A scale drawing for a plot of land is shown below.
In the drawing, 3 cm represents 5 m.
Assuming the backyard is rectangular, find the area of the real backyard.

Answers

Answer 1

Answer:

area=150cm square

Step-by-step explanation:

l=3 cm ,b=5m=50cm

area of rectangle=3×50

area=150cm square


Related Questions

What is 5c - 3d - 12c + d - 6 written in simplest form

Answers

Answer:

the answer is -7c - 2d - 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

brainly, please?

The required simplest form of the given expression is given as -7c -2d -6.

Given that,
To determine the simplest form of the given expression 5c - 3d - 12c + d - 6.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
= 5c - 3d - 12c + d - 6
Adding alike terms,
= -7c -2d - 6

Thus, the required simplest form of the given expression is given as -7c -2d -6.

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A polling company is trying to estimate the percentage of adults that consider themselves happy. A confidence interval based on a sample size of 180 has a larger than desired margin of error. The company wants to conduct another poll and obtain another confidence interval of the same level but reduce the error to one-third the size of the original sample. How many adults should they now interview

Answers

Answer:

They should interview 1620 adults now.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

z wont change, neither will [tex]\sigma[/tex]

We want to increase n as such the margin of error is reduced to one third.

We have that the margin of error is inversely proportional to the square root of the size of the sample, which means that for the margin of error to be reduced to one third, the sample size has to be multiplied by [tex]3^2 = 9[/tex]. So

180*9 = 1620

They should interview 1620 adults now.



The room number of the a computer lab is a perfect
square. It is not even, but it is a multiple of 3. The
room number is either 25, 27, 36, or 81. Which one is
it?

Answers

Answer:

81

Step-by-step explanation:

25 and 27 are not perfect squares so they can not be the answer.

36 and 81 are both multiples of 3, but only 81 is not even, so the answer is 81

What is the probability of picking a rod marble at
random?
What is the probability of picking'a red marble at
random, and without replacing it, then picking a blue
one?

Answers

Answer:

1) 7/12

2) 35/132

Step-by-step explanation:

1) 7/12

2) 7/12x5/11=35/132

A store pays $15 for a baseball cap. The percent
markup is 60%. What is the selling price?

Answers

Answer:

$25

Step-by-step explanation:

Simply by using long division, this can be solved. Change 60% into its decimal form (0.6,) and divide 15 by 0.6.


Learning Task 3: In your answer sheet, write the letter of the correct answe
1. Which is a polynomial function?
Plx) = 2x3 + 32 - 4x + 4
c. c. G(x) = 2x-3 +5
B. H2) = 4x1/2 - 3x 4
D. F lrl = 2x3-5x + 3
3x2​

Answers

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

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choose the point slope form of the equation

Answers

Answer:

Step-by-step explanation:

y+3=1/2(x-6)

Amani is trying to find the value of the 4th coefficient in the 10th row of Pascal's Triangle. Which of the following could be the binomial that Amani is trying to expand?

Answers

Answer:

Step-by-step explanation:

all of the numbers in the nth row are coefficients in the expansion of (a+b)^n

Answer:

(2x+3)10!

Step-by-step explanation:

The ratio of soccer balls to volleyballs in the coach's bag is 10 to 6. If there are 20 soccers balls in the bag how many volleyballs are in the bad?

Answers

Answer:

12

Step-by-step explanation:

10 x 2 is 20

6 x 2 is 12

1. Lois has 10 coins in quarters and dimes in their pocket. After counting, the total value is $1.45. How many of each coin did Lois have?

Answers

Answer:

5 quarters and 2 dimes

Step-by-step explanation:

5 quarters make 1.25 + 10 cents = 1.45

Answer: she had five quarters and 2 dimes

Step-by-step explanation:

The population of a bacteria colony increased by p% each day for 4 days in a row.
The final population after 4 days was 5.0625 times the original population. What is p?

Answers

Answer:

Step-by-step explanation:

(1+p)^4 = 5.0625

1+p = 5.0625^0.25 = 1.5

p = 0.5

Write the first 3 terms of the sequence 2+3

Answers

Answer:

5,10,15?

Step-by-step explanation:

???

Need help with math who is up points and brainlest for you !!

