on a blueprint, the area of a tennis court is 16.25cm². a) if the scale on the blueprint is 1cm: 4m, what is the actual area of the tennis court? b) if the length of the tennis court on the blue priny is 6.25 cm what it the actual length of the tennis court

Answers

Answer 1

Step-by-step explanation:

so,

1cm : 4m

that means the factor is 1/400 (as 1 m = 100 cm).

also to remember : 1 m² = 100cm×100cm = 10,000 cm²

the area of a rectangle is

length × width

if both dimensions are shortened by a factor (1/400) in our case :

length×1/400 × width×1/400 =

= length × width × 1/400² = length × width × 1/160,000

that means the area of the actual tennis court is

160,000 times the area of the blueprint picture :

160,000 × 16.25 = 2,600,000 cm² = 260 m²

we now know that the actual length of the tennis court is 400 times the length of the blueprint length :

400 × 6.25 = 2,500 cm = 25 m


Related Questions

A deposit earns $102 after 36 months at a simple interest rate of 5%


What is the time and total value

Answers

Answer:

285.6

Step-by-step explanation:

formula= I=PRT

i=?

p=102

r=5

t=36 months

5=0.05

102(1+(0.05x36)=285.6

Answer:

Step-by-step explanation: 276.9


4 ft
4 ft
3.5 ft
7 ft
4 ft

Answers

Answer:

The answer is 1,568 in a multiplication problem.

4 x 4 x 4 = 64

3.5 x 7 = 24.5

64 x 24.5 = 1,568

Let me know if this was not what you were looking for, I may or may not be able to change it.

The answer is 4ft so b

HELP!
An animal shelter has a total of 20 cats, dogs, and
parrots. There are at least twice as many cats as dogs
and at least 3 times as many parrots as dogs. What is the
maximum number of dogs they could have?

Answers

Answer:

The answer is 4 dogs

Step-by-step explanation:

Let the number of dogs be x

=>The number of cats = 2x

=> The number of parrots = 3x

2x + 3x = 20

=>5x = 20

=>5x ÷ 5 = 20 ÷ 5

=>x = 4

They could have the maximum number of dogs is 4 dogs.

The given is,

An animal shelter has a total of 20 cats, dogs, and parrots.

There are at least twice as many cats as dogs and at least 3 times as many parrots as dogs.

What is a maximum number?

A maximum is a unique number for a given set of data. This number can be repeated, but there is only one maximum for a data set.

Let the number of dogs be x

The number of cats = 2x

The number of parrots = 3x

2x + 3x = 20

5x = 20

5x / 5 = 20 / 5

x = 4

Therefore the are 4 dogs.

To learn more about the maximum numbers visit:

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1 2/3x=1/2
what is x?

x/2.5=1.75
what is x?

Answers

Answer:

Step-by-step explanation:

1.  12/3x = 1/2

4/1x = 1/2

4/1x = 1/2 / 4/1

1/2 x 1/4 ,  x = 1/8.

2).    x / 2.5 = 1. 75/ 1

cross multiply to get

x = 2.5 x 1.75

x = 4.375

The first one is 3/10 the second one is 35/8

In​ 2005, 12.2 out of every 50 employees at a company were women. If there are 48,744 total company​ employees, estimate the number of women.

Answers

Answer:

12000

Step-by-step explanation:

Using this information, you can make a ratio: 12.2/50 = x/48744

By simplifying this ratio you get that 50x = 594676. Dividing both sides by 50 you get about 11900, which you can round up to 12000

Answer:

11,894 women

Step-by-step explanation:

ratio of women to employees = 12.2 : 50

Let x = number of women employees to 48744 employees

12.2 : 50 = x : 48744

⇒ 12.2 / 50 = x / 48744

⇒ 0.244 = x / 48744

⇒ x = 0.244 · 48744

⇒ x = 11893.536

⇒ x = 11894 (nearest whole number)

Therefore, there are approximately 11,894 women in a company with a total of 48,744 employees

When you have coordinates of two points A(1, 2) and B(2,6) slope is:

Answers

Answer: 4

Step-by-step explanation:

Eliminate the parameter to complete the statements describing the equations
x = 3cos(t) - 2 and y = 2sin(t) + 1.
The rectangular form of this equation is
A. 4(x + 2)2 + 9(y – 1)2 = 36
B. 9(x + 2)2 + 4(y - 1)2 = 36
C. 4(x - 2)2 + 9(y + 1)2 = 36
D. 9(x - 2)2 + 4(y + 1)2 = 36
The equations represent a/an

Answers

Answer:

A

ellipse

Step-by-step explanation:

Answer:

1.) The rectangular form of this equation is (A)

.2.) The equations represent a/an (ellipse)

.

Step-by-step explanation:

Edge 2022

Find the coordinates of the midpoint of CD with endpoints C(-3,7) and D(3,-7).

