A building has a height of 40 feet and a length of 20 feet. On a scale drawing of the building, the height is 20 centimeters. What is the length of the building on the scale drawing in centimeters?

Answers

Answer 1

Answer:

10 centimeters

Step-by-step explanation:

For the height:

40 ft / 20 cm = 2 ft / cm

With this ratio, we find the length as follows:

2 ft / cm = 20 ft / x cm

[tex]2 = \frac{20}{x} [/tex]

[tex]2x = 20[/tex]

[tex]x = 10[/tex]

Answer 2

Answer:

10 cm

Step-by-step explanation:

Look at the answer


Related Questions

What is the base area of Box 3? x2 + x

edge

Answers

The expression of base area of box will be 4x + x²

The area of a a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. Basically, the area formula is the product of the rectangle's length and width.

Given,

Length = 4+x

width = x

height = x²+1

We have to find the expression of base area of box

Given the length, width, and height

The formula for area of rectangle is as follow:

Area of rectangle = length x width

Area of rectangle = (4+x) x (x)

Area of rectangle = 4x + x²

Hence the expression of base area of box will be 4x + x²

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For the function f(x)=|x−7|−4, evaluate f(x+1).

Answers

Answer:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

Step-by-step explanation:

To evaluate [tex]\displaystyle{f(x+1)}[/tex], substitute [tex]\displaystyle{x}[/tex] to [tex]\displaystyle{x+1}[/tex] so we should have:

[tex]\displaystyle{f(x+1) = |x+1-7|-4}[/tex]

Evaluate the expression and finally, we have:

[tex]\displaystyle{f(x+1)=|x-6|-4}[/tex]

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https://brainly.com/question/27923727 - How to find inverse and value of function

This whole page i need help on

Answers

Step-by-step explanation:

1. True

2. False

3. True

5. Falsw

6.True

7.True

8.False

10.True

15. always

17. always


A line / passes through point (-2, 5) and has the same y-intercept as
the line y-3x-4. What is the equation for the line /?

Answers

I'm assuming you meant to write y = 3x-4

We know that the y-intercept of the given line is (0,-4), so we need to find the equation of the line passing through (-2,5) and (0,-4).

The slope is

[tex]\frac{-4-5}{0-(-2)}=-\frac{9}{2}[/tex]

So, this means the equation is [tex]\boxed{y=-\frac{9}{2}x-4}[/tex]

¿A qué porcentaje anual se han impuesto Q. 8000.00 que en 32 días han producido Q. 140.00? ¿ A qué porcentaje anual se han impuesto Q. 8000.00 que en 32 días han producido Q. 140.00 ?​

Answers

Based on the amount being taxed, the period of taxation, and the tax, the annual percentage of tax is 19.96%.

What is the annual tax percentage?

Assuming this rate was x, the following formula would apply:

Annual rate/ 365 days a year x number of days x amount to be taxed = Tax amount

Solving gives:

x/365 x 32 x 8,000 = 140

701.369863x = 140

x = 140 / 701.369863

= 19.96%

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Evaluate and reduce:

Answers

The numbers that belongs in the green box=31
-5/8 + 9/2
-5+36/8
31/8
So the exact answer is 31.

Find limit (x / 3x+2) as x approach 1

Answers

Answer:

x/ 3x + 2

x approach 1

1/3 (1) + 2

1/ 5.

Question 3, please help. Very urgent and due soon!

Answers

Answer:

A = 5, B = 9, C = 6

Step-by-step explanation:

let me know if you want an explanation :))

PLEASE HELP! SHOW WORK AND/OR EXPLANATION PLEASE.
Find ‘x’ that will make the following statements true.

1. Sin (35) = Cos (x)
2. Cos (79) = Sin (x)
3. Cos (x) = Sin (2x)
4. Sin (x + 4) = Cos (4x – 9)

Answers

Answer:

1.  x = 55°

2.  x = 11°

3.  x = 30°

4.  x = 19°

Step-by-step explanation:

Trigonometric Identities

[tex]\sin(x)=\cos(90^{\circ}-x)[/tex]

[tex]\cos(x)=\sin(90^{\circ}-x)[/tex]

Question 1

[tex]\begin{aligned}\implies \sin(35) & =\cos(90-35)\\ & = \cos(55)\end{aligned}[/tex]

[tex]\implies x=55^{\circ}[/tex]

Question 2

[tex]\begin{aligned}\implies \cos(79) & =\sin(90-79)\\ & = \sin(11)\end{aligned}[/tex]

[tex]\implies x=11^{\circ}[/tex]

Question 3

[tex]\begin{aligned}\cos(x)& =\sin(2x)\\\implies \cos(x)& =\sin(90^{\circ}-x)\\\\\implies 2x & = 90-x\\3x & = 90\\x & = 30^{\circ}\end{aligned}[/tex]

Question 4

[tex]\begin{aligned}\sin(x+4)& =\cos(4x-9)\\\implies \sin(\theta)& =\cos(90^{\circ}-\theta)\\\\\implies x+4 & = 90-(4x-9)\\x+4 & = 90-4x+9\\5x & = 95\\x & = 19^{\circ}\end{aligned}[/tex]

Find the numeral preceding and succeeding each of the following numerals. Use T as the digit for 10.
a. TTO eleven
b. 100000 nine
c. 222 three

Answers

The numeral preceding and succeeding each of the following numerals.

