What is the actual height of the building shown in the model?

What Is The Actual Height Of The Building Shown In The Model?

Answers

Answer 1

Answer:

The actual height is 150ft

Step-by-step explanation:

Given

[tex]Width : Height = 2cm : 5cm[/tex]

[tex]Actual\ width = 60ft[/tex]

Required

Determine the actual height

Substitute 60ft for width in: [tex]Width : Height = 2cm : 5cm[/tex]

[tex]60ft:Height =2cm:5cm[/tex]

Express as fraction

[tex]\frac{60ft}{Height} =\frac{2cm}{5cm}[/tex]

[tex]\frac{60ft}{Height} =\frac{2}{5}[/tex]

Make height the subject

[tex]Height = \frac{5}{2} * 60ft[/tex]

[tex]Height = 5 * 30ft[/tex]

[tex]Height = 150ft[/tex]

Answer 2

Answer:

Step-by-step explanation:

1 cm represents 30 ft

height of building = 5 cm × 30 ft/cm = 150 ft


Related Questions

(2a^3 b^4) ^4=
What is the answer to this problem ?

Answers

Answer: 16a^12 b^16

Step-by-step explanation:

Everything in the parenthesis to the 4th power.

2a^4= 16a

3*4=12

b^4*4=b^16

Tyler and Daniel each deposited money into different banks with different savings plans. Tyler went to
Bank 1 and deposited $500. Daniel went to Bank 2 and deposited $1500. The graph above shows how
much money is in each savings account after 14 years. According to the graph, who will have more money
by year 20, and why?
Daniel, because his money is increasing exponentially.
O Daniel, because his money is increasing linearly.
O Tyler, because his money is increasing exponentially
Tyler, because his money is increasing linearly

Answers

Answer:

C

Step-by-step explanation:

Tyler, because his money is increasing exponentially.

I finished taking the test and got it right :)

The person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

What are exponential functions?

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

For example, [tex]y = a.b^x[/tex] , where a is a and b are constants is an exponential function.

How to calculate simple interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

How to calculate compound interest's amount?

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

[tex]CI = P(1 +\dfrac{R}{100})^T - P[/tex]

The final amount becomes:

[tex]A = CI + P\\A = P(1 +\dfrac{R}{100})^T[/tex]

Usually these two rates are used on money. The compound interest is exponential as it has power T as a variable, but for simple interest, there is no variable exponent.

Both are positive, and growth of exponential function is always going to surpass the growth of linear function (can be proven by derivatives).

Since we are not given the function's equation, we cannot correctly calculate the value just from graph, but as in 14 years, the blue line is already close to red line so it will likely cross it after 6 more years (thus total 20 years) because of good growth.

Thus, the person who will have more money by year 20 is given by: Option C: Tyler, because his money is increasing exponentially

Learn more about instantaneous rate of change here:

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solve (x- 4.5)/2=5.5 for x
please help asap

Answers

Answer:

x=31/2

Step-by-step explanation:

don't have steps but its right.

Answer:

x = 31/2 = 15 1/2 = 15.5

Step-by-step explanation:

(x- 4.5)/2=5.5

Multiply both sides by 2.

x−4.5=5.5×2

Multiply 5.5 and 2 to get 11.

x−4.5=11

Add 4.5 to both sides.

x=11+4.5

Add 11 and 4.5 to get 15.5.

x=15.5

Find the ratio of the similar figure (red to blue) for the perimeter and area
15
6
What is the Perimeter and area

Answers

The Answer is 16 I had this

How many negative real zeros does f(x) = x^5 - 2x^4 - 4x^3 + 4x2 – 5x + 6 have?

A. 3
B. 2
C. 1
D. 0

Answers

the answer is d. hope this helped

what is -2 x 3 i do not understand this and this is my last problem

Answers

Answer:

-6

Step-by-step explanation:

if they were both positive numbers, it would be 6. But when you multiply a negative by a positive, the answer is negative.

Answer:

-6

Step-by-step explanation:

When you multiply a positive number by another positive number, you will always get a positive number as your answer. Same thing for negative. If you multiply a negative by a negative, you will always get a positive. However, when you multiply a negative by a positive, you will always get a negative number.

Since you know this, you can multiply 2 by 3, which is 6. Because 2 is negative and 3 is positive, you know that the answer must be negative. Therefore, you add the negative symbol to 6, giving you -6.

I hope this isn't too confusing. Please let me know if you have any more questions. Good luck!

Which of the following shows the graph of y = 4^x+ 3?



Answers

Answer:

the graph of y=4 x+3 is a straight line that passes through the point (0,3) and (0

Step-by-step explanation:we can clearly see that the graph of y=4x+3 is a straight line that passes through the x and y axes at the point -0.75 and 3 respectively.hence we could also say that it is a extended line of the line segment passing through (0,3) and (-0.75,0).

