Find the area of a rectangular garden plot that measures 21 ft by 25.2 ft. Report with the correct number of significant digits.

Answers

Answer 1

The area of a shape is the amount of space it occupies.

The area of the garden is 529.2 square feet

The given parameters are:

Shape: Rectangle

Dimension: 21ft by 25.2ft

The area of a rectangle is:

[tex]\mathbf{Area = Length \times Width}[/tex]

So, we have:

[tex]\mathbf{Area = 21 \times 25.2}[/tex]

[tex]\mathbf{Area = 529.2}[/tex]

Hence, the area of the garden is 529.2 square feet

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Related Questions

How many zeros will be in the product of 5 x 105 = ________? Explain how you know.

Answers

Answer:

The is zero 0's in the answer. The way I know is that I put it into an equation, and started solving. I started off by multiplying 5x5=25. Next I noticed the next number I multiply 5 by is 0, so the next value will be 2 because the 2 from 25 was carried over. Finally I multiplied 100x5=500. And 500+25=520.

Step-by-step explanation:

   2

  105

x     5

  525

Combine the like terms to create an equivalent expression:
-32-2

Answers

Answer:

-34

Step-by-step explanation:

Combine like terms

Hope this helped! Have a great day!!

please help me?

please and thank you!

Answers

Answer:

-1/12

Step-by-step explanation:

change divide sign to multiply by reciprocating

46. Mean of n observations is š. If each of these
observations is increased by 1, 2, 3, 4...n, respec-
tively, then what will be their mean?

Answers

Answer:     S+0.5(n+1)

==============================================================

Explanation:

Consider the set

[tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex]

which has n items in it. We don't know anything about any individual item, but what we do know is that the mean is S.

So,

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\S = \frac{x_1+x_2+x_3+\ldots+x_n}{n}\\\\nS = x_1+x_2+x_3+\ldots+x_n\\\\x_1+x_2+x_3+\ldots+x_n = nS\\\\[/tex]

In short, the sum of the values [tex]\left\{x_1,x_2,x_3,\ldots,x_n\right\}\\\\[/tex] is exactly nS, where S is the mean of the same set.

------------------------

Next, we add 1 to [tex]x_1[/tex], add 2 onto [tex]x_2[/tex], etc to form this new set

[tex]\left\{x_1+1,x_2+2,x_3+3,\ldots,x_n+n\right\}\\\\[/tex]

Let's find the mean like so

[tex]\text{mean} = \frac{\text{sum of values}}{\text{number of values}}\\\\\text{mean} = \frac{(x_1+1)+(x_2+2)+(x_3+3)+\ldots+(x_n+n)}{n}\\\\\text{mean} = \frac{\left(x_1+x_2+x_3+\ldots+x_n\right)+\left(1+2+3+\ldots n\right)}{n}\\\\\text{mean} = \frac{nS+0.5n(n+1)}{n}\\\\\text{mean} = \frac{n(S+0.5(n+1))}{n}\\\\\text{mean} = S+0.5(n+1)\\\\[/tex]

which is why S+0.5(n+1) is the answer

------------------------

Let's look at a concrete example.

Consider the set {1,7,10} which has n = 3 items in it.

Its mean is,

S = (1+7+10)/3 = 18/3 = 6

Now increase the items in {1,7,10} by adding on the values {1,2,3} to each element in the order shown

1+1 = 2

7+2 = 9

10+3 = 13

So {1,7,10} becomes {2,9,13}

The mean of the new set {2,9,13} is...

mean = (2+9+13)/3 = 24/3 = 8

Notice how,

newMean = S + 0.5(n+1)

newMean = 6 + 0.5(3+1)

newMean = 8

which helps us see how the formula works and partially confirm the answer. While this example isn't definitive proof, it's still handy to go over. I recommend forming other sets to check to see that this formula works. Not only do I recommend trying different values, but also a different number of values as well (i.e. increase n to some larger integer).

one to one functions

Answers

Answer:

f(x) = x + 1 is an example

Step-by-step explanation:

This is a one to one function because when you put in an input there would be a different answer for each number put in.

