show that a square b square c square are in AP if and only if 1/b + c ,1/c+ a,1/ a + b are in AP​

Answer:

3 and 5/12

Step-by-step explanation:

[tex]4 \frac{3}{4} = \frac{19}{4}\\ \\1\frac{1}{3} = \frac{4}{3}[/tex]

[tex]\frac{19}{4} - \frac{4}{3} \\\\\frac{19(3) - 4(4)}{12} \\\\\frac{57 - 16}{12} \\\\\frac{41}{12} \\[/tex]

This fraction is equivalent to,

[tex]3 and 5/12 = 3\frac{5}{12} = \frac{12*3 + 5}{12} = \frac{41}{12}[/tex]

Answer:

n = -1 , 3.5

Step-by-step explanation:

Move the terms to the left side and set equal to zero. Then set each factor equal to 0

Answer:

3710

Step-by-step explanation:

The  mean absolute deviation of the seven sandwiches is 85.31 calories.

Mean is the average of a group of numbers. The mean absolute deviation (MAD) is calculated using:

[tex]MAD=\frac{\Sigma_{i=1}^n|x_i-mean|}{n} \\\\Mean=\frac{740+610+490+370+500+510+460}{7}= 525.71\\\\MAD=\frac{|740-525.71|+|610-525.71|+|490-525.71|+|370-525.71|+|500-525.71|+\\|510-525.71|+|460-525.71|}{7} \\\\\\MAD=85.31[/tex]

The  mean absolute deviation of the seven sandwiches is 85.31 calories.

Find out more on mean at: https://brainly.com/question/1136789

Answer:

9,6 good luck with the answer

answer: (9,0). bc moving down is in the y axis. subtract 3 from (9,3) and it equals (9,0)

Answer:

15.5

Step-by-step explanation:

3rd side =x

3x-6  +2x-3+x =90

6x-3 =90

6x =93

x= 15.5

3(15.5)-6=40.5

2(15.5)+3=34

40.5+34+15.5 =90

Answer:

0≤x≤169/9

Step-by-step explanation:

Answer:

410

Step-by-step explanation:

Every sequence 102 gets added

'

A is smaller by 1/5 of b

So if you add a and 1/5 of b you would have b:

a + 1/5b = b

Solving for a you have:

A = b - 1/5b = 4/5b

A = 4/5b

Solving for b divide both sides by 4/5:

B = 5/4a

Since 4/4 = 1, this means b I’d bigger than a by 1/4

The answer = 1/4

Answer:

6 pounds

Step-by-step explanation:

2 1/2 + 3 /1/3 + 1/6 = 6

Answer:

1. 0.39

2. 0.126

3. 5%

4. 125%

hope this helped!

Answer:

432 in.^3 or D.

Step-by-step explanation:

Answer:

D) 432 in³

Step-by-step explanation:

4 x 6 = 24

5 x 6 = 30

30 + 24 = 54

54 x 8 = 432

Answer:

The second option 5x.

Step-by-step explanation:

Because it says 'x inches each' knowing that it said 5 before that. (5x) no math included just wording and phrasing :)

Answer: 108 cm

Step-by-step explanation: Formula for square triangle is

SA=

Answer:

its 36 can you give me brainlyyy pleaasee

Answer:

36

Step-by-step explanation:

18 goes into 9 but not 12.

24 goes into 12 but not 9.

36 goes into 9 also into 12.

48 goes into 12 but not 9.

Hope this helps!

Answer:

-32

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

=5×15

Answer:

20-24

Step-by-step explanation:

you can see that when you find the middle of the total data the data set left is in the 20-24 category

hope this helps! :)

Answer:

6.69 cm

Step-by-step explanation:

Given data

Diameter= 12cm

Radius= 6cm

Volume= 757.36cm^3

The expression for the volume of a cylinder is

V= πr^2h

Substitute

757.36= 3.142*6^2*h

757.36=113.112h

h= 757.36/113.112

h= 6.69 cm

Answer:

[tex]162\sqrt{3}[/tex]

Step-by-step explanation:

The equation for finding the area of a hexagon with a side length is

[tex](s^23\sqrt{3} )/2[/tex]

insert [tex]6\sqrt{3}[/tex]

and you are left with 162\sqrt{3}

Hope that helps :)

Answer:

[tex] \displaystyle E)\: 162 \sqrt{3} [/tex]

Step-by-step explanation:

we are given a side a polygon

and said to figure out the area

recall the formula of regular polygon

[tex] \displaystyle \: \frac{ {na}^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{n} \right) [/tex]

where a represents the length of a side

and n represents the number of sides

the given shape has 6 sides

and has a length of [tex]\displaystyle 6\sqrt{3}[/tex]

so our n is 6 and a is 6√3

substitute the value of n and a:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ {180}^{ \circ} }{6} \right) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{ {6 \cdot \:( 6 \sqrt{3} })^{2} }{4} \cot \left( \frac{ { \cancel{180}^{ \circ}} ^{ {30}^{ \circ} } }{ \cancel{6 \: } } \right) [/tex]

[tex] \displaystyle \: \frac{6 \cdot \: (6 \sqrt{ {3} } {)}^{2} }{4} \cot( {30}^{ \circ} ) [/tex]

simplify square:

[tex] \displaystyle \: \frac{6 \cdot \: 36 \cdot \: 3 }{4} \cot( {30}^{ \circ} ) [/tex]

reduce fraction:

[tex] \displaystyle \: \frac{6 \cdot \: \cancel{36} \: ^{9} \cdot \: 3 }{ \cancel{ 4 \: } } \cot( {30}^{ \circ} ) [/tex]

[tex] \displaystyle \: 6 \cdot \: 9 \cdot \: 3 \cot( {30}^{ \circ} ) [/tex]

simplify multiplication:

[tex] \displaystyle \: 162\cot( {30}^{ \circ} ) [/tex]

recall unit circle:

[tex] \displaystyle \: 162 \sqrt{3} [/tex]

hence, our answer is E

Answer:

1. (3,-1)

2. Right

3. 3

4. 6

5. (6,-1)

6. x=0

Explanation: Took the test

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

The car's acceleration was 3.73 metre per second square = 3.73m/s²

Step-by-step explanation:

The car accelerated from rest.

initial velocity (u) = 0m/s

final velocity (v) = 25miles/hr = 11.2m/s

time (t) = 3s

a = ?

v = u+at

a = (v-u)/t

a = (11.2 - 0) / 3

a = 11.2/3

a = 3.73

a = 3.73m/s²

a

Answer:

sides: scalene (no sides are the same length)

angles: obtuse (an angle is over 90°)

Answer:48.85 hr

Step-by-step explanation:

Given

The length of the train track is [tex]L=850\ miles[/tex]

the average speed of the train is [tex]v_{avg}=850\ mph[/tex]

If this track is laid on to a big circle, then the length is equivalent to the circumference

time is taken to cover the circumference is given by

[tex]\Rightarrow t=\dfrac{L}{v}\\\\\Rightarrow t=\dfrac{850}{17.4}=48.85\ hr[/tex]

Answer:

41

Step-by-step explanation:

Let the odd number be x

Therefore,

[tex](x + 1) + (x + 3) < 90 \\ 2x + 4 < 90 \\ 2x < 86 \\ x < 43[/tex]

Therefore, Largest possible odd number of x is 41