2. The east-west streets and north-south avenues of a certain city are numbered consecutively from south to north and west to east. All blocks are squares with the same side lengths. Mandy is standing on the corner of 59th Street and 15thAvenue. Mark is standing on the comer of 35th Street and 21st Avenue. Mark calls Mandy and asks her to meet him at a spot halfway between their currentlocationsb. If Mark stays where he is and Mandy walks to him, how far must she walk?

The two other two vertices will be (6, 10) and (8, 10)

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

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Answer:

\(\Large \boxed{12.9}\)

Step-by-step explanation:

BC = B’C’

BC = 2

The perimeter of a triangle is the sum of all its sides.

\(\sf \Rightarrow 5.1+5.8+2 \\\\\\ \Rightarrow 12.9\)

The perimeter of the triangle is 12.9.

Answer:

12.9 is the perimeter

Step-by-step explanation:

BC is 2 since B’C’ is equal to BC.

Add all sides to get perimeter.

5.1+5.8+2=12.9

You’re welcome.

- bananamilkshake43

The dimension of the rectangular of a norman window will be 1.6803*3.3606.

What is the area of Rectangle?

In any quadrilateral which have equal and parallel opposite sides is considered to be a rectangle. It is also called as a polygon with four sides and the four angles that are all 90 degrees each. A rectangle is a shape with only two dimensions. The product of the length and the breadth calculates its area. The length of the diagonals of any rectangle are equal in length. Thus, the length of the diagonals can be calculated easily using the Pythagoras theorem where, the diagonal is considered to be the hypotenuse.

Let r represents the radius, and b be the breadth.

Then, perimeter = 3.14*r+2r+2b = 12

For the dimension needed for the most light to enter we need to maximize the area.

Hence, area of the window : area of the semicircle + area of the rectangle

= \(\frac{3.14*r^2}{2} + 2rb\)

= \(12r - (\frac{3.14+4}{2}) r^2\)

A'(r) = 0

Therefore, \(r=\frac{12}{3.14+4}\) which is nearly equal to 1.6803m

From this value of r we can calculate the value of b to be;

b= 1.6803m

Thus, a= 3.606m

Thus the required dimension is : 1.6803*33606

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Answer:

they are right

Step-by-step explanation:

Answer:

you have the 4 and 7 backwards and the last one they r losing about .75 gallons hope this helps

Answer:

220

Step-by-step explanation:

Circumference of a circle is=diameter times pi

70=diameter because diameter is twice the radius

(22/7)70 is your answer

The sum of 0.47 and 0.2 is 0.67

From the question, we are to determine the sum of the given decimal numbers.

The numbers are 0.47 and 0.2

In the first model, we have 4 tenths and 7 hundredths

and

In the second model, we have 2 tenths and 0 hundredths

Adding the tenths

4 tenths + 2 tenths = 6 tenths

Adding the hundredths

7 hundredths + 0 hundredths = 7 hundredth

Putting the results together, we get

6 tenths and 7 hundredths

That is,

0.67

Hence, the sum of 0.47 and 0.2 is 0.67

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The maximum value considering DP of a and b is 9.52.

The decimal places of a number are the number of digits to be considered after the decimal point. E.g Round 4.7583 to 2 dp, we have;

4.76 3 dp

The maximum value of a sum of numbers is the highest value obtained when these numbers are added one to each other. The decimal places of each number is put into consideration in the process.

From the given question;

a = 8.7 and b = 0.82

Thus,

a + b = 8.7 + 0.82

        = 9.52

a + b = 9.52

Therefore, the maximum of a + b = 9.52

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The reasonable domain for the function is (b) x > 0

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

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The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Answer:

isn't X=21 because it's a right angle and you just do 90-69=21?

Answer:

alpha = 21°

Step-by-step explanation:

You see that this rectangle has four right angles, meaning each of 90 °

That is why it is called a rectangle in the first place. ( The 'rec' in rectangle stands for 'right' or 'streight' and it indicates all angles in the rectangle being 90 °).

