Find the number of rectangles an and Squares in chess 8 by 8 board respectively.​

Answers

Answer 1

Answer:

squares: 204

rectangle: 1,296

Step-by-step explanation:

Board Size: 8 x 8

The total number of squares is thus:

[tex]1^{2} + 2^{2} + ... + n^{2}[/tex]

sum = [tex]\frac{n(n + 1)(2n + 1)}{6}[/tex]

For a chess board, with n = 8,

sum = [tex]\frac{(8)((8) + 1)(2(8) + 1)}{6}[/tex]

sum = 204

the number of rectangles on a chess board,

to make a rectangle you need to pick any two of the vertical lines, and any two of the horizontal lines. There are 36 distinct pairs and the same number of vertical pairs, so the answer is 36 × 36 = 1,296.

Find The Number Of Rectangles An And Squares In Chess 8 By 8 Board Respectively.
Find The Number Of Rectangles An And Squares In Chess 8 By 8 Board Respectively.

Related Questions

Nala wants to find out if the quadrilateral shown is a rectangle. Nala's plan: • Find the slopes of all four sides. • See if there are two pairs of equal slopes. • See if there are two pairs of slopes that are negative reciprocals. Will her plan work? Why or why not?

Answers

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other. Therefore her plan will work.

Proof for a quadrilateral

A quadrilateral are shapes with 4 sides. A rectangle is a quadrilateral with 2 parallel sides.

According to Nala's plan to find out if the quadrilateral shown is a rectangle, she can do the following;

See if there are two pairs of equal slopesSee if there are two pairs of slopes that are negative reciprocal

Checking if the two pairs of slopes are negative reciprocal will help he determine if the lines are perpendicular to each other.  

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a group of 20 students in four adults are going on a field trip to the museum What is the ratio of students to adults complete the statement.

Answers

Answer:

5:1

Step-by-step explanation:

Originally the ratio is 20:4

but then it is simplified to 10:2

then 5:1

4(x-5)-(6x + 1)= 2x -19

Answers

Answer:

Step-by-step explanation:

Comment

I take it you want the value for x.

Solution

4(x-5)-(6x + 1)= 2x -19                       Remove the Brackets.

4x - 20 - 6x - 1 = 2x - 19                   Combine like terms

-2x - 21 = 2x - 19                              Add 2x to both sides

-2x-21+2x = 2x + 2x - 19                  Combine

-21 = 4x - 19                                     Add 19 to both sides

-21+19 = 4x -19 + 19                          Combine like terms

-2 = 4x                                              Divide by 4

-2/4 = x

x = - 1/2

Answer: x = - 1/2

or x = -0.5

Find y. Give your answer in the simplest form.

Answers

Step-by-step explanation:

you use Sin60 to find y because Sin60=

[tex] \frac{y}{8} [/tex]

What are the coordinates of the point on the directed line segment from (−3,8) to (6, -4) that partitions the segment into a ratio of 1 to 5?

Answers

let's say the segment is A(-3,8) and B(6,-4) and point C splits it on a 1:5 ratio from A to B, let's check for C coordinates.

[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-3,8)\qquad B(6,-4)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:5} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{5}\implies \cfrac{A}{B} = \cfrac{1}{5}\implies 5A=1B\implies 5(-3,8)=1(6,-4)[/tex]

[tex](\stackrel{x}{-15}~~,~~ \stackrel{y}{40})=(\stackrel{x}{6}~~,~~ \stackrel{y}{-4})\implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-15 +6}}{1+5}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{40 -4}}{1+5} \right)} \\\\\\ C=\left(\cfrac{-9}{6}~~,~~ \cfrac{36}{6} \right)\implies C=\left( -\cfrac{3}{2}~~,~~6 \right)[/tex]

What division problem does this area model represent?

Answers

Answer:

2,160 ÷ 36 = 60

Step-by-step explanation:

The division problem that this area model represents is,

2,160 ÷ 36 = 60

2. The number of hours you study for an exam impacts your grade. What is a reasonable value of the range?
70
-8
1.75
1/6

Answers

Answer:

62.

