Write the equation of the circle graphed below

[tex][6(\cos 70^{\circ} + i \sin 70^{\circ})]^3\\\\=6^3[ \cos ( 3 \times 70)^{\circ} + i \sin ( 3 \times 70)^{\circ}]\\\\=216 [\cos(210^{\circ}) + i \sin( 210^{\circ})]\\\\=216[\cos(2\times 90^{\circ} + 30^{\circ}) + i \sin( 2 \times 90^{\circ} + 30^{\circ})]\\\\=216[-\cos 30^{\circ}-i\sin 30^{\circ}]\\\\=216\left[-\dfrac{ \sqrt 3} 2 - i \cdot \dfrac 12 \right]\\\\=-108\left(\sqrt 3 +i \right)[/tex]

Answer:

4 and one-fourth less-than or equal-to 2k

Step-by-step explanation:

4 and one-fourth is no more than 2k

i.e,4 and one-fourth can be equal or less than 2k

pls mark brainliest:)

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:

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.

Answer:

The answer is 1:15

That means for every 1 chaperone, there is 15 students

Answer:  estimation=24

Step-by-step explanation:

2.4 is rounded down to 2

so she would do 2×12=24

Answer:

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

Step-by-step explanation:

Answer:

3 inches

Step-by-step explanation:

48 - 45 = 3

Check the picture below.

Make sure your calculator is in Degree mode.

all sides of a rectangular prism would be rectangles.

Answer: c. 6 rectangles only

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:

Step-by-step explanation:

5x is greater than -20 because if you look at the worst possible solution which is 5(0) it's still larger than -20 because of the number line 0 is greater than -20 so yes 5x is greater than -20

Answer:

10

explanation:

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:

15.945°

Step-by-step explanation:

tan A = opp/adj

You are correct to use the tangent function.

You are also correct in writing

tan (B) = 2/7

You are not finding the tangent of a degree angle measure.

You are doing the opposite. You know what the tangent of an angle equals, and you need to find out the angle measure.

For that, you need to do the inverse tangent.

If you have a calculator, divide 2 by 7.

Then press the second function key followed by the tangent key.

The tangent key has "tan".

The second function on the tangent key is the inverse tangent, and its symbol is [tex] \tan^{-1} [/tex].

In this case, the exponent -1 is not really an exponent. It really is function notation for the inverse function.

[tex] \tan^{-1} \dfrac{2}{7} = 15.945^\circ [/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

Learn more about calculation on:

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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:

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,

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:

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:

a = √3 * r

a = √3 * 10

a = 10√3 cm

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

For absolute values   | x |    just drop the sign of the number and make it positive

  example :     | -3|  = 3

so for this Q

-2  1/4     - 1  1/4     3/4     1  1/4    1  3/4     2 1/4

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

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

57d= 27

d= 27÷57

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

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.