a square garden has an area of 137 square feet.what is the approximate length of one side of the garden

The total length of the metal strip that has to be used to cover the table top would be = 6,513cm²

The shape of the table top consists of two main shape and it's area is used to determine the length of the metal strip.

The area of rectangle = length×width =

where length = 85 cm

width = 60cm

The area = 85× 60 = 5,100cm

The area of the semi circle = πr²/2

radius = 60/2 = 30cm

Area = 3.14 × 30²/2

= 2826/2

= 1413

Therefore the total length = 5,100+1413 = 6,513cm²

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Answer:

B) x > 8

Step-by-step explanation:

1-Step: Combine like terms by subtracting 9 on both sides : 17-9 < X

8 < X

2- Step: flip the signs (Since 8 is less than X, Then X is greater than X)

X > 8

Step-by-step explanation:

To find this algebraic phrase, we need to use the rules of algebra to express the given statement in mathematical notation. The given statement says that the sum of three times the opposite of a number and -7 is some unknown value.

We can start by expressing the opposite of a number in mathematical notation. The opposite of a number is equal to the number multiplied by -1. So, we can write the opposite of a number as -x.

Next, we can express the fact that the opposite of a number is being multiplied by 3. To do this, we can simply write 3(-x) to represent three times the opposite of a number.

Finally, we can express the fact that -7 is being added to the result. To do this, we can simply write 3(-x) - 7 to represent the sum of three times the opposite of a number and -7.

Therefore, the algebraic phrase for the sum of three times the opposite of a number and -7 is 3(-x) - 7.

Answer:

x = 2

Step-by-step explanation:

16x - 2 = 30

16x = 30 + 2

16x = 32

x = \(\frac{32}{16}\)

x = 2

Answer:

x = 2

Step-by-step explanation:

Given

16x - 2 = 30 ( add 2 to both sides )

16x  = 32 ( divide both sides by 16 )

x = 2

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

Explanation:

Let's check to see if 9/12 is the same as 16/24.

Set them equal to one another, and then use cross multiplication like so

9/12 = 16/24

9*24 = 12*16

216 = 192

Both sides aren't the same value after simplifying everything. The third equation being false leads to the first equation being false as well.

Therefore, 9/12 is not the same as 16/24. We can rule out choice A.

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

Let's check choice B

9/12 = 15/20

9*20 = 12*15

180 = 180

We have a match, so 9/12 is the same as 15/20

Notice how:

Both fractions lead to the same exact terminating decimal, which is more evidence that the two fractions are equivalent.

Choice B is the final answer.

The measure of angle MQS is 18°.

In mathematics, angles are typically measured in degrees or radians.

An angle is formed by two rays that have a common endpoint called the vertex. The rays are the sides of an angle, and the endpoint is called the vertex.

There are different types of angles:

Acute angle: an angle measuring between 0 and 90 degrees.

Right angle: an angle measuring exactly 90 degrees.

Obtuse angle: an angle measuring between 90 and 180 degrees.

Straight angle: an angle measuring exactly 180 degrees.

Reflex angle: an angle measuring between 180 and 360 degrees.

Draw QT  and QS

Angles TQP, SQT, and  SQR  will trisect the interior angle PQR

And PQR  = 108

So  ...angle  SQT  = 108 / 3   = 36

But...by symmetry....angle XQS  =  (1/2)angle SQT  = (1/2)36  = 18°

Therefore, The measure of angle MQS is 18°.

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Step-by-step explanation:

the answer is correct and helpful

x=1

The polygon shape that possesses the bigger area from the two given is: Hexagon

Polygons are defined as closed shapes that are two-dimensional. They possess straight sides and have the same number of sides as they have angles. Polygons have names that relate to how many sides they have.

A hexagon has more sides than a pentagon.

A hexagon is a polygon that has six sides and a pentagon is a polygon that has five sides.

Now, the more sides the polygon has, the more area it covers inside the circle as it will obviously be wider.

Thus, we can infer that the hexagon will have a bigger area.

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If you are helped with my answer pls tag me brianliest

I really want it

THANK YOU........

Answer:

2y=3x=-4

Step-by-step explanation:

grouping like terms

y+ly =4x-x=-4

2y=3x=-4

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

\(3x + 21y = 21 \\ 21y = 21 - 3x \\ y = \frac{21 - 3x}{21} \\ y = 1 - \frac{1}{7} x \\ y = - \frac{1}{7} x + 1\)

The solution is Option C.

