A surveyor needs to determine the distance between two

points

that lie on opposite banks of a river. The figure shows

that 300 yards are measured along one bank. The angles from

are 62° and 53º. Find the distance between A and B to the

nearest tenth of a yard.

each end of this line segment to a point on the opposite bank

Answers

Answer 1

the distance between points A and B is approximately 464.6 yards to the nearest tenth.

Based on the given information and diagram, we can use the law of sines to find the length of segment AB.

First, we can find the length of segment AC:

AC = (300 yards) / sin(62°)

AC ≈ 339.9 yards

Similarly, we can find the length of segment BC:

BC = (300 yards) / sin(53°)

BC ≈ 384.9 yards

Now we can use the law of sines:

sin(A) / AB = sin(C) / BC

where A is the angle opposite segment AC and C is the angle opposite segment BC.

Solving for AB, we get:

AB = sin(A) × BC / sin(C)

To find angle A, we can use the fact that the three angles in a triangle add up to 180°:

A + 62° + 53° = 180°

A = 65°

Substituting the values we have:

AB = sin(65°) × 384.9 yards / sin(53°)

AB ≈ 464.6 yards

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Related Questions

The point (x, y) is proportional to the point (2, 5).
Select all the true statements.
A. (x,y) is a solution to y=5/2x.
B. (x, y) is a solution to y=x+3.
C. The ratio of is equivalent to 5/2:
D. Point (x,y) is the same point as (5,2).
E. A straight line through points (2, 5) and (x,y) will pass through the origin.

Answers

Answer:

did u get the answer??

Step-by-step explanation:

if so plz help

15 x 18 + 12 + 3 + 9​

Answers

the answerrrrrrrrrrrrrrrrrrrr is 294

Answer:294

Step-by-step explanation:

15x18=270+12=282+3=285+9=294

PLEASE HELP!


Priya is with her mother at the zoo’s gorilla exhibit. Priya is studying the chart displayed beside the gorilla exhibit, which shows the name and weight of each gorilla. Use the information in the chart to answer the questions in this activity.

Gorilla Weight Plugged into True or False?
5a + 8 = 318
(pounds)
Sophia 318
George 417
Nancy 310
Hank 136
Paula 62
Gavin 24

Part A
Priya’s favorite gorillas are a mother named Sophia and her baby. The zoo attendant said that Sophia weighs 8 pounds more than 5 times her baby’s weight. To determine the baby gorilla’s weight, Priya can use the equation 5a + 8 = 318, where a is the weight of the baby gorilla. Plug the weight of each gorilla into the equation to check which value makes the equation true.

Answers

Answer :

The value that makes the equation true is Paula 62

Step-by-step explanation:

Here, we want to plug the weight of each of the Gorilla to determine the weight that makes the equation true

all we have to do here is that in each of the cases, we substitute the value of a for the weight of each of the Gorilla

Sophia

a = 318

5a + 8

= 5(318) + 8

as we can see this is not equal to 318

George

For George, we substitute a for 417

That will be;

5(417) + 8

This is not 318

for Nancy

5(310) + 8

This is not equal to 318

for Hank

we have a as 136

5(136) + 8

This is not equal to 136

for Paula

5(62) + 8

= 310 + 8 = 318

we can see this is correct

for Gavin,

5(24) + 8

= 128 which is not equal to 318

The only equal value is that of Paula which is our answer

Answer:

Gorilla Weight

(pounds) Plugged into

5a + 8 = 318 True or False?

George 417  

5(417) + 8 = 318

2,093 = 318

false

Nancy 310  

5(310) + 8 = 318

1,558 = 318

false

Hank 136  

5(136) + 8 = 318

  688 = 318

false

Paula 62  

5(62) + 8 = 318

 318 = 318

true

Gavin 24  

5(24) + 8 = 318

 128 = 318

false

Step-by-step explanation:

Five friends attend a matinee movie and spend $8 per ticket. They also purchase a small bag of popcorn each. The friends spend a total of $62.50. Let x be the price of a small bag of popcorn.


Which equation represents the situation?
62.50 + 8x = 40
40 + 8x = 62.50
40 + 5x = 62.50
62.50 + 5x = 40

Answers

Answer:

40+5x=62.50

Step-by-step explanation:

8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5

40+5(2.5)=62.5

40+12.5=62.5

Answer:

62.50 + 8x = 40

Brailest plez and ill give you brainiest!