Step-by-step explanation:

because I subtract 70 to 8 equal to 62

Answer:

I think

Step-by-step explanation:

I think 62 hope you have a good day

Use the strategy to simplify 4√576
Write the prime factorization of the radicand.

Answers

[tex]\begin{array}{r|l}576&2\\288&2\\144&2\\72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}[/tex]

[tex]576=2^6\cdot3^2[/tex]

Therefore

[tex]4\sqrt{576}=4\sqrt{2^6\cdot3^2}[/tex]

A line connecting the points (-3,0) and (x, -6)has slope -1. Determine x.

Answers

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Answer:

  x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

__

setup

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

  y -0 = -1(x -(-3))

  y = -x -3

We want x when y = -6, so this becomes ...

  -6 = -x -3

solution

Adding x+6 to both sides of the equation, we get ...

  (x +6) -6 = -x -3 +(x +6)

  x = 3 . . . . . . . simplify

please help me Im almost done​

Answers

Answer:

[tex]\mathsf {x = 76}[/tex]

Step-by-step explanation:

The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.

[tex]\textsf {Solving :}[/tex]

[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]

[tex]\implies \mathsf {x + 104 = 180}[/tex]

[tex]\implies \mathsf {x = 180 - 104}[/tex]

[tex]\implies \mathsf {x = 76}[/tex]

The surface area of a right cone which has a base diameter of 6 units and a height of 8 units is:
75 units squared.
108 units squared.
151 units squared.
188 units squared.

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of the cone is 108.79967 units².

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given the diameter of the cone is 6 units, therefore, the radius of the cone is 3 units, and the height of the cone is 8 units. Thus, the surface area of the right cone is,

A=πr [r+√(h²+r²)]

A = 108.79967 units²

Hence, the surface area of the cone is 108.79967 units².

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During the basketball season, Morgan made 3 times as many 2-point baskets as she made 3-point baskets and free throws combined. If she made 14 free throws and eight 3-point baskets, How many 2-point baskets did she make. And simplify your answer.

Answers

Answer:

123 save some for me

Step-by-step explanation:

:0

Answer: 123

Step-by-step explanation: I did the math- lol-

Seven increased by the product of six and the number is 19

Answers

The number is that was multiplied by 6 is 2.

What is the number?

The equation that can be derived from the question is :

7 + (6a) = 19

Where a is the unknown number that 6 was multiplied with

Given the above equation, in order to determine the value of a, take the following steps:

Combine similar terms: 6a = 19 - 7

Subtract similar terms: 6a = 12

Divide both sides by 6: a = 12 / 6

a = 2

Here is the complete question:

Seven increased by the product of six and the number is 19. What is the number?

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Combine like terms to simplify the expression:
-50 m+ 10-3 m+ (-13) =

Answers

[tex] - 50m + 10 - 3m + ( - 13) \\ - 50m + 10 - 3m - 13 \\ - 53m - 3[/tex]

Hope it helps

please give brainliest

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant. So, what is the highest possible number of inhabitants in that little town?

Answers

The highest possible number of inhabitants in that little town are 743.

What are inhabitant?

A person or animal that lives in a place is called as the inhabitant.

Suppose there is this little town with a finite number of people: (1) No two inhabitants have exactly the same number of hairs. (2) No inhabitant has exactly 743 hairs or no hairs at all. (3) There are more inhabitants than there are hairs on the head of any inhabitant.

Let say there are 519 people in the town. and make them stand in a line with increasing number of hairs on their heads. This way, there will be a person on the last, who has no hair.

There are more number of people than the hairs. From bald to 742 hairs, 743 is the limit.

Thus, the highest possible number of inhabitants in that little town are 743.

