} - 3x - 28)\)

Answer:

Have a great rest of your day :)

Step-by-step explanation:

Select the correct answer.Which equation shows function g in factored form?[tex]g(x)=2x^2-6x-56[/tex]A.
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