What is the spatial relationship between a rectangle and a parallelogram?

Answers:

lower bound = 39001

upper bound = 40999

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

Explanation:

You'll have to think backwards to find what values round to 690,000 when rounding to the nearest thousand.

It turns out that if x is on the interval [tex]689,500 \le x \le 690,499[/tex], then x will round to 690,000 when rounding to the nearest thousand. The x refers to the population of Sheffield, so it's some integer in that range.

Through similar logic, if y is on the interval [tex]729,500\le y \le 730,499[/tex] then it will round to 730,000 when rounding to the nearest thousand. This represents the population of Nottingham.

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Now let's say we go for the smallest possible value of x (689500) and the largest possible value of y (730499). This guarantees the two populations are the most spread out or distant from one another. Subtract those two values:

730,499 - 689,500 = 40,999

This is the largest difference possible of the two populations. It represents the upper bound, i.e. it's the ceiling.

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

On the other hand, let's now say x is as big as possible (690499) and y will be as small as possible (729500). Subtract those values:

729,500 - 690,499 = 39,001

This is the lower bound. It's the smallest the difference can be. It's considered the floor.

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

Let d be the difference in the populations. In other words, d = y-x

We found that the lower bound was 39,001 and the upper bound was 40,999

Meaning that

[tex]39,001 \le y-x \le 40,999[/tex]

or

[tex]39,001 \le d \le 40,999[/tex]

Answer:

1.3

Step-by-step explanation:

To find what x equals, you need to first divide by 48 and 37.

This is because that x is being multiplied by 37.

48 ÷ 37 = 1.297.......

The 97 in 1.297 is repeating and goes on forever.

Rounding the the nearest tenth would create the number 1.3 as the correct answer.

Answer:

B

Step-by-step explanation:

(a^3/2) / a

= a^(1/2)

= √a

= B

Answer:

D. A ( a-1/2)

Step-by-step explanation:

Hello!!

You must cancel out the common factor or in this case, ( a3/2) on the top.

You will now have ( 3/2) which should then be simplified to ( 1 1/2) or in this case ( A- 1/2)

Hope this helped!. :)

Answer:

x^2 + y^2 = 12

Step-by-step explanation:

For a circle with the center at the origin [(h,k) is (0,0)]

use the formula:

x^2 + y^2 = r^2

In this case r is 2sqroot3.

(2sqroot3)^2 is 12.

2•2•sqrt3•sqrt3

= 4•3

= 12

So we get,

x^2 + y^2 = 12

Answer:

32

Step-by-step explanation:

Given :

Finding the propotionality constant

Finding P in Case (ii)

Answer:

C. $250

Step-by-step explanation:

-To find the unit rate you need to divide the Amount Earned by Time worked

-When you do this you get 6.25

-Then you multiply 6.25 by 40

-That equals 250 and therefore the answer is C

Draw a rhombus with the diagonals.

4 right triangles are formed.

The intersection of the diagonals of a rhombus form 90 degree (right) angles (property of a rhombus).

The diagonals of a rhombus bisect each other. This means that they cut each other in half.

So, each of the right triangles have one side = 1, one side = 2.5 and the hypotenuse = unknown (sides of the

rhombus).

Triangle 1. ABC

side a = 2.5, side b = 1

tan A = a/b = 2.5/1 = 2.5

tan A = 2.5

tan 68.2 deg = 2.5

Since, angle C = 90 and angle A = 68.2

angle B = 21.8 deg. (180 - (90 + 68.2))

Since the diagonals bisect angles in each corner of a rhombus (property of a rhombus), therefore, one corner angle is 68.2 + 68.2 = 136.4 deg. and the same side other corner angle is 21.8 + 21.8 = 43.6 deg.

Adjacent sides (ones next to each other) of a rhombus are supplementary. This means that their measures add up to 180 degrees.

Therefore, the opposite corners are

180 - 136.4 = 43.6 and

180 - 43.6 = 136.4.

So, the four angles are,

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Answer:

add all and devide by the amount of numbers so in this case 0+5+6+7+7 devided by 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

0 + 5 + 6 + 7 + 7 = 25

25/5 = 5

Answer:

$3.50

Step-by-step explanation:

if you divide 42 by 12 you get 3.5

Answer:

Edit:

7. Linear because the graph is a straight line with an x and y variable

8. Non-linear because the graph is not a straight line

Sorry for the confusion with my previous answer! I hope this helps!

Answer:

75 seconds to run 180 meters

Step-by-step explanation:

(180m) / (2.4m/s) = 75 seconds

75 seconds to run 180 meters, but if we take into consideration the initial 39 seconds, then the total time it took to run (75s + 39s) was 114 seconds.