The value of the expression is A = -19.5b - 6.9

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the value of the equation A is

A = 3 ( −4.5b − 2.1 ) − ( 6b + 0.6 )

On simplifying the equation , we get

A = 3 ( -4.5b ) + 3 ( -2.1 ) - 6b - 0.6

A = -13.5b - 6.3 - 6b -0.6

On adding the similar terms in the equation , we get

A = -13.5b - 6b - 6.3 - 0.6

A = -19.5b - 6.9

Therefore , the value of A is -19.5b - 6.9

Hence , The value of the expression is A = -19.5b - 6.9

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\(7^5 \cdot \dfrac{7^3}{7^2}\\\\=7^5 \cdot 7^{3-2}\\\\=7^5 \cdot 7^1 \\\\=7^{5+1}\\\\=7^6\)

There is a 2 in 12 chance of drawing a penny

Step-by-step explanation:

Answer: 2/12

Step-by-step explanation:

There are 12 coins all together, and 2 pennies which means there is a 2/12 chance to draw a penny. Then they replace the penny and draw another time, so by replacing the penny the probability doesn't change and there is still a 2/12 chance of drawing a penny.

Answer:

Mean is the same as average so you simply take 4+5+9+2+104+5+9+2+10+6+7+9+8=180 but for it to be average you also have to divide by the number of values used which in this case is 13 so you take 180/13=13.85 if you round to the second decimal place

Step-by-step explanation:

please give brainliest if this helped

Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%

If Zoe already has $80 and can save an additional $6 per week using money from her after school job then the total amount of money that Zoe saved after 6 week of saving is $116  and

the expression that represent amount of money Zoe would have saved in w weeks is \(80+6w\)  .

The amount that Zoe already saved = $80 ;

the amount that she can additionally save is = $6 per week ,

the amount of money that can be saved after 6 weeks can be written as :

\(Amount = \$80+(Amount Saved Per Week)\times(Number Of Weeks)\)

Amount = \(80+6\times6\)

= \(80+36\)

= $116

and the expression for w weeks will be = \(80+6\times w\)

The expression is ⇒ \(Amount = 80+6w\).

The given question is incomplete , the complete question is

Zoe is saving up to buy a new bicycle. She already has $80 and can save an additional $6 per week using money from her after school job. How much total money would Zoe have after 6 week of saving ?

Also, write an expression that represent the amount of money Zoe would have saved in w weeks ?

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\(2(5)^{2}\)

2*25

50

#\(RosalindIsHereToHelpYou\)

For Felipe and Helena's final grades, the solution is option C, [74 71].

Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:

Felipe's final grade:

0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71

Helena's final grade:

0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74

To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:

[0.40 0.50 0.10]   [80 70]

F = WG = [0.40 0.50 0.10] x [60 80]

[0.40 0.50 0.10] [90 60]

Performing matrix multiplication:

[32 + 30 + 9  28 + 40 + 6]

F = WG = [32 + 40 + 6 28 + 40 + 3]

[36 + 25 + 6 36 + 20 + 3]

Simplifying:

[71 74]

F = WG = [78 71]

[67 59]

Therefore, [74 71] for Felipe and Helena's final grades, respectively.

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Answer:

y = 180 - (36 + 65)

x = 69

Step-by-step explanation:

Answer:

75 seconds or 1 minute and 15 seconds

Step-by-step explanation:

300 meters/4 mps = 75 seconds

Simplification of the given numbers  (1.1)^ 10000 or 1000 gives

(1.1)^ 10000 is larger number than 1000.

As given in the question,

Given two numbers are:

(1.1)^ 10000  and 1000

Simplify the numbers to get the larger number we have,

Apply Binomial theorem in the expression   (1.1)^ 10000

( a + b )ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b² +.....+ ⁿCₙa⁰bⁿ

(1.1)¹⁰⁰⁰⁰

= ( 1 + 0.1)¹⁰⁰⁰⁰

Here a = 1, b = 0.1 and n= 10000

( 1 + 0.1)¹⁰⁰⁰⁰

=¹⁰⁰⁰⁰C₀1¹⁰⁰⁰⁰(0.1)⁰ + ¹⁰⁰⁰⁰C₁1¹⁰⁰⁰⁰⁻¹(0.1)¹ + ¹⁰⁰⁰⁰C₂1¹⁰⁰⁰⁰⁻²(0.1)² +..........+ ¹⁰⁰⁰⁰C₁₀₀₀₀1⁰(0.1)¹⁰⁰⁰⁰

= 1 + 1000+......