A way to find out if something is a one to one function is by using the horizontal line test.

Hope this helps

Photo above really need help

Answers

Answer:

I think it is 1/2

Step-by-step explanation:

rise/run

you go up 1 unit and you move 2 units to the side.

Scott’s family has cats and birds as pets. Scott counted the total number of legs his pets have. Scott counted 30 legs total. If Scott’s family owns 3 birds, how many cats do they own?
Show how you solved it!!!!

I need this as soon as possible!

Answers

Each and every bird has 2legs(Scientific truth)

3birds would have=2(3)=6legs

Cats have:-

30-6=24legs

Each cat has 4legs.

Total cats:-

[tex]\\ \sf\longmapsto \dfrac{24}{4}=6cats[/tex]

Find the slope-intercept form of the line passing
through the point (8,7) and parallel to the line
y = - 2x - 5.

Answers

Answer:

y = -2x + 23.

Step-by-step explanation:

If the line is parallel to

y = -2x - 5,

that means it has the SAME SLOPE. Parallel lines have the same slope, but they could have different y-intercepts.

The slope intercept form is:

y = mx + b.

m = slope.

b = y intercept.

In this case, the slope is -2.

So we know the answer will have a slope of -2.

So we can write:

y = -2x + b.

We just have to finish the answer by replacing "b" with a number.

To find out what "b" is, we plug in the point (8,7).

To plug this point in, we replace "x" with 8 and "y" with 7.

7 = -2(8) + b.

7 = -16 + b.

Now to get b by itself to solve for b, we have to add 16 to both sides.

7 + 16 = b.

b = 23.

So our final answer is: y = -2x + 23.

tom works for a company his normal rate of pay 15 per hour

Answers

The amount earned by Tom is the product of the rate per hour and the number of hours worked which is $90.

The amount earned per hour = $15

The number of hours worked = 6 hours

The amount earned at the normal earning rate can be calculated thus :

Normal rate per hour × number of hours

Amount earned = $15 × 6 = $90

Therefore, the amount earned by Tom after working for 6 hours at the normal rate is $90.

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The total pay Tom earn for working 11 hours is £185

Given that Tom is paid £15 if he works for less than 7 hours and then paid 1 1/3 times his normal salary if he works more than 7 hours.

Given that he works for 11 hours, hence:

Pay for the first 7 hours = £15 × 7 hours = £105

Pay for the overtime = 1 1/3 × £15 × (11 - 7) = 4/3 × £15 × 4 = £80

Total pay = £80 + £105 = £185

Hence the total pay Tom earn for working 11 hours is £185

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guys pls help me!!!!!!

Answers

Answer:

144

Step-by-step explanation:

Because 180-36=144 btw you just need to do 180-the number than you will get the answer

From the fig. find the angle which is equal to 110˚.

Answers

Answer:x° ^56

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

They are congruent angles

21 people travelled to a meeting.
12 used a train.
6 used a car.
7 did not use a train or a car.
Some used a train and a car.


Two people are chosen at random from those who used a train.
Find the probability that both these people also used a car.

Answers

Answer:

answer = 1/11

Step-by-step explanation:

The addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

The probability that both these people also used a car given that both of them use a train is 1/11.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The number of people who used the train and the car.

P (T U C) = 21 - 7 = 14

P(T) = Probability of the number of people who used the train = 12

P(C) = Probability of the number of people who used the car = 6

From the addition rule of probability.

P (T + C) = P(T) + P(C) - P(T ∩ C)

14 = 12 + 6 - P(T ∩ C)

P(T ∩ C) = 12 + 6 - 14 = 18 - 14 = 4

Now,

Two people are chosen.

P(C/T):

= P(T ∩ C) / P(T)

= [tex]^4C_2[/tex] / [tex]^{12}C_2[/tex]

= (4 x 3 / 2) / (12 x 11 / 2)

= 6 / 6 x 11

= 1/11

Thus,

The probability that both these people also used a car given that both of them use a train is 1/11.

