If construction costs are $160,000 per kilometer, find the cost of building the new road in the figure
shown to the right
new road
10,000 m
24,000 m
The cost of building the new road is s
(Round to the nearest dollar as needed)

If Construction Costs Are $160,000 Per Kilometer, Find The Cost Of Building The New Road In The Figureshown

Answers

Answer 1

Answer:

$4,160,000

Step-by-step explanation:

First, find the length of the new road in km using Pythagorean Theorem.

According to Pythagorean Theorem:

c² = a² + b²,

Where, c is the longest leg, which is the hypotenuse, a and b are the 2 other legs of the ∆.

Since we are calculating the lenght in km, convert each lenght of the two legs of the ∆ into km.

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

c² = 24² + 10²

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Lenght of the new road = 26 km

If cost of construction is $160,000 per kilometer, therefore, cost of constructing 26 km road = 160,000*26 = $4,160,000

Answer 2

The cost of  building the new road is $4,160,000.

Calculation of the cost of building:

here we determine the length by using the Pythagorean Theorem.

So,

[tex]c^2 = a^2 + b^2[/tex]

Here

c is the longest leg

And, a and b are the 2 other legs of the ∆.

Now

1 km = 1,000 m

10,000 m = 10 km

24,000 m = 24 km

So,

[tex]c^2 = 24^2 + 10^2[/tex]

c² = 576 + 100

c² = 676

c = √676

c = 26 km

Now the cost should be

= 160,000(26)

= $4,160,000

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Related Questions

A rectangular table is two times as long as it is wide. If the area is 50 ft2, find the length and the width of the table.

Answers

Answer:

length = 10ft

breadth = 5ft

Step-by-step explanation:

Given,

Let breadth be x.

According to the question,

length = 2x

Area = 50ft^2

we know that,

Area of rectangle ( A) = l × b

or, x × 2x = 50 ft^2

or, 2x^2 = 50ft^2

or, x^2 = 50ft^2/2

or, x^2 = 25ft^2

or, x = 5 ft

Now,

2x = 2×5ft =10ft

Therefore, length is 10ft and breadth is 5ft.

If h(x) = 6 - X, what is the value of (nºn)(10)?

Answers

Answer:

(h°h)(10) = 10

Step-by-step explanation:

(h°h) = 6-(6-x) = x

h(10) = x

x = 10

What is 128,073 to the nearest thousand

Answers

128,000 I believe is the answer

Write five hundred twenty-five thousandths as a decimal number

Please help

Answers

Answer:

.525

Step-by-step explanation:

Five hundred twenty-five thousandths is a decimal number will be 0.525.

What is a decimal number?

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

A number is a numerical unit of measurement and labeling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples.

The given number is five hundred twenty-five thousandths. The decimal form of the given number will be written as:-

Five hundred twenty-five thousandths = 0.525

Therefore, five hundred twenty-five thousandths is a decimal number that will be 0.525.

To know more about decimal numbers follow

https://brainly.com/question/364301

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R is between Q and S.
If RS = 33.5 and RQ = 80, find SQ. Please help !

Answers

Answer:

The correct answer is 113.5

Step-by-step explanation:

33.5+80

What is the probability of spinning a 2 on the
spinner?

Answers

Answer:

a 1/8 chance (one out of eight, one eighth, whatever)

Step-by-step explanation:

It’s a 1/8 chance (1 out of 8) if yhu didn’t know.

Felisha has 34 nickels 26 dimes 21 quarters and 13 fifty cent prices. How much money does she have?

Answers

10.80 is the answer to your question

. What is the total number of digits
printed, if a book containing 150
pages is to be numbered from 1 to
150?​

Answers

Solution :-

Total number of pages in the book = 150

Total number of one digit numbers = From 1 to 9

= 1*9  

 

9 digits  

Total number of two digit numbers = From 10 to 99

= 2*90

= 180 digits

Total number of three digit numbers = From 100 to 150

= 3*51

= 153 digits

Total number of digits printed in the book containing 150 pages  

= Total number of one digit numbers + Total number of two digit numbers +

Total number of two digit numbers

= 9 + 180 + 153

= 342 Digits

Hence, total 342 digits are printed in the book which has 150 pages.

When using Newton's Method to find the root of a linear function f(x) = ax + b, a 70, how many iterations of the method are required to find the root at r = R?1 4 2 There is no fixed number. It depends on the intial guess xo.

