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Answer:

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Step-by-step explanation:

The equation of the circle is represented by the following expression:

[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]h[/tex], [tex]k[/tex] - Coordinates of the center of the circle.

[tex]r[/tex] - Radius of the circle.

If we know that [tex]h = 0[/tex], [tex]k = 0[/tex] and [tex]r = 2[/tex], then the equation of the circle is:

[tex]x^{2} + y^{2} = 4[/tex] (1b)

Then, we clear [tex]y[/tex] within (1b):

[tex]y^{2} = 4 - x^{2}[/tex]

[tex]y = \pm \sqrt{4-x^{2}}[/tex] (2)

If we know that [tex]x = 1[/tex], then the y-coordinate of point A is:

[tex]y = \sqrt{4-1^{2}}[/tex]

[tex]y = \sqrt{3}[/tex]

The y-coordinate of point A is [tex]\sqrt{3}[/tex].  

Given:

In a triangle, length of one side is 8 inches and length of another side is 12 inches, and an angle is a right angle.

To find:

The length of the missing side.

Solution:

In a right angle triangle,

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Suppose the measures of sides adjacent to the right angle are 8 inches and 12 inches.  

Substituting Perpendicular = 8 inches and Base = 12 inches, we get

[tex]Hypotenuse^2=8^2+12^2[/tex]

[tex]Hypotenuse^2=64+144[/tex]

[tex]Hypotenuse^2=208[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=\sqrt{208}[/tex]

[tex]Hypotenuse=14.422205[/tex]

[tex]Hypotenuse\approx 14.4[/tex]

The length of the missing side is 14.4 inches. Therefore, the correct option is D.

Answer:

3/8

Step-by-step explanation:

We can write the entire book with the number 1. Now we can write this operation

3/8 + 1/4 + x = 1

3 + 2 + 8x = 8

5 + 8x = 8

8x = 3

x = 3/8

Answer:

21 degrees

Step-by-step explanation:

I did it on the calculator

Answer:

= c^4 d^8 a^2

Step-by-step explanation:

Apply exponent rule: aa= a^2

= c^3 da^2 cd^7

= c^4 da^2 d^7

= c^4 d^8 a^2

Answer:

the

Step-by-step explanation:

it's fairly easy actually. You just have to use sin

Answer:

D, 4√7

Step-by-step explanation:

Answer:

Step-by-step explanation:

c = 16

a = 12

b = ?

a^2 + b^2 = c^2

12^2 + b^2 = 16^2

144 + b^2 = 256

b^2 = 256 - 144

b^2 = 112

b^2 = 16 * 7

sqrt(b^2) = sqrt(16)*sqrt(7)

b = 4 * sqrt(7)

Answer:

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

Step-by-step explanation:

Given

[tex]f(x) =x^2 -x - 6[/tex]

[tex]g(x) = 2x^2 + 5x + 2[/tex]

Required

[tex](\frac{f}{g})(x)[/tex]

This is calculated as:

[tex](\frac{f}{g})(x) = \frac{f(x)}{g(x)}[/tex]

So, we have:

[tex](\frac{f}{g})(x) = \frac{x^2 - x - 6}{2x^2 + 5x + 2}[/tex]

Expand

[tex](\frac{f}{g})(x) = \frac{x^2 +2x - 3x - 6}{2x^2 + 4x+x + 2}[/tex]

Factorize

[tex](\frac{f}{g})(x) = \frac{x(x +2) - 3(x + 2)}{2x(x + 2)+1(x + 2)}[/tex]

Factor out x + 2

[tex](\frac{f}{g})(x) = \frac{(x- 3)(x + 2)}{(2x + 1)(x + 2)}[/tex]

Cancel out x + 2

[tex](\frac{f}{g})(x) = \frac{x- 3}{2x + 1}[/tex]

Answer: Around 37.3

Step-by-step explanation:

[tex]tan(63)=\frac{x}{19} \\\\x=19*tan(63)=37.2895996...[/tex]

Answer:

37.3

Step-by-step explanation:

tan (63)=x/19

x=19×tan(63)=37.3

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

The two right triangles share angle A, so the similarity statement can be written ...

  ΔABC ~ ΔADE

Corresponding sides are proportional, so we have ...

  BC/DE = AB/AD

  x/12 = 3/(3+9)

  x = 3 . . . . . . . . . . multiply by 12

Answer:

x=3

this is correct!!!

9514 1404 393

Answer:

  4. True

  5. False

Step-by-step explanation:

4. The number of x-intercepts produced by the quadratic formula may be 0, 1, or 2. It will be 0 if the two roots are complex. It will be 1 if the two roots lie in the same place (one root with multiplicity 2). It is true that there may be only one x-intercept.

__

5. The value of 'b' in the quadratic formula is the coefficient of the linear term. In the given quadratic, it is -5, not 5.

Answer:

1/8

Step-by-step explanation:

Using the factor tree, we see that there is 8 possible outcomes ( right hand side)

There is only 1 way to go from left to right and have 3 wins

P(3 wins) = good outcomes / total

               =1/8

42-x=58

or, -x=58-42

with change in side sign also chamges we change sides to make like terms in one side and unlike in amother side.

or, -x= 16

or,x=-16.

therefore x=-16...

Hope this helps you.

