A scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown.The scale is 1 inch = 15 feet.

Write a scale that relates the area of the drawing to the area of the actual playground. Show or explain your work and write your answer in the space provided.

Answers

Answer 1

Answer:

4:9

Step-by-step explanation:

Find the area in inch first:

20 inch × 10 inch = 200 inch

Area in feet:

(20×15) + (10×15) = 450 inch

Area of the drawing : Area of the actual playground

200:450

Simplify it by dividing by 5

Last answer =4:9


Related Questions

An ipod is regularly $140 but it is on sale for 30% off the price. What is the discount? What is the sale price?

Answers

Answer:

discount: 30% sale price: $98

Step-by-step explanation:

Simply multiply 140 by 70%(0.7) to get 98

Solve 30% of blank =90

Answers

Answer:

300

Step-by-step explanation:

Let y = unknown number

30% of y = 90

⇒ 0.3 × y = 90

⇒ y = 90 ÷ 0.3

⇒ y = 300

it's 300. 90x100÷30 = 300. :)

Please verify my answer. Do this look correct to you? If not please explain

Answers

Answer:

  y = e·x

Step-by-step explanation:

The equation of a line tangent to a curve at a point is conveniently written in the point-slope form. The slope is the derivative of the function at the point. For your function, the rules applicable to products and exponential functions apply.

__

  y = (e^x)(x^2 -2x +2

  y' = (e^x)(x^2 -2x +2) +(e^x)(2x -2) . . . . . (uv)' = u'v +uv', (e^x)' = e^x

  y' = (e^x)x^2 . . . . . simplify

For x=1, the slope is ...

  y' = (e^1)(1^2) = e

__

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -e = e(x -1) . . . . . . . line with slope 'e' through point (1, e)

  y = e·x -e +e . . . . . add e

  y = e·x . . . . . . . . . . equation of the tangent line

__

Additional comment

It is often the case that ex is written when e^x is intended. We are trying to avoid that ambiguity here by writing the equation with an explicit "times" symbol.

PLEASE HELP REALLY NEED IT RIGHT NOW WILL GIVE CORRECT WORK WITH ANSWER BRAINIEST Find the area of X and show your work !!

Answers

Answer:
x=(4+5redical(17)) / 4 or
x=(4-5redical(17)) / 4
Step-by-step explanation:
The formula of the area of a rectangle is given by A=L*W
Where L: is the length of the rectangle
And W: is the width of the rectangle
In the above figure, given that:
L=2x-5
W=x
A=50
This forms the equation:
(2x-5)(x)=50
Expand it:
2x^2 - 5x = 50
We are left with the quadratic equation: 2x^2 - 5x - 50 = 0
(a=2, b=-5, c=-50)
To solve a quadratic equation we have to find it's discriminant and check whether it is <0, >0, or =0
Note:
If discriminant<0, the equation has no real root
If discriminant>0, the equation has two real roots in the form of x1=(-b-redical discriminant) / 2a
x2=(-b+redical discriminant) / 2a
If discriminant=0, the equation has one real root in the form of x=-b/2ac
Now, back to our problem:
discriminant= b^2 - 4ac
= (-5)^2 - 4(2)(-50)
= 25 + 400= 425
discriminant=425>0 so the equation has two real roots
x1=(-b-redical discriminant) / 2a
= (-(-4)-redical(425)) / 2(2)
=(4-5redical(17)) / 4
x2=(-b+redical discriminant) / 2a
=(-(-4)+redical(425)) / 2(2)
=(4+5redical(17)) / 4
So as the final answer x=(4+5redical(17)) / 4 or
x=(4-5redical(17)) / 4
HOPE THIS HELPS :)

Answer:

x = 6.40

Step-by-step explanation:

The formula to find the area of the rectangle is :

Area = Length × Width

Given that,

Area ⇒ 50

Length ⇒ ( 2x - 5 )

Width ⇒ x

So now we can write an expression like this.

Area = Length × Width

50  = x ( 2x - 5 )

And now we can solve for x.

