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

Find the value of x for which l is parallel to m. The diagram is not to scale.

Answers

Answer:

x= 41

Step-by-step explanation:

3x-43= 80 is the equation since they are alternate interior angles.

Step 1- Add 43 to both sides.

3x-43= 80

  +43 +43

Step 2- Divide both sides by 3.

3x= 123

3      3

x= 41

The given angles are the alternate interior angles formed by a common

transversal to two parallel lines.

The value of x for which line l is parallel to line m is c. 41°.

Reasons:

When line l is parallel to line line m, we have;

The alternate interior angles will be equal

Therefore;

(3·x - 43)° = 80°

Which gives;

[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]

The value of x is 41°

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1.PS-9
Question Help
You want to buy some noodles. A 6-ounce package costs $2.22. A 15-ounce package costs $5.85. A
26-ounce package costs $9.36. Which package is the best buy?
The
-ounce package of noodles is the best buy.

Answers

The 6-ounce package costs 0.37 per ounce. The 15-ounce package costs 0.39 per ounce. The 26-ounce package costs 0.36 per ounce. To figure this out, I took the cost and divided it by how many ounces there were in the package.
ANSWER: the best buy is the 26-ounce package because each ounce costs less.

Earth is 149 597 890 km from the sun. Pluto is about 39.5 times farther away from the sun than earth. how far is pluto from the sun? round your answer to three digits and express it in scientific notation.

Answers

Answer:

39.5 astronomical units

Which inequality best represents the Domain of the part show ?
a) y_>4.5
b) x_>4.5
c) y_> -2
d) x_>-2

Answers

Answer: D) [tex]x \ge -2[/tex]

==================================================

Explanation:

The domain is the set of all allowed x inputs.

The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.

The largest input has no restriction since it grows forever toward the right (due to the arrow).

So we say that x can be -2 or larger meaning [tex]x \ge -2[/tex] is the domain.

-----------------

Extra info:

In interval notation, the domain would be [tex][-2, \infty)[/tex] to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.

What is the prime factorization of 36

Answers

Answer:

[tex]2^{2} x 3^{2}[/tex]

Step-by-step explanation:

Answer:

2^2*3^2

Step-by-step explanation:

You can break down 36 through ways down to its prime factors through multiple ways like a facor tree

                   36

                4       9

             2    2  3   3

Since two and three cannot be broken down anymore, they are prime factors. Also, because you are left with two 2s and two 3s, you would mark that as squared when giving an answer.

A car travels west for 240 km in 4 hr. What is the car's velocity? *
1 point
16.67

Answers

Answer:

velocity of the car is 16.667

Step-by-step explanation:

first

changing si unit of both km and hrs into meter and second

then

v= m/s

v=240000/14400

v= 16.667m/s

Answer:

answer

Step-by-step explanation:

Velocity equals distance divided by time.

240 km divided by 4 h

Velocity equals 60 km/h W

help plz I GIVE OUT BRAINIEST!

Answers

He ran 100 meters in 9.63 seconds, so we can set up the equation below and do these steps...

100 meters = 9.63 seconds

10.384 meters = 1 second (divide both sides by 9.63)

37382.4 meters = 3600 seconds (multiply both sides by 3600)

37382.4 meters = 1 hour

His speed is roughly 37382.4 meters per hour, which is less than 40234 meters/hr = 25 mi/hr

Answer: his speed is less than the speed limit 25 mph

Which statement is true? Question 7 options: A) |–3| = 3 and –|–4| = –4 B) |–3| = 3 and –|4| = 4 C) –|3| = 3 and |4| = 4 D) |–3| = 3 and |–4| = –4

Answers

Answer:

option A is correct

Step-by-step explanation:

mod's has a simple function -

if |x| is given it simply means that the value of "X" can't be negative

Option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

What is Number system?

A number system is defined as a system of writing to express numbers.

The absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign.

|-x|=x

For option A

|–3| = 3 and –|–4| = –4 is true

For option B

|–3| = 3 and –|4| = 4 is not true because –|4|  is -4.

For option C

–|3| = 3 and |4| = 4 is not true because –|3| is -3

For option D

|–3| = 3 and |–4| = –4 is not true because |-4| is 4

Hence, option A is correct,  |–3| = 3 and –|–4| = –4 is true statement.

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#SPJ5

You run 1/12 miles in 1/2 minutes. How many miles per hour do you run?

Answers

Answer:

10 miles per hour

Step-by-step explanation:

1/12 miles

------------------

1/2 minute

1/12 ÷1/2

Copy dot flip

1/12 * 2/1

1/6 miles per minute

We need to convert minutes to hours

1 hours = 60 minutes

1/6 miles / minutes * 60 minutes/ hour

= 60/6 miles per hour

10 miles / hour

factorize6 + 13mn + 7mn?​

Answers

☽------------❀-------------☾

Hi there!

~

Let's simplify step-by-step.

[tex]6 + 13mn + 7mn[/tex]

Combine Like Terms:

[tex]= 6 + 13mn + 7mn\\= (13mn+ 7mn) + (6)\\= 20mn + 6[/tex]

❀Hope this helped you!❀

☽------------❀-------------☾

Choose the algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height.
a (1/2)(5h)(h – 4)
b (1/2)(5b + 4)(b)
c (1/2)(5h – 4)(h)

Answers

Answer:

c (1/2)(5h – 4)(h)

Step-by-step explanation:

Area of a triangle = 1/2 × base × height

Let

Height of the triangle = h

Base 4 inches less than 5 times wider than the height.

