find the length of a diagonal of a square whose side is 2 cm​

Answer:

8000

Step-by-step explanation:

Natalie

Divide 40k by 2 to get 20k and divide 20k by 5 to get 4k we are at 10%

4k / 5 = 800 that means that every 2% is 800 now we multiply by 4x

To get 8% and we get 3200 and multiply by 20 representing the yrs

3200 x 20 = 64k + 40+ = 104k

Mackenzie

40k divide by 2 to get 50% 40k / 2 = 20k and now we divide by 5 to get 10% 20k / 5 = 4k now we divide by 10 to get the amount of each percents worth 4k / 10 = 400 we multiply by 9 to get the compounded interest

400 x 9 = 3600 multiply by 20 to get the compounded daily investment after 20yrs 3600 x 20 = 72k + 40k = 112k

112k - 104k = 8k

Answer:

32000000

Step-by-step explanation:

3.2 x 10 = 32

you will have 10^6 left

32 x 10^6 = 32000000

just add 6 zeroes

Answer:

32, 000, 000.

Step-by-step explanation:

3.2 x 10^7      <======= move the decimal 7 places to the right

32,000,000.

Check the picture below.

Make sure your calculator is in Degree mode.

Answer:

$100

Step-by-step explanation:

$300-$200=$100

or

$200+$100=$300

Answer:

50%

Step-by-step explanation:

Answer:

0 = x² - 9x + 20

4 is a solution for the system.

Step-by-step explanation:

y + 5x = x² + 10

y = 4x -10

Replacing the value of y in the first equation. This method is called sustitution.

(4x -10) + 5x = x² + 10

4x - 10 + 5x = x² + 10

4x + 5x - 10 = x² + 10    organizing.

9x - 10 = x² + 10             sum of similar terms.

0 = x² + 10 -9x + 10       organizing.

0 = x² - 9x + 10 + 10       organizing.

0 = x² - 9x + 20              sum of similar terms.

What happens if replace 4 in the equation.

0 = 4² - 9(4) + 20

0 = 16 - 36 + 20

0 = -20 + 20

0 = 0                            I find that 4 is a solution for the system.

The sum of the first thirteen terms of the geometric series is -7971615.

This is the sum of an infinite number of terms that has a constant ratio between successive terms.

To calculate the sum of the first thirteen terms of the geometric series, we use the formula below.

Formula:

Where:

Given:

Substitute these values into equation 1

Hence, the sum of the first thirteen terms of the geometric series is -7971615.

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Answer:

A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]

Step-by-step explanation:

Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]

This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]

Step-by-step explanation:

given points (2,0) and (-1,1)

let A(2,0) and B(-1,1)

A(2,0) B( -1,1 )

(x1 , y1) (x2 , y2)

AB = √(x2 - x1)² + (y2 - y1)²

= √(-1 - 2)² + ( 1 - 0 )²

= √(-3)²+ 1²

= √9 + 1

= √10

Therefore,distance between given points is √10

The maximum amount of water that can be used by each house on a daily basis is 100 liters.

From the information given, the gated community consists of 40 houses and requires 500 liters of water everyday for common utilities of the community.

The maximum amount of water that can be used by each house on a daily basis will be:

4500 = 40x + 500

40x = 4500 - 500

40x = 4000

x = 4000/40

x = 100

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Answer:

10

explanation:

Answer:

3 inches

Step-by-step explanation:

48 - 45 = 3

Answer:

4080 hits.

Step-by-step explanation:

By proportion that would be 1700 * 24/10

= 4080.

Answer:

[tex]2 ^ { 4 } x \div 2x=64\\2^{4}x^{2}=128 \\16x^{2}=128 \\x^{2} = 128 \div 16\\x^{2}=8 \\x = \pm 2\sqrt{2}[/tex]

Answer: no solution  or  x ∈ Ø

Step-by-step explanation:

(2⁴ × x) ÷ 2x = 64

16x ÷ 2x = 64

[tex]\frac{16x}{2x} = 64[/tex]

8 = 64

8 = 64, x [tex]\neq[/tex] 0

8 = [tex]8^{2}[/tex]

2 = ㏒₈ 8

2 = 1

Answer:

$42.78

Step-by-step explanation:

explanation is on the picture

Answer:

f(x) = (x − 1)2(x + 1)(x − 3)

Step-by-step explanation:

Look at where the red line crosses/ touches the x-axis. This will give you the zeros.

It crosses at -1, touches at 1, and crosses again at 3

This means the zeros are -1, 1 and 3

Now, you need to have (x+1) (x-3) and (x-1) as factors.

Therefore, the answer is f(x) = (x − 1)2(x + 1)(x − 3).

Answer:

Below in bold.