Now, what happens when you add 1 or subtract 1 from 100 in the familiar base 10.

Adding adds 1 to the unit digit.

Subtracting 1 gives 99 because 9 is the largest digit in base 10.

So A. 100 base 8

The largest digit in base 8 is 7, so

..., 77, 100, 101,...

B. 10000 base 7

What is the largest digit in base 7?

The largest digit in base 7 is 6, so

..., 6666, 10000, 10001, ...

Next what happens when you add 1 to 509 in base 10. 9 is the largest digit in base 9, so adding 1 makes the units digit 0, and you carry a 1 to the next digit to the left:

509 + 1 = 510.

C. 305 base 6

5 is the largest digit in base 6, so

..., 304, 305, 310, ...

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The heights of the starting players on each of two basketball teams are shown in the table below.
Team A
Team B
Heights of Starters on Team A and Team B
70 in.
71 in.
72 in.
73 in.
75 in.
71 in.
68 in.
72 in.
70 in.
73 in.

Answers

Answer:

whats the question? please explain

The average car sold from Dealership A is $25,700. If the sales person receives 1.5% commission on price of car, how much commission is made on average per car sold?

Answers

Answer:

  $385.50

Step-by-step explanation:

The amount of commission is found by multiplying the commission rate by the value of the sale.

  1.5% × $25,700 = $385.50

A commission of $385.50 is made on an average car sold.

Generate the ordered pairs for y = x2 − 4 using x = −2, −1, 0, 1 and 2. Identify the corresponding graph.

Answers

The ordered pairs are ( -2,0),( -1,-3),( 0,-4),(1,-3),(-2,0).

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The ordered pairs will be calculated as:-

y = x² − 4

At  x = -2

y = ( -2)² - 4 = 4 - 4 = 0

At x = -1

y = (-1)² - 4 = -3

At x = 0

Y = 0² - 4 = -4

At x = 1

Y = 1 ² - 4 = -3

At x = 2

Y = (2)² - 4 = 0

Therefore ordered pairs are ( -2,0),( -1,-3),( 0,-4),(1,-3),(-2,0).

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Find the slope of the curve y=2/x at x=a.​

Answers

Answer:

We are given:- y=2/xWe need to find the slope of the curve at x=a.

Step-by-step explanation:

Solution,

We use the slope formula, setting x=a :

[tex] \displaystyle{{{{ \lim_{h \to0}}}} \frac{ \frac{2}{x + h} - \frac{2}{x} }{h} = \lim_{h \to0} \frac{ \frac{2}{a + h} - \frac{2}{a} }{h} }[/tex]

[tex] \displaystyle{ \lim_{h \to0} \frac{ \frac{2a - 2(a + h)}{a(a + h)} }{h} = \displaystyle{ \lim_{h \to0} \frac{2a - 2(a + h)}{ha(a + h)} }}[/tex]

[tex] \displaystyle{ \lim_{h \to0} \frac{2a - 2a - 2h}{ha(a + h)} = \displaystyle{ \lim_{h \to0} \frac{ - 2h}{ha(a + h)} }}[/tex]

[tex] \displaystyle{ \lim_{h \to0} \frac{ - 2}{a(a + h)} = - \frac{ 2}{ {a}^{2} } }[/tex]

Therefore, The slope of the curve y=2/x at x=a is -2/a^2.

Find the nature of the graph of the function y = 9x4 + 8x - 2 using end
behavior.

Answers

the end behavior is:

as x ⇒ ∞, f(x) ⇒∞as x ⇒- ∞, f(x) ⇒∞

What is the end behavior of the function?

If we have a polynomial of even degree, then the end behavior in both ends is the same one.

Particularly, in these cases (even degree) we only need to look at the leading coefficient. If it is positive, then as x tends to infinity and negative infinity, the function tends to infinity.

In this case, the polynomial is:

y = 9x⁴ + 8x - 2

Notice that the degree is 4, even, and the leading coefficient is 9 (positive).

