(ii) The scale 1 cm represents 50m can be written in the form 1:k.
Find the value of k.
k=
[1]

Answers

Answer 1

Answer:

k = 50

Step-by-step explanation:

The scale 1 cm represents 50m

It means that 1 cm length of pictorial representation of any obejct  is equivalent to 50m in reality.

In scale terms it can be represented in ratio form of a:b

where

a is the length of picture and b is actual length

here length of pictorial representation is 1 cm

and 50m is actual length

thus scale will be  1:50

But is given that The scale 1 cm represents 50m can be written in the form 1:k.

1:50 is same as 1:k

thus

1:50 = 1:k

we know that in ratio

if a:b = c:d

then

a= c  and b = d

Thus,

k = 50 Answer


Related Questions

Help me out please if anybody can

Answers

Answer:

The correct choices are;

g(0) = 0

g(1) = 1

and ;

g(-1) = 1

Step-by-step explanation:

In this question, we are to select the correct options.

So let’s take a look at the options

The term g(0) is correct

We can see that the base of the graph is sitting on the origin. At the point where x = 0, then g(x) is also = 0

g(1) is not equal to -1.

g(1) is equal to 1, mark the point 1 on the positive x-axis and trace towards the graph.

g(4) = -2 is another wrong option

The graph has no values on the negative y-axis i.e its smallest value is 0

g(1) = 1 is correct

We can trace this out from the graph

g(-1) = 1 is also correct. This is also traceable from the graph also

Combine like terms -5.55-8.55c+4.35c

Answers

-5.55 -4.2

5.55/4.2= 1.32142857

1.Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (−9,8) Midpoint: (2,−1)

2.Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (0,2) Midpoint: (4,5)

Answers

Answer:

1. Coordinates of the other endpoint are (13, -10)

2. Coordinates of the other endpoint are: (8, 8)

Step-by-step explanation:

1. The endpoint (-9, 8) is located in the second quadrant. The midpoint (2, -1) is located in the fourth quadrant. That is to the right and down from the endpoint. Notice that the difference in the horizontal axis between the x-coordinates of the endpoint (-9, 8) and the midpoint (2, -1) is: | 2 - (-9) | = 11

And the difference in the vertical axis is: | -1 - 8 | = 9

So the midpoint is located 11 units to the right,and 9 units down from the endpoint. Then the other endpoint should be located also 11 units to the right, and 9 units down but from the midpoint. That is at: (2 + 11, -1 - 9) = (13, -10)

2. In this case, both, endpoint and midpoint are in the first quadrant, but notice that the midpoint is further away from the origin of coordinates.

The differences now are:

horizontal: 4 - 0 = 4

vertical: 5 - 2 = 3

and in both cases units are added to the endpoint coordinates to get to the midpoint coordinate values.

So to find the other endpoint we add 4 units to the x-value of the midpoint, and add 3 units to its y-value:

Other endpoint at : ( 4 + 4, 5 + 3) = (8, 8)

All of the following expressions simplify to 3, except _____.

-6 + 9
1 - (-2)
-9 ÷ (-3)
-5 - 2

Answers

Answer:

-5 - 2

Step-by-step explanation:

Solve each of the following

A is -6 + 9 which equals 3

B is 1 - (-2) which simplifies into 1 + 2 which equals 3

C is -9 / -3. the negatives cancel leaving 9/3 which is 3

D is -5 - 2 which simplifies into -5 + -2 which equals -7

-5-2

Because
-6+9=3
1-(-2)=3
-9/(-3)=3

-5-2=-7

Write 23 /2 as a mixed number. Give your answer in its simplest form.

Answers

Answer:

11 1/2

Step-by-step explanation:

Convert improper fraction to mixed number

23 over 2

= 11 and 1/2

23 ÷ 2 = 11 remainder 1

Answer:

11whole,1 and a half

Step-by-step explanation:

divide 23 by 2

Can you solve (x-5)^2=3

Answers

Answer:

x = 6.73 (corrected to 3 significant figures.)

Step-by-step explanation:

(x-5)^2=3

Square root both sides of the equation.

[tex]\sqrt{(x-5)^2} =\sqrt{3}[/tex]

[tex](x-5) = \sqrt{3}[/tex]

Add 5 to both sides.

[tex]x = \sqrt{3} + 5[/tex]

x = 6.73 (corrected to 3 significant figures.)