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Find the exact value of each expression.
sin0 , if cos 0 =3/5 and 270° ≤0 ≤360°

Answers

[tex]\text{Given that,}\\\\~~~~~~~~\cos \theta = \dfrac 35\\\\\implies \cos^2 \theta = \dfrac 9{25}\\\\\implies 1-\sin^2 \theta = \dfrac{9}{25}\\\\\implies \sin^2 \theta = 1-\dfrac{9}{25}\\\\\implies \sin^2 \theta = \dfrac{16}{25}\\\\\implies \sin \theta = \pm\sqrt{\dfrac{16}{25}}\\\\\implies \sin \theta = \pm\dfrac 45\\\\\text{Given that,}~ 270^{\circ} \leq \theta \leq 360^{\circ}, \text{So}~ \theta ~ \text{lies in fourth quadrant.}\\\\[/tex]

[tex]\text{Which means that}~ \sin \theta ~ \text{will be negative.}\\\\\text{Hence,}~ \sin \theta = -\dfrac 45[/tex]

Please help with question 2, 3 and possibly 4 if you can.​

Answers

The solution of the inequality are (iii) and (iv)

The solution of the equality is x = 8.

The solution of the equality is x = 0.

How to solve inequality ?

The solutions of the inequalities can be found as follows:

x³ + 3(5 - 2) ≥ 20 - 4

x³+ 3(3) ≥ 16

x³+ 9 ≥ 16

x³ ≥ 16 - 9

x³ ≥  7

x ≥ ∛7

x ≥ 1.9

Therefore, (iii) and (iv) are solution.

4(72 - x²) = 3.12 - 4

288 - 4x² = 36  - 4

288 - 4x²= 32

-4x² = -256

x²=  256 / 4

x²=64

x= √64

x= 8

7(x + 12) = 7.12

7x + 84 = 84

7x= 84 - 84

7x= 0

x = 0

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The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise.

A graph titled Cardiac Exercise. The horizontal axis shows time (minutes), numbered 3 to 30, and the vertical axis shows Heart Rate (b p m) numbered 15 to 150. The line starts at 75 b p m in 0 minutes, to 135 b p m from 6 to 25 minutes, and ends at 105 b p m at 30 minutes.

Which statement best describes the relationship between heart rate and time during exercise?

The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate decreases for 6 minutes, remains constant for 19 minutes, and then gradually increases for 5 minutes.
The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes.
The heart rate remains constant for 6 minutes, increases for 19 minutes, and then gradually decreases for 5 minutes.

Answers

Answer:

the heart rate increases for 6 minutes, remains constant for 19 minutes ,and then gradually decreases for 5 minutes

( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle.

Answers

Base=B=6cmHeight=H=12cm

Area

1/2BH1/2(6)(12)3(12)36cm²

Step-by-step explanation:

Base=6cm

Height=12cm

So,

1/2BH

= 1/2×6×12

= (3×12)

= 36 cm²

_________________________________

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Solve the equation sin 79.5° = cos 2x

Answers

Answer:

x=5.24-9+180n,174.75+180n

Step-by-step explanation:

The area of Louisiana is approximately 4 x
104 square miles. The area of the United
States is approximately 225 times greater
than the area of Louisiana. What is the
approximate area of the United States?

Answers

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

the mean of the data set is 18. what number is missing? 21,11,_,27,22,13,16

Answers

The missing number given the mean of the data set is 16.

What is the missing number?

Mean is the average of a data set. It is determined by adding all the numbers in the data set and dividing the sum by the numbers in the data set.

Missing number = (mean x total number in the data set) - sum of numbers in the data set

(18 x 7) - ( 21 + 11 + 27 + 22 + 13 + 16)

126 - 110

= 16

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HELP ASAP!!!!!!!!!!! ​

Answers

Answer:

  a)  ΔCED ~ ΔCAB

  b)  157.5 m

Step-by-step explanation:

The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.

__

a)

The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...

  ΔCED ~ ΔCAB

__

b)

Corresponding sides are proportional, so we can write ...