Answers

X=8 because on the small right angle it says 3 so I don’t know if they have doubled it to make 6 on the other shape so that is my guess

Answer:

8ft

Step-by-step explanation:

Use similarity and congruence

AB/ED=AC/EF

3/6=4/X

CROSS MULTIPLICATION

3X=6*4

3X=24

X=8ft

Why doesn't the SSA triplet guarantee triangle congruence?​

Answers

Answer: Because Knowing only side-side-angle (SSA) does not work because the unknown side could be located in two different places. Knowing only angle-angle-angle (AAA) does not work because it can produce similar but not congruent triangles.The AS.S Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILY congruent. And The SSA (or AS.S) combination deals with two sides and the non-included angle. This combination is humorously referred to as the "Donkey Theorem". SS.A (or AS.S) is NOT a universal method to prove triangles congruent since it cannot guarantee that the shapes of the triangles formed will always be the same.

Step-by-step explanation:

hope this helps have a great night ❤️❤️❤️❤️

Need help with math questions. :) Please help me answer them... I will give brainless

Answers

5.) red: slope is -2 and y-int is 1
Blue: slope is 1/2 and y-int is 3
Green: slope is -2/3 and y-int is -4

Answer:

7.)

a. y = -3x+3

b. y = 3x + 4

c. y = x + 3 (not sure about this one)

8.)

x = 63

y = 6

6.)

left an attachment (not sure about the growth triangle though)

5.)

Red Line - slope = -2

                 y-in = 1

Blue Line - slope = (1/2) or 0.5

                  y-in = 3

Green Line - slope = (-2/3) or 0.667

                    y-in = -4

Step-by-step explanation:

Sorry it took me so long

What is the probability of rolling a standard six sided number cube to a number with 3 letters in the spelling of that number?
A) 1/6
B) 2/6
C) 3/6
D) 4/6

Answers

The answer Is c bc u got 6 slides number cubes and number with three letters

Answer:

C because six, one and two all have 3 letters in the spelling

help me me me me pls

Answers

Answer:

"C" is the answer to that question

Answer:

C

Explanation:

Because I say so

Name another ordered pair that is on the graph
of the equation represented by the table.

HELP MEH ASAP PLS PLZ PLZ

Answers

Answer:

(5,30)

Step-by-step explanation:

That is the constant change in the y's as the x's increase by 1?

12 - 6 = 6

18 - 12 = 6

24 - 18 = 6

The common difference is 6 so the next coordinate will be 6 more on the y and 1 more on the x.

(5,30)

What is x? I’ll make you the brainliest

Answers

Answer:

48

Step-by-step explanation:

If EG=8, OE=4

x/12=4

x=4(12)

x=48

If p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r

Answers

p:q = ⅔:3
p/q = 2/9 = 6/27

p:r = ¾:½
p/r = 3/2 = 6/4

p:q:r = 6:27:4

What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number

I prefer you 100% know the answer and not “think” this is very important!!

Answers

A because it would be y divided by 4 and you would solve for what y is

Answer:

a

Step-by-step explanation:

Subtract. −5−(−9)−3
−17
−7
1
I don't know.​

Answers

Answer:

-87

Step-by-step explanation:

Answer:

-87

Step-by-step explanation:

hi
i need help!
please and thank you!

Answers

Answer: y=0.25

Step-by-step explanation: 1.2 / 4.8 = 0.25

The height h(n) of a bouncing ball is an exponential function of the number n of bounces.

One ball is dropped and on the first bounce reaches a height of 6 feet. On the second

bounce it reaches a height of 4 feet.

PLEASE HURRY

Answers

Answer:

The height of a bouncing ball is defined by [tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex].

Step-by-step explanation:

According to this statement, we need to derive the expression of the height of a bouncing ball, that is, a function of the number of bounces. The exponential expression of the bouncing ball is of the form:

[tex]h = h_{o}\cdot r^{n-1}[/tex], [tex]n \in \mathbb{N}[/tex], [tex]0 < r < 1[/tex] (1)

Where:

[tex]h_{o}[/tex] - Height reached by the ball on the first bounce, measured in feet.

[tex]r[/tex] - Decrease rate, no unit.

[tex]n[/tex] - Number of bounces, no unit.

[tex]h[/tex] - Height reached by the ball on the n-th bounce, measured in feet.

The decrease rate is the ratio between heights of two consecutive bounces, that is:

[tex]r = \frac{h_{1}}{h_{o}}[/tex] (2)

Where [tex]h_{1}[/tex] is the height reached by the ball on the second bounce, measured in feet.

