1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answers

Answer 1

Answer:

183 meters

Step-by-step explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

[tex]x = 24.4*750\\x=18,300\ cm\\x=183\ m[/tex]

The actual length of the Sydney Opera House is 183 m.


Related Questions

Mr Hayes has 111 straw bundles to use for bedding In his horse stalls. What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw

Answers

Answer: 27

Step-by-step explanation:

111/4= 27.75

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evaluate 1/2^-2x^-3y^5

A) -1/32
B) 16
C) -16
D)-4

Answers

Answer:

To answer this question you need to x and y

Step-by-step explanation:

5
and
4i
What is the distance

Answers

Answer:

=√41

Steps:

D=√(5-0)²+(4-0)² =  √25+16 = √41

The answer for this question is =√41

1: D=√(5-0)²

2: +(4-0)²

3:  =  √25+16

4:  = √41

Please mark brainliest

Hope this helps.

Please do quickly Thank you

Answers

Answer:

21x+4

Step-by-step explanation:

To find the perimeter you have to add up all the sides

need help!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

3/5

Step-by-step explanation:

The sine of an angle is the length of the opposite side divided by the length of the hypotenuse. In this case, that is 6/10, which can be simplified to 3/5. Hope this helps!

6/10, or 3/5. (sine is opposite/hypotenuse)

2x-4=-4x+6
What value of x makes the equation true
A x=5/3
B x=-5/3
C x=5
D x=-5

Answers

Answer: 5/3

6x = 10

x=10/6

x=5/3

Answer:

x = 5/3

Step-by-step explanation:

2x-4=-4x+6

Add 4x to each side

2x+4x-4=-4x+4x+6

6x -4 = 6

Add 4 to each side

6x -4 +4 = 6+4

6x = 10

Divide each side by 6

6x/6 = 10/6

x = 5/3

Write a polynomial function of least degree with zeros 1, -2, -3

Answers

Answer:

f(x) = (x - 1)(x + 2)(x + 3)

Step-by-step explanation:

The function would be f(x) = (x - 1)(x + 2)(x + 3).  This is of the third degree.

to thase who missed the other ones 4+5-6/7*8-7

Answers

Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

Answer:

-4 6/7

Step-by-step explanation:

4+5-6/7*8-7

Multiply and divide from left to right

4+5-48/7-7

Add and subtract from left to right

9 - 48/7 - 7

Rearrange the order

9-7-48/7

2 - 48/7

Get a common denominator

14/7-48/7

-34/7

-4 6/7

n over 24 = 15 over 18?​

Answers

Answer:

n = 20

Step-by-step explanation:

cross multiply and divide

18n = 360

n = 20

Which question should you expect to be answered with variable data?

How many seventh graders are at school today?
How tall is the Empire State Building?
What is the age of my science teacher?
In what months were my family members born?

Answers

Answer:

The correct answer is the last one.

Step-by-step explanation:

Variable data is any kind of information gathered that can be made into a chart or graph representing what was collected. In other words, the data collected must vary.

The first, second, and third answers cannot be made into a chart/graph as it would be a singular number, and not provide varying data (which is required to produce a graph/chart).

The last answer would be correct as one can create a chart as the data collected from that question would vary. For example, five family members could be born in July, six in August, and ten in October. The variable that is "varying" would be these months.

Hope this helps!

the answer is D.

here is proof

Point S(6,-2) is translated 3 units left.What would be the coordinates of the resulting point,S’?

Answers

Answer:

S'(3,-2)

Step-by-step explanation:

Match the graph to the correct inequality below.

Answers

The answer is the last one

Answer:

x > -3

Its an open dot so its not the one with the line under it.

You can rent time on computers at the local copy center for a $9 setup charge and an additional $150 for every 5 minutes. How much time can be rented for $26?

Select the correct choice below and fill in the answer box to complete your choice

A. The independent variable is time (t) in minutes, and the dependent vanable is rental cost (), in dollars. The linear function that models this situation is

(Simplify your answer. Do not include the $ symbol in your answer)

B. The independent variable is rental cost (t), in dollars, and the dependent variable is time (t), in minutes. The linear function that models this situation ist

(Simplify your answer. Do not include the 5 symbol in your answer.)

minutes can be rented for $26

(Round to the nearest minute as needed)

A linear model

reasonable for this situation

Answers

Answer:

(A) The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t +8

The time that can be rented for $26 = 1min

Step-by-step explanation:

Based on the information given:

Setup charge on Rent at local copy center = $9

an additional $150 for every 5 minutes. To determine the time that can be rented for $26, let's find the relationship between the rental cost and the time.