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

Answer:

Percentile rank:

12  =  7th

28 = 21st

35  = 36th

42  = 50th

47  = 64th

49   = 79th

50 =  93rd

- Vth number i.e. 47 is the value that corresponds to the 60th percentile.

Step-by-step explanation:

As we know,

Percentile rank = [(Number of values below x) + 0.5]/total number of values * 100

For 12,

Percentile rank = [0 + 0.5]/7 * 100

= 7th

For 28,

Percentile rank = [1 + 0.5]/7 * 100

= 21st

For 35,

Percentile rank = [2 + 0.5]/7 * 100

= 36th

For 42,

Percentile rank = [3 + 0.5]/7 * 100

= 50th

For 47,

Percentile rank = [4 + 0.5]/7 * 100

= 64th

For 49,

Percentile rank = [5 + 0.5]/7 * 100

= 79th

For 50,

Percentile rank = [6 + 0.5]/7 * 100

= 93rd

Now,

n = 7

60th percentile = 60% of n

So,

60% of n = 60/100 * 7

= 0.6 * 7

= 4.2

After rounding it off,

5th value is the 60th percentile i.e. 47.

Answer:

Low-value method

Step-by-step explanation:

consumers group

Answer:

Exact heights of the next 100 babies born in a region.

Step-by-step explanation:

A discrete random variable involves two key factors ; discrete and randomness ; Hence, a discrete random variable should have a finite or countable Number of outputs or values. It should also stem from a random procedure. Here, the height of the next hundred babies is a random procedure as the next 100 babies in the region are unknown until Given birth too and as such all pregnant women have the chance of having their babies among. Since, we are dealing with exact height values which are countable (100), then we this is a discrete random variable.

66 because you have to solve the problem next time

Answer:

✓ x gal of 25% 20-x gal of 5% pure alcohol is x(.25)+(20-x)(.05)=20*.16=3.2 so .25x+1-.05x=3.2 gallons of 25% .20x=2.2 gallons of 5% x=11 gallons of 25%.

Step-by-step explanation:

Hope this helps~ ;D

Answer:

-6

Step-by-step explanation:

2 - [6 ÷ 2 + {6 × 1/2 + (7/2 - 3/2)}] =

Follow the correct order of operations.

Do one step at a time and copy everything else each time, so you don't lose track of any operation.

= ​2 - [6 ÷ 2 + {6 × 1/2 + 4/2}]

= 2 - [6 ÷ 2 + {6 × 1/2 + 2}]

= 2 - [6 ÷ 2 + {3 + 2}]

= 2 - [6 ÷ 2 + 5]

= 2 - [3 + 5]

= 2 - 8

= -6

Answer:

-6

hope this helps

Step-by-step explanation:

2_(6÷2+(6*1/2+(7/2-3/2))) solve the ones in bracket first

(7/2-3/2)=2

2-(6÷2+(6×1/2+2))

6×1/2+2

6×1/2=3

3+2=5

2-(6÷2+5)

6÷2=3

3+5=8

2-8

=-6

Answer: D

Step-by-step explanation:

When a coordinate is reflected over the y-axis, it changes from (x, y) to (-x, y)

The three coordinates of ΔCDE are

After the y-axis reflection, they'll become:

I hope this is correct :\

Answer:

f (n + 1) = -2 f(n)

Step-by-step explanation:

Answer:

9.42

Step-by-step explanation:

The circumference of a circle is calculated using the following formula:

C=2πr (C: circumference, r : radius)

radius here is 6 and π  is given as 3.14

2*(3.14)*6 = 18.84 now divide this by 2 to find the length of semicircle

18.84/2 = 9.42

Answer:

6π

Step-by-step explanation:

Answer:

[tex]{ \tt{y = 2x}}[/tex]

Answer:

2y=x

Step-by-step explanation:

C. Dilation.

Dilation can resize the image.

Translation will shift the imagine's position but won't change its actual size.

Rotation will mangle with image's orientation but also won't change its size.

Reflection is just a type of rotation which as established, also won't change its size.

Hope this helps.

Answer:

deflation ,,,,

Step-by-step explanation:

Deflation must have existed during the second 9-year period.

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. This means that the purchasing power of money increases, as the same amount of money can buy more goods and services.

The opposite of inflation, which is an overall rise in the cost of goods and services over time, is deflation. Money loses value due to inflation, whereas it gains value due to deflation. Deflation can reduce demand for goods and services, though, if it lasts for a long time. This is because customers may put off purchases in expectation of cheaper costs. A downturn in economic activity may follow, which would be bad for the economy.

Given data ,

Deflation is a decrease in the general price level of goods and services in an economy over a period of time. A decrease in the Consumer Price Index (CPI) is a measure of deflation.

In the first 9-year period, the CPI decreased by 45%, which indicates a significant deflationary period. In the next 9-year period, the CPI decreased by only 5%, which still indicates a deflationary period, but not as severe as the previous one.

Hence , the process is deflation in the second year

To learn more about deflation click :

https://brainly.com/question/30060490

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Answer:

b 25x6 = 150

25 decreases every month so

150 decreses every 6 month

800-150

650 are the bees remaining after 6 month

Answer:

104 m^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w = 10*8 = 80

Then find the area of the triangle

A = 1/2 bh = 1/2 (8) * 6 = 24

Add the areas together

80+24 = 104 m^2