O
10 20 30 40 50 60 70 80 90
20. How far apart are Arthur and Jamie? Round
the nearest tenth of a meter.
-16
21. Who is closer to Cameron? Explain.
22. The soccer ball is located at the point (35,60
Who is closest to the soccer ball?



O10 20 30 40 50 60 70 80 9020. How Far Apart Are Arthur And Jamie? Roundthe Nearest Tenth Of A Meter.-1621.

Answers

Answer 1

The distance between two points on the coordinate geometry is [tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex].

The distance between Arthur and Cameron is 45.3 mJamie is closer to Cameron than ArthurArthur is the closest to the soccer ball

From the attachment, we have:

[tex]A = (20,35)[/tex] --- Arthur

[tex]J = (45,20)[/tex] -- Jamie

[tex]C = (65,40)[/tex] --- Cameron

The distance between Arthur and Cameron is:

[tex]AC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AC = \sqrt{(20- 65)^2 + (35 - 40)^2}[/tex]

[tex]AC = \sqrt{2050}[/tex]

[tex]AC = 45.3m[/tex]

Hence, the distance between Arthur and Cameron is 45.3 m

To determine the closest to Cameron, we simply calculate the distance between Cameron and Jamie

[tex]CJ = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]CJ = \sqrt{(45 - 65)^2 + (20 -40)^2}[/tex]

[tex]CJ = \sqrt{800}[/tex]

[tex]CJ = 28.3m[/tex]

By comparison, 28.3 m is less than 45.3 m.

Hence, Jamie is closer to Cameron than Arthur

Also, we have:

[tex]S=(35,60)[/tex]

To determine the closest to the soccer ball, we simply calculate the distance between each person and the ball using:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]AS = \sqrt{(20 - 35)^2 + (35 - 60)^2} = \sqrt{850} =29.2[/tex] --- Arthur

[tex]JS = \sqrt{(45 - 35)^2 + (20 - 60)^2} = \sqrt{1700} =41.2[/tex]  --- Jamie

[tex]CS = \sqrt{(65 - 35)^2 + (40 - 60)^2} = \sqrt{1300} =36.1[/tex] --- Cameron

By comparing the calculated values, 29,2 is the smallest.

Hence, Arthur is the closest to the soccer ball

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Related Questions

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Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Please help fast. I will give brainliest. Show work pls.

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Answer:

[tex] \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{ \frac{243 {a}^{11} }{9 {b}^{9} } } = \sqrt[3]{ \frac{27 {a}^{11} }{ {b}^{9} } } [/tex]

➡️ [tex] \sqrt[3]{ \frac{27 {a}^{11} }{ \sqrt[3]{ {b}^{9} } } } = \sqrt[3]{ \frac{ {3}^{3} • {a}^{9} • {a}^{2} }{ \sqrt[3]{ {b}^{9} } } } [/tex]

➡️ [tex] \frac{ \sqrt[3]{ {3}^{3 }} • \sqrt[3]{ {a}^{9} } • \sqrt[3]{ {a}^{2} } }{ \sqrt[3]{ {b}^{9} } } [/tex]

➡️ [tex] = \frac{3 {a}^{3} \sqrt[3]{ {a}^{2} } }{ {b}^{3} } [/tex] ✅

the basics of geometry

Answers

Answer:

go to MME click revise gcse maths and it would say geomatry foundtion  Step-by-step explanation:

Answer:

Step-by-step explanation:

point: the basic unit of geometry

line: it extends to 2 directions without any end

line Segment: it is a line but has end points eg the length of you book

(And there are a few types of lines like parallel lines and intersecting lines you can check that on You tube)

Rays: Rays are like line segments but has only 1 end point

curves: do i have to explain its just some squiggles

Polygons: polygons are shapes that are made up of straight line Segments

polygons are named based on the number of sides it has

3 sides: TRIANGLES

4 sides: QUADRILATERALS

5 sides: PENTAGONS

6sides : HEXAGONS and there are many more...

THERE WAY TOO MUCH LIKE ANGLES, INTEROR POINT, EXTEROR POINT, CIRCLES ETC sorry i can't explain that much......

a rectangular garden is fenced on all sides with 72 feet of spacing. The garden is 4 feet longer than it is wide. find the length and width of the garden

Answers

Answer:

the length is 20 feet and the width is 16 feet long

Step-by-step explanation:

How can i solve this?

Answers

Answer:

Perimeter is (8x + 4) units.

Step-by-step explanation:

[tex]{ \sf{perimeter = side + side + side}} \\ { \sf{p = (2x + 1) + (7x - 2) + (5 - x)}} \\ { \sf{p = (2x + 7x - x) + (1 - 2 + 5)}} \\ { \sf{p = 8x + 4}}[/tex]

Please answer this and simplify
Btw, the a, b, c stuff is the numbers, just replace each of them with the numbers including the powers. Where there is not a power put 1

Answers

Answer:

Step-by-step explanation:

(1/2)(x+3)(2x+4)

= x^2 + 5x + 6

a=1

b=2

c=5

d=1

e=6

I need help pleeeaaasss

Answers

the other answer is wrong, to do division you have to flip one of the fractions form the multiplication side, so the answer is 2/7

A regular hexagon has sides of 8 + 5m. Find the perimeter and write the expression in simplified form.