For every 5min = $150

For 1 min = $150/5

For t min = 150t/5

Where t = number of minutes of rental time

Rental cost = set up charge + additional cost

Let Rental cost = R(t)

R(t) = 9 + 150t/5

Writing it in form of a linear equation: y = mx + c

R(t) = 150t/5 +9

R(t) = (150/5) ×t + 9

R(t) = 30t + 9

The independent variable is time (t) in minutes, and the dependent variable is rental cost (), in dollars. The linear function that models this situation is

R(t) = 30t + 9

The time that can be rented for $26:

Rental cost = $26

R(t) = 30t +9

26 = 30t +9

26-9 = 30t

17 = 30t

t = 17/30 = 0.57

t is approximately = 1min (nearest minute)

The time that can be rented for $26 = 1min

Q: 3
^Ignore above^

Just help me again please

Answers

Answer:

d. 192 m^2

Step-by-step explanation:

just multiply length and width

Please help me ASAP!!

Answers

Answer:

[tex] \boxed{[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] } [/tex]

Step-by-step explanation:

[tex]3 \times 1 = 3 \\ \\ 3 \times ( - 4) = - 12 \\ \\ 3 \times 5 = 15 \\ \\ 3 \times ( - 7) = - 21 \\ \\ \\ = > 3.[1 \: \: \: - 4 \: \: \: \: \: \: 5 \: \: \: - 7] =[3 \: \: \: - 12 \: \: \: \: \: \: 15 \: \: \: - 21] [/tex]

please help me with question b) and please explain!!
look at the attached image

Answers

Answer:

17

Step-by-step explanation:

let x be the number of boxes to be shaded to make it 80%

x = 80% of total number

= 80/100 of 25

= 80/4

= 20

So 20 need to be shaded to fill 80%

Now, 13 of the grids are already shared so the amount of more squares that need to be shaded = 20-13

= 17 squares

8/100x25/1=200/100=2/1=2

So that means 2 more squares have to be shaded to fill 8% of the grid

So 13+2=15

You deposit $1000 in an account that pays 4 1/2% annual interest compounded monthly. How much will you have in the bank after 9 years

Answers

Answer:

1498.17

Step-by-step explanation:

formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.

r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months

n = 9 x 12 = 108 ( 9 years in months)

A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167

Answer:

Step-by-step explanation:

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

A = ?

I = $1000

r = 4.5% = 4.5/100 = 0.045

n = 12

t = 9

A = 1000(1+0.045/12)^108

A = 1000(1.00375)^108

A = $1498.17

What is $ 1.20 x 5 =? My brain is not working! LOL!

Answers

Answer:

6.25

Step-by-step explanation:

=1.20*5

=6.25

Answer:

6

Step-by-step explanation:

1.20 x 5 = 6

6/5 = 1.20

At the end of the first round of a game, Luis has a score of -5 points. At the end of the second round, he has a score of 3 points. How many points did he score in the second round? Complete this model to represent the problem: score at the end + = ? of the first round

Answers

7 points I think because -5+7 =3 therefore it should be 7

. 4/18 times 2/92. 1/9 times 3/63. 12/14 times 1/84.1/7 times 5/65. 17/20 times 1/61. 4 1/4 times 3 1/22. 3 5/6 times 4 1/23. 2 1/2 times 4 7/84.3 3/5 times 2 3/85. 3 1/2 times 3 3/8Whoever can solve at least 2 from each set is awesome!