The graph is plotted in the 1 ,2 and 3 quadrant.

Answer:

The graph for that would look like this

Step-by-step explanation:

Please help I’m struggling

Answers

Answer:

x = -4

Step-by-step explanation:

x= 3 is a parallel to y axis. So a parallel line to x = 3 must be parallel to y axis.

A line parallel to y axis has a generic equation: x = h. We know that the line passes to the point with has x coordinate = -4

So the equation is x= -4

Convert 5.5 feet to inches. There are 12 inches in 1 feet.

Answers

Answer:

GIVE BRAINLIEST PLZ

Answer:66

Step-by-step explanation:

5.5* 12=66

There you go

What rule is used to simplify exponents when multiplying polynomials?

Answers

Answer:

product rule

To multiply exponential terms with the same base, simply add the exponents. Simplify. The base of both exponents is a, so the product rule applies. Add the exponents with a common base

a Hyundai Accent cost $10,000 ​

Answers

thats cool to know!!!!!

Pls help i really need this​

Answers

Answer:

5/7

Step-by-step explanation:

take the basic fact 5 - 3

Answer:

5/7

Step-by-step explanation:

3/7+2/7=5/7

5/7-3/7=2/7

For every hour of exercise, Tina drinks 8 ounces of water. What is the ratio of hours to water

Answers

Answer:

1:8

Step-by-step explanation:

1 hour for every 8 ounces gives a 1:8 ratio

Answer:

8:3 would be the ratio

need some help please :)

Answers

Answer:

B) No

Step-by-step explanation:

10²+15²is not 20²

so its B

Can someone please answer these 3 questions giving brainliest

Answers

Answer:

Step-by-step explanation:

It really is just a matter of substituting the given values into the given equations.

f(x)=-3x

f(2)=-3(2)

f(2)=-6

h(a)=4a

h(4)=4(4)

h(4)=16

g(x)=x^2-1

g(8)=8^2-1

g(8)=64-1

g(8)=63

What is the percentage of 14 out of 20?
Show your thinking!

Answers

Answer:

70%

Step-by-step explanation:

14/20

Divide the top and bottom by 2

7/10

Multiply the top and bottom by 10

7*10

-----------

10*10

70/100

Percent means out of 100

70%

Answer:

70%

Step-by-step explanation:

14/20 and for a percentage it's out of 100 so 20*5 is 100. So, you would have to do 14*5 which is 70. So, it's 70%.

HELP! 100 points and brainliest

Answers

Answer:

ok

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Keisha and Angelica bought a basket of apples. Keisha bought 5
4
pounds. If together, they bought 19
4
pounds of apples, how many pounds of apples did Angelica buy?

Let A = the number of pounds of apples Angelica bought.

A bar diagram. The top bar is blank. The bottom 2 bars contain A and blank.

What is the equation that models this scenario?



How many pounds of apples did Angelica buy?

Answers

Answer:

What is the equation that models this scenario?

✔ A + 5/4 = 19/4

and

How many pounds of apples did Angelica buy?

✔ 14/4 = 7/2

Step-by-step explanation:

Hope this helps!! :)

The equation A + 5/4 = 19/4 represents the number of pounds of apples Angelica bought, and the number of apples Angelica bought is 7/2 pounds.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let A = the number of pounds of apples Angelica bought.

Then the model that represents the number of pounds of apples Angelica bought:

A + 5/4 = 19/4

A = 19/4 - 5/4

A = 14/4 = 7/2 pounds

Thus, the equation A + 5/4 = 19/4 represents the number of pounds of apples Angelica bought and the number of apples Angelica bought is 7/2 pounds.

Learn more about the linear equation here:

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pleaseeeee help me thank you

Answers

1) 3^3 * 4^3 = 12^3
2) 3^4 * 3^3 = 3^7
3) 3^4 * 4^3 = 12^12
They are all equal.

Answer:

Step-by-step explanation:

3³ × 4³ = (3×4)³ = 12³

:::::

3⁴ × 3³ = 3⁴⁺³ = 3⁷

:::::

3⁴ × 4³ = 3 × 3³ × 4³ = 3 × (3³ × 4³) = 3 × 12³ < 12¹²

I need help with #6 please.

Answers

9514 1404 393

Answer:

  6. (A, B, C) ≈ (112.4°, 29.5°, 38.0°)

  7. (a, b, C) ≈ (180.5, 238.5, 145°)

Step-by-step explanation:

My "work" is to make use of a triangle solver calculator. The results are attached. Triangle solvers are available for phone or tablet and on web sites. Many graphing calculators have triangle solvers built in.

__

We suppose you're to make use of the Law of Sines and the Law of Cosines, as applicable.