Let us solve now by using the completing square method.

x ( 2x - 5 ) = 50

2x² - 5x = 50

First divide the whole equation by 2.

x² - 2.5 = 25

x² - 2.5 + 1.5625 = 25 + 1.5625

( x - 1.25 )² = 26.5625

x - 1.25 = ±√26.5625

x  - 1.25 = ±5.1538

So,

x = + 5.1538 + 1.25                           or        x = - 5.1538 + 1.25

x = 6.40                                                       x = -3.90

As we cannot get a negative number as a value for length,

x = 6.40

How to Crammers Rule to find k in this equation

Answers

Answer:

  k = -1/2 or 2

Step-by-step explanation:

For equations ...

  ax +by +c = 0

  dx +ey +g = 0

Cramer's Rule tells you the solutions are ...

  x = (-ce +gb)/(ae -db)

  y = (-ga +dc)/(ae -db)

In order for these equations to be consistent, the solution for any pair of them must be the same. It is sufficient for us to find 'k' such that the values of x are the same.

__

first and third equations

  x = (-1·7 +1·(k+1))/(1·7 -3·(k+1)) = (k -6)/(4-3k)

second and third equations

  x = (3·7 +1·5)/(2k·7 -3·5) = 26/(14k -15)

__

For these values to be the same, we must have ...

  (k -6)/(4-3k) = x = 26/(14k -15)

  (k -6)(14k -15) = (4 -3k)(26) . . . . . cross multiply

  14k² -99k +90 = -78k +104 . . . . . simplify

  14k² -21k -14 = 0 . . . . . . . . . . . . . put in standard form

  7(2k +1)(k -2) = 0 . . . . . . . . factor

The solutions are the values of k that make the factors zero: k=2, k=-1/2.

These equations will be consistent if k = -1/2 or k = 2.

_____

Additional comment

Using our above expression for x, we can find the value of x for the solution x = -1/2 to be ...

  x = 26/(14(-1/2) -15) = 26/(-22) = -13/11

The first equation tells us the corresponding value of y will be ...

  x +(-1/2 +1)y +1 = 0

  y = -2(x+1) = -2(-13/11 +11/11) = 4/11

For k = -1/2, (x, y) = (-13/11, 4/11).

The attached graph shows the solution for k=2.

For k = 2, (x, y) = (2, -1).

What is the area
Use 3.14 for pi
Round to the nearest hundredth

Answers

Answer: The answer is 120

Step-by-step explanation:

5x4x3=60   6x4x5+120 divided by 2= 60

                               60+60= 120

what is the mean average deviation of 5, 6, 6, 7, 9, 10, 10, 11.​

Answers

Answer:

7.8 rounding up to 8

Step-by-step explanation:

Simplify the expression 1.8(x-4.2)+x



Solve this pls

Answers

Answer:

2.8x - 7.56

Step-by-step explanation:

1.8(x-4.2) + x

= 1.8x - 1.8(4.2) + x

= 2.8x - 7.56

hope this helps!

does the activities like deforestation and disposing waste have an imapct on the life on land and life below water?

Answers

Answer:

A fully functioning forest has a great capacity to regenerate. But exhaustive hunting of tropical rainforest wildlifecan reduce those species necessary to forest continuance and regeneration. For example, in Central Africa, theloss of species like gorillas, chimps, and elephants undercuts the seed dispersal and slows the recovery.

Step-by-step explanation:

A store can buy 8 cartons of milk for $24 or 7 cartons of milk for $28.
How much less does each carton of milk cost if the store buys 8 cartons instead of 7 cartons?

A.
$1 less

B.
$2 less

C.
$3 less

D.
$4 less

Answers

Answer:

A. $1 less

Step-by-step explanation:

24 divided by 8 (unit rate) = $3

28 divided by 7 = $4

4-3=1

he table represents a linear function. A two column table with six rows. The first column, x, has the entries, negative 2, negative 1, 0, 1, 2. The second column, y, has the entries, negative 2, 1, 4, 7, 10. What is the slope of the function? –3 –2 3 4

Answers

Answer:

3

Step-by-step explanation:

Use the formula:

The slope equation using the equation of line is given as, y = mx + b, here, m is the slope and b is the y-intercept.

choose any 2 rows and plot them into the formula.

