What is the distance in km between two cites that are 7.5 cm apart on a 1:24 000 scale

Answers

Answer 1

The scale 1:24000 means that 1 unit on the map represents 24000 of that unit on the ground.

7.5 cm on the map represents 7.5 x 24000 = 180000 cm on the ground.

180000 cm = 1800 m (dividing by 100 cm per m)
1800 m = 1.8 km (dividing by 1000 m per km)

Those "cities" are really close together!

Related Questions

One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid.

Answers

the formula for area of a trapezoid is: 1/2 (b1+b2) h
b1=10
b2=10·2=20 because it stated the side parallel is twice as long as the side above
h=10/2=5 because the height is half as long as the give side length
area of the trapezoid is: 1/2 (10+20) 5
(5·10)·5
50·5
area of the trapezoid is 250 in²

If the parent function is y = 2x, which is the function of the graph?

A. y = 0.5(2)x + 1 − 3

B. y = 0.5(2)x + 1 + 3

C. y = 0.5(2)x − 1 − 3

D. y = 0.5(2)x − 1 + 3

Description

Answers

Answer is C but if its on grad point your answer is 0.5(2)^x

What are the steps to find x

Answers

6 - 3(x +2) = 15
First you would want to distribute
6 - 3x - 6 = 15
Then combine like terms
-3x = 15
Then divide
x = -5

6-3(x+2)=15 (problem)
6-3x-6=15 ( distributive property)
-3x=15 ( combine like terms)
x=-5 ( divide both sides by -3)

The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find the side lengths of the triangle

Answers

Longer leg = x + 4

Shorter leg = x

Hypotenuse = x + 8

Using Pythagorean Theorem:

a^2 + b^2 = c^2

(x + 4)^2 + x^2 = (x + 8)^2

x^2 + 8x + 16 + x^2 = x^2 + 16x + 64

2x^2 + 8x + 16 = x^2 + 16x + 64

2x^2 +8x = x^2 + 16x + 48

2x^2 - 8x = x^2 + 48

x^2 - 8x = 48

x^2 - 8x - 48 = 0

You can complete the square from here or use the quadratic formula.

Completing the square:

x^2 - 8x = 48

x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2

x^2 - 8x + 16 = 48 + 16

(x - 4)(x - 4) = 64 or (x - 4)^2 = 64

x - 4 = +√64 OR x - 4 = -√64

x - 4 = +8 OR x - 4 = -8

x = 12 OR x = -4

However, you can't use negative 4 as a length because your length needs to be a positive.

So x will be 12.

Shorter leg: 12

Longer leg: 12 + 4

Hypotenuse: 12 + 8

Final answer:

To find the side lengths of the right triangle, we let the shorter leg be x cm, resulting in the longer leg and hypotenuse being (x + 4) cm and (x + 8) cm, respectively. Using the Pythagorean theorem, we establish the equation x² + (x + 4)² = (x + 8)², then solve for x to determine the side lengths.

Explanation:

The problem involves solving for the lengths of the sides of a right triangle using the Pythagorean theorem. Let the shorter leg of the triangle be x cm. According to the problem statement, the longer leg would then be x + 4 cm, and the hypotenuse would be x + 8 cm. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Using the theorem we can set up the equation:

x² + (x + 4)² = (x + 8)²

Solving for x will give us the lengths of the sides of the triangle:

Shorter leg: x cmLonger leg: x + 4 cmHypotenuse: x + 8 cm

Which equation illustrates the commutative property of addition?

Answers

the correct answer is A or the first one

yes answer is A.
first one

a + b = b +a
so in this case

12 + 6 + 15 = 12 + 15 + 6

Based on this excerpt, we can conclude that autism

Answers

I'm guessing you want a definition of autism if so "a mental condition, present from early childhood, characterized by difficulty in communicating and forming relationships with other people and in using language and abstract concepts."
Hope this helps. (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

Jane has read 108 pages of her book. Kevin is reading the same book and has 80 pages left to read. If there are 200 pages in the book by how much percent is the number of pages left for Jane greater then Kevin

Answers

6% because you have to subtract 108 from 200 (92) and subtract 80 from that (12) and because there is 200 pages and the percent is out of 100, you have to divide 2 by 12 and you get 6

___ L = 240 kL ?

A. 24,000
B. 240,000
C. 0.240
D. 2.4

Answers

Answer: B.240,000
240 Kiloliter =240,000 Liter

Plzzzz Help mee with the one that isnt answered look at the pic i took

Answers

Well all you have to do is multiply 5 by 500 giving you your answer so...

500×5=25000

So she defends 25000 feet.

Triangles are congruent if they have the same ______________.

Answers

Triangles are congruent if they have the same (Shape and Size).

Triangles are congruent if they have the same size and shape.

The formula for the perimeter of a rectangle is P=2(L+W) solve for W.
A. W=p/2-l
B. W=2p-l
C. W=p-2/+l
D. W=P/2+L

Answers

cccccccccccccccc because u would want to get w by it self

Answer:

Option A - [tex]W=\frac{P}{2}-L[/tex]

Step-by-step explanation:

Given : The formula for the perimeter of a rectangle is P=2(L+W).