6. When 3 sides are given, the Law of Cosines can be used to find the angles. For example, angle A can be found from ...

  A = arccos((b² +c² -a²)/(2bc))

  A = arccos((8² +10² -15²)/(2·8·10)) = arccos(-61/160) = 112.4°

The other angles can be found by permuting the variables appropriately.

  B = arccos((225 +100 -64)/(2·15·10) = arccos(261/300) ≈ 29.5°

The third angle can be found as the supplement to the other two.

  C = 180° -112.411° -29.541° = 38.048° ≈ 38.0°

The angles (A, B, C) are about (112.4°, 29.5°, 38.0°).

__

7. When insufficient information is given for the Law of Cosines, the Law of Sines can be useful. It tells us side lengths are proportional to the sine of the opposite angle. With two angles, we can find the third, and with any side length, we can then find the other side lengths.

  C = 180° -A -B = 145°

  a = c(sin(A)/sin(C)) = 400·sin(15°)/sin(145°) ≈ 180.49

  b = c(sin(B)/sin(C)) = 400·sin(20°)/sin(145°) ≈ 238.52

The measures (a, b, C) are about (180.5, 238.5, 145°).


Which system of inequalities is shown?

Answers

I think c or a I’m not sure yet

Determine the lateral and total surface area of the pyramid

Answers

Answer:

where are the numbers?

Step-by-step explanation:

Answer:

Ur in collage??

Step-by-step explanation:

Im in middle school learning this!! and what r the numbers?

subtraction of fractions 7 1/4 - 2 1/8 =

Answers

Answer:

Exact form: 41/8

Decimal: 5.125

Mixed Fraction: 5 1/8

Answer:

5 1/2

Step-by-step explanation:

I'm not sure if I'm right but I did 7-2

and 1/4 is 1/2 of an 8th. You might have to wait for someone who is fully sure about the question

subtract the mixed numbers. Make sure to simplify the difference.



3 1/3 - 1 5/6 =

Answers

Answer:

1 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

1 5/6 = 11/6

20/6 - 11/6 = 9/6 = 1 1/2

Answer:

1 1/2

Step-by-step explanation:

Sara’s teacher gave her class 10 quizzes, each worth 30 marks. Sara’s marks on the test are given below.

16,15,18,16,17,4,18,19,18,15

Determine the mean, median and mode of her marks.

Answers

Answer:

The mean is 6.6

The median is 16

mode is 18

Step-by-step explanation:

I'm not sure if this is tight but yeah:)

Cherie writes an expression with 4 terms. Three of the terms are like terms. How many
terms are in the equivalent expression with the least number of terms? Explain your
reasoning.

Answers

Answer:

like terms are terms that contains same variable

The required equivalent expression with the least number of terms has 2 terms.

What is a number system?

A number system is described as a technique of composing to represent digits. It is the mathematical inscription for describing the numbers of a given set by using numbers or other characters in a uniform method. It delivers a special presentation of every digit and describes the arithmetic structure.

Here,
If three of the terms are like terms, then we can combine them into a single term. Let's say that the expression with 4 terms is:

a + b + c + d

where a, b, and c are like terms. Then we can combine them to get:

(a + b + c) + d

which is an expression with only 2 terms.

So the equivalent expression with the least number of terms has 2 terms. We can do this by combining the like terms to simplify the expression.

Learn more about the number system here:

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ABCDE~GHJDF. complete the statements

i figured out a. is angle B but i cant figure out statement 2 pls help!!!!​

Answers

Answer:

DC

Step-by-step explanation:

If you consider that we're looking at the same shape at two different scales, then we can simply look at which sides correlate with one another.

In the smaller shape, GH is in the same place as AB in the bigger one.

Similarly, the smaller shape has DJ in the same place that the larger one has DC.  This means that dC is the answer to question b.

Sandra buys stamps that cost $0.65 each she spends a total of $158.60 on the stamps. To determine how many stamps she buys, she needs to divide $158.60 by $0.65

Answers

Answer:

True

Step-by-step explanation:

When she divides both numbers, she can find out how many stamps she bought. When you solve the equation, we can see that she bought 244 stamps. We can check this by doing inverse operations. 244 x 0.65 (the price for each stamp) = 158.60

i hope that this helps you :)

Maria is fencing a rectangluar garden with 32 feet of fence. She must use all the fence material she has and must fence all four sides of the
rectangle.
Which dimensions would give her the largest area?
a
16x16
32x1
8x8
Ос
d
4x12
e
6x10

Answers

Maria is a lesbian I’m sorry but it’s true

Pls help me I will give brainliest

Answers

answer: x= 8, -8

explanation: i used the app m a t h w a y s

Answer:

x=8

Step-by-step explanation:

Hope this helps!!

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