Answers

Answer:

48 + 30m

Step-by-step explanation:

The perimeter of a hexagon is 6 times its side length.

6(8 + 5m)

= 48 + 30m (Distributive property)

f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???

Answers

Answer:

f(g(25)) = -5

Step-by-step explanation:

You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:

g(5) = √25 = 5

f(5) = 5^2 -6•5

f(5) = 25 -30

f(5) = -5

Please help I will give brainliest!

Answers

Answer: 50%

Step-by-step explanation:

hope this helps !

He earns 300 reward points for every 100 dollars he spends. If he earned 1,800 reward points, how much money did he spend

Answers

Answer:

$600

Step-by-step explanation:

1800/300 = 6, so he got 6 'lots' of reward points

6 * 100 = $600

Answer:

He spent $600

Step-by-step explanation:

What you do is 1800/300= 6, so 100 × 6 = $600

x² + 4x from 5x² + x

Answers

That is,

(5x sq + x) - (x sq + 4x)

5x sq + x - (x sq + 4x)

5x sq - x sq + x - 4x

4x sq - 3x

for the sequence defined by tn=3n+8 find each indicated term
a) t1 b)t7 c)t14

Answers

Answer:

a) 11      b) 29      c) 50

Step-by-step explanation:

tn=3n+8

(a) t(1) = 3(1) + 8 = 11

(b) t(7) = 3(7) + 8 = 29

(c) t(14) = 3(14) + 8 = 50

The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form

Answers

The length of the third side is 4 7step-by-step the explanation- the perimeter of a triangle is 16 to the square root of 7 feet.

Answer:19

Step-by-step explanation:

because if it added it becomes that

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?​

Answers

Answer:

450

Step-by-step explanation:

The total is 100 %

20% + 35% +15% = 70%

100-70 = 30

He saves 30%

1500 * 30%

1500 *.30

450

G I V E N :

A man is paid $1500 salary. He spends 20% of the salary for his kids education, 35% for food, 15% for miscellaneous and he saves the rest. How much money does he save?

S O L U T I O N :

Total Income = $ 1500

According to the question,

He spends 20% to his kids education

He spends 35% for food

He spends 15% for miscellaneous

Out of total income he spends 20% on kids education

So, amount spent on kids education = 20% of $1500

Amount = 20/100 × $1500

Amount = $300

Hence, money spent on his kids education is $300

35% is spent on food

Money spent on food = 35% of $1500

Money spent = 35/100 × $1500

Money spent = $525

Hence, money spent on food is $525

15% is spent on miscellaneous

Money spent on miscellaneous = 15% of $1500

Money spent = 15/100 × $1500

Money spent = $225

Hence, money spent on miscellaneous is $225

Now, adding all the three we get

$300 + $525 + $225

$825 + $225

$1050

Total money spent = $1050

Remaining money = $1500 - $1050 = $450

Remaining amount left with him is $450

1 7/10 divided by 7/8

Answers

Answer:

68/35

Step-by-step explanation:

Answer:

1.94285714286 (Rounded to): 1.943

help me pls i don't understand the problem so can u give me the answers and also explain

Answers

Step-by-step explanation:

1)

[tex]\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .[/tex]

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

Please help me I need help for this

Answers

Answer:

the greatest common factor is 4a

4a is the greatest common factor

What is the product of 3x+4 and 6x^{2} −5x+7?

Answers

[tex](3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28[/tex]

I hope I helped you^_^






plz help me to solve this question....​

Answers

Answer:

1

or,x+60°=180°(Being the sum of supplementry angle is equal to 180°)

or,x=180°-60°

:x=120°

2

or,y=120°(Being corresponding angle)

Can someone explain how to do integers since I have a test today? Also can someone please help me with the sheet too so I could understand? :)

Answers

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

rationalise 2 divided by 2 square root 3​

Answers

Answer:

[tex]\displaystyle \frac{\sqrt{3}}{3}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{2}{2\sqrt{3}} = \frac{1}{\sqrt{3}} = \boxed{\frac{\sqrt{3}}{3}}[/tex]

I am joyous to assist you at any time.

please help 50 points.