The question didn't explicitly ask the total time it took, but the time it took to run 180 meters.

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

We know that,

Substituting the values, we get:

↠ Perimeter = 2(9 + 7)

↠ Perimeter = 2(16)

↠ Perimeter = 32 feet

Now,

Substituting the values, we get:

↠ Area = 9 × 7

↠ Area = 56 ft²

Hence,

Answer:

I disagree.

Step-by-step explanation:

An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.

A ratio of two integers with -4 could be -4/1, so -4 is a rational number.

I agree.

Hope it helps.

Do comment if you have any query.

Answer:

I just answered these with your most recent post.

Answer:

A and B

Step-by-step explanation:

A. Since 2 angles are congruent you know that there has to be 2 equal sides

B. It has an obtuse angle which is 100 degrees.

C. Triangle has 2 congruent sides so this is incorrect

D. Not all sides are equal

E. Not all angles are acute

F. None of the angles are 90 degrees

Total deposite is the resultant amount we deposite. The total deposite that Art made is given by: Option B: $1,545.83

Resultant deposited amount = Deposited amount - The amount deducted.

We subtract the amount deducted from the amount deposited to get the resultant deposite amount that will go in bank.

Well, it might be that we deduced more than what we deposite, in that case net deposite will come as negative, indicating that there is deduction instead of deposite.

The missing image of the deposite ticket is attached below.

From that image, we can see that:

Thus, the net deposited amount is:

Net deposite = deposited amounts - deduced amounts

Net deposite = 13.50 + 942.06 + 75.53 + 670.14 -155.40

Net deposite = 1545.83 (in dollars).

Thus, the total deposite that Art made is given by: Option B: $1,545.83

Learn more about total deposite here:

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Answer:

B

Step-by-step explanation:

Answer:

Answer is

a) 50%

b) 20%

c) 40%

Step-by-step explanation:

43

so sorry if this is incorrect.

The percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

The percentage is defined as a ratio expressed as a fraction of 100.

A survey asked random sample of students if they estimated they spent more or less than an hour a day on social media.

       more   less

7th    12        14

8th    20      26

To determine the percentage of 8th graders who estimated they spend more than an hour a day on social media, we need to divide the number of students who answered "more" by the total number of 8th-grade students surveyed and then multiply by 100 to get the percentage.

20 students out of 46 students (20+26) answered "more" which is about 43.48%

Thus, the percentage of 8th graders estimated they spend more than an hour a day on social media is 43%.

Learn more about the percentages here:

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The answer would be: f(x) = x(x + 3)(x – 4)

✰ Concept Used :-

⠀

In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.

⠀

✰ Given Information :-

⠀

⠀

✰ To Find :-

⠀

⠀

✰ Formula Used :-

⠀

[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]

⠀

✰ Solution :-

⠀

[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, option B. 19.60 ft. is the correct option.

⠀

[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]

Answer:

Answer is B

Step-by-step explanation:

Answer:

14x+c

Step-by-step explanation:

I hope it's to help

Answer:

Answer:

deedww

Step-by-step explanation:

Answer:

[tex]x = 135(being \: opposite \: angles \: of \: a \: paralleogram)[/tex]

Step-by-step explanation:

x =135(being opposite angles of a parallelogram)

Answer: 28 cm.

Step-by-step explanation: To find the area of trapezoids, you need to add base 1 and base 2, multiply the height, and divide it all by 2.  The work is done below:

b1 + b2 x h / 2, where b1 and b2 are the bases and h is the height.

5 + 9 x 4 / 2 = ?

Step 1 (Add): 5 + 9 = 14.

Step 2 (Multiply):  14 x 4 = 56.

Step 3 (Divide): 56 / 2 = 28.

Therefore, 28 cm is your answer.

Hope this helps! :)

Answer:

<M = 50

Step-by-step explanation:

The sum of the angles of a triangle is 180. 52+ 78+x = 180. Combine like terms. 130 +x = 180.

The value of m for the given combination of two right-angle triangles will be 7√5.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

In the bigger right-angle triangle suppose the missing length is x.

By Pythagora's theorem,

(28 + 7)² = x² + m²

x² = 35² - m²                   (1)

In the smaller right-angle triangle,

x² = 28² + n²                   (2)

By comparing equations (1) and (2).

35² - m² = 28² + n²

m² + n² = 35² - 28²

In the smallest right-angle triangle,

m² = n² + 7²

n² = m² - 7²

By substitution,

m² + m² - 7² = 35² - 28²

2m² = 35² - 28² + 7²

m² = 245

m² = 7² x 5

m = 7√5.

Hence "The value of m for the given combination of two right-angle triangles will be 7√5".

For more about triangles,

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