what is the square root of 2 (the square root as a fraction)

Answer:

7884 Centemeters

Step-by-step explanation:

Answer:

absolute value is how many units it is away from 0. meaning that -6 and 6 both have an abosolute value of 6.

Step-by-step explanation:

Answer:

2.4 yards a day

Step-by-step explanation:

32,190 inches = 894.167 yards

894.167 / 365 = 2.4 yds/day

The conversion of 32,190 inches /year to yards/day yields: 2.4 yards/day

To convert 32190 inches/year to yards per day;

In essence, since 1 inch = 0.0278 yards.

Therefore, we have;

However, 365 days make one year;

Therefore,

= 2.4 yards/day.

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Answer :

663 Pennies can fit into a 22-inch circle

The required number of pennies fit in the circle is 13.

The formula of the area of the circle is [tex]A=\pi r^2[/tex]

As we know that the standard radius of a penny is 0.75 inch

So, the area of the one penny is,

[tex]A=\pi r^2\\A=3.14\times (0.75)^2\\A=1.77[/tex]

So, the total number of pennies fit in the 22-inch circle is,

[tex]n=\frac{22}{1.77} \\n=12.49\\n\approx 13[/tex]

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Answer:

From

m∠1 = m∠4  

m∠1 + m∠2 = m∠3 + m∠4

m∠2 = m∠3 [tex]{}[/tex]                                                Identity property

∠2 ≅ ∠3 [tex]{}[/tex]                                      [tex]{}[/tex]               Equal angles are congruent

Step-by-step explanation:

Given [tex]{}[/tex]                                                                            Reason

∠1 and ∠2 are supplementary    [tex]{}[/tex]             Given

Therefore;

m∠1 + m∠2 = 180°                              [tex]{}[/tex]       Supplementary ∠s sum up to 180°

∠3 and ∠4 are supplementary    [tex]{}[/tex]             Given

Therefore;

m∠3 + m∠4 = 180°                              [tex]{}[/tex]       Supplementary ∠s sum up to 180°

From which we have;

m∠1 + m∠2 = 180° = m∠3 + m∠4       [tex]{}[/tex]   [tex]{}[/tex]    Transitive property

m∠1 + m∠2 = m∠3 + m∠4

∠1 ≅ ∠4                          [tex]{}[/tex]                             Given

m∠1 = m∠4                                    [tex]{}[/tex]              Congruent ∠s have equal measure

Therefore;

m∠1 + m∠2 = m∠3 + m∠1              [tex]{}[/tex]         [tex]{}[/tex]   Transitive property

Therefore;

m∠1 + m∠2 - m∠1= m∠3 + m∠1 - m∠1       [tex]{}[/tex]Subtraction property

m∠1 - m∠1 + m∠2 = m∠3 + m∠1 - m∠1  [tex]{}[/tex]    

0 + m∠2 = m∠3 + 0                             [tex]{}[/tex]       Inverse property

Therefore;

m∠2 = m∠3 [tex]{}[/tex]                                                Identity property

∠2 ≅ ∠3 [tex]{}[/tex]                                      [tex]{}[/tex]               Equal angles are congruent.

Answer:

Answer:

tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles?

since the rate was 45 cents i multiplied 0.45 by 1.1 and got 0.495 and then i kept adding to the cost and 1/4 to the amount of miles until i got 3 1/8 miles. my answer was 4.715 so i rounded to 4.72, is that correct?Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{( - 2.5 \: , \: - 0.5)}}}}}[/tex]

Step-by-step explanation:

Let the given points be A and B

Let A( -8 , 5 ) be ( x₁ , y₁ ) and B ( 3 , -6 ) be ( x₂, y₂ )

Finding the midpoint

[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} , \: \frac{5 + ( - 6)}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 8 + 3}{2} \: , \: \frac{5 - 6}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( \frac{ - 5}{2} \: , \: \frac{ - 1}{2} )}}[/tex]

[tex] \dashrightarrow{ \sf{( - 2.5 \: , \: - 0.5 \: )}}[/tex]

Hope I helped !

Best regards!

Answer:

105

Step-by-step explanation:

LN = 6x

LN = LM + MN ➡ LN = 4x + 8 + 27 so 6x = 4x + 8 + 27

2x = 35 and x = 17.5

6 × 17.5 = 105

Answer:

105

Step-by-step explanation:

4x+8+27=6x

subtract 4x from both sides you get 35 = 2x

divide and get x= 17.5

you know LN = 6(x), so substitute 17.5 in for x and you get 6(17.5)= 105

Step-by-step explanation:

let the odd integers be a, a+2.

a+2=8+3a

collect like term

a-3a=8-2

-2a=6

a=-3

so the integers are -3, -1

Answer:6

Step-by-step explanation:

Answer:

if im right its 13.09 miles since perimiter is just the total length of the outside lines.

Step-by-step explanation:

Answer:

-4/3

Step-by-step explanation:

Slope= - 5-3/4+2

Slope= - 8/6

Slope = - 4/3

answer:

0.75 i think i'm not really sure i hope it helps tho

Step-by-step explanation:

Answer:

(-6,8) is your answer.