  AB/AC = ED/EC

  AB/(50+160) = 120/160 . . . . . using the numerical values

  AB = 210 × 120/160 = 157.5 . . . meters

The length of the lake is 157.5 meters.

Problem #2
Using the perpetual inventory system, journalize the entries for the following transactions:
a) Sold merchandise on account for $12,000, terms 1/10, n/30. The cost of the merchandise sold was $6,500.
b) Sold merchandise on account for $9,500 to customers who used a VISA card. The cost of the merchandise sold was
$5,300.
c) The customer in a) returned merchandise which was sold for $1,000 and that we had purchased for $780.
d) Purchased merchandise on account for $8,500, credit terms 1/15, n 45, FOB destination. The appropriate company paid
the Freight costs of $500.

Answers

The perpetual inventory system is an inventory management method that records when stock is sold or received in real-time.

How to depict thejournal?

a. Debit Accounts Receivable 12000

Credit  Sales  12000

Debit Cost of Merchandise Sold 6500

Credit    Merchandise Inventory  6500

b. Debit Cash 9500

Credit Sales  9500

Debit Cost of Merchandise Sold 5300

Credit Merchandise Inventory  5300

c. Debit Cash 2900

Credit  Sales  2900

Debit Cost of Merchandise Sold 1700

Credit  Merchandise Inventory  1700

d. Debit Credit Card Expense 385

Credit  Cash  385

e. Debit Credit Card Expense 75

Credit Cash  75

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There are 10000 people living in a certain city. Suppose that the rate of population growth in the city is proportional to the number of inhabitants. Suppose that 10% of the original amount increase in 30 years, how much will the population in the city after 60 years?​

Answers

Answer:

.............30000.............

how many terms are in 10y2-3y+8

Answers

Hi student, let me help you out! :)

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

We are asked to find how many terms are in [tex]\pmb{10y^2-3y+8}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

A term is a thing that's added or subtracted.

So let's compute the number of terms in this expression.

The first term is [tex]\pmb{10y^2}[/tex].

Is anything added or subtracted from 10y²?

Sure! [tex]\pmb{-3y}[/tex] is subtracted from 10y².

Also, 8 is added to -3y.

Thus, this expression has 3 terms.

Hope it helps you out! :D

Ask in comments if any queries arise.

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~Just a smiley person helping fellow students :)

What additional piece of information would prove △LMK≅△NMK by Side Angle Side?

Answers

Answer:

angle M

Step-by-step explanation:

if you are using side angle side the two sides may be

line LK and NK

and angle M

help me thank youuu!

Answers

Answer:

D) 5

Step-by-step explanation:

Because 5x5=25 so the square root would be 5

what is the slope of the line shown below?

Answers

Answer:

C. 2

Step-by-step explanation:

Gradient = [tex]\frac{change in y}{change in x}[/tex]

Gradient = [tex]\frac{6}{3}[/tex]

Gradient = 2

Answer: slope=2

Formula: (Y2-Y1)/(X2-X1)

(-4-2)/(-1-2)=2

Drag one comparison statement into each box below to make a true statement. Each comparison statement may be used once, more than once, or not at all.

Answers

The inequalities are; 5¹/₄ tons = 10500 pounds; 1/2 ton + 3/4 ton > 2800 pounds; 2 tons > 60000 pounces; 1¹/₄tons > 20000 ounces

How to find Inequalities?

1) 5¹/₄ tons when converted to pounds is 10500 pounds.

Thus; 5¹/₄ tons = 10500 pounds.

2) 1/2 ton + 3/4 ton = 5/4 tons

Converting 1.25 to tons gives 2500 tons. Thus;

1/2 ton + 3/4 ton > 2800 pounds

3) Converting 2 tons to Ounces gives 64000 ounces. Thus;

2 tons > 60000 pounces.

4) 1¹/₄tons - ¹/₂ton = ³/₄ tons

Converting to ounces gives 24000 ounces

Thus; 1¹/₄tons > 20000 ounces

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