Answers

Answer:

It depends on the initial guess Xo

Step-by-step explanation:

The number of iterations required to find the root at r = R  depends on the initial guess Xo, this is because when using Newton's method for finding roots, you will need to pick an initial guess and this will be followed by an iterative process which would converge to a solution. The number of roots before the converging will take place depends on the initial guess Xo made

What is -20.3-14.34?

Answers

Answer:

-34.64

Step-by-step explanation:

-20.3-14.34

-34.64

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Answers

Before multiplying two fractions together, always try to cross-cancel.

So in this problem, the 13 and 39 cross-cancel to 1 and 3.

So we have 1/15 × 11/3 which is 11/45.

Remember, multiply across the numerators and denominators.

write the product of a number and 21 as an algebraic expression

Answers

Answer:

21n=

n-number and since its a number (n) and 21 you would put 21n

Answer:

[tex]\boxed {\tt 21n}[/tex]

Step-by-step explanation:

We want to write the product of a number and 21 as an algebraic expression.  Let's define "a number" as the variable n.

We know that "product" means multiplication. The product of a number, n, and 21 is equal to multiplying n and 21.

[tex]n*21[/tex]

21 and n can be flipped due to the commutative property of multiplication.

[tex]21*n[/tex]

[tex]21n[/tex]

The product of a number and 21 is 21n.

The sample mean is an example of ____.
(A) interval estimation
(B) point estimation
(C) confidence point
(D) confidence

Answers

Answer:

B) point estimation

Step-by-step explanation:

Sample mean is an example of point estimation. It is a point estimation of the population mean.

A point estimate of a population parameter is defined as one value of a statistic. The sample mean is regarded as the best point estimate of the population mean


dihsjsksiusjsueuuehehebdbbsjsshshshhs

Answers

is this a real question?

Dianna made several loaves of bread yesterday. Each loaf required 23 cups of flour. All together, she used 13.
flour. How many loaves did Dianna make?
O 3 loaves
4 loaves
5 loaves
O 7 loaves

Answers

Answer: c

Step-by-step explanation:

Xavier climbs 9 feet up into an apple tree. What integer represents the direction and how far he will climb to get back down to the ground? What does the integer 0 represent in this situation?

Answers

Answer:

He started climbing 9 feet up into the tree, so we can assume that the initial position is 9ft above the ground.

Then if he wants to get back into the ground, he must "descend" or climb down 9 ft again.

Then the integer is -9 (because he is climbing down now).

In this case, the 0 represents that he does not move.

So the integer 0 is related to: +0ft or -0ft

This means that he climbs up 0ft or down -0ft, which is the same as not moving at all.

what is −4(−5x+2)−3x−5= -30

Answers

Answer:

x = -1

Step-by-step explanation:

Step 1: Write equation

-4(-5x + 2) - 3x - 5 = -30

Step 2: Solve for x

Distribute -4: 20x - 8 - 3x - 5 = -30

Combine like terms: 17x - 13 = -30

Add 13 on both sides: 17x = -17

Divide both sides by 17: x = -1

Answer:

x = -1

Step-by-step explanation:

invere operation

−4(−5x+2)−3x−5= -30

20x - 8 -3x - 5 = -30

17x -13 = -30

17x = -17

x = -1

A serving of small frozen casserole is 1/3 of the pan. If you eat 1/4 of the pan, what fraction of a serving have you eaten

Answers

Answer:

If the portion of frozen casserole occupies 1/3 of the pan, it can be affirmed that it occupies 0.333 of it. Thus, if someone eats 1/4 of the pan, it could be stated that they are eating 0.25 of it.

Therefore, to determine the fraction of the portion that has been eaten, the following calculation must be performed:

33 = 100

25 = X

(25 x 100) / 33 = X

2500/33 = X

75.75 = X

25/33 = X

Therefore, the fraction of the serving that was eaten is 25/33, or 76% of the serving.

Math please help me solve

Answers

Answer:

Angle 1: 34°

Angle 2: 146°

Angle 3: 146°

Angle 4: 34°

Angle 5: 34°

Angle 6: 146°

Angle 7: 146°

Angle 8: 34°

Step-by-step explanation:

Angle 1: because angle 1 and 5 are corresponding, we know that angle 1 is 34°.

