whats the square footage of 10 by 10​

The perimeter of the water wheel  \(8\sqrt{10}\)

The correct option is (A)

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. To derive the formula, let us consider two points in 2D plane A( x, a) and B(y, b).

So, the distance between two points be: \(\sqrt{(y-x)^{2}+(b-a)^{2}}\)

As water wheel is designed in the shape of regular octagon.

To find the perimeter of the  water wheel.

Since the water wheel is in the shape of regular octagon all sides are equal.

Using Distance Formula,

D= \(\sqrt{(4-3)^{2}+(0-3)^{2}}\)

  = \(\sqrt{10}\)

So, the side of regular octagon will be \(\sqrt{10}\).

Perimeter of Regular Octagon = 8 x side

                                                   = \(8\sqrt{10}\)

Hence, the perimeter of the water wheel  \(8\sqrt{10}\)

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

The value of p is 1 unit.

The distance between two points A( x₁, y₁) and B(x₂, y₂) is given by:

d= \(\sqrt{((y_{2}-y_{1})^{2}+({x_{2}-x_{1})^{2}) }\)

Given that the distance between the origin and point P(-2, p-1) is 2p units.

i.e. 2p = \(\sqrt{(p-1-0)^2+(-2-0)^2}\)

⇒  2p = \(\sqrt{(p-1)^{2} +(-2)^2}\)

⇒ 2p = \(\sqrt{p^2 + 1- 2p +4}\)

⇒ 2p = \(\sqrt{p^2 - 2p +5}\)

Squaring both sides, we get:

4p² = p² - 2p + 5

⇒ 3p² + 2p - 5 = 0

⇒ 3p² + 5p - 3p - 5 = 0

⇒ p (3p + 5) - 1 (3p + 5) = 0

⇒ (3p + 5) (p-1) = 0

p = 1 unit

Note: p ≠ -5/3 since distance cannot be negative.

Hence p = 1 unit.

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Answer:

The probability is   \(G  =  85% \)

Step-by-step explanation:

From the question we are told that

   The percentage of parents that have one child under 18 in their homes is  k = 15%

  The percentage of parents that have two children is  T = 65%

    The percentage of parents that have three or more children is  Y = 20%

Generally the probability that any given family who is selected have two or more children at home is mathematically evaluated as

     \(G  =  T  +  Y\)

=>  \(G  =  65% +  20% \)

=>  \(G  =  85% \)

Answer:

59cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

9 tins of cat food feed her 2 cats for 18 days

Step-by-step explanation:

Sally has 2 cats

food eaten by 1 cat each day =

food eaten by 2 cat each day=  tins

sally buys 9 tins of cat food

then

tins  required in = 1 day

1 tin required in

i.e  1 tin required in  2 days

9 tin  required  for = 9×2 = 18 days

hence ,  9 tins of cat food feed her 2 cats for 18 days

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Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?

Answer:

The slope should be m= 4/7

Step-by-step explanation:

i hope this helps a little <3 have a awesome day

Answer:

m = 4/7

Step-by-step explanation:

The question is asking us to find the slope.

The function is:

\(\boldsymbol{y=\dfrac{4}{7}x-\dfrac{5}{8}}\)

Notice that the form of this equation is y = mx + b, which is known as slope-intercept.

Slope-intercept is the most common way of writing the equation of a straight line.

The slope, m, is the coefficient of x. So we look at that number if we need to find the slope. For this particular function, the slope is 4/7.

The y-intercept, b, is the constant. For this function, the y-intercept is -5/8.

Therefore, m = 4/7.

Answer:

48

Step-by-step explanation:

4*2*3 for the 4 flaps

2*4*3 for the 2 tops

(4*2*3) + (2*4*3) = 48

Answer:

52 square inches

Step-by-step explanation:

to find the surface area of a rectangular prism the formula is

S.A.=2(l*w+l*h+w*h)

2(4*3+4*2+3*2)

=52 square inches

here l is length w is width and h is height

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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Answer:

A) 1/12

Step-by-step explanation:

for every 1 that x increase f(x) increases 12

Answer:

1

Step-by-step explanation:

The ordered pairs are (1,0), (2,6/5),(3,12/5)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here: The equation as y = 6x/5 - 6/5

putting (1,0) in the equation we get 6×1/5-6/5=0

Similarly we can find the ordered pair as y = 6/5x - 6/5

Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)

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Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

Answer:

x < 1939

Step-by-step explanation:

If we want years before 1939, then x must be less than 1939. From this we can make the inequality: x < 1939. It shows that x must be anything less than 1939.

Answer:

WR ≈ 13.862

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is

WR² + RT² = WT²

WR² + 12.1² = 18.4²

WR² + 146.41 = 338.56 ( subtract 146.41 from both sides )

WR² = 192.15 ( take the square root of both sides )

WR = \(\sqrt{192.15}\) ≈ 13.862 ( to the nearest thousandth )

11/4

Step-by-step explanation:

to find the minimum value we require to find the vertex and determine if max/min

for a quadratic in standard form ; ax² + bx + c

the coordinate of the vertex is..

xvertex = -b/2a

x² - 3x + 5 is in standard form with a = 1,b = - 3 and c = 5

xvertex = - , -3/2 = 3/2

substitute this value into the equation for y-coordinate

yvertex = ( 3/2 ) ² -3 (3/2) + 5 = 11/4

vertex = ( 3/2, 11/4 )

to determine whether max/min

• if a > 0 then minimum u

• ifa < 0 then maximum n

here a = 1 > 0 hence minimum

minimum value of x² - 3x + 5 is 11/4

hope you understand this :)

The required area of the given triangle is given as 15 cm².