Then the end behavior is:

as x ⇒ ∞, f(x) ⇒∞as x ⇒- ∞, f(x) ⇒∞

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need help please don't know the answer ​

Answers

The answer should be c

Which expression is equivalent to...

Answers

Answer:

p^2/r

Step-by-step explanation:

so I have shown every work in the picture attached

please let me know if this doesn't help

The price of admission at a movie theater is $6 for an adult and $4 for a child. In one day, the movie theater sold 80 tickets and made $420. How many adults and how many children bought tickets to the movie theater that day?
x + y = 80,
6x + 4y = 420
Which is a solution of the system of equations, and what does it represent?
(20, 60); 20 adult tickets and 60 child tickets
(30, 50); 30 adult tickets and 50 child tickets
(40, 40); 40 adult tickets and 40 child tickets
(50, 30); 50 adult tickets and 30

Answers

Last option: (50, 30); 50 adult tickets and 30 child tickets

What is Linear Equation?

A linear equation is an equation in which the highest power of the variable is always 1.

We have the system of equations:

x + y = 80

6x + 4y = 420

We will use elimination method to solve it:  

Multiply the first equation by -6 and then add the equations:

- 6x - 6y = -480

6x + 4y = 420  

We get:

-2y = -60

After dividing both sides by -2 we get:

y = 30

then plugging 30 in place of y into the original first equation we get:

x+30=80

Then subtracting 30 from both sides we get:

x = 50

The solution to the system is (50, 30)

Then notice the second equation 6x+4y=420 clear indicates that x represents the tickets for adults since the price for adults $6 is the coefficient of the x-term, while the price for children which is $4 is attached as coefficient in front of the y.

Thus, x=50 means there were sold 50 adult tickets. And y=30 that there were sold 30 child tickets.

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Answer:

( 50, 30)

Step-by-step explanation:

&= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} S = square numbers E = even numbers Complete the Venn diagram. E, S 4 2,6 8, 10, 12 E & = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } S = square numbers E = even numbers Complete the Venn diagram . E , S 4 2,6 8 , 10 , 12 E​

Answers

The remaining elements if Venn diagram is  S= { 4, 9}

What is Venn diagram?

A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items.

Given:

E = { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 }

S = square numbers

E = even numbers

Element in set S= { 4, 9}

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Need the answer ASAP!!!

Answers

Answer:

  y ≈ 15272.9(1.06306^x) . . . . from regression tool

  y = 15300(1.0624^x) . . . . calculated "by hand"

Step-by-step explanation:

An exponential model is one that uses the exponential function ...

  f(x) = a·b^x

to model the data. The value of 'a' is the function value when x=0, the initial value. The value of 'b' is the growth factor, the multiplier between function values for successive values of x.

__

tool

An exponential regression tool makes short work of this. Such tools are available on some calculators, apps, and spreadsheets. All that is required is entering the data into a table and invoking the tool. The one shown in the attachment tells you the model is approximately ...

  y ≈ 15272.9(1.06306^x)

__

averaging

We can average the growth rate factors a couple of different ways. When we think of "averaging," we usually think of the arithmetic mean, the sum of values divided by their number. If we average the growth rates in this way, we get ...

  average rate of growth =

  ((161/153) +(173/161) +(184/173) +(196/184) +(207/196) +(220/207))/6 ≈ 1.0624

Using the first table value as the initial value, the model formed this way is ...

  y = 15300(1.0624^x)

__

For exponential growth it may make more sense to compute the geometric mean. This is the n-th root of the product of n numbers. In this case, it reduces to the 6-th root of the ratio of the last to the first:

  average rate of growth = (220/153)^(1/6) ≈ 1.0624

This gives the same growth factor as above, hence the same model.

The second attachment shows the application of this model to the domain used in the table. We see there are some minor differences when rounding the function value to the nearest hundred.

The differences in our two models seem to arise from rounding the data values in the table to the nearest hundred.

__

summary

The values given in the table can be used in different ways to arrive at two similar, but different exponential models of the table data:

y = 15272.9(1.06306^x)y = 15300(1.0624^x)

Interestingly, the function calculated "by hand" has a very slightly better correlation with the table data. The difference in correlation coefficients is in the 6th decimal place.

If
5 , 3 = 28
9 , 1 = 810
8 , 7 = 115
6 , 2 = 48
then
7 , 5 = ?

Answers

Answer:

212

Step-by-step explanation:

Simple addition and subtraction is to be used here.

5, 3 = 28

5-3 = 2 , 5+3 = 8

9 , 1 = 810

9-1 = 8 , 9+1 = 10

8 , 7 = 115

8-7= 1 , 8+7 = 15

6 , 2 = 48

6-2 = 4 , 6+2 = 8

7 , 5 = 212

7-5 = 2 , 7+5 = 12

Answer:

212

Step-by-step explanation:

Rule

Subtract the 2nd number from the first to obtain the first digit(s) of the answer.Add the 2nd number to the 1st to obtain the last digit(s) of the answer.