Answers

Answer:

(0, 0) are the coordinates of the mid point

Step-by-step explanation:

[tex]coordinate \: of \: mid \: point \: = \\ ( \frac{x1 + x2}{2} \: \: \: \: \frac{y1 + y2}{2} ) \\ ( \frac{ - 3 + 3} {2} \: \: \: \: \: \: \: \frac{7 + - 7}{2} ) \\ ( \frac{0}{2} \: \: \: \: \: \: \: \: \frac{0}{2} ) \\ (0 \: \: \: \: \: \: \: \: \: \: \: 0)[/tex]

what is this??
i need help

Answers

Answer:

uhmm sry i dont understand too

Name the postulate that proves these two triangles congruent.

Answers

Answer:

the postulate that proves these two triangles congruent is AAA or angle angle angle.

this question is to hard

Answers

Answer:

A

Step-by-step explanation:

it aligns with the other dots, and you can do exactly 1-1

Answer:

C. (9,4.5)

Step-by-step explanation:

with each ordered pair, the y axis is half of the x axis.

Write down the irrational numbers from the following.

1/3, 0.65, square root 6, 2/5, cube root 8, pie​

Answers

As we can see the value of root 6 does not terminate after 3 decimal places. It can still be extended further. Hence, this makes √6 an irrational number.

hope it will help you..

what is the answer for this?

Answers

Answer:

0.729 cubic millimeters

Step-by-step explanation:

Here,

Length ( l ) = 0.9 mm

Base ( b ) = 0.9 mm

Height ( h ) = 0.9 mm

l = b = h = 0.9 mm = a

To find : Volume

This shape is a cube.

Formula : -

Volume of cube = a³

Volume of cube

= 0.9³

= 0.9 x 0.9 x 0.9

= 0.729 cubic milimeters

Answer:

Formula for volume of cube;

V = [tex]s^{3}[/tex]

Where 's' represents one side of a cube which is being cubed.

or

V = w · l · h

Where 'w' stands for the width, 'l' is the length, and 'h' represents the height.

For this, I'll be using the formula [tex]s^{3}[/tex].

What we know:

Width = 0.9 mmLength = 0.9 mmHeight = 0.9 mm

Use one of these sides to substitute for 's';

V = [tex]s^{3}[/tex]

V = 0.9^3 ← (The " ^ " symbol is another way of showing to the power of.)

V = (0.9 · 0.9 · 0.9)

V = 0.729 mm, the volume of this cube is 0.729 cubic millimetres.


coach wilson hopes to have no more than 15 turnovers during today's basketball game which inequality best represents this situation



Answers are A t is greater than or equal to 15. B is t is greater than 15. C is t less than 15. D is t less than or equal to 15

Answers

Answer:

it is D

Step-by-step explanation:

since he wants no more than 15

Answer:

D

Step-by-step explanation:

Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.

The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 39 gallons of water and Hank's aquarium hold 51 gallons of water. The aquarium holds two types of fish, fish A and fish B. If Marta bought 3 of fish A and 2 of fish B, and Hank bought 3 of fish A and 4 of fish B, how long is fish A and how long is fish B?

Answers

Answer: Fish A: 9 inches ; Fish B: 6 inches

Step-by-step explanation:

This can be turned into a systems of equation, where x equals the length of fish A and y equals the length of fish B:

3x + 2y = 39 → -3x - 2y = -39

3x + 4y = 51 → 3x +4y = 51

Combine: 0 + 2y = 12 → y = 6 inches.

Plug back in: 3x + 2(6) = 39 → 3x = 27 → x = 9 inches.

HELPP PLSSS!!!
Find the volume of the following objects.

Answers

Answer:

1. 314.159

2. 3,801.327

3. 1,407.433

80, 60, 45,...
Find the 9th term.

Answers

The ninth term of the series [tex]80,60,45.....[/tex]  is [tex]50[/tex].

We need to determine the relationship between the consecutive terms of the series to evaluate the succeeding terms of the series.

How to find the terms in a series?

The difference between the first and second terms is [tex]60-80=-20[/tex].

The difference between the second and the third terms is [tex]45-60=-15[/tex]

So, the difference between the third and the fourth terms will be [tex]-10[/tex]. So, the fourth term will be [tex]45-10=35[/tex].

Similarly, the difference between the eighth and the ninth terms will be [tex]-15[/tex]. So, the ninth term will be [tex]35-(-15)=50[/tex].

Thus, the ninth term of the series is [tex]50[/tex].

Learn more about series here- https://brainly.com/question/12707471

#SPJ2

please help QUICK I WILL GIVE YOU BRAINLIST

Answers

Answer:

P = 59°

Step-by-step explanation:

To turn a decimal into a percent you move the decimal 2 spaces to which direction.

Answers

Answer:

Right

Step-by-step explanation:

You move the decimal to the right to make the decimal a whole number :)

Example below:

0.25

Move 2 places to the right

25%

Have a great day!!

Please rate and mark brainiest!!