Answers

Answer:

50° and 130°

Step-by-step explanation:

∠1 with 53° arc measure is vertical pair with 47° arc:

m∠1 = 1/2(53° + 47°) = 1/2(100°) = 50°

∠1 and ∠2 are forming a straight line:

m∠2 = 180° - 50° = 130°

53° and 47° angled arcs are vertical pairs

m<1=1/2(47+53)=50°

<1 and <2 are linear pair

m<2=180-50=130°

7.
The table shows the estimated number of deer living in a forest over a five-year period. Are the data best represented by a linear, exponential, or quadratic model? Write an equation to model the data.
Year
Estimated Population

0 91
1 70
2 54
3 42
4 32

A. quadratic; 0.77x2 + 91
B. exponential; y= 91 * 0.77x
C. linear; y= 0.77x + 91
D. quadratic; y= 91x2 + 0.77

Answers

Answer:

All I can say is that it isn't linear, as the number would then be the same every year

Answer:

B. exponential; y= 91 * 0.77x

Step-by-step explanation:

The Answer is A.

y=91*0.77^x

I just substituted the x on all of them and only one got the corrct y which is A.

Could someone do 14,15,and 16 for me? It would really help me out. Thank you!

Answers

Answer:

Step-by-step explanation:

13) LCM of 20 , 5 is 20

Find equivalent fraction for 2/5 with denominator 20

[tex]\dfrac{2}{5}=\dfrac{2*4}{5*4}=\dfrac{8}{20}[/tex]

Now compare

[tex]\dfrac{7}{20} \ < \dfrac{8}{20}\\\\\dfrac{7}{20} \ < \dfrac{2}{5}[/tex]

14) Convert fraction to decimal

[tex]\dfrac{1}{8}= 0.125[/tex]

0.15  > 0.125

[tex]0.15 \ > \dfrac{1}{8}[/tex]

15) 0.5 , -1/7  , -0.2  ; 1/3

[tex]\dfrac{-1}{7}=-0.14\\\\\dfrac{1}{3}=0.3\\[/tex]

0.5, - 0.14 , -0.2  ; 0.3

Least to greatest:

-0.2 ;  - 0.14   ; 0.3  ; 0.5

Answer:

-0.2  ; [tex]\dfrac{-1}{7} \ ; \dfrac{1}{3} \ ; \ 0.5[/tex]

Which of the following means the same as 2(3x – 4) ?

5x – 8

5x – 4

6x – 8

6x – 4

none of these

Answers

Answer:

6x - 8

Step-by-step explanation:

2(3x – 4)

Distribute

2*3x - 2*4

6x - 8

Answer:

answer C

6x minus 8

use distributive property

An alloy is made of copper and iron by weight. 42% of it is copper and the rest is iron. If the alloy weights 55 kg, find the weight of copper and iron

Answers

Answer:

percent of iron in alloy= 100-42 = 58%

weight of the iron = 55×58÷100= 31.9

weight of iron= 31.9 kg

weight of copper= 55-31.9=23.1

weight of copper = 23.1

Step-by-step explanation:

[ I'm not sure but I think this is right ]

Answer: copper = 23.1 kg

             iron = 31.9 kg

Step-by-step explanation:

copper = 42% of 55

             = 42/100 * 55

            = 42/20 * 11

           = 21/10 * 11

          = 231/10

          = 23.1 kg

  so iron = 100% - 42%

             = 58%

so

58% of 55

= 58/100 * 55

= 58/20 * 11

=31.9 kg

What is 22/5 subtract 11/6​

Answers

Step-by-step explanation:the LCM of 5 and 6 should be taken which is 30 the 22 should be multiplied with 6 11 to be multiplied with 5 so by subtracting their product we get the result as 77/30

please mark me the brainliest

yancy made a 1:14 scale model airplane. the model airplane's tail is 5.7 inches long what is the length of the actual airplane tail its modeled after? round to two decimals

Answers

Scale factor used by Nancy for the model of an airplane = 1 : 14

Length of the tail of the airplane = 5.7 inches

Scale factor is defined by the expression,

Scale factor = [tex]\frac{\text{Dimension of the image}}{\text{Dimension of the original}}[/tex]

By substituting the dimension of the model in the expression,

[tex]\frac{1}{14}=\frac{5.7}{\text{Dimension of the original}}[/tex]

Dimension of the original plane = 14 × 5.7

                                                     = 79.80 inches

Therefore, length of the tail of the actual airplane will be 79.80 inches.

Learn more,

https://brainly.com/question/11053144

Length of Actual airplane's tail is 79.8 inches or 6.65 ft

Given:

Scale model sample = 1 : 14

Length of model airplane's tail = 5.7 inches

Find:

Length of Actual airplane's tail

Computation:

Length of Actual airplane's tail = Length of model airplane's tail × Scale model sample

Length of Actual airplane's tail = 5.7 × 14

Length of Actual airplane's tail = 79.8 inches

Length of Actual airplane's tail = 79.8 inches or 6.65 ft

Learn more:

https://brainly.com/question/18134643?referrer=searchResults

Please can someone hell me with this!!!!!
Plzz any 1!!​

Answers

Step-by-step explanation:

I hope this makes sense...and is visible..

:)

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