(-2)-1/(-2)-(-1) = 3

Answer: 3 or C

Step-by-step explanation:

can someone explain to me how to get 338 root 2 as the answer​

Answers

Answer:

13√2

Step-by-step explanation:

The square root of 338 is expressed as √338 in the radical form and as (338)½ or (338)0.5 in the exponent form. The square root of 338 rounded up to 5 decimal places is 18.38478. It is the positive solution of the equation x2 = 338. We can express the square root of 338 in its lowest radical form as 13 √2.

√338 = √13^2x2 = V13^2 x √2 = 13√2

13√2 = 13 x 239/169 = 239/13 = 18.385

Find the distance from home to school
(How far from Home directly to School?)

5 miles
(From Friends to School)

4 miles
(From Home to Friends house)

Answers

Answer:

√41

Step-by-step explanation:

Pythagorean Theorem:

a^2+b^2=c^2

4^2+5^2=c^2

16+25=c^2

41=c^2

√41=c

which are undefined? sec(-pi/2) csc(3pi) cot(7pi/2) csc(-3pi/2) cot(5pi/3)

Answers

Answer:

[tex]csc(3\pi ), sec(\frac{-\pi}{2})[/tex]

The Undefined term is csc(3pi) and  sec(-pi/2) .

What is Trigonometry?

The area of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

As, Cosecant is the reciprocal of sine, so the cosecant of any angle x for which sin x = 0 must be undefined, since it would have a denominator equal to 0. The value of sin (pi) is 0, so the cosecant of pi must be undefined.

Thus, csc(3pi) is undefined

and, the value of The value of cos (pi/2) is 0, so the secant of (pi)/2 must be undefined.

Thus, sec(-pi/2) is also undefined.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

PLEASE HELP! I have made a pic of it. Hope you have a nice day

Answers

A is the answer 7th graders are not likely

Which relationship is NOT a function?

HELPPP!!!!!!!!!! HELP!!!!!!

Answers

Answer:

I think that it is the one on the bottom left

Step-by-step explanation:

I am so sorry if it is wrong he he

100 POINTS PLEASE ANSWER ASAP

A building has a second floor window 27 ft above the ground. A fireman brings his 33 foot ladder to lean against the wall to reach the window.


The reference angle will be the angle formed by the ladder and the ground.


[[Word List: Adjacent, Cosine, Hypotenuse, Opposite, Sine, Tangent]]

(a) In this scenario, the ladder represents the ______ of the triangle.

(b) The height of the window is the ________ side of the triangle

(c) The correct trigonometry ratio to use for this scenario is _______.


(d) The reference angle must be between 70 and 80 degrees for the ladder to be safe to climb. Use trigonometry and solve for the reference angle to the nearest whole degree. Is the ladder safe? (show work)

(e) The ladder is adjustable in 1-foot increments. What length does it need to be in order to be safe according to part D? (show work)

Answers

The ladder makes an angle 30 degrees with the ground

Data;

Length of the ladder (hypothenuse) = 30 ft

height of the wall (opposite) = 15 ft

When the ladder reclines on the wall, it forms a right-angle triangle and we can solve it.

Using SOHCAHTOA,

We have the value of hypothenuse and opposite and we can use the sine angle of this triangle.

The ladder makes an angle 30 degrees with the ground.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

Step-by-step explanation:

Select the word in the following sentence that gives a context clue for the word diversity.

When she thought about all the different jobs and skills that were needed in the military, she thought that the soldiers must come from a wide diversity of backgrounds.

Answers

Answer:

Different

Step-by-step explanation:

Diversity is a noun that means the state or fact of being diverse; difference; unlikeliness. Variety; multiformity. A state of difference.

Here are the fuel efficiencies (in mpg) of 15 new cars.
44, 41, 27, 22, 44, 36, 18, 23, 30, 19, 32, 16, 28, 21, 42
What is the percentage of these cars with a fuel efficiency less than 32 mpg?