If we know that [tex]h_{o} = 6\,ft[/tex] and [tex]h_{1} = 4\,ft[/tex], then the expression for the height of the bouncing ball is:

[tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex]

The height of a bouncing ball is defined by [tex]h(n) = 6\cdot \left(\frac{4}{6} \right)^{n-1}[/tex].

Answer:

9 (2/3) ² but insted of 2 its n

Step-by-step explanation:

[2.(9 – 8)]3 – 4 + 3


What is the answer

Answers

Answer:

5

Step-by-step explanation:

calculate (2(9-8))X3-4+3 then calculate the product (2X1)x3-4+3 then you multiply 2x3-4+3 after that you calculate 6-4+3 and you get 5

Answer:

5

Step-by-step explanation:

[2 x ( 9 – 8 )] x 3 – 4 + 3

[2 x ( 1 )] x 3 – 4 + 3

2 x 3 - 1

6 - 1 = 5

In a data set with a normal distribution, the mean is 98 and the standard deviation is 12. About what percent of the data lie between 74 and 122?

Answers

Answer:

B. 95%

Step-by-step explanation:

The mean is in the middle and standard deviation is 12. So subtract 12 from 98 until you get to 74. That's two times. And two times/spaces to the left and right is 95% of the data.

The confidence interval is 95.45% of the data in the data set with a normal distribution

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

With a 95 percent confidence interval, you have a 5 percent chance of being wrong. With a 90 percent confidence interval, you have a 10 percent chance of being wrong. A 99 percent confidence interval would be wider than a 95 percent confidence interval

Confidence Interval CI = x + z ( s/√n )

where x = mean

z = confidence level value

s = standard deviation

n = sample size

Given data ,

To find out what percent of the data lie between 74 and 122 in a normal distribution with a mean of 98 and a standard deviation of 12, we can use the empirical rule, also known as the 68-95-99.7 rule, which states that:

Approximately 68% of the data falls within one standard deviation of the mean

Approximately 95% of the data falls within two standard deviations of the mean

Approximately 99.7% of the data falls within three standard deviations of the mean

Based on this rule, we can estimate the percentage of data that lies between 74 and 122 as follows:

Calculate the z-scores for 74 and 122 using the formula: z = (X - mean) / standard deviation

For 74: z = (74 - 98) / 12 = -2

For 122: z = (122 - 98) / 12 = 2

Find the area under the normal curve between these two z-scores using a standard normal distribution table or a statistical calculator.

The area between z = -2 and z = 2 represents the percentage of data that lies between 74 and 122.

Using a standard normal distribution table, we can find that the area between z = -2 and z = 2 is approximately 0.9545 or 95.45%.

Hence , about 95.45% of the data in the data set with a normal distribution would be expected to lie between 74 and 122.

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ABCD∼EFGH
The value of x is

Answers

Answer

didn't know there was an image

plis ayuda que tenga explicación y respuesta pero plissss ayuda ​

Answers

Answer:

3/4a-1/3b

OR

-1/3b+3/4a

Step-by-step explanation:

copy this and translate it, because I can't talk this language

add like terms 1/2a+1/4a=2/4a+1/4a=3/4a

then you write -1/3b itself because it don't have like terms

the final answer will be:

3/4a-1/3b

OR

-1/3b+3/4a

6x-1 + 4X+21 = 50 solve for x

Answers

Answer:

x=3


Explanation:

First what you do is move x to one side and the rest of the numbers to another while changing the sign from + to - or - to + like this
6x+4x= 1+-21+50

Then you do the equation on 1 side
6x+4x=30

And then the other but add them like x is not there
10x=30
Your final result should be
X=3

Answer:

x = 3

Step-by-step explanation:

First you want to add the numbers.

6x - 1 + 4x + 21 = 50

6x + 20 + 4x = 50

Then you want to combine like terms

6x + 20 + 4x = 50

10x + 20 = 50

Then subtract 20 from BOTH sides of the equation

10x + 20 = 50

10x + 20 - 20 = 50 - 20

After, simplify.

10x = 30

Then divide BOTH sides of the equation by the same term

10x / 10  = 30 / 10

Simplify ..

x = 3

And your answer is going to be x = 3! Hope this helps! :)

2squared minus 4squared plus 1 plus 7 squared can you find the answer​

Answers

2²-4²+1+7²

we should solve the numbers with exponents :

4-16+1+49 = -12 + 1 + 49 = -11 + 49 = 38

pls give me brainliest

Other Questions
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