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#SPJ2

Write the equation of the specified graphs below. ​

Answers

Answer:

Given are the transformations of the square root function:

f(x) = [tex]\sqrt{x}[/tex]

Line a, translation to the left:

f(x) = [tex]\sqrt{x+3}[/tex]

Line b, reflection over x-axis, translation to the right and up:

f(x) = [tex]-\sqrt{x-2}+1[/tex]

Line c, translation to the left and down:

f(x) = [tex]\sqrt{x+3}-2[/tex]

Line d, reflection over x-axis, translation down:

f(x) = [tex]-\sqrt{x} -3[/tex]

Isolating for a variable
A = 2πrh solve for r

Answers

Answer:  r = A ÷ 2πh

Step-by-step explanation:

Since           A = 2πrh       [divide both sides by 2πh]

⇒   (A ÷ 2πh)  = r

13. Is the sum of the areas of two
squares equal to the area of a large square
if the side lengths of the squares are 8 feet,
5 feet, and 3 feet? Note that the area of
a square is s2 where s is the side length explain

Answers

Answer:

multiply ata gagawin dyan Ewan

Drag the tiles to the correct boxes. Not all tiles will be used.
Determine which steps are used to find the product shown. Put the steps in the order in which they would be performed.

Answers

Factorization of the given polynomial to find the product is as follows;

Factorizing;

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} = \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

[tex]\dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)}[/tex]

Expressing the product in terms of the factors

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4} = \dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

The steps arranged in the order in which they would be performed are;

First step;

[tex]\dfrac{x^2 + 3*x +2}{x^2+ 6*x + 5} \times \dfrac{x^2 + 7*x +10}{x^2+ 4*x + 4}[/tex]

Second step (factorizing)

[tex]\dfrac{(x + 2) * (x + 5)}{(x + 2)*(x + 2)} \times \dfrac{(x + 1) * (x + 2)}{(x + 1)*(x + 5)}[/tex]

Third step (dividing out common terms)

[tex]\dfrac{(x + 5)}{(x + 2)} \times \dfrac{(x + 2)}{(x + 5)}[/tex]

Fourth step (rearranging and removing terms that cancel each other)

1

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An ice cream factory makes 375 quarts of ice cream in five hours.
How many quarts could be made in 15 hours

Answers

Answer:

1125 quarts

Step-by-step explanation:

5 hrs = 375 quarts

15 hrs = x quarts

5*3 = 15

375*3 = x

375*3 = 1125

1125 quarts

Solve for x in terms of h and k:
2(2x - h) - k = 6
Brainliest if correct

Answers

answer

x=3/2+1/2h+1/4k

Find the line's slope and a point on the line.​

Answers

Answer:

done.

Step-by-step explanation:

yeah+ya .... right?

work out: 2+3+4+5 (2+3+4+5)​

Answers

Answer:

2+3+4+5(2+3+4+5)=79

Step-by-step explanation

2+3+4+5×2+3+4+5=79

Therefore the answer is 79

what is the answer to 8s-11s+6

Answers

Answer:

-3s + 6

Step-by-step explanation:

Combine like terms. Like terms are terms with the same amount of the same variables. In this case:

8s - 11s + 6

(8s - 11s) + 6

-3s + 6

-3s + 6 is your answer.

~

Answer:

-3s + 6

Step-by-step explanation:

In order to find the answer you need to combine like terms. When you combine like terms you need to combine integers that have the same variable in this case 8 and 11 need to be combined due to the fact they both have the variable s.

8s - 11s + 6

(8s - 11s)

(8s - 11s) + 6

8s + -11s = -3s

= -3s + 6

Hope this helps

Maria wants to buy a pair of shoes for $22.50 and a shirt for $13.50. If the sales tax rate is 8.25%, what will be the amount of sales tax on Maria’s purchase?

Answers

Answer:

$2.97

Step-by-step explanation:

- add together the prices of the items; 22.50 + 13.50 = 36

- multiply the total by the tax; 36 x 8.25% or 36 x 0.0825 = 2.97

- The total sales tax is $2.97

The mean of first ten natural numbers is
a) 55 b) 5.5 c) 6.5 d) 65

Step by step explanation

Answers

The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Their sum is 55 .

Their mean (average) is (55/10).