Answer:

x=-22 or -13

Step-by-step explanation:

(x-5)^2=3

Or,x^2-10x+25=3

Or,x^2-10x=3-25

Or,x (x-10)=-22

Either

x=-22

Or,

x-10=-22

x=-22+10

x=-12

x=-22,-12

PLEASE HELP ASAP THANKSSSS

Answers

Answer:

The correct answer is C

Step-by-step explanation:

As you can see Town A is on top of Town B this means that Town B has symetric points to town A. This also shows how Town A is Positively skewed.

In an orchard the ratio of apple trees to pear trees is 2 : 5, and the ratio of pear trees to peach trees is 3 : 4. Work out the ratio of apple trees to pear trees to peach trees.

Answers

Answer:

5/8

Step-by-step explanation:

apple trees to pear trees=5/2 to peach trees=(5/2)/4=5/8

Pleas answer in two minutes now

Answers

The answer is B, 57 units. Hope this helped:).

Answer:

I believe the answer is C.

Simplify √5x/x √ 20 answer choices
a.1/2
b.√x/2x
c.√x/2

Answers

Answer:

a

Step-by-step explanation:

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) Graph of 2 to the power of x plus 1

Answers

First we need to find f(2) and f(5), which are 5 and 11 respectively; all you have to do is plug in 2 and 5.

Then, we use the following formula:

(f(b)-f(a))/(b-a),

where b and a are the largest and smallest x values respectively.

Finally, we plug our values in:

(11-5)/(5-2)=6/3=2

In fact, the average rate of change of any linear function is just the coefficient of the x term. Hope this helped!

The points (0, –1) and (4, 5) lie on the straight line L.
Find an equation of the line which is parallel to L and passes through the point (–2, 0).

Answers

Answer:

y = 3/2x + 3.

Step-by-step explanation:

With these two points, we can find the equation of line L.

y = mx + b

Slope: (5 --1) / (4 - 0) = 5 + 1 / 4 = 6 // 4 = 3/2

Intercept: [stated by the first pair of coordinates] (0, -1)

y = 3/2x - 1

Since the line is parallel to L, the slope is the same as line L.

y = 3/2x + b

The line passes through (-2, 0), so we can substitute the points into the equation and solve for b.

0 = 3/2 * -2 + b

b - 3 = 0

b = 3

So, the equation of the line which is parallel to L and passes through the point (-2, 0), is y = 3/2x + 3.

Hope this helps!

Find the difference.
(3x4 - 5x2 - 4)-( 2x3 x2 + 1)
w
3x4 - 2x3 - 4x2-5
a

Answers

Answer:

(3x4 - 5x2 - 4)-( 2x3 x2 + 1) is equals to -15

3x4 - 2x3 - 4x2-5 is equals to -7

Step-by-step explanation:

1.) (3x4 - 5x2 - 4)-( 2x3 x2 + 1)

3 x 4 = 12     5 x 2 = 10     12 - 10 = 2     2 - 4 = -2

2 x 3 = 6     6 x 2 = 12     12 + 1 =  13

-2 - 13 = -15

2.)3x4 - 2x3 - 4x2-5 is eaquals to -7

3 x 4 = 12     2 x 3 = 6     12 - 6 = 6     4 x 2 = 8

6 - 8 = -2     -2 - -5 = -7

Those were my answers

HELP ASAP PLEASE What is the measure of yz (the minor arc) in the diagram below? A.168 B.42 C.192 D.84

Answers

Answer:

B

Step-by-step explanation:

The measure of the tangent- chord angle XYZ is half the measure of its intercepted arc, thus

arc YZ = 2 × 84° = 168° → B

which term of the AP:3,15,27, 39,.....will be 132 more than its 54th term​

Answers

Answer:

n=65th term

Step-by-step explanation:

AP:3,15,27,39......

From the AP

a=3

a+d=15

a+2d=27

3+d=15 (1)

3+2d=27 (2)

Subtract (1) from (2)

We have,

2d-d=27-15

d=12

54th term=a+(n-1)d

=3+(54-1)12

=3+(53)12

=3+636

=639

The term is 132 more than the 54th term

132+54th term

=132+639

=771

Find the term

771=a+(n-1)d

771=3+(n-1)12

771-3=12n-12

768=12n-12

768+12=12n

780=12n

n=780/12

=65

n=12

The term which is 132 more than the 54th term is the 65th term

Five submarines sink on the same day, and all five go down at the same spot where a sixth had previously sunk. How might they all lie at rest so that each submarine touches the other five? To simplify, arrange six wooden matches so that each match touches every other match. No bending or breaking allowed.

