Lucia measured the high school and made a scale drawing. The scale she used was 2 centimeters : 3 meters. The parking lot is 54 meters wide in real life. How wide is the parking lot in the drawing?

Answers

Answer 1

Answer: The parking lot in the drawing is 36 centimeters.

Step-by-step explanation:

Given: Actual width of parking lot = 54 meters

The scale she used was 2 centimeters : 3 meters.

i.e. 3 actual meters = 2 centimeters on drawing

⇒ 1 actual meter = [tex]\dfrac23[/tex] centimeters on drawing

⇒ 54 actual meters = [tex]54\times\dfrac23[/tex] centimeters on drawing

⇒ 54 actual meters = 36 centimeters

Hence, the parking lot in the drawing is 36 centimeters.


Related Questions

which is greater 21.798 or 217.98?​

Answers

Answer:

217.98 is greater.

Step-by-step explanation:

Think about this way. Which is the larger number, 217 or 21? 217, of course. The decimal point only adds a small fraction of a number to the whole, so it doesn't affect the value that much.

What is the leading coefficient of the polynomial function f(x)=x-2x³-4?​

Answers

Answer:

-2

Step-by-step explanation:

The leading coeefceint is the number in front if the highest degree. The highest degree is x^3 so the leading coefficient that -2.

-2 should be the correct answer

Write an equation for the line that passes through (-8.5, 11) and (5, -2.5).

Answers

Answer:

y = −x + 2.5

Step-by-step explanation:

QRST is a rectangle. Find the length of the diagonals.

QS=8x−11 and RT=4x+21

Answers

Answer: they’re both 53

Step-by-step explanation:

i just took the test and it is correct

Find the value of each variable. Write answers in simplest radical form.

Answers

Answer:

1) x = 5

2) y = 5·√2

Step-by-step explanation:

1) The given parameter of the right triangle are;

The legs of the right triangle = 'x', and 5

One interior angle of the right triangle = 45°

Therefore, buy the interior angle summation property of a right triangle, we have;

The measure of the other angle, θ = 180° - 90° - 45° = 45°

From which we have;

A right triangle with an interior angle of 45° is an isosceles triangle with both legs equal

∴ The length of the other leg, x = 5

x = 5

2) By Pythagoras's theorem, we have that the square of the length of the hypotenuse, 'y', is given as follows;

y² = x² + 5²

∴ y² = 5² + 5²

y = √(5² + 5²) = √(25 + 25) = √50 = √(25 ×2) = 5·√2

y = 5·√2 in the simplest radical form.

Use the relationship between the angles in the figure to answer the question. which equation can be used to find the value of X?

X +49-28 = 180

X -49-28 = 180

X +49+28 = 180

X +28=180

Answers

Answer:

X+49+28=180

Step-by-step explanation:

Please help... I can't fail this.

Answers

Answer:

it can consist of translations, reflections, and rotations

Step-by-step explanation:

i would say reflection, then slide right, then slide down

Please help me guys I do not know what to do at this point, but to come to yall and I really need help with this math this is due today and please I neeed you guys help I do not want to put any burden on you I am just stress thanks for understanding


Instructions: Tell weather it is a function or not and tell why

Answers

Answer:

YesYesNoNoYesYesNoYesNoNoYesNoYesNoYesYesNoYesYesNo

Step-by-step explanation:

A function does not have any repeating domains (x-coordinates).

Hope it helps!

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
Ox= -4 or x = 3
O x= -4 or x = -3
O x= -3 or x = 4
O x= 3 or x = 4

Answers

Answer:

x=-4 or x=3

Step-by-step explanation:

the property of zero in the function x2 + 12 = 7x is written all you need to do is to equate the zero product property

Answer:

Its d

Step-by-step explanation:

took the test

−3x−9y=18
4x+3y=12
​what is x and y

Answers

Answer:

x = 6 and y = -4 or (6,-4)

Step-by-step explanation:

Can someone pl help. Thx

Answers

Answer:

3.10?

Step-by-step explanation:

i dont know sorry if its wrong

5. James makes $15.50 per hour and works 40 hours a week. He pays 26% of his gross earnings in federal and state
taxes. He also saves 7.5% of his monthly gross income to put into savings. He is considering renting an apartment tha
will cost $1,400 per month. Based on his expenses, can he make the monthly payments?

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

On average, there are about 173 1/3 hours per month, so James's take-home pay will be about ...

  ($15.50/h)(173 1/3 h/mo)(1 -26%) = $1988.13

His proposed rental is about ...

  1400/1988.13 · 100% = 70.4%

of his take-home pay.

Most financial planners would recommend the percentage be well below 50%. It is unlikely James can make his proposed monthly payments.

You arrive in my class 21 seconds after
leaving math which is 78 meters away. How
fast did you travel?