Angle 2: because a line is 180°, we can set angle 1 and 2 equal to 180° ( 34+x+15=180) which when solved, x = 131. but you need to plug it back into the equation of angle 2 to find out how many degrees it is. ( 131+15=146 ) So angle 2 is 146°

Angle 3: angles 2 and 3 are vertical angles, so angle 3 is 146°

Angle 4: angles 1 and 4 are vertical, so angle 4 is 146°

Angle 5: is given

Angle 6: angles 2 and 6 are corresponding so they are equal, angle 6 is 146°

Angle 7: angles 6 and 7 are vertical so angle 7 is 146°

Angle 8: angles 5 and 8 are vertical of each other so they are equal, angle 8 is 34°

g Researchers studied 208 infants whose brains were temporarily deprived of oxygen due to complications at birth. When researchers detected oxygen deprivation, they randomly assigned babies to either usual care or to a whole-body cooling group. The goal was to see whether reducing body temperature for three days after birth increased the rate of survival without brain damage. What is the response variable

Answers

Answer:

The rate of survival without brain damage

Step-by-step explanation:

The response variable (or dependent variable) is the variable that is measured and which depends on other variables. In this experiment, the researchers are investigating the impact of reducing body temperature on rate of survival without brain damage. The variable that they were 'measuring' was the rate of survival without brain damage, which depended on the variable of reducing body temperature, therefore the response variable here is the 'rate of survival without brain damage.'

Hope this helped!

Jill, Cathy, and Sand​y ​were in line for a roller coaster ride. How many ways could they be seated if the ride held 3 people in each seat?

Answers

Answer:

6

Step-by-step explanation:

1x2x3=6

A spinner with 6 equally sized slices is shown below. (2 slices are yellow, 1 is blue, and 3 are red.) The dial is spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice?

Answers

Answer:

1/3

Step-by-step explanation:

We have 6 slices

2 are yellow

P ( yellow) = number of yellow / total

                 = 2/6

                  = 1/3

Answer:. 1/3 probability that it stops on yellow.

Step-by-step explanation:

There are 6 possible outcomes. 2 are the incidents that you are looking for.

Make a ratio 2:6 or a fraction 2/6

Then simplify or reduce the fraction. 2/6 = 1/3

6. Identify the recursive formula for the sequence 3, –15, 75, –375, . . .

Answers

Answer:

first option

Step-by-step explanation:

There is a common ratio r between consecutive terms in the sequence, that is

r = - 15 ÷ 3 = 75 ÷ - 15 = - 375 ÷ 75 = - 5

The recursive formula allows a term in the sequence to be found by multiplying the previous term by r , thus

f(n) = - 5f(n - 1) if n > 1

with f(1) = 3 ← first term

Answer:

D . f(n)=f(1)=3

            f(n)= -5f(n-1)if n >1

Step-by-step explanation:

i hope this help  got it right on test

-3/8r + 41 = -22 solve for r

Answers

Answer:

r=168

Step-by-step explanation:

what is 8653 × 8975??????????????????????????????

Answers

Answer:

8653 × 8975= 77660675.

So the answer is 77660675

Hope I helped you

Answer:

the answer is 77660675

Step-by-step explanation:

After 8 points are added to each score in a sample, the mean is found to be M= 40. What was the value for the original mean

Answers

Answer:

The value for the original mean = 32

Step-by-step explanation:

Here, we want to calculate the original value of the mean.

Let the number of samples be n

Mathematically;

mean = Total value/n

Now, we added 8 to each of values; total value added = 8 * n = 8n

Now, for the new mean of 40; we have

(Total value + 8n)/n = 40

Total value + 8n = 40n

Total value = 40n -8n

Total value = 32n

kindly recall from the beginning of the solution;

mean = Total value/n

mean = 32n/n

mean = 32

So the original value of the mean is 32

Mr.Harris owns a bubble machine that he uses for different school events. The bubble solution contains 3/4 cup of corn starch for every 2 cups of water.

What is the rate in cups of corn starch pero cup of water


A.3/8

B.2/3

C. 1 1/2

D. 2 2/3 ​

Answers

Answer:

3/8

Step-by-step explanation:

Divide 3/4 into 2. Got it right on iready

What standard measurement would be best used to determine how much milk is in a milk carton for lunch?

Answers

liters


hope this helps

A water bird is flying 11 feet above the surface of a pond.
It dives 15 feet down and then rises 3 feet to catch a fish.
What is the new position of the bird relative to the
surface of the water?

Answers

68.54 of the surface of the water

In a particular class of 22 students, 18 are men. What fraction of the students in the class are men

Answers

Answer:

9/11

Step-by-step explanation:

The fraction that are men are

men/total

18/22

Divide the top and bottom by 2

9/11

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