Answers

Answer:

picture is attached

Step-by-step explanation:

there are many options but this is one

Solve the inequality

Answers

Answer:

x < 4

Step-by-step explanation:

3x - 3 < 9

3x < 12

x < 4

Answer: x < 4

Step-by-step explanation:

3x < 9 + 3

you’re going to add the two (9+3= 12) numbers.

3x < 12

Then divide both sides of the inequality by 3.

3x < 12 = x < 4.

In a local ice sculpture contest, one group sculpted a block into a rectangular-based pyramid. The dimensions
of the base were 3 m by 5 m, and the pyramid was 3.6 m high. Calculate the amount of ice needed for this
sculpture

Answers

Answer:

Step-by-step explanation:

To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as

Volume = 1/3 × base area × height

Since the base is rectangular, base area = length × width = 3 × 5 = 15 m

Given that height = 3.6m, therefore, the amount of ice needed for this sculpture is

1/3 × 15 × 3.6 = 18 m³

Answer: To calculate the amount of ice needed for this sculpture, we would apply the formula for determining the volume of a rectangular base pyramid which is expressed as Volume = 1/3 × base area × heightSince the base is rectangular, base area = length × width = 3 × 5 = 15 mGiven that height = 3.6m, therefore, the amount of ice needed for this sculpture is 1/3 × 15 × 3.6 = 18 m³

Step-by-step explanation:

what number decreased by 6 equals 3 times the number

Answers

Answer:

-3

Step-by-step explanation:

x-6=3x

2x=-6

x=-3

The required number is -3 decreased by 6 equals 3 times.

A number to be determine when decreased by 6 equals 3 times the number.

What is arithmetic?

it explores the numbers of operations according to the statements.

Let the number be x,
Now,
x-6=3x
x= -3

Thus, the required number is -3 decreased by 6 equals 3 times.

Learn more about arithmetic here:

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find the sum of the series 81-27+9......-1/27.​

Answers

Answer:

  [tex]S_8=\dfrac{1640}{27}=60\frac{20}{27}[/tex]

Step-by-step explanation:

The formula for the sum of a geometric series with first term a1, common ratio r, and n terms is ...

  [tex]S_n=a_1\dfrac{1-r^n}{1-r}[/tex]

This series has 8 terms, a common ratio of -1/3, and a first term of 81. Its sum is ...

  [tex]S_8=81\dfrac{1-(-\frac{1}{3})^8}{1-(-\frac{1}{3})}=81\dfrac{6560/6561}{4/3}=\dfrac{6560(3^4)(3)}{(4)(3^8)}\\\\\boxed{S_8=\dfrac{1640}{27}=60\frac{20}{27}}[/tex]

A grasshopper makes jumps that are either 17 or 19 cm in length, in either direction (forwards or backwards). Is it possible for the grasshopper to cover a distance of 101 cm in 100 jumps?

Answers

Answer:  No. The grasshopper cannot cover exactly 101 cm in exactly 100 jumps.

Step-by-step explanation:  

If the grasshopper makes 50 forward jumps of 19 cm and 50 backward jumps of 17 cm (in any order) the jumps total 950-850 for a net result of 100.

Changing to any other amount just gets farther away from the goal.

A system of equations yields no solution of integers.

x + y ==100

19x - 17y =101

You can try it, but the result has a decimal. This grasshopper cannot make partial jumps!

Which pair of triangles can be proven congruent by AAS theorem?

Answers

I think the answer is D.

(38x+61y)-(3x-11y) simplify this expression

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

35x + 72y

▹ Step-by-Step Explanation

(38x + 61y) - (3x - 11y)

38x + 61y - (3x - 11y)

38x + 61 y - 3x + 11y

35x + 61y + 11y

35x + 72y

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

ONE MORE well maybe 3 more LOLLL ok can u answer this dont look it up pls!!!!!!!!!! :/ thank you sm

Answers

Answer:

Hey there!

Your answer would be 1/3 (12) hours.