Answers

Answer:

2.7 secondes a meter

Step-by-step explanation:

20.19÷4.6
Answer show your work​

Answers

There you go I hope this helps

Colin invests £2350 into a savings account. The bank gives 4.2% compound interest for the first 4 years and 4.9% thereafter. How much will Colin have after 10 years to the nearest pound?​

Answers

Answer:

£3,692

Step-by-step explanation:

First four years

A = p(1 + r/n)^nt

P = £2350

r = 4.2% = 0.042

n = 1

t = 4

A = p(1 + r/n)^nt

= 2350(1 + 0.042/1)^1*4

= 2350(1 + 0.042)^4

= 2350(1.042)^4

= 2350(1.5789)

= 2770.42

A = £2770.42

Next 6 years

P = £2770.42

r = 4.9% = 0.049

n = 1

t = 6

A = p(1 + r/n)^nt

= 2770.42(1 + 0.049/1)^1*6

= 2770.42(1 + 0.049)^6

= 2770.42(1.049)^6

= 2770.42(1.3325)

= 3691.59

A = £3691.59

Approximately £3692

True or False. Shapes that have at least one right angle also have at least one pair of perpendicular lines. Explain your thinking.

Answers

Answer:

True

Step-by-step explanation:

In geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle.

PLEASE HELP ME I NEED TO DO THIS

Answers

Answer: x = 20

Step-by-step explanation:

3x + 20 = 4x

20 = x

Find the radius of a sphere with a volume of 4.5π cubic centimeters.

Answers

1.02 is the answer to your question

How many factors are in the following expression: 3x(x + 5)(y – 3)
Options:
A- 1
B-2
C-3
D-4

Answers

Answer:

3

Step-by-step explanation:

porque es esa y xq quiero unos puntos:p

Math Exit Slip: Value-Mart is having a back -to - school sale on pencils. A pack of of 20 sells for $7.97, whereas a 12-pack costs $4.77. Which is the better buy?

Answers

Answer: The pack of 20.

Step-by-step explanation:

It is because a pack of 20 sells for 2.50 for each pencil, and the pack of 12 sells for 2.51 per pencil, so that means the pack of 20 is cheaper.

50 points Classify the expression: 5x^3 + 2x − 3
A Quadratic expression
B Linear expression
C Cubic expression
D Exponential expression
(I have an answer but I'm not so sure about it)

Answers

Answer:

C: Cubic Expression!

Step-by-step explanation:

In this equation/expression, you can look at the highest exponent which is 3, and you can also look at how many terms it has, which is 3. This makes it a 3rd degree trinomial, which makes it C, Cubic Expression!

Answer:

Cubic Expression

Step-by-step explanation:

See answer above

Divide using synthetic division (x^2 +9)÷(x-3) =​

Answers

Answer: x+3+ 18/x-3

Step-by-step explanation:

The complete division problem can be written as:

(x² + 9) / (x-3) = x + 3 + 18/(x-3)

What is the division operation?

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To divide using synthetic division, we follow these steps:

Write the dividend (x² +9) and the divisor (x-3) in the form of a long division problem, with the divisor (x-3) written on the outside and the dividend (x² +9) written inside the division brackets.

Write the coefficient of the first term of the dividend (in this case, 1) in the first row of the synthetic division. This will be the first term of the quotient.

Multiply the divisor (x-3) by the coefficient in the first row (1), and write the result (x-3) in the second row.

Add the second term of the dividend (9) to the result in the second row. The result is the coefficient of the second term of the quotient.

Repeat this process until you have found the coefficients of all the terms in the quotient.

Using this process, we can divide (x² +9) by (x-3) as follows:

The quotient is x + 3. The remainder is 18, so the complete division problem can be written as:

(x² + 9) / (x-3) = x + 3 + 18/(x-3)

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ2

Jason has 2 times as many coins as Billy and Tilly added together, Billy has 45 coins, and Tilly has 67 coins. How many coins does Jason have?

Answers

45+67=112

112*2= 224

Jason has 224 coins

PLEASE HELP!! will mark brilliant!!!!

Answers

A is I answer, I’m so sorry I don’t know the 2nd one

Answer:

I think it is A and C if I am correct how that helps

Find the value of Y

Help plz whenever you can :D

Answers

Answer:

siny=xz/yz

sin45=y/15√2

15√2×1/√2=y

y=15

How do I find the rate of change?
explain as if you were explaining it briefly to a stranger irl

Answers

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

Find the value of x in the acute scalene triangle that has the angles 114° and 37°

Answers

I would add 114 and 37 then subtract the total from 180 to get x=29

simplify a-c when a=5,c=-1​

Answers

5-(-1) or you could simplify it further to 6

Anyone can help me with math for solving for a side in the right triangles for khan academy

Answers

Answer:

7.45

Step-by-step explanation:

We are given a right triangle with one side length known and an angle know so we can use some trigonometry.

You need to find the hypotenuse so you are going to use either sine or cosine.

Since the adjacent from the angle is given (SOH-CAH-TOA) we can use cosine so,

cos(20) = 7/h

=>h = 7/cos(20)

=> 7.44924

=> 7.45

Add parentheses to make true 36 / 9 - 3 = 6

Answers

36/ (9 - 3) = 6

Cause:

9 - 3 = 6

Then:

36/6 simplified equals 6

So, your answer is 36/(9 - 3) = 6

Hope it helps! Good luck friend! :3

Answer:

36 / (9 - 3) = 6

Step-by-step explanation:

If you put the parentheses around 9 - 3, that will give you 6. 36 divided by 6 = 6. Also, in PEMDAS, Parentheses comes first, so  that is why the parentheses go there to make this true.

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