= 1001+ ....

> 1000

Therefore, from the given numbers (1.1)^ 10000 or 1000 the larger number is (1.1)^ 10000 compare to 1000.

The above question is incomplete , the complete question is :

Which number is larger (1.1)^ 10000 or 1000?

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Therefore, it will take approximately 13.7 years for the population to double.

a. To determine the growth rate, you need to calculate the percentage increase in population. The formula for growth rate is:

Growth Rate = (New Value - Old Value) / Old Value * 100

Using the given values, we have:

Growth Rate = (1577 - 1500) / 1500 * 100
Growth Rate = 77 / 1500 * 100
Growth Rate ≈ 5.13%

b. To write a general equation for the population, you can use the formula:

p(t) = p(0) * (1 + r/100)^t

where p(t) is the population at time t, p(0) is the initial population, r is the growth rate, and t is the number of years.

c. To estimate the population in 2010, we need to find the population at time t = 2010 - 2000 = 10 years. Using the general equation from part b, and substituting the given values:

p(10) = 1500 * (1 + 5.13/100)^10
p(10) ≈ 1500 * (1.0513)^10
p(10) ≈ 1500 * 1.6436
p(10) ≈ 2465.4

Therefore, the estimated population in 2010 is approximately 2465.

d. To find out how many years it will take for the population to double, we need to solve the equation:

2 * p(0) = p(0) * (1 + r/100)^t

Simplifying the equation, we have:

2 = (1 + r/100)^t

Taking the logarithm of both sides, we get:

log(2) = t * log(1 + r/100)

Finally, solving for t, we have:

t = log(2) / log(1 + r/100)

Substituting the growth rate from part a, we have:

t = log(2) / log(1 + 5.13/100)
t ≈ log(2) / log(1.0513)
t ≈ 13.7 years

Therefore, it will take approximately 13.7 years for the population to double.

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Answer:

Your answer is 8x+607

Step-by-step explanation:

Answer:

2x^2+3

Step-by-step explanation:

2x*x=2x^2

2x*3=6x

-1*x=-x

-1*3=-3

2x^2+6x-x-3

2x^2+3

The coordinates of the geometric figure after it is reflected about the y-axis include the following:

x" = (-4, 5).

y" = (-3, 9).

z" = (-6, -11).

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the object include the following:

(x, y)                               →              (-x, y)

Coordinate x' = (-4, -5)   →  Coordinate x" = (-(4), 5) = (-4, 5).

Coordinate y' = (3, 9)   →  Coordinate y" = (-(3), 9) = (-3, 9).

Coordinate z' = (6, -11)   →  Coordinate z" = (-(6), (-11)) = (-6, -11).

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The dimensions of the poster with an area of 392 square inches is equal to 14 inches and 28 inches.

Area of rectangular poster to print = 392 square inches

Let us assume that dimensions of the posters are,

Width of the poster is x inches and the length of the poster is y inches.

Area of the rectangular poster is,

xy = 392

Add 2 inches to the top and bottom margins for a total of 4 inches

And 1 inch to the left and right margins for a total of 2 inches.

Total area of the poster including the margins using the following equation,

Total area = (x + 2) × (y + 4)

Minimize the total area of the poster while still satisfying the area constraint.

Use the first equation to solve for one variable

And substitute it into the second equation,

y = 392/x

Total area = (x + 2) × (392/x + 4)

⇒ Total area = 4x + 392 +784/x + 8

⇒Total area = 4x + 400 +784/x

Minimize the total area, take the derivative of this expression with respect to x and set it equal to 0,

d/dx (4x + 400 +784/x ) = 0

⇒  4 + 0 - 784/x² = 0

⇒ x² = 784 /4

⇒ x = 14

Substituting this value of x back into the equation for y, we get,

y = 392/14

  = 28

Therefore, the dimensions of the poster should be 14 inches by 28 inches.

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