Since it can fill 1/12 of the tank in 1/3 hour, then in 12 1/3 hr's, the tank would be filled.

Hope this helps :)

Answer:

1/3 * 12

4 hours

Step-by-step explanation:

We can use ratios to solve

1/12 tank          1 tank

---------------- = ----------------

1/3 hour          x hours

Using cross products

1/12 x = 1/3 *1

Multiply each side by 12

12 * 1/12 x = 1/3 * 12

x = 4

4 hours

A family of two adults and three children went to a water park. Admission to the water park costs $18 per person. Nora used the expression 2 (18) + 3 (18) to model the total cost for the family, and Alex used the expression 5 (18). Which property of operations makes both of their expressions correct? associative property commutative property distributive property identity property

Answers

Answer: distributive property

Step-by-step explanation:

[tex]5(18)=2(18)+3(18)[/tex]

[tex]18(2+3) = 2* 18+ 3*18[/tex]

[tex]18*5 = 2* 18+ 3*18[/tex]

Answer: Distributive Property

Step-by-step explanation:

PLZ HELP!!!!WILL MARK BRAINLIEST AND 20 POINTS!!!

Answers

Answer: Find a common denominator on the right side of the equation

Step-by-step explanation:

You can see that they found the common denominator of 4 therefore that is the correct answer

they found a common denominator on the right side. you can see that they multiplied the numerator and denominator of c/a by 4a. so the first option is correct

I'll always give away 5 stars, thanks and Brainliest to the answer that's correct!
Naruto has a baseball card that is worth $45. The value of the card is increasing at the rate of 1.5% per year. How much will the card be worth in 15 years?
A: $366.17
B: $56.26
C: $89.21
D: $263.97

Answers

Answer:

a I believe sorry if I'm wrong

Answer:

I think its B: $56.26

An x-method chart shows the product a c at the top of x and b at the bottom of x. Below the chart is the expression a x squared + b x + c Consider the trinomial x2 + 10x + 16. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?

Answers

Answer:

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

The factored form of the trinomial = (x+2) (x+8)

Step-by-step explanation:

ax² + bx + c = 0

This is in the form of a trinomial algebraic expression

Given trinomial: = ax² + 10x + 16

Where a = 1, b= 10, c= 16

To find the pair of numbers that has a product of ac and a sum of b, we would solve the equation.

Using factorisation method:

ac = a×c = 1×16 = 16

Let's find the factors of 16 whose sum gives +10 and product gives +16

Factors of 16 = 1, 2, 8, 16

+2 + +8 = +10

+2 × +8 = +16

The factors are +2 and +8

The pair of numbers that has a product of ac and a sum of b = (+2, +8)

x² + 10x + 16 = x + 2x + 8x + 16

x² + 10x + 16 = x(x+2) + 8(x+2)

= (x+2) (x+8)

The factored form of the trinomial = (x+2) (x+8)

Answer:

(x+2) (x+8)

Step-by-step explanation:

A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch which he cannot use. He divides his usable space into four congruent rectangular patches, each of which measures

Answers

Answer:

4m X 6m

Step-by-step explanation:

This is because if there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

Because the 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

Becuase 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length. the area he will use is 4m x 6m.

What is reflexive property of congruence?

The reflexive property of congruence says that the considered geometric quantity, whether it be angle, line segment, or shape etc, is congruent to itself.

Given information; A man has a 10m X 10m square garden. In the center is a 2m X 2m square patch we need to find which he cannot use.

He divides his usable space into four congruent rectangular patches.

If there is a 2m square in the middle, there is 8 m of usable space left along both sides of the garden.

The 2m square was in the middle, there is 8/2 = 4m along each width of the 4 small rectangles.

The 4m is the width, there is 10 - 4 = 6m along each rectangle's length.

Learn more about congruent triangles here:

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Please help me i will mark,thank you!! Urgent work please answerr

Answers

Answer:

5 and 29

Step-by-step explanation:

If k= -2, l = 3, m = 4.

Then to solve

k + l + m and K^2 + l^2 + m^2 , we have to substitute the value of k, l and m with the respective values.

So for k + l + m :

k + l + m = -2 + 3 + 4 = -2 + 7 = 5

And for K^2 + l^2 + m^2:

K^2 + l^2 + m^2 = -2^2 + 3^2 + 4^2 = 4 + 9 + 16 = 29

Hope this helps

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