Step-by-step

On a road map, the distance from City A to City B is 4 inches. The map scale is 1 inch = 20 miles. What is the actual distance, in miles, between City A and City B? A. 5 miles B. 24 miles C. 48 miles D. 80 miles

Answers

Answer: D. 80 miles

Step-by-step explanation:

if 1 inch is 20 miles, then 4 inches is 4 x 20 = 80 miles what is real distance between City A and City B

1 inch = 20 miles4 inch = 4 x 1 inch = 4 x 20 miles = 80 miles

Answer:

D. 80 miles

Step-by-step explanation:

If the map distance between Cities A and B is 4 in, and the map scale is 1 in = 20 mi, then the actual distance between Cities A and B is:

\(\frac{4\text{ in}}{1}\times\frac{20\text{ mi}}{1\text{ in}}=\frac{80\text{ mi}}{1}=80\text{ mi}\)

In other words, every one inch on the map equates to 20 miles in actual distance. Therefore, 4 inches equates to 80 miles.

Peter had to solve a puzzle.which mathematical symbol can be placed between 5 and 9, to get a numbergreater than 5, but less than 9?

Answers

To get a number greater than 5,but less than 0, Peter can use the mathematical symbol of a decimal point (.) to solve this puzzle.

If Peter places decimal point between 5 and 9, he can get a number like 5.1, 5.2, 5.3... up to 8.9, which meets the conditions of being greater than 5 but less than 9.

A decimal point (.) is a mathematical symbol. When this decimal point is placed in between two numbers, suppose x and y, then x.y means x.y is greater than x and less than y.  

So to solve the puzzle, Peter can use decimal point.

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What is 34% of 128?
Round to the nearest
tenth.

Answers

Answer:

84.5

edit:

incorrect its 43.5 sorry

Step-by-step explanation:

34% of 128 is 84.4 rounded to the nearest tenth

Orlando wants to borrow $3,000 for the purchase of a used car. He has to pay back the loan after 4 years. The two loan options are simple interest at a rate of 5. 8% each year, or interest compounded annually at a rate of 5. 2% each year. Which method should he choose , simple or compound , and how much less will he owe using that method?

Answers

Orlando should consider using simple interest and the amount he will have to pay is $696, under the condition that he wants to borrow $3,000 for the purchase of a used car. He needs to clear the loan after 4 years.

Orlando should apply the simple interest method.

The amount of interest he will pay using simple interest is evaluated

I = P × r × t

Here

I = interest paid

P = borrowed principal amount

r =  rate of annual interest

t = time

In this case,

P = $3,000

r = 5.8%

t = 4 years

Therefore,

I = $3,000 × 0.058 × 4

= $696

So Orlando will pay $696 in interest using simple interest.

The amount of interest he will pay using compound interest is calculated as follows:

\(A = P * (1 + r/n)^{(n*t)}\)

I = A - P

Here,

A = end term amount

n = count of interest that is compounded each year

In this case,

P = $3,000

r = 5.2%

t = 4 years

Interest is compounded annually so n=1

Therefore,

A = $3,000 × (1 + 0.052/1)⁴

= $3,697.47

I = $3,697.47 - $3,000

= $697.47

So Orlando will pay $697.47 in interest using compound interest.

Therefore, Orlando should choose simple interest method and he will owe $1.47 less using that method.

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Please help!!
Solve the equation by factoring

Please help!! Solve the equation by factoring

Answers

X=2,5 is in my best option but I’m not really sure

IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!

IF YOU HELP ILL GIVE YOU BRAINLY PLEASE!!

Answers

Answer:

part a:

x lengths = 6

unit lengths = 2

part b:

6x+2

Step-by-step explanation:

You add the like terms, in this case, there are 6 x, so we have 6x, and two 1s, so 1+1= 2, and since 6x and 2 are not like terms, we can't add them, making our answer 6x+2

Answer:

Im past this subject, so this is what I remember. There are six x lengths, and I believe there are 2 NOT 8 unit lengths. For B the answer is 6x+2. Dont worry about the Brainly.

Step-by-step explanation:

determine a region whose area is equal to the given limit. do not evaluate the limit.

Answers

The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

What is a region whose area is equal to the given limit?

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

determine a region whose area is equal to the given limit. do not evaluate the limit.

A number is 2 /5 times another number. Their sum is 70. Find the numbers.