Anyway, corner alpha added with the given angle of 69 ° must there fore add up to the value of a streight corner, right?

apha + 69 = 90

alpha = 90 - 69

alpha = 21°

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

3 : 2 : 1

Step-by-step explanation:

Simplest ratio

6oz : 4oz : 2 oz

Divide each by 2

6oz/2 : 4oz/2 : 2 oz/2

3 oz:  2 oz:  1 oz

3 : 2 : 1

The number of small rooms reserved is 4.

The number of large rooms reserved is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

Small rooms are denoted as S.

Large rooms are denoted as L.

Now,

We will make two equations.
L = 2S _____(1)

8L + 6S = 88 ______(2)

Putting (1) in (2) we get,

8L + 6S = 88

8 x (2S) + 6S = 88

16S + 6S = 88

22S = 88

S = 88/22

S = 8/2

S = 4

Now,

Putting S = 4 in (1) we get,

L = 2 x 4

L = 8

Thus,

The number of small rooms and large rooms reserved is 4 and 8.

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The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Based on the plot, the number of practice puzzles per week that members solve if they finish the contest puzzle

in one hour is c 4

The line of best fit for the scatter plot shows that there is a positive correlation between the number of practice puzzles solved per week and the time it takes to solve a contest puzzle. This means that as the number of practice puzzles solved per week increases, the time it takes to solve a contest puzzle decreases.

If a member finishes a contest puzzle in one hour, they are on the line of best fit. This means that they solve approximately 4 practice puzzles per week.

The other options are incorrect. Option a is too high, option b is too low, and option d is not on the line of best fit.

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The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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Answer:

9 squares

Step-by-step explanation:

Anne bought a piece of ribbon = 7 over 9 m long = 63 m²

she used = 3 over 18 m = 54 m²

left = 9 m²

maximum number of squares she could form of 1 m = 9

The exponent 4^2^2^2 can be expressed as 65536

Exponents and powers are ways used to represent very large numbers or very small numbers in a simplified manner. For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as 34, where 4 is the exponent and 3 is the base. The whole expression 34 is said to be power. Basically, power is an expression that shows repeated multiplication of the same number or factor. The value of the exponent is based on the number of times the base is multiplied to itself.

In this case, we have 4^2^2^2 which is

16^2^2 = 256^2 = 65536

The expression 4^2^2^2 is equal to 65536

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A: Built advanced sewer systems

Answer:

Step-by-step explanation:

The sum of supplementary angles is 180°.

5x+95 = 180

5x = 85

x = 17°

Lets see some basics properties of shapes provided in the choices :

❑ A spєciαl tчpє σf prαllєlσgrαm, with ѕαmє prσpєrtiєѕ

❑ A ѕpєcíαl tчpє σf pαrαllєlσgrαm wíth αll ѕídєѕ єquαl (cσngruєnt) tσ єαch σthєr вut αll αnglєѕ αrє nσt nєcєѕѕαrílч 90°

❑ A ѕpєcíαl kínd σf rhσmвuѕ hαvíng αll ѕídєѕ єquαl αnd єαch αnglє mєαѕuríng 90°

\(\rule{20cm}{1 mm}\)

☘ So, what we can conclude from the properties is that square has all required properties asked by the question.

hence, the correct choice is ' D '

\(\qquad \qquad\huge \dag\normalsize  \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag\)

The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.

To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.

Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.

The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units

Area of the inner rectangle = length × width= 6 × 4 = 24 square units

Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units

Therefore, the area of the shaded region is 264 square units.

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Answer:

he can make 9 cups of lemonade and he will have 1/3 of a cup of lemonade left over

Step-by-step explanation:

28÷3=9.3333=28/3=9 1/3

Answer:

9.3 or just 9 glasses of lemonade in total.

Step-by-step explanation:

just divide 28 with 3. but just to round it up i would say 9 glasses of lemonade.

Logical error example can be people without reasoning out thoughts supporting people who promised them their betterment.

What is Logical Error/Fallacies?

Common thinking flaws called fallacies will impeach the logic of your argument. Fallacies can be irrelevant or invalid arguments, and they are frequently recognised since they don't have any supporting data.