Answer: You move the decimal point two spaces to the right.

Step-by-step explanation:

Multiply by 100.

Consider nick draws 3 cards from a pack of 52 cards. What is the probability of getting no kings?

Answers

It will be 48/52 because there are 4 kings so 52-4=48

The probability of getting no kings is 0.7826

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.

The random experiment follows a hypergeometric distribution with,

N = 52 since there are 52 cards in a deck.

k = 4 since there are 4 kings in a deck.

n = 3 since we randomly select 3 cards from the deck.

x = 0 since we want no kings.

The probability of getting no kings is;

[tex]\rm = \dfrac{^4C_0 \times ^{48}C_3}{^{52}C_3}\\\\=\dfrac{1 \times 17296}{22100}\\\\= 0.78[/tex]

Hence, the probability of getting no kings is0.7826.

To know more about probability click the link given below.

brainly.com/question/11234923

Find the total amount
$20,700 at 9% compounded
semiannually for 4 years

Answers

Answer:

41,246.046 which could be rounded to .05 cents at the end.

Step-by-step explanation:

[tex]20700(1.09)^8[/tex]

we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.

hope this helps, please rate and mark as brainelst.

23
Hot dogs are sold in packages of 12. Buns are sold in packages of 8. What is
the least number of packages of buns you would have to buy if you want to
purchase an equal number of hot dogs and buns?
А 3
B 4
C5
D 6

Answers

Answer:

A) 3

Step-by-step explanation:

12 * 2 = 24

8 * 3 = 24

24 = 24

You are going to the mall with your
friends, and you have $200 to spend.
you find a store that has all jeans for
$25 and all shirts for $10. you buy a
total of 14 items. how many of each
item did you buy?

Answers

Answer:3 jeans and 11 shirts with 15 dollars leftover

Step-by-step explanation:

3x25=75

11x10=110

110+75=185

200-185=15

25x4 will make the leftover money higher, so 3 and 11

Help with any questions

Answers

1.) right triangle, as it has a right angle

2.) scalene triangle no equal sides

hope this helps

What is the slope for a line that is perpendicular to the line x = -6?

Answers

Answer:

There is not a slope perpendicular to the lie x = -6

Step-by-step explanation:

In this equation, you are given a line, x = -6.

This is in fact a line with an undefined slope. The slope for a perpendicular intersection is the opposite reciprocal of the slope.

Eg. If you have the line y = 2x

The reciprocal is y = 1/2x, the opposite means negative

So the slope that would intersect this line perpendicularly is y = -1/2x.

There is an undefined slope in this, therefore, you cannot find the slope for a line perpendicular to x = -6.

If it were an option, I would choose "no slope"

PLS PLS PLS HELP ME!!!​

Answers

Answer:

[tex]x = 180 - (37 + 53)[/tex]

is the answer

What is the value of y in the solution to the system of equations?
1 x + 2 y = 1
2x – 3y = -30
0-8
0-3
03
O 8

Answers

Answer: y = 32/7

Step-by-step explanation:

Solve the first equation for x by subtracting the 2y from the left side and getting: x = 1 - 2y.

Plug this in to the second equation: 2(1 - 2y) - 3y = -30 → 2 - 4y - 3y = -30 →

-7y = -32 → y = 32/7. Hope this helps!

Jonah's lunch cost $27.50, he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

Can some please explain and solve how to do these unit rate equations?

Answers

(1) 20:4=5:1. 80:16 16 weeks since he’s doing 5per week, and 80 divided by 5 is 16.

(2) 6:3=2:1. 10:5 It will take 5 hours because she’s walking 2km per hour, so it would take 5 hours to walk 10km.

(3) 1:20 4:80 It will take 80 minutes because 20x4=80

(4) 1:1 20:20 it will take her 20 days since she makes one craft a day and she’s making 20.

(5) 12:1 84:7 84 cakes since there is 7 days in a week. 12x7=84

If you still need help, here’s the answers

The table represents the exponential function g(x) . The graph represents the function f(x).

x g(x)
0 3
1 4
2 6
3 10
4 18
Which statement about the functions is true?


The y-intercept of g(x) is greater than the y-intercept of f(x).

The y-intercept of f(x) is greater than the y-intercept of g(x).

f(x) and g(x) share an x-intercept.

f(x) and g(x) have the same y-intercept.

Answers

The statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).

What is the Y-intercept of a Function?

The y-intercept of a function is the output value (y) of the function when the input value (x) is zero. On a graph, it would be the value of y-coordinate of the point where the line cut across the y-axis.

From the table given for function g, the value of y when x is zero is 3. The y-intercept for g(x) is 3.

From the graph given for function f, the value of the point at which the line intercepts the y-axis is 6. Therefore, the y-intercept for f(x) is 6.

Therefore, the statement about both functions that is true is: B. The y-intercept of f(x) is greater than the y-intercept of g(x).

Learn more about the y-intercept of a function on:

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