Answers

Answer:

50,20

Step-by-step explanation:

let the two numbers be x and y respectively.

According to the question,

y=2/5 times of x

Or,

y= 2x/5 ..........(1)

Again,

or, x+y=70

or, x+2x/5=70

or, (5x+2x)/5=70

or, 7x=350

therefore x=50

putting the value of y in equation (1)

y=2x/5

y= (2×50)/5

therefore, y=20

Answer:

x = 175

Step-by-step explanation:

given:

A number is 2 /5 times another number. Their sum is 70.

find: the numbers (coefficient)

solution:

cross multiply

2 ( x ) = 70

5

2 (x) = 70 (5)

2 (x) = 350

x = 350

       2

x = 175

check:

2 ( x ) = 70

5

2 ( 175 ) = 70

5

350 = 70

 5

70 = 70

What is the value of x

What is the value of x

Answers

Answer: your answer is 36.3 cause it's half of 72.6.

Step-by-step explanation:

According to a U.S. news poll, 38% of students in the class of 2013 had done an internship during their time as an undergraduate student. Dana is interested in finding out whether students at her university had an internship rate that was higher than the national average. She obtained a list of 25 randomly selected students from the population of all students at her university by requesting this information from the university’s institutional research office. She collected the responses and calculated that the proportion for her university was 43%. Which one of the following statements about the z-test is correct?
It is not safe to use the z-test for p, since the sample is not a random sample from the entire population (or cannot be considered as one).
It is not safe to use the z-test for p, since n * (1 ? po) is not large enough.
It is safe to use the z-test for p.
It is not safe to use the z-test for p, since n * po is not large enough.
A national poll by the Institute for College Access and Success showed that in 69% of college graduates from public and nonprofit colleges in 2013 had student loan debt. Dr. Blackman wanted to find out if her public nonprofit university had a lower proportion of students who graduated with student loan debt in 2013.
For this survey, the null hypothesis was that the proportion of students with graduated with student loan debt equals 69% and the alternative hypothesis is that the proportion with student loan debt does not equal 69%. The significance level for this test was 0.05.
The results of the hypothesis test of the new survey showed a p-value of 0.039.
Which of the following statements is correct? Check all that apply.
The results were statistically significant.
The results were not statistically significant.
The null hypothesis should be rejected.
The null hypothesis should be accepted.
The null hypothesis cannot be rejected.

Answers

Answer: The null hypothesis should be accepted and The results were not statistically significant

Step-by-step explanation:

Answer the question below.

Answer the question below.

Answers

Answer:

1247.03

Step-by-step explanation:

if £1=$1.35

?=$125(crisscross them to get an answer.)

$125×£1÷$1.35=£92.59

if £1=$1.35

?=$6(crisscross to get an answer.)

$6×£1÷$1.35=£4.44

so you add them all up

£1150+£4.44+£92.59= £1247.03

an integer multiplied by an integer is an integer.
a. true
b. false

Answers

The statement "An integer multiplied by an integer is an integer" is true.

An integer is a whole number that can be positive, negative, or zero. When you multiply two integers, the result is also an integer. For example, if you multiply 3 and 4, you get 12, which is an integer.

This property is one of the defining characteristics of the integers. It means that the integers form a closed set under multiplication. In other words, when you multiply any two integers, you always get another integer. This is not true for all numbers, such as fractions or decimals.

The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. It is represented by the symbol “W” and the set of numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.

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The square of a number I see equal to two less than three times the number. What are two possible values of the number? A. 1,2 B. -1,2 C. 1,-2 D. -1,-2 E. 2,3

Answers

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

\(x^2 = 3x - 2\)

Now let us solve for x;

\(x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A\)

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

Please help me ASAP , thank you

Please help me ASAP , thank you

Answers

I think it is the 4 quadrant
The answer is B. Quadrant 2

Give the basic units that are used in surveying for length, area, volume, and angles in (a) The English system of units. (b) The SI system of units.

Answers

Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Find the x - and y -intercepts of the graph of the function f(x)=−2|x+5|+2 . Enter your answers as points, (a,b). Enter the x -intercepts in order of increasing x -value. If there are no x -intercepts, enter NA in both answer areas.