Basic Logic - knowing the study of current reasoning is basic logic.

Logic pertains to all subjects, since people can reason about anything they can think about politics, the art , Literature, business, the sciences and every day problems are all subject open to reasoning.

Few times ago , I was in a political party rally. I observed that one think clever politician knows very well how to manipulate public opinion , contestant addressing and promising about that is not in even going to possible but many of them endorse strong convictions , that whatever he told is going to be true , people don't even think for reason with the  promises that he did.

Legislative assembly member's contestant told in his addressing that we  promises to all of you we will provide free petrol, diesel, free rice and now he is in the member of legislative assembly, but no promises are fulfilled. How people can't even reason their thought .

Therefore, this is an example of logical error.

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Answer:

The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).

Step-by-step explanation:

Answer:

192 cubic feet

Step-by-step explanation:

The volume V of a triangular pyramid is given by the formula:

V = (1/3) * base area * height

where base area is the area of the triangular base.

In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:

base area = length * width = 8 ft * 8 ft = 64 sq ft

Substituting the given values into the formula, we get:

V = (1/3) * 64 sq ft * 9 ft

V = 192 cubic feet.

Therefore, the volume of the triangular pyramid is 192 cubic feet.

Answer: 1.15

Step-by-step explanation:

23/20 = 1 3/20 = 1.15

Answer:

y = 6x -2

Step-by-step explanation:

Answer:

y = 6x - 2

Step-by-step explanation:

pass (1,4)

y = mx + b

b = y - mx = 4 - 6 x 1 = -2

y = 6x - 2

Answer:

\(P(x \le 5) = 0.0110\)

Step-by-step explanation:

Given

\(n = 17\) -- number of properties

\(p = 60\%\) --- probability of selling a property

Required

\(P(x \le 5)\)

The question is an illustration of binomial probability, and it is calculated using:

\(P(x ) = ^nC_x * p^x * (1 - p)^{n-x}\)

So, we have:

\(P(x \le 5) = P(x = 0) +P(x = 1) +P(x = 2) +P(x = 3) +P(x = 4) +P(x = 5)\)

\(P(x=0 ) = ^{17}C_0 * (60\%)^0 * (1 - 60\%)^{17-0} = 1.71798692*10^{-7}\)

\(P(x=1 ) = ^{17}C_1 * (60\%)^1 * (1 - 60\%)^{17-1} = 0.00000438086\)

\(P(x=2 ) = ^{17}C_2 * (60\%)^2 * (1 - 60\%)^{17-1} = 0.00005257039\)

\(P(x=3 ) = ^{17}C_3 * (60\%)^3 * (1 - 60\%)^{17-3} = 0.00039427799\)

\(P(x=4 ) = ^{17}C_4 * (60\%)^4 * (1 - 60\%)^{17-4} = 0.00206995948\)

\(P(x=5 ) = ^{17}C_5 * (60\%)^5 * (1 - 60\%)^{17-5} = 0.008072842\)

So, we have:

\(P(x \le 5) = 1.71798692*10^{-7}+0.00000438086+0.00005257039+0.00039427799+0.00206995948+0.008072842\)

\(P(x \le 5) = 0.01059420251\)

\(P(x \le 5) = 0.0110\)

The user corrected that the scale of a drawing of a park reads: 5 miles to 1 cm , and we know that the park measures 1,600 square meters (user insisted that this measure is given in square meters and not square miles).

So we have to convert the 1600 square meters into miles, knowing that 1 meter is the same as: 0.000621371 miles

then meters square will be equivalents to:

1 m^2 = (0.000621371 mi)^2

then 1600 m^2 = 0.00061776 mi^2

now, since 5 miles are represented by 1 cm, then 25 square miles will be represented by 1 square cm

and therefore 0.00061776 square miles will be the equivalent to:

0.00061776 / 25 cm^2 = 0.000024710 cm^2

So and incredibly small number of square cm.

I still believe that some of the information you gave me are not in meters but in miles. (For example, the park may not be in square meters but in squared miles). The park seems to have the size of a house according to the info.