To find : Solve for W ?

Solution :

The formula for the perimeter of a rectangle is

[tex]P=2(L+W)[/tex]

Multiply,

[tex]P=2L+2W[/tex]

Subtract 2L both side,

[tex]P-2L=2W[/tex]

Divide by 2 both side,

[tex]W=\frac{P-2L}{2}[/tex]

or [tex]W=\frac{P}{2}-L[/tex]

Therefore, Option A is correct.

Six times a number , less 11 is 49

Answers

6x - 11 = 49
+ 11 + 11
6x = 60
/6 /6
x = 10

The answer is 10.

The cost of 1 movie ticket is $7.50. The cost 2 movie tickets is $15.based on this constant rate of change what is the cost of 4 movie tickets

Answers

The cost of 4 tickets is 30 dollars 4 x 7.50 = 30

The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of the endpoints of the side congruent to side FG?

Answers

[tex] (x, y) --\ \textgreater \ (-y, x) (-2, 5) --\ \textgreater \ (-5, -2)[/tex]

The answer to ur question is (x, y) --\ \ < \ (-y, x) (-2, 5) --\ \ < (-5, -2). Hope this helps you!!

Find the approximate side length of a square game board with an area of 192 in2.

Answers

Squares have 4 equal sides, thus, the answer is 48 in^2.

look it's a square therefor it will have 4 sides hence the answer will be 48 /2 which is 16

A fourth degree polynomial with five terms could have, at most, how many different linear factors?

Answers

Given that a linear factor is of the type (x - k) where the value k is called a "root" (or a zero) of the polynomial, then you can easily imagine that H(x - a)(a - b)(x - c)(x - d) has no choice but to end up as a polynomial that begins with a term in x^4. (H is just a scalar = normal number that becomes the "leading coefficient" of the polynomial, once you perform the multiplication that rebuilds the polynomial) The number of terms in the polynomial does not really matter. for example, something like (x+1)(x-1)(x+2)(x-2) = x^4 - 5x^2 + 4 It is still a "fourth degree" polynomial; It is still a "real" polynomial (the coefficients 1, -5 and 4 are all real numbers) If you imagine throwing in a 5th linear factor, as in (x - a)(x - b)(x - c)(x - d)(x - e) there is no way to avoid ending up with an x^5 It is no longer a "fourth degree" polynomial. Therefore, a fourth degree polynomial CANNOT have more than 4 linear factors. Does not matter how many terms it has.

The correct answer is: c. 4. In some cases, a fourth-degree polynomial with five terms could have at most 4 different linear factors.

To understand how many different linear factors a fourth-degree polynomial with five terms could have at most, let's consider the Fundamental Theorem of Algebra, which states that a polynomial of degree (n) has exactly (n) complex roots, counting multiplicity. For a fourth-degree polynomial, this means it can have at most 4 linear factors, as each linear factor corresponds to a root.

However, the polynomial could have repeated roots, reducing the number of distinct linear factors. If all four roots are distinct, then there will be 4 different linear factors. But if one or more roots are repeated, the number of different linear factors will decrease. The polynomial could have fewer than 4 distinct linear factors if it has repeated roots.

Complete Question:

A fourth degree polynomial with five terms could have, at most, how many different linear factors?

a. 3

b. 2

c. 4

d. 5

Any nonzero number to the power of zero is equivalent to _____.

Answers

the answer to this question is 0

Please help me out!! ☮✌

Answers

a linear pair would equal 180 degrees

so 180-28 = 152

What's the missing side

Answers

x = 35/sin(40) = 54.4503

round answer as needed.

You found 6.60 on the ground at school, alpl in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 coins in all. how many of each type of coin do you have?

Answers

Let the number of nickel coins be n, the number of quarter coins be q and the number of dimes be d.

We know that 1 nickel= $0.05, 1 dime= $0.1 and 1 quarter= $0.25,

We found $6.60 means that : i) 0.05n+0.1d+0.25q=6.60

we have 42 coins in all mean: ii) n+d+q=42

we have twice as many quarters as dimes mean that iii) q=2d

using the last relation we can reduce the number of unknowns by writing all q's in terms of d's as follows:

i) 0.05n+0.1d+0.25q=6.60
ii) n+d+q=42

substitute q with 2d:

i) 0.05n+0.1d+0.25(2d)=6.60
ii) n+d+(2d)=42

i) 0.05n+0.1d+0.5d=6.60
ii) n+d+2d=42

i) 0.05n+0.6d=6.60
ii) n+3d=42

multiply the second equation by -0.2, to eliminate the d's:

i) 0.05n+0.6d=6.60
ii) -0.2n-0.6d=-8.4
---------------------------

i+ii)

-0.2n+0.05n=6.60-8.4
-0.15n=-1.8
n=-1.8/(-0.15)=12

substitute in i):

0.05n+0.6d=6.60
0.05*12+0.6d=6.60
0.6+0.6d=6.60
0.6d=6.0
d=10

finally, from equation n+d+q=42:

12+10+q=42
22+q=42
q=42-22=20

Answer: # nickels=12, # dimes=10, # quarters=20

The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.