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

To calculate the area of a triangle with its vertices A(2, 5), B(3, -1), and C(-2, -1),

Evaluate the absolute value of the expression 1/2
= 1/2|x₁(y₂-y₃) + x₂(y₃-y₁) + x₃(y₁-y₂)|

Substitute the value in the above expression
= 1/2|2(-1 + 1) + 3(-1 - 5) -2(5 + 1)|
= 1/2[30]
= 15 cm²

Thus, the required area of the given triangle is given as 15 cm².

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By completing squares, we can rewrite the quadratic equation as:

(x + 9)^2 = -9

Remember the perfect square trinomial:

(a + b)^2 = a^2 + 2ab + b^2

Here we have the quadratic equation:

x^2 + 103 = -18x + 13

We can rewrite this as:

x^2 + 18x = 13 - 103

x^2 + 18x = -90

x^2 + 2*9*x = -90

We can add 9^2 and subtract 9^2 to get:

x^2 + 2*9*x + 9^2 - 9^2= -90

(x^2 + 2*9*x + 9^2) - 9^2= -90

(x + 9)^2 - 81 = -90

(x + 9)^2 = -90 + 81

(x + 9)^2 = -9

That is the equation we wanted to get.

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The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

\(7^2 + x^2 = (x + 1)^2\)

Expanding and simplifying this equation, we get:

\(49 + x^2 = x^2 + 2x + 1\)

Now, we can cancel out \(x^2\) from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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Answer:

7x12

Step-by-step explanation:

product is multiplication

Answer:180 degrees

The sum of the three angles of any triangle is equal to 180 degrees.

Step-by-step explanation:

Answer:

180 degree

Step-by-step explanation:

..............

9514 1404 393

Answer:

  62°

Step-by-step explanation:

Angles A and H are alternate exterior angles, so are congruent.

  ∠H = 62°

The solution is:

⇒ 6b = 95.94   (equation to determine cost of one box)

cost of one box 'b' = $`15.99

⇒ 12t = 95.94   (equation to determine cost of per tile)

cost of one tile t = $0.7995.

Given :

Jorge bought a crate of floor tiles for $95.94.

The crate had 6 boxes of floor tiles.

Each box contained 20 floor tiles .

To Find :

Write and solve equation to determine the cost per box'b'.

Write and solve a second equation to determine the cost per tile't'

Solution :

Cost of one box = b

There are 6 boxes

So, cost of 6 boxes = $  6b

Since Jorge bought 1 crate( = 6 boxes) of cost $95.94

⇒     (equation to determine cost of one box)

⇒6b = 95.94

⇒b =15.99

Thus cost of one box = $`15.99

Since 1 box 20 floor tiles

So, 6 boxes (=1 crate) contain tiles = 6*20 = 120 tiles

We are given that cost of 1 crate( = 6 boxes = 120 tiles) is $95.94

Cost of one tile = t

Cost of 120 tiles = $120t

⇒ (equation to determine cost of per tile)

⇒12t = 95.94

⇒t = 0.7995.

Thus cost of one tile t = $0.7995.

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Answer: 32 + 8 = 40 × 2 = (80) is the correct answer.

Step-by-step equation:

Cami is wrong 34 is not the correct answer. She made the mistake in her multiplying.

What mistake did Cami make when evaluating the expression? Cami divided instead of multiplying.  

What is the correct answer? The correct answer is 48. Notice that you first multiply first 8 x 2 and then add 32. Recall that you always multiply and then add.

The sentence which show correct verb tense usage is The overall outlook is favorable.

Verbs are a necessary component of communication in every language, including English, without which it would be difficult to convey what the subject is doing. All acts, including those motivated by sentiments and emotions, are included.

Verbs exist in a variety of forms and kinds so they can function in many ways to convey the whole meaning. Let's have a look at how different dictionaries define the word "verb" before we examine the many kinds of verbs and their forms.

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Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26

The purpose of data is to provide information and insights that can be used to make informed decisions, draw conclusions, and gain knowledge about a particular subject or phenomenon.

Data plays a crucial role in various fields, including science, business, research, healthcare, and everyday life.One primary purpose of data is to describe and understand the world around us.

By collecting and analyzing data, we can identify patterns, trends, and relationships that exist within a dataset. This helps us gain a deeper understanding of complex systems and phenomena.

For example, in scientific research, data is used to study the behavior of natural processes, investigate the effects of interventions, and formulate theories and models.

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Furthermore, data is crucial for monitoring and evaluating performance. By collecting data over time, organizations can track progress, measure outcomes, and identify areas for improvement. Data-driven monitoring allows for evidence-based assessments and adjustments to strategies or interventions.

Overall, the purpose of data is to provide reliable information that can be used to enhance understanding, support decision-making, and drive progress in various domains. It empowers individuals and organizations with the ability to derive insights, solve problems, and make meaningful contributions to society.

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