The diameter of circle is 4cm. Determine the are of the circle.

Answer:

B.]2

Step-by-step explanation:

The required positive value of n is 2. Hence, option B is correct.

Important information:

It is given that m is inversely proportional to the square of n. So,

[tex]m\propto \dfrac{1}{n^2}[/tex]

[tex]m=\dfrac{k}{n^2}[/tex]           ...(i)

Where, k is the constant of proportionality.

Substitute m = 6 and n = 3 in the above equation.

[tex]6=\dfrac{k}{3^2}[/tex]

[tex]6=\dfrac{k}{9}[/tex]

[tex]6\times 9=k[/tex]

[tex]54=k[/tex]

Substitute this value in (i).

[tex]m=\dfrac{54}{n^2}[/tex]

Substitute m = 13.5 in the above equation.

[tex]13.5=\dfrac{54}{n^2}[/tex]

[tex]n^2=\dfrac{54}{13.5}[/tex]

[tex]n=\pm \sqrt{4}[/tex]

[tex]n=\pm 2[/tex]

Therefore, the required positive value of n is 2. Hence, option B is correct.

Find out more about 'Inverse proportion' here:

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Answer:

30°

Step-by-step explanation:

•angle 8 would be the same as angle 6

•angle 6 is next to angle 3

•if you were to add angle 6 and 3 it should equal 180°

180-150=30°

i rlly hope this is correct and helps <3

I believe it to be $369

Answer:

this is way to hard

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 a. she has $10 in 5 days.

2 b. she 5 days.

1 a. 1 1/2 divided by 6=0.27 27/100

1 b. 3/4+1/3= 0.58 58/100=29/50

1 c. 1/12

Answer:

x < -6

Step-by-step explanation:

Answer:

-7 or x <-6

Step-by-step explanation:

To add to a number that’s in a subtracting equation you must use a negative number because a negative with a subtraction equals adding

Answer: twin primes

Step-by-step explanation: 27 is 2 more then 25, therefore, they are twin primes.

Answer:

approximately 55.43 or [tex]4\sqrt{192}[/tex]

Step-by-step explanation:

1) draw line down middle of said triangle and split it in half

2) since the area of the triangle is 1/2 b * h we can solve

3) we know that the base is 8 (16 split in 1/2)

4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height

5) a= 8 b= ? c= 16

6) 16^2=256 8^2= 64  256-64=b^2

7) b=[tex]\sqrt{192}[/tex]

8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43

You can check by substituting the numbers back into the Pythagorean theorem and see if they match up

Answer:

1855.875

Step-by-step explanation:

All you have to do is multiply them together.

HOPE this helped!!

Answer:

3x - 8

Step-by-step explanation:

We represent the number as x.

We can write it as x - 8 (eight less than this number)

Then we can add 3x - 8 (We add the three times part)

Answer:

Emilio will have both activities again on the same day after 90 days from this Saturday.

Step-by-step explanation:

To solve this question list the multiples of 30 and 9 to find the first common multiple because the two activities will happen again in a number divisible by both 30 and 9.

∵ The multiples of 30 are: 30, 60, 90, 120, ............

∵ The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, .....

→ The common multiple is 90

∴ The common multiple of 30 and 9 is 90

→ That means the activities will meet again after 90 days from

   this Saturday

Emilio will have both activities again on the same day after 90 days from this Saturday.

Answer:

B

Step-by-step explanation:

Answer:

She will need 105$

Step-by-step explanation:

Add 50+25=75 Then add 75+30=105

Answer:

29.2

Step-by-step explanation:

This technique is called the Pythagoras Theorem.

a^2+b^2=c^2

15^2+25^2=c^2

225+625=c^2

850=c^2

Take the square root out of both sides.

c= 29.1547595

Round numbers

c= 29.2

Mark me brainliest if you can. Hope this helps.

if the angles are the same, and side lengths are equally decreased or increased (depending if you are scaling up or down)

Answer:

d

Step-by-step explanation:

Answer:11/4, 7/8, 78%

Step-by-step explanation:

Answer:

0.9 78% 7/8.I hoped I helped

Answer:

$23.04

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

$53.52

Answer:

a

Step-by-step explanation:

Answer:

9. 80, 547.65

10. 135,702.0

Answer:

2,000

Step-by-step explanation:

Count 1,000 twice. 2 x 1,000 = 2,000. Have a nice day!