Answers

a + b = 90
a = 2b - 15

2b - 15 + b = 90
3b - 15 = 90
3b = 90 + 15
3b = 105
b = 105/3
b = 35 <== second angle

a = 2b - 15
a = 2(35) - 15
a = 70 - 15
a = 55 <== first angle

Answer: The measure of angle a is 90-25=65° and the measure of angle be is 25°.

Step-by-step explanation:

Let the two complementary angles be 'a' and 'b'.

So, the sum of two complementary angles is 90°.

So, it becomes,

[tex]a+b=90^\circ---------------(1)[/tex]

First angle is 15 less than twice the measure of the second angle.

So, it becomes,

[tex]a=2b-15-------------(2)[/tex]

Put the equation (2) in equation (1), we get

[tex]a+b=90^\circ\\\\2b-15+b=90^\circ\\\\3b+15=90^\circ\\\\b=90-15\\\\3b=75^\circ\\\\b=\dfrac{75}{3}\\\\b=25^\circ[/tex]

Hence, the measure of angle a is 90-25=65° and the measure of angle be is 25°

Which of the following is rational?
A. 3 x pie
B. 2/3 + 9.26
C. root 45 + root 36
D. 14.333... + 5.78765239...

Answers

The correct answer is B
2/3 is a rational number + 9.26 (also rational) = rational answer

A motor racing circuit has the length of 5 5/6 milesa straight section of the circuit has the length 1 1/4 mileswhat fraction of the circuit is the straight section?

Answers

The straight section is 3/14 of the total circuit. This is mostly a problem of adjusting fractions to have common denominators. The fraction of the total circuit is ( length of straight section ) / ( length of total racing circuit ) = ( 1 1/4 ) / ( 5 5/6 ) first, convert the integer parts to a fractions with the same denominator as the fractional part: = ( (1x4)/4 + 1/4 ) / ( (5x6 / 6) + 5/6 ) combine the fractions to make a single fraction in numerator & denominator: = ( 4/4 + 1/4 ) / ( 30/6 + 5/6 ) = ( 5/4) / ( 35/6 ) the division by 35/6 can be done by instead multiplying by the inverse of 35/6: = 5/4 x 6/35 which is done by multiplying the numerators and denominators, and then simplifying by factoring out common divisors from top and bottom: = ( 5 x 6 ) / ( 4 x 35 ) = 30 /140 = 6 / 28 = 3/14

Answer:

3/14

Step-by-step explanation:

How do you know that 6:14 is equivalent to 15:35 using a multiplication table?

Answers

Answer:Sample answer: Using a multiplication table, you would see that 6 and 15 are multiples of 3 by factors 2 and 5. You would also see that 14 and 35 are multiples of 7 by factors 2 and 5.

The required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.

Given that,
To determine that 6:14 is equivalent to 15:35 using a multiplication table.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
the given ratios are,
1) 6 : 4 = 6/4 = 2* 3/ 2 *7
2) 15:35= 15 / 35 = 5 * 3 / 5 * 7

Implies both the ratios are equivalent, by
6 : 14 = 15 : 35
2[ 3 : 7] = 5 [ 3 : 7 ]

Thus, the required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.

Learn more about ratio here:

brainly.com/question/13419413

#SPJ2

Show work on simply 2+(3g-4)-(8g+3)

Answers

2 + 3g - 4 -8g - 3

2 - 7 -5g

-5g - 5 is your answer

hope this helps

Write the slope-intercept form of the equation for the line

Answers

y= 2x -1. I hope this helps love! :)

A box contains 5 blue marbles 3 red marbles and 6 white marbles. if three marbles are drawn, without replacement, what is the probability that all three are blue?

Answers

The probability that all three are blue it's 3:14

Simplify: (sin θ − cos θ) − (sin θ + cos θ)2 (5 points)

Answers

I'll use x instead of theta

(sin(x) - cos(x)) - (sin(x) + cos(x))^2
(sin(x) - cos(x)) - (sin^2(x) + 2*sin(x)*cos(x) + cos^2(x))
(sin(x) - cos(x)) - (sin^2(x) + cos^2(x) + 2*sin(x)*cos(x))
(sin(x) - cos(x)) - (1 + 2*sin(x)*cos(x))
sin(x) - cos(x) - 1 - 2*sin(x)*cos(x)
- 2*sin(x)*cos(x) - cos(x) + sin(x) - 1

The final answer is choice D

Three eggs are required to make two dozen muffins. how many eggs are needed to make 12 dozen muffins using a proportion

Answers

18 eggs are required to make 12 dozen muffins

Amount of eggs needed to make 2 dozen muffins
= 3

Amount of eggs needed to make 1 dozen muffins
=3/2
=1.5

Amount of eggs need to make 12 dozen muffins
=1.5x12
=18

A used-boat dealership buys a boat for $2600 and then sells it for $3800. What is the percent increase?

the % increase is about ?%

Answers

46% Find the difference of 2600 and 3800= 1200. Now divide 1200 into 2600. If you round the number it will be 0.46= 46%

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