That's 5.5 . (Choice b).

Juan quiere saber el área de sus dos terrenos realiza las operaciones correspondientes 7 enteros un cuarto 9.50 m dos enteros 3/4 m​

Answers

El área de las tierras de Juan es el producto del largo y ancho de cada pieza, por lo que el área de sus tierras son 19.9375 m² y 90.250 m² respectivamente.

El Área de las tierras de Juan se puede calcular así:

Área = largo × ancho

Tierra 1:

Dimensión = 7 ¼ metros por 2 ¾

Área de terreno 1 = 7 ¼m × 2 ¾m = 19.9375 m²

Tierra 2:

Dimensión = 9,50 metros por 9,50 metros

Área de tierra 2 = 9.50 × 9.50 = 90.250 m²

Por tanto, la superficie de los terrenos de Juan es de 19,9375 m² y 90,250 m² respectivamente.

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Jamal bought a package of 50 water balloons and used 35 of them with his friends. What percent of the water balloons did Jamal use?

Answers

Answer:

70%

Step-by-step explanation:

Math

Answer:

70%

Step-by-step explanation:

HOW TO:

To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign.

Figure Out:

50 = 100%

25 = 50%

Therefore, the only legible solution would be 70%

PLS HELP I'LL DIRECTLY MARK YOU BRAINLIST!!!

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

Perimeter of the first triangle :

[tex] \longmapsto(x - 4) + (x - 5) + 5 \\ = x - 4 + x - 5 + 5 \\ = \boxed{2x - 4}[/tex]

Perimeter of the second triangle :

[tex] \longmapsto(x - 10) + 10 + 16 \\ = x - 10 + 10 + 16 \\ = \boxed{x + 16}[/tex]

Now, it is given that the two triangles have same perimeter

So equating the value of the perimeter of the two triangles, we get

[tex] 2x - 4 = x + 16 \\2x - x = 16 + 4 \\ \boxed{ x = 20}[/tex]

Therefore, the value of x is 20

x = 20 is the right answer.

2x+7y=3 and x=-4y with substitution ?

Answers

Answer:

x=12

y=-3

Step-by-step explanation:

Because we already know what the value of x, we can use that value, -4y, to substitute it into the equation 2x+7y=3.

2(-4y)+7y=3   Simplify.

-8y+7y=3

-y=3                Divide both sides by -1 (to make y positive).

y=-3

Now, we can substitute y into the other equation, x=-4y.

x=-4(-3)   Simplify.

x=12

I really hope this helps!! Have a great day ❤

1.
Write an equation in point-slope form for the line through the given point with the given slope.

(10, –9); m = –2

A. y – 10 = –2(x + 9)

B. y – 9 = –2(x – 10)

C. y + 9 = –2(x – 10)

D. y – 9 = –2(x + 10)

Answers

Answer:

C

Step-by-step explanation:

Use  this formula:  y - y1 =  m(x - x1)         Given (10, -9) and slope (m) = -2

   y - (-9) = -2(x - 10)

   y + 9 = -2(x - 10)

   

Answer:

C. y + 9 = –2(x – 10)

Step-by-step explanation:

Coordinates (xA, yA)

10

-9

Slope(m)

-2

Point Slope Form

-2x - y + 11 = 0

What are terminating decimals?

Answers

They are decimals that end.

Answer:

A decimal that has an end

Step-by-step explanation:

for example .59 ends at .59 but if you see one that is like .333333333333333333333333333333333333333333333 and is going non stop then, that's a recurring decimal because it goes forever

5.9 = x/9 round to nearest 100th

Answers

[tex]\\ \sf\longmapsto 5.9=\dfrac{x}{9}[/tex]

[tex]\\ \sf\longmapsto x=9(5.9)[/tex]

[tex]\\ \sf\longmapsto x=9(\dfrac{59}{100})[/tex]

[tex]\\ \sf\longmapsto x=53.1[/tex]

[tex]\sf \displaystyle \frac{x}{9} =5,9 \\\\x=9\cdot 5,9 =45+8,1=53,1 \\\\ \boxed{\sf x=53,1}[/tex]

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