Answer:

2000

Step-by-step explanation:

Ignore the 0s since anything times 0 is 0. Multiply 1 by 2. Put the zeroes in the answer and it's 2000

Answer:

c

Step-by-step explanation:

4/3

3/5

keep change fli[

20/9=2 2/9

Answer:

False, x=6

Step-by-step explanation:

5x=30

Divide 5 on both sides

5/5 leaves x

30/5=6

Bring down x

x=6

Answer:

[tex]x^{2}[/tex] + 3x - 8 = 0

Step-by-step explanation:

Answer:

A .Financial loss due to flood damage is likely.  Her insurance premiums will be higher than homes not on the waterfront.

Step-by-step explanation:

Got it right on the quiz hope this helps. :)

Statements which best describes, effect the location of Sally’s new home  is, (A) Financial loss due to flood damage is likely.  Her insurance premiums will be higher than homes not on the waterfront.

The natural disaster insurance is the type of insurance in which the insurance company pay the total amount of loan to the beneficiary in case of loss of his property or life in a natural disaster such as earth quack, flood etc.

The face value of natural disaster insurance is depends on following factor:

Sally just purchased a beautiful home on a riverbank for what she thought was a very good deal.  

She later learned that her house was very susceptible to flood damage during the rainy season.  

In this case, the face value or insurance premiums is high as her house was very susceptible to flood damage during the rainy season.  

Thus, the statements which best describes the effect the location of Sally’s new home will have on her homeowners' insurance premium is, (A) Financial loss due to flood damage is likely.  

Her insurance premiums will be higher than homes not on the waterfront.

Learn more about the insurance here:

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#SPJ2

Answer:

Depends

Step-by-step explanation:

50

Answer:

50 people

Step-by-step explanation:

Answer:

2in

Step-by-step explanation:

because 2x2x2=8

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

Answer:

A

Step-by-step explanation:

We want to write the equation of the line as shown in the graph.

First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.

We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:

[tex]m=\frac{-1-5}{2-0}[/tex]

Subtract and reduce. So, our slope is:

[tex]m=-6/2=-3[/tex]

Therefore, our slope is -3.

Now, we can use the point-slope form to find the equation. Point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is any point the line crosses.

First, since we already know that our slope is -3, let's substitute -3 for m:

[tex]y-y_1=-3(x-x_1)[/tex]

So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.

Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.

For A, we have:

[tex]y+7=-3(x-4)[/tex]

We can rewrite this as:

[tex]y-(-7)=-3(x-(4))[/tex]

Therefore, in A, our point is (4, -7).

Now, check. Does our line actually pass through (4, -7).

From the graph, we can see that it does. Therefore, A is our correct answer!

However, let's do B just to confirm. For B, we have:

[tex]y+1=-3(x+2)[/tex]

We can rewrite this as:

[tex]y-(-1)=-3(x-(-2))[/tex]

So, our point is (-2, -1).

Does our line pass through (-2, -1)?

Upon inspection, our line does not pass through (-2, -1). So, B is not correct.

So, our answer is A.

And we're done!

Answer:

i cant even see the words

Step-by-step explanation:

sorry i cant help

Answer:

35 minutes from 4:12 pm at 4:47 pm the tank will contain only 6617 liters of water.

Step-by-step explanation:

3:56-4:12 = -00:56 minutes passed

10452-8092=2360 liters of water lost

8092-6617=1475 liters

meaning: 56 mins lost 2360L

                x mins lost 1475L

(the 2360 liters lost)/(the 56 minutes during which they were lost) is equal to the rate at which (the 1475 liters would be lost)/(the unknown amount of time)

2360/56 = 1475/x                               (cross multiply)

2360x = 1475(56)                                            

2360x = 82600                                   (simplify)

x = 82600/2360                                  (divide to isolate x)

x = 35                                                    (the unknown amount of time during                             which the water is lost)

4:12 pm plus 35 minutes is 4:47 pm.

The flow rate is the product of the speed of flow and the area through which the fluid flows

The time at which the tank will contain 6,617 L is 4:22 PM

Reason:

Known parameters are;

Volume of water in the tank at 3:56 PM = 10,452 L

Volume of water in the tank at 4:12 PM = 8,092 L

The rate at which water is flowing out of the tank, R, is given as follows;

The flow rate, Q, of water out of the tank, Q = 147.5 L/min

The time it will take tank to contain 6,617 L, is given as follows;

Volume flow out = 10,452 L - 6,617 L = 3,835 L

The time it takes to flow to remain 6,617, t = [tex]\dfrac{3,835}{147.5} = 26[/tex]

It takes 26 minutes from the start before the water remaining is 6,617 L

Therefore, the time of the day, T = 3:56 PM + 26 minutes = 4:22 PM

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