Step-by-step explanation:

1. 2x + 3y = 12

2. 2x +3 * 8 = 12

3. 2x + 24 = 12

4. 2x = -12

5. x = -6

So, our final answer is (-6,8)

Answer:

X = 5

Step-by-step explanation:

multiply what is in the ( )

-2 ( -2)

-2 ( 9)

3x -5 +2x -18 = 2

combine like terms

5x -23 = 2

add 23 to both sides

5x = 25

divide 25 by 5

X = 5

Answer:

x = 2

Step-by-step explanation:

2× = 4

x = 2

2x = 4

4/2 = 2

so...

2(2) = 4

x = 2

Answer:

176.58 m/s

Step-by-step explanation:

assume that the acceleration due to gravity, g = 9.81 m/s²

I also assume we neglect air resistance (hence we assume no terminal velocity)

recall that one of the equations of motions can be expressed as

v = u + at, where

u = initial velocity = 0 (because it says you started from rest)

v = final velocity (we are asked to find this)

a = acceleration due to gravity = 9.81 m/s²

t = time = given as 18s

simply substitute the above into the equation.

v = 0 + (9.81)(18)

v = 176.58 m/s

Answer:

Step-by-step explanation:

Given the speed of an object to be 4metres/month, we are to express the speed in inches/hour.

First we will need to convert 4meters to inches

From the conversion factors given,

1 foot (ft) = 0.305 meters (m)

x ft = 4metres

cross multiply

x * 0.305 = 4*1

x = 4/0.305

x = 13.115ft

4 metres = 13.115ft

Then we will convert 13.115ft to inches

From the conversion factors,

1 foot (ft) = 12 inches (in)

13.115ft = y

cross multiply

y = 13.115*12

y = 157.377 inches

Hence 4 metres = 157.77inches.

For 1 month to hour

First we need to convert month to days and from the conversion factor

1 month = 30 days

Next is to convert 30days to hours

Since 1 day = 24hours

30days = z

z = 30* 24

z = 720hours

Hence 1 month = 720hours

On converting 4metres/month to inches/hour

4metres/month = 157.77inches/720hours

4metres/month = 0.219inches/hour

Hence the speed of the object in inches per hour to the nearest hundredth is 0.22inches/hour

Step-by-step explanation:

Distance to school = (6km/h)(1/3h) = 2km

2km in 15 minutes = 8km in 60 minutes.

Hence his speed should be 8km/h.

Answer:

-250

Step-by-step explanation:

It was right on edge

Answer:

The answer is -250

Step-by-step explanation:

it was on edge and i got it right

Answer:$ 44.70

Step-by-step explanation: 250/1.3687 = 182.655-150 =32.655 times 1.3687

Answer:

He has 45 USD left.

Step-by-step explanation:

250 USD = 212 Euros. 250 - 212 = 38. 38 euros - about 45 USD, rounded.

Answer:9.072×10³

Step-by-step explanation:

A number is said to be written in a scientific notation or standard form if it is expressed in the form a×10n where 1 is less than or equal to a and a is less than 10 and n is an integer

9072 is more than 10

So 9072÷10=907.2

Still 907.2 is more than 10

So 907.2÷10=90.72

Still 90.72 is more than 10

So 90.72÷10=9.072

9.072 is less than 10

We divided 9072 by 1000 and 1000 as a power of ten is 10³

So the answer is 9.072×10³

Answer:

9.07210

math it's so fun right? :)

Answer:

the answer is 104

Step-by-step explanation:

1= 16

6= 96

0,5=8

Answer:

x=7

Steps:

12=x+7-2

12= x + 7 - 2

12 = x + 5

-x = 5 - 12

-x = -7

x = 7

Answer:

3[1/2(3.50)+1.35]Step-by-step explanation:

The expression for new cost is 3(3.50/2 + 1.35)

A mathematical statement that consists of two expressions connected by an equal sign is called an equation.

Given the cost of popcorn is half when movie is half over,

according to question

original cost of popcorn = 3.50

cost at interval = 3.50/2

cost of drink = 1.35

cost of 3 drink = 3 x 1.35

cost of 3 popcorn = 3 x 3.50/2

expression for new cost for 3 orders of popcorn and 3 drinks

3 x 3.50/2 + 3 x 1.35

= 3(3.50/2 + 1.35)

Hence the expression is 3(3.50/2 + 1.35)

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Answer:

The nurse should use 200cc of the 10% saline solution in order to produce a 20% saline solution.

Step-by-step explanation:

to the given mix we add a quantity of a lower mix to generate another.

50cc at 60% + Xcc at 10% = (50 + X)cc at 20%

50 x 60% + X x 10% = (50 + X) x 20%

30 + 0.1X = 10 + 0.2X

30 - 10 = 0.2X - 0.1X

20 = 0.1X

20/0.1 = X

X = 200

Answer:

-6 only

Step-by-step explanation:

i just did the test

Answer: Rotation

Step-by-step explanation:

From the figure , we can observe that both figure A and b are absolutely congruent.

To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)

It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .

It cannot be reflection because both figures are not mirror images.

It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.

Answer:

2(3x+2)(x+4)

Step-by-step explanation:

6x^2+28x+16

first : 2 as a common factor:

2(3x²+14x+8)   then factorize

2(3x+2)(x+4)