Find the x - and y -intercepts of the graph of the function f(x)=2|x+5|+2 . Enter your answers as points,

Answers

The given function is

f(x) = - 2|x+5| + 2

The x intercept is the value of x when f(x) = 0

Substituting f(x) = 0 into the function, we have

0 = - 2|x+5| + 2

Subtract 2 from both sides

0 - 2 = - 2|x+5| + 2 - 2

- 2 = - 2|x+5|

Divide both sides by - 2. It becomes

- 2/- 2 = - 2|x+5|/- 2

1 = |x+5|

x + 5 = 1 or x + 5 = - 1

x = 1 - 5 or x = - 1 - 5

x = - 4 or x = - 6

x intercepts are x = - 6, x = - 4

Writing the x intercepts as points, they are

(- 6, 0) and (- 4, 0)

The y intercept is the value of f(x) when x = 0

substituting x = 0 into the function, we have

f(0) = - 2|0+5| + 2

f(0) = - 2|5| + 2 = - 2(5) + 2 = - 10 + 2

f(0) = - 8

y intercept = (0, - 8)

select all the expressions that equal.. *see picture for problem* ​

select all the expressions that equal.. *see picture for problem*

Answers

Answer:

Step-by-step explanation:

oknjbgfkdfrgn jnfbfl

help me please explain is not needed but would be appreciated

help me please explain is not needed but would be appreciated

Answers

Answer:

B = 18°

Step-by-step explanation:

To find angle B we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the side adjacent to angle B

So we have

tan B = AC / BC

tan B = 6/9

tan B = 1/3

B = tan-¹ 1/3

B = 18.43°

B = 18° to the nearest hundredth

Hope this helps you

A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. What is the probability of choosing a marble that is not blue

Answers

6 out of 9 is the answer hope o helped

a triangle is the shape used to represent the components of total health. rue or false

Answers

A triangle is a shape used to represent the components of total health. True

it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks

Answers

Answer:

52min

Step-by-step explanation:

5 people..............5 walls............52 min

1 people...............5 walls...........52 x 5=260 min

1 people................20 walls.........260 x 4 =1040 min

20 people................20 walls........1040:20=52 min

Answer:

116

Step-by-step explanation:

maybe don't try this i could be wrong.

Copper is a metal.
At room temperature copper is a strong solid.
Give two other properties of copper that show it is a metal.(pleez help ver urgent ​

Answers

Answer:

ductile

Step-by-step explanation:

Two other properties of copper that show it is a metal are malleable and ductile.

What is a metal?

A metal is a substance that exhibits a better surface when properly processed, refined, or shattered, and transports warmth and electricity rather well. Generally speaking, metals generally malleable and ductile. These characteristics are the outcome of the metallic link that exists here between metal particles or atoms.

This suggests that the metal is ductile, malleable, and a superb energy and heat transmitter. It can be cleaned to a bright gloss and is smoother than zinc.

Unlike gold and silver, it is a member of group Ib on the regular chart. The chemical stability of copper is minimal. The metal when presented at room temperature will be in the solid phase.

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cans of regular coke are labeled as containing . statistics students weighed the contents of randomly chosen cans, and found the mean weight to be ounces. assume that cans of coke are filled so that the actual amounts are normally distributed with a mean of and a standard deviation of . find the probability that a sample of cans will have a mean amount of at least .

Answers

the probability of the event that  a sample of 5 cans will have a meaningful amount of at least 12.13 oz is 0.0078

We are provided with the information that cans of coke are filled in the account of having normal distribution, with the provided means which is  12.00 oz and the standard deviation of 0.12 oz and the sample size is

n= 5.

let X be the sample mean, so the probability will be :

P(X\(\geq\) 12.13) = 1- P(X<12.13)

               =1-  P(X-(μ/(σ/\(\sqrt{n}\))) < (12.13 -12.00)/(0.12/\(\sqrt{5}\)))

            = 1- P(z<2.42)

            = 1-0.9922

           =0.0078

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Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 5 randomly chosen cans, and found the mean weight to be 12.13. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.12 oz. Find the probability that a sample of 5 cans will have a mean amount of at least 12.13 oz.

Boris spent $12 on the fruit at the grocery store. He spent a total of $80 at the store. What percentage of the total did he spend on fruit?

Answers

Answer:

15%

Step-by-step explanation:

$80 . . . 100%

$12 . . .    x%

x= 12*100/80=15

You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks. The inequality x+326 models this situation.
Solve the inequality to find the number of fruit snacks that were in the bag.
There were no fewer than []
fruit snacks in the bag.