Base of the triangle = 5h - 4

Area of a triangle = 1/2 × base × height

= (1/2)(5h-4)(h)

The algebraic expression that represents the area of a triangle that has a base 4 inches less than 5 times wider than the height is (1/2)(5h-4)(h)

Option C is the correct answer

Answer:

c

Step-by-step explanation:

i had this same question a while ago

every square root is a rational number true or false

Answers

Answer:

False

Step-by-step explanation:

The principal square root of most numbers is an irrational number with an infinite decimal expansion.

Not every square root is irrational but the statement says EVERY so false.

Hope I helped!

Please label mine as brainliest!

Answer:

False

There can be irrational numbers too. Complex, even. Also, Imaginary.

cube-shaped art sculpture has a volume of 64 cubic
eet. What is the length of each edge of the cube? How can you find the cube root 64?

Answers

Well it’s probably is 4x4x4

4x4 is 16x4 is 64. There all the same just times them all I think

what is 4+7 im having a hard time in 2nd grade

Answers

the answer is 4+7=11

Answer: 11

Step-by-step explanation: 7+1+1+1+1 = 11

                                            7   8 9 10 11

21-7x=7(3-x)
Solve this please!!!!!!!!!!

Answers

Answer:

All real numbers

Step-by-step explanation:

21 - 7x = 7(3 - x)

21 - 7x = 21 - 7x

Since both sides of the equation are equal, the answer is all real numbers.

[tex]21 - 7x = 7(3 - x)\\21 - 7x = 21 - 7x\\-7x + 7x = 21 - 21\\x \in \mathbb{R}[/tex]

There are 38 cars parked in the parking structure the parking structure is nor full to. Capacity there are 13 parking spaces that are empty what is the ratio of available parking spaces to parked cars

Answers

Answer: Decide which of the two given prices is the better deal and explain why. You can fill a 12 gallon tank of gas for $42.47 or buy gas for $3.60/gallon.

Step-by-step explanation:

I NEEF A FAST ANSWED​

Answers

Answer:

y value

Step-by-step explanation:

bc it is xiydid5is5is58w

Answer: Y - value

Good luck


If
3x^2+ 9x + 11
X – 1 =
3x2 + 3x + a + 23
X-1
what is the value of a?

Answers

Answer:

a = -6 - 6x + 3x^2

Step-by-step explanation:

What is the direction (angle) of the resultant vector?
Rx = -419
Ry = -253
R = 490
θ = ____ ° counterclockwise from the +x-axis

Answers

Answer:

[tex]\theta = 148.8[/tex]

Step-by-step explanation:

Given

[tex]R_x = -419[/tex]

[tex]R_y = -253[/tex]

[tex]R = 490[/tex]

Required

Determine the value of [tex]\theta[/tex]

Since, [tex]\theta[/tex] is counter clockwise from x axis;

The relationship between [tex]\theta[/tex], [tex]R_x[/tex] and R is

[tex]cos\theta = \frac{R_x}{R}[/tex]

Substitute values for Rx and R

[tex]cos\theta = \frac{-419}{490}[/tex]

[tex]cos\theta = -0.8551[/tex]

Take arccos of both sides

[tex]\theta = cos^{-1}(-0.8551)[/tex]

[tex]\theta = 148.770784108[/tex]

[tex]\theta = 148.8[/tex] (Approximated)

Solve for k.
k/4 + 8 = 12 ​

Answers

Answer:

k = 16

Step-by-step explanation:

To solve this we must isolate k.  Let's first simplify this equation by subtracting   8 from both sides:

k/4 = 4

Next, remove the fraction by multiplying both sides by 4:

k = 16

Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)

Answers

Answer:

  (-1, 2)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates:

  M = (A +B)/2

  M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)

The midpoint is (-1, 2).

one solution to a quadratic function is -4+7i, what is the other solution?

Answers

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

Help please i mark brainliest !!!

Answers

Point slope form: y - y1 = m(x - x1)

y1 = y-point

m = slope

x1 = x-point

Using what we wrote above, we can solve the question.

y1 = -2

m = -2/3

x1 = 4

Therefore, the point is (4, -2) and the slope is -2/3

Best of Luck!

Answer the following questions using the table below.
-2
-1
0
-10
-8
-6
-4
1
Is this a linear function?
<
What is the slope?
h
What is the y-intercept?
What is the equation of the linear function?

Answers

Answer:

the - are the x or y

Step-by-step explanation:

any help please, asap​

Answers

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

Find the base for the following items.
4 is 1% of what number?

Answers

Answer:

400

Step-by-step explanation:

A manager believes a new advertising campaign will increase sales by 40%. If current sales are 3,500 units how many total units does the manager expect to sell after launching the campaign?

Answers

Answer: 5,400 units

Step-by-step explanation:

if you multiply 3,500 units by 40%, you get the quotient 1,900, which is 40% if 3,500. if you add the quotient, 1,900, to the total amount of units already, 3,500, you get the total of 5,400 units

(Number 5)help plzzz

Answers

Answer:

See below.

Step-by-step explanation:

So we want to prove that:

[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]

First, simplify √8. This is the same as:

[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]

Therefore, our equation is now:

[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]

Combine like terms on the left:

[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]

The square root of something is the same as taking that number to the one-half power. Thus:

[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]

Rewrite:

[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]

And we're done!

The owner of an appliance store bought 15 washers at $279 each and 18 dryers at $229 each. How much did the dealer spend in all?

Answers

Answer:

8307 dhdhdhsjs

Step-by-step explanation:

vahahahwhahehe

Answer: 8,307$

Step-by-step explanation:

279$ x 15 = 4185$

229$ x 18 = 4122$

4185$ + 4122$ = 8,307$

I didn’t post the question I’m sorry but helppp :cc

Answers

I don’t see the question
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