Answers

Answer:

Step-by-step explanation:

4/18×2/92

=1/9×1/23

=1/207

1/9×3/63

=1/3×1/23

=1/69

12/14×1/84

=1/14×1/7

=1/98

1/7×5/65

=1/7×1/13

=1/91

17/20×1/61

=17/1220

4 1/4 ×3 1/22

=17/4×67/22

=1,139/88

=12 83/88

3 5/6×4 1/23

=23/6×93/23

=93/6

=15 3/6

=15 1/2

2 1/2×4 7/84

=5/2×343/84

=1715/168

=10 35/168

I have answered more than 2 from each set

m 1 = a) 40 b) 130 c)50

Answers

Answer:

C) 50

Step-by-step explanation:

You first look at the 40 given to you. Then you know the angle opposite of it will be 40 also because of the law that opposite angles are the same. Once you have two angles in the triangle you can add 40 plus 90 in which you get 130 but that does not equal 180. So you can see that angle 1 is 50 because 50 and 130 equals 180.

Find the side of to cube
whose volume is
5.832cm3

Answers

Answer:

[tex]1.8cm[/tex]

Step-by-step explanation:

Use the volume of cube formula.

[tex]\displaystyle V=s^3[/tex]

[tex]\displaystyle5.832=s^3[/tex]

[tex]\displaystyle\sqrt[3]{5.832} =s[/tex]

[tex]\displaystyle s=1.8[/tex]

Answer:

a= 1.8 cm

Step-by-step explanation:

V= a³

a= ∛Va= ∛5.832a= 1.8 cm


PLZZ HELP!!!!!!
Solve the equation, justify each step with an algebraic property: -2 = x + 28 *

x = -26, Subtraction Property of Equality
x = -30, Addition Property of Equality
x = -14, Division Property of Equality
x = -30, Subtraction Property of Equality

Answers

Answer:

The answer is [tex]x = - 30[/tex], by using the Subtraction Property of Equality.

Step-by-step explanation:

Solve for [tex]x[/tex]:

[tex]-2 = x + 28[/tex]

Turn the equation over:

[tex]x + 28 = -2[/tex]

-Subtract both sides by [tex]28[/tex] by using Subtraction Property of Equality:

[tex]x + 28 - 28 = -2 - 28[/tex]

[tex]x = -30[/tex]

So, the final answer is [tex]x = -30[/tex] .

the volume of a cylindrical container is 1500 cm cube if the base area of the container is 120 cm cube what is the height of the container​

Answers

Answer:

12.5cm

Step-by-step explanation:

The height is found in the following way:

Volume divided by Area of Cross section.

So,

1500 divided by 120 = 12.5 cm

the volume of a cylindrical container is 1500cm. if the base area of the container is 120cm. what is the height of the container​

Answers

Answer:

12.5 cm

Step-by-step explanation:

Find the height of a prism in the following way:

height = Volume divided by Area of cross section.

Substitute the values and so you have:

1500 divided by 120 = 12.5

7^2=49 in log form pls

Answers

Answer:

log7(in the baes)49=2

Step-by-step explanation:

calcule abc + bca+cab (a + b + c) =225

Answers

Answer:

Step-by-step explanation:

learn it

The diagram shows two joined rectangles. The total area of the compound shape ABCDEF is 36 cm^2. By considering the areas of the two rectangles, show that
2x^2 - 5x - 18 = 0 and hence find the value of length AB.

Answers

Answer:

The value of AB is 9/2 or 4.5

Answer:

4.5 cm

Step-by-step explanation:

The total area is the sum of areas of two rectangles:

x(x-4)+3x(x-2)=36x²-4x+3x²-6x-36=04x²-10x-36=02x²-5x-18=02x²-9x+4x-18=0x(2x-9)+2(2x-9)=0(x+2)(2x-9)=0x+2=0 ⇒ x= -2  discarded as negative2x-9=02x=9x=4.5AB=4.5 cm

The temperature in Fahrenheit is thirty-two degrees more than 1.8 times the temperature in Celsius. Write an equation for the temperature in degrees Celsius. What is the temperature in Celsius if the temperature in
Fahrenheit is 176 degrees?

Answers

Answer:

80 Degrees celsius

Step-by-step explanation:

176 - 32 = 144

144 * 100/180 = 80

Which expression is equal to -3b^4(6b^-8)? Assume b=/0

Answers

Answer:

-18 b^-4= -18/b^4

Step-by-step explanation:

-3b^4(6b^-8)

Combine coefficients

-3*6 = -18

Combine exponents since the bases are the same, x^y * x^z = x^(x+z)

b^4 *b^ -8

b^(4+-8)

b^ -4

Put back together

-18 b^-4

We also know that x^-y = 1/x^y

-18/b^4

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