Answers

The inequality to find the number of fruit snacks that were in the bag is

x >= 15

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given ,

You had a bag of fruit snacks that you shared with 2 friends. Each of you got no fewer than 6 fruit snacks.

Given expression , x/3  >=  5

Multiply 3 on both sides

we get,

x/3  *  3  >=  5*3

x >= 15

So the inequality holds x >= 15 .

Hence, The inequality to find the number of fruit snacks that were in the bag is x >= 15

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What is the value/expression for the side length highlighted in green.

What is the value/expression for the side length highlighted in green.

Answers

Answer:

15

Step-by-step explanation:

The parallel lines divide the transversals proportionally.

The green length = 24 - c , then

\(\frac{24-c}{20}\) = \(\frac{c}{12}\) ( cross- multiply )

12(24 - c) = 20c ← distribute left side

288 - 12c = 20c ( add 12c to both sides )

288 = 32c ( divide both sides by 32 )

9 = c

Then

green length = 24 - 9 = 15

Other Questions
What is the most common complication of implant supported fixed dental prosthesis? Which options should be included in a bring-your-own-device policy? Each correct answer represents a complete solution. Choose all that apply. A Corporate support policy per device or device category B Explicit and detailed list of permitted devices C implicit list of permitted applications D Clear delineation between it and the acceptable use policy Crop yield is the ratio of the number of bushels harvested to the number of acres used for the harvest. This year, the harvest at a farm was 94,010 bushels of grain, resulting in a crop yield of 170 bushels per acre.To the nearest whole acre, how many acres were harvested?453 acres489 acres509 acres553 acres plant and animal cells prefer a hypertonic environment since water is moving into the cell. group of answer choices true false 10. Read the passage from Too Much Information by Ben Spoer. When I looked into the mirror, I saw that they were not fine. Now they stuck out from my head like two satellite dishes, and I was receiving more signals than ever. Which of the underlined verbs is a linking verb? were looked stuck saw 100 POINTS+BRAINLIEST: How do you balance a chemical equation step by step? Please explain in simple language, give definitions to complex words and provide some rules to remember when balancing the equations. Use C3H8+O2> H2O+CO2 as an example. THANKS SO MUCH!!! PLEASE HELPPP ASAP NO LINKS AND IF YOU DON'T KNOW< DONT ANSWERIGNORE MY OTHER QUESTION, I PUT IN THE WRONG NUMBERS 1. A rectangular inflatable swimming pool is 2 4/5 yards long, 2 yards wide, and 3/5 yard tall. What is the volume of the pool? Round to the nearest tenth.A. 3.4 yd3 C. 17.0 yd3B. 5.4 yd3 D. 22.0 yd3 Write a letter to a friend in another country telling him or her about your plans after leaving Senior Secondary school. you should write more than 450words. What is the measure of 2HPL?H(12x - 15)"(8x + 33) < ALGEBRA 1>Which of the following measurements has more than one dimension?width of a televisionarea of a piece of paperdiameter of a pencilheight of a staircase how did spanish colonies in the new world supported a policy of mercantilism? A teacher gives pens and pencils to elementary students at an equal rate.Pencils Pens13 7818 A22 132B 162Determine the missing value for the letter B. 24 26 27 52 which conclusion is best supported by the data in this table? HPY: Return you receive from holding an asset over a period of time. YTM on the bond is the interest rate you earn on your investment if interest rates do not change and you hold the bond till maturity. If you actually sell the bond before it matures, your realized return is HPY. a) Suppose you buy a 5.6% annual coupon bond for $930. The bond has 10 years to maturity. What rate of return you expect to earn on your investment? b) Two years from now, the YTM on your bond has declined by 1% and you decide to sell. What price will your bond sell for? What is the HPY on your investment? Help please 1 3/5 x 2 1/3= What function does a flashback have in non-linear plot development?A.It provides a device for the author to reveal hints of what is to happen later in the story.B.It provides an explanation for why the narrator tells only part of the story in the present.C.It provides background information about the characters and events in the present.D.It provides a distraction from events described in the part of the story that takes place in the present. The War of 1812 was the first time the UnitedStates declared War on a foreign nation.True or false? I need help please :D Compare and contrast the HRM practices followed byboth private and public sector organizations and providerecommendations, if any, to improve the practices. (300-350words) what factors need to be taken into consideration when deciding whether or not to participate in a clinical trial?