Step-by-step explanation:

x^2 + y^2 - 8x + 12y + 40 = 0

x^2 - 8x + y^2 + 12y = -40

Complete the square on the x and y terms:-

(x - 4)^2 - 16 + ( y + 6)^2 - 36 = -40

(x - 4)^2 + (y + 6)^2 = -40 + 16 + 36

(x - 4)^2 + (y + 6)^2 = 12

So the centre is at (4, -6) and the radius is √12.

Answer:

The circle is centered at (4,-6) and has a radius of √12.

Step-by-step explanation:

The standard form for the circle equation is:

[tex](x-a)^2+(y-b)^2=r^2[/tex]

You have:

[tex]x^2+y^2-8x+12y+40=0[/tex]

First complete the square for the 'x' terms:

[tex](x^2-8x+40)+y^2+12y=0[/tex]

[tex](x^2-8x+16-16+40)+y^2+12y=0[/tex]

[tex](x^2-8x+16)+y^2+12y+24=0[/tex]

[tex](x-4)^2+y^2+12y+24=0[/tex]

The 'x' terms are now in standard form. Work on the 'y' terms by completing the square once again:

[tex](x-4)^2+(y^2+12y+36-36+24)=0[/tex]

[tex](x-4)^2+(y^2+12y+36)-12=0[/tex]

[tex](x-4)^2+(y+6)^2-12=0[/tex]

Add the 12 to the other side:

[tex](x-4)^2+(y+6)^2=12[/tex]

The circle is centered at x = 4, y = -6, and has a radius of √12.

Answer:

From what we know about percentages and unit rates, the correct options are:

1) 100

2) 1

What is a percent?

Suppose we have an amount A, this would be the 100%.

If we want to know how much a quantity B represents, compared to A, we have:

A = 100%

B = x

where x is a percentage, to find the value of x we compute:

x = (B/A)*100%

While there is a dependence on A, we actually are comparing the term with 100 (because A represents a 100%), so the correct option is A: 100

PLS MARK ME AS THE BRAINLIST!!!

Answer:

$227,373.3

Step-by-step explanation:

85% of 38,214 is 32,481.9

If 32,481.9 will spend at least $7.00 on food that will give us $227,373.3

Answer:  estimation=24

Step-by-step explanation:

2.4 is rounded down to 2

so she would do 2×12=24

Answer:

a = √3 * r

a = √3 * 10

a = 10√3 cm

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

A.

B.

C.

#1

m<5 and m<10 are alternative and equal

#2

They are supplementary

#3

Alternate angles are equal

70d+6-9d=35+4d-2

70d-9d-4d= 35-2-6

57d= 27

d= 27÷57

Answer:

Look at the explanation.

Step-by-step explanation:

To begin with, the center of a circle is obviously the point in the middle of the circle and it has the same distance where ever you distance the center point from a point on the edges. Hope this makes sense so far. The diameter is from one point of the circle to another point of the circle and the diameter is in the middle meaning if you folded the circle upon the diameter it should be half and half. Radii are half of the diameter. Chords of a circle are  "the line segment joining any two points on the circumference of the circle".

So now:

Center is Point F, Radii could be segments FU or Segment KF, Diameter is KU, Chords of the circle could be Segment, VL, GL, or DX. I hope this is correct and hope it helps....

Answer:

Step-by-step explanation:

Center

Which point is the center is just a guess. You are intended to say F.

Radii

A radius is a line that goes from the  center of a circle to the circumference.

Chord

A chord is a line segment that joins two points on the circumference. Believe it or not, the diameter of a circle is a chord.

Diameter

KU

Answer:

Don't understand retype your question

Answer:

48 workers earn $75 a day.

Step-by-step explanation:

Let x people earn 75 a day then 60-x earn 100 dollars a day.

Average is $80 a day so total paid out to the 60 workers

= 60*80 = $4800.

So  75x + 100(60-x) = 4800

75x + 6000 - 100x = 4800

6000 - 4800 = 100x - 75x

1200 = 25x

x = 48.

Answer:

A supplementary angle plus another angle = 180 degrees

Angle AOB is the supplementary angle

A straight line = 180 degrees so,

So angle AOD + angle AOB = 180 degrees

Angle AOB is the supplementary angle.

Step-by-step explanation:

Answer:

He walked 1/16 of an entire mile in 1 minute

Step-by-step explanation:

Answer:

it is the there'd one

if this is wrong sorry

Answer:

Image attached below.

Step-by-step explanation:

Hello!

First let's isolate y:

This means that we are looking at all the values on the coordinate plane that are above the line y = -15.

The red shaded region is the solution region. Note that -15 is not a solution of y > -15 (the dotted line indicates that).

Answer:

8.6

Step-by-step explanation:

If we know 10% of a number is 4.3, we can easily find 20% of the number as well.

We know 20% is 2 times 10%.

Therefore,