5 - 3 = 2

5 + 3 = 8

Therefore: 28

9 - 1 = 8

9 + 1 = 10

Therefore: 810

8 - 7 = 1

8 + 7 = 15

Therefore: 115

6 - 2 = 4

6 + 2 = 8

Therefore: 48

7 - 5 = 2

7 + 5 = 12

Therefore: 212

Find the y-intercept.
(2x + 1)(x + 7).
(x + 3)(x + 4)
y =
([?],
all three would be pretty nice

Answers

Answer:

(0, 7/12)

Step-by-step explanation:

to find the y intercept we equate x to 0.

hence,

f(0) = 7/12

the coordinate is (0, 7/12)

Answer:

[tex](0,\frac{7}{12})[/tex]

Step-by-step explanation:

In order to find the y-intercept of an equation, simply plug in 0 for x, as that's where the y-axis is.

[tex]\frac{(2(0)+1)(0+7)}{((0)+3)((0)+4)}[/tex]

Simplify:

[tex]\frac{7}{(3)(4)}=\frac{7}{14}[/tex]

Therefore, the y-intercept for the equation is:

[tex]\frac{7}{14}[/tex]

Cylinders A and B are congruent. Cylinder A has a volume of (27pi cm^3)? and a height of 3 cm. What is the diameter of Cylinder B?
A) 3 cm
B) 6 cm
0 9 cm
D) 12 cm
E) 27 cm

Answers

I think it is c) 9cm

Which pair of angles are vertical angles?

Answers

Answer:

Vertical angles are angles opposite of each other. hope it helps

Vertical angles are always congruent . So, in this figure, ∠1≅∠3

1


3
and ∠2≅∠4

2


4

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)
(t − 7)2 = (t + 7)2 − 112

t =

Answers

Answer:

No solution

Step-by-step explanation:

Migdalia is a consultant. She works 3 days a week in the company's headquarters and 2
week at a production site.When she works at the company headquarters, she takes a bus
from work. When she goes to production sites, she uses her car and travels 52 ms
cast for using the bus is $48.00 for 10 one-way trips. The cost of using her car she
30 per mile Migdalia budgets $50 per week for travel expenses to and from work whether or not she has set aside enough money.

Answers

Since she has set aside only $50 for the trip, she hasn't set aside enough money for the trip

How to find the expenses and know if it's enough?

She works 3 days in a week in the headquarter and 2 days a week at the production site.

When she works at the company headquarters, she takes a bus to and from work. The cost for using the bus is $48.00 for 10 one-way trips.

Therefore,

each one way trip = 48 / 10 = $4.8

To and from the headquarters = 4.8 × 2 = $9.6

Hence,

Therefore,

three days cost = 9.6 × 3 = $28.8

The cost of using her car she estimates at 30 cent per mile. When she goes to production sites, she uses her car and travels 52 miles per day.  Therefore,

cost of travelling to production site in a week = 2 × (52 × 0.3) = $31.2

Hence,

cost of expenses per week = 31.2 + 28.8 = $60

Since she has set aside only $50 for the trip, she hasn't set aside enough money for the trip

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Consider the two savings plans below. Compare the balances in each year after 14 years. Which person deposited more money in the plan? Which of the two investment strategies is better?

Yolanda deposits $250 per month in an account with an APR of 4%, while Zach deposits $3000 at the end of each year in an account with an APR of 4%

Answers

The balance in Yolanda's saving plan after 14 years is; $9,455.36

How to calculate future value?

We want to find the balance in Yolanda's saving plan after 14 years.

For Yolanda;

PV = 0

PMT = 250

i% = 4%/12 = 0.33%

N = 14 yrs * 12 = 168

FV = ?

For Zach:

PV = 0

PMT = $3300

i% = 4%

N = 14 yrs

FV = ?

From online future value calculator, we have;

Yolanda FV = $9,455.36

Zach FV = $47,204.19

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92÷9−5=913 find value of p

Answers

Answer:

which p? there isn't any p in above equation

Help I have no idea to do this!! I’m stuck!

Answers

Answer: 7

Step-by-step explanation:

[tex]A \cap C[/tex] denotes the intersection of A and C, or in other words, how many elements are shared between them.

The number of elements is 2 + 5 = 7

the answer is 7
hope that helps !

PLEASEEEEEE PLEASEEEEEE HELPPPPPPPPP!!!

Create a word problem that can be represented by this mathematical statement and
solve your problem.

12! / 3! 9!

Answers

should i create the world problem with 12 3 and 9?

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