Answers

Answer:

[tex]60 \%[/tex]

Step-by-step explanation:

Among the 15 cars ,only 9 cars with a fuel efficiency less than 32 mpg :

27,22,18,23 , 30 , 19,16,28,21

[tex]\text{the percentage} =\frac{9}{15} \times 100=60 \%[/tex]

what is the x-intercept of the function graphed below

A. (2,0)
B. (0,6)
C. (0,2)
D. (6,0)

Answers

Answer:

A. (2, 0)

Step-by-step explanation:

The function crosses the x-axis at point (2,0). Therefore, that is the x-intercept.

hope this helps :)

Solve the equation by subtracting the appropriate number from both sides and enter the value of x below. x + 45 = 97 x = _____

Answers

Solution:

Your problem → x + 45 = 97x

x+45=97x

⇒-96x+45=0

⇒96x=45

⇒x=45/96

⇒x=15/32

A triangle has a perimeter of 51 cm. If the three sides of the triangle are n, 4n-4, and 4n-8, what is the length of each side?

Answers

Answer:

7,24,20

Step-by-step explanation:

The perimeter is simply the lengths of the sides, added up
n+4n-4+4n-8=9n-12=51 cm
9n=51+12
9n=63
n=7

plug in 7 for n to get:
7,4*7-4,4*7-8
or
7,24,20

If a person charging $36 by a quarter of the hour and worked 6hour and 30 minutes how much will they charge

Answers

Answer: 936

Step-by-step explanation:

36 x 4 = 144

$144 = 1 hour of work

so for 6 hours of work, you'd do 144 x 6 = 864

Since 30 minutes is 2 outta 4 quarters, then you'd do 36 x 2 which is 72

so 72 + 864 = 963

So 6 hours and 30 minutes would be $936

Hope this helps.

13. Solve for x.
140²
146
X =

Answers

Answer:

X=37.56

Step-by-step explanation:

A rectangular prism has a volume of 240 cubic feet. One dimension is 10 feet. What could the two other dimensions of the prism?

Answers

Answer:

6 & 4

8 & 3

12 & 2

1 & 24

Step-by-step explanation:

Any pair of numbers whose product is 24

The number 24 multiplied by 10 results in 240

Hope this helps

v=240
I=2(w)-4
H=(w-1)


v=I*w*h
240=(2w-4)(w-1)w

We then foil
(2w^2 - 6w+4)w

Lastly multiply the w

Answer: 2w^3 - 6w^2 + 4w =240

It takes 12 hours to clean the windows of a certain office building. During the
first day of cleaning, the workers were able to clean for 9 hours. If the variable
t stands for the amount of time the workers have left to clean the windows,
which of the following units could apply to this variable?

A. workers
B. hours
C. windows
D. buildings

Answers

Answer: B. hours

Step-by-step explanation:

    Let us closely look at the varible t it gives, the one we are looking at units for. "t stands for the amount of time the workers have left to clean the windows"

         "t stands for the amount of time ..."

    The only unit they give that represents time is hours, meaning the answer to your question is:

     B. hours

Pythagorean Theorem

a triangular garden is bound on with boards . one leg is 10 yards and long side is 17 yards . How long is the missing leg ? Round to the nearest 10th

I WILL MARK YOU BRAINLIEST IF ANSWERED CORRECTLY IF YOU DO NOT KNOW THE ANSWER PLS DONT COMMENT ON THIS THREAD

Answers

Answer:

? = 13. 35

Step-by-step explanation:

By using Pythagorean Theorem

= + B ²

=> 17² = P² + 10²

=> 289 = P² + 100

=> 289 - 100 = P²

=> 189 = P²

=> √189 = P

or P = 13.75

A small refrigerator is a cube with a side length of 13 inches.


Use the formula S = 6s2 to find the surface area of the cube.


The surface area of the cube is

__________ square inches.

Answers

6 x 13^2=1,014

A=1,014 in

The surface area of the cube is 1,014 square in

The length breadth and height of a sectangular box are 24 cm, 6 cm and 2cm respectevely. Find the area of largest surface of box?​

Answers

Answer:

[tex]408cmx^{2}[/tex]

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·6+24·6+24·2)= 408cm²

given:

length= 6

width= 2

height= 24

to find:

the area if the box.

solution:

[tex]a = lwh[/tex]

[tex]a = 2(wl + hl + hw)[/tex]

[tex]a = 2 \times (2.6 + 24.6 \times + 24.2)[/tex]

[tex]a = 408 {cm}^{2} [/tex]

therefore, the area of the box is 408 square centimeters.

A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?

Answers

Answer:

5 feet long and 1 foot long and vise versa.

Step-by-step explanation:

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