a chord of a circle of radius 12 CM subtends an angle of 120 degree at the centre find the area of the corresponding segment of the circle (use π= 3.14 and √3 is equal to 1.73 )​

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

Answer:

Step-by-step explanation:

[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]

Apply cross product property

[tex]4x = 7.2 \times 3[/tex]

Multiply the numbers

[tex]4x = 21.6[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]

Calculate

[tex]x = 5.4[/tex]

Hope this helps..

best regards!!

The question is incomplete. the complete question is as follows:

The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?  

A.  It is linear because the length increases by the same factor every 10 minutes.

B.  It is linear because the length increases by the same number of micrometers every 10 minutes.

C.  It is exponential because the length increases by the same factor every 10 minutes.

D.  It is exponential because the length increases by the same number of micrometers every 10 minutes.

Answer:

C.  It is exponential because the length increases by the same factor every 10 minutes.

Step-by-step explanation:

According to the data shown, the relationship between time and length of this cell is exponential.

The relationship is exponential because the length increases by the same factor every 10 minutes.

The growth of the cell is exponential it means the optimal conditions are provided to the cell for their growth.

Hence, the correct answer is "C.  It is exponential because the length increases by the same factor every 10 minutes."

Answer:

The answer is a

Step-by-step explanation:

my brother is very smart

Answer:

2,280

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]

(2)

3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]

Answer:

Yes you can, it’s 1010

Step-by-step explanation:

the reason is to 101 the number for its to become the one for the unit which is 1010

Yes, you can use the unit tile to find the exact area of the other tiles.

The fundamental units are the units defined for the fundamental quantities. The derived units are the units of all other physical quantities that are derived from the fundamental units.

Given :

The unit tile has 1 unit length and 1 square unit of area.

Yes, you can use the unit tile to determine the length of the other rectangle and square.

You can place tiles along the length of the rectangle and count them so that the number of tiles equals the length of the rectangle, and then use the same method to find the side of the squares.

As shown in the given diagram below :

Therefore, you can use the unit tile to find the exact area of the other tiles.

To learn more about units and measurements refer to :

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Answer:

  A.  7

Step-by-step explanation:

The problem is poorly specified, so technically cannot be answered with a specific number.

If we assume the "horizontal" lines are all parallel, then the one marked 21-x has a length that is the average of the other two:

  (17 +11)/2 = 21 -x

  14 = 21 -x

  x = 21 -14 = 7

The value of x is 7.

_____

The attachment shows what happens when the lines are not parallel. The range of the midline lengths is from 3 to 14 for the segment lengths shown.

Answer:

0.0003W/cm°C

Step-by-step explanation:

The question is not properly written. Here is the correct question.

The batting wang xiu ying uses to fill quilts has a thermal conductivity rate of 0.03 watts (W) per meter(m) per degree celsius. what is the batting thermal conductivity when w/cm•c

Given the thermal conductivity in W/m°C to be 0.03W/m°C

We are to rewrite the value in W/cm°C

The difference is the unit. The only thing we need to do is to simply convert the unit (metres) in W/m°C to centimeters (cm)

Since 100cm = 1m, 0.03W/m°C can be expressed as shown below;

= 0.03W/m°C

= 0.03 × W/1m×°C

Note that 1m = 100cm, substituting this conversion into the expression, it will become;

= 0.03 × W/100cm × °C

= 0.03/100 × W/cm°C

= 0.0003W/cm°C

Hence the battling thermal conductivity in W/cm°C is 0.0003W/cm°C

Answer:

0.0003W/cm°C

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Example:

8 = 3 x - 5  is the equation in one variable

an associated linear inequality in one variable is for example:

8 < 3 x - 5

Answer:

{–3, 2, 5}

Step-by-step explanation:

The range refers to the values for the axis i.e to be dependent when there is a defined function

And the range is the combination of the integer i.e to be compounded by these three values  

Data provided in the question

-3 , x ≤ 0

2, 0 < x ≤ 4

5, 4 < x ≤ 10

Based on the above information, the range of g(x) is {-3,2,5}

Hence, the correct option is c.

Answer:

C

Step-by-step explanation:

Answer:

a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Step-by-step explanation:

From the above question, we know that

Rui feng is 3 years old

We are told that

• Michael is 5 years old than Rui feng

Micheal's present age is calculated as:

= 5 + Rui feng's age

= 5 + 3 = 8 years

• Vishal is thrice as old as Micheal

Vishal's present age is calculated as

= 3(Micheal age)

= 3(8)

= 24 years.

The sum of their ages in six years time

= ( 3 + 6) +( 8 + 6) + ( 24 + 6)

= 18 + 15 + 30

= 63 years

Therefore, a) Micheal's present age = 8 years old

b) The sum of their ages in 6 years time = 63 years.

Answer:

m∠DEA = 62° and m∠ADB = 318°

Step-by-step explanation:

[tex]AB\left | \right |DC[/tex], - (Given)

m∠CB = 62° (Given)

we have;

m∠CB ≅ m∠DA (parallel lines congruent arc theorem)

m∠DA = 62° = m∠DEA

m∠DAB = 104° Given

Therefore, m∠AB = 104° - 62° = 42° (sum of angle)

m∠DC = 360 - 62 - 62 - 42 = 194°  (sum of angles around a circle)

m∠ADB = 360° - m∠AB (sum of angles around a circle)

Therefore, m∠ADB = 360° - 42° = 318°

The required angles are;

m∠DEA = 62° and m∠ADB = 318°

Answer: 0.0046

Step-by-step explanation:

First, let's calculate the total number of outcomes that you can see from a pair of dice.

Each dice has 6 options, so the total number of combinations is:

6*6 = 36.

Now, the combinations that are equal to 3 are:

3 and 1

1 and 3

2 combinations.

So the probability is equal to the quotient between the number of combinations that are equal to 3, and the total number of combinations:

P = 2/36 = 0.055

Now, the combinations that are equal to 10 are:

5 and 5

4 and 6

6 and 4.

3 combinations.

Then the probability is:

P = 3/36 = 0.0833

Now, the probability of both events happening is equal to the product of the probabilities for each event, so the total probability is equal to:

P = ( 0.0833)*( 0.055) = 0.0046

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

[tex]\frac{1--4}{4} \\\\=\frac{5}{4}[/tex]

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer:

If f=5 pounds of pressure, l=5.4 feet long

Step-by-step explanation:

Force needed to break a board varies inversely with the length of the board

Let

Force to break the board=f

Length of the board=l

f=k/l

Where k is a constant

If f=9 pounds of pressure and l=3 feet long

f=k/l

9=k/3

Cross product

9*3=k

27=k

If k=27, f=5 pounds of pressure. Find l?

f=k/l

5=27/l

Cross product

5l=27

l=27/5

=5.4

l=5.4 feet long

Using proportions, it is found that the board that requires 5 pounds of pressure to break is 1.67 inches long.

The rule of three is:

9 pounds - 3 feet

5 pounds - x feet

Applying cross multiplication:

[tex]9x = 3(5)[/tex]

[tex]x = \frac{15}{9}[/tex]

[tex]x = 1.67[/tex]

The board that requires 5 pounds of pressure to break is 1.67 inches long.

To learn more about proportions, you can take a look at https://brainly.com/question/24372153

Answer:

Null hypothesis: Policy B remains more effective than policy A.

Alternate hypothesis: Policy A is more effective than policy B.

Step-by-step explanation:

Remember, a hypothesis is a  usually tentative (temporary until tested) assumption about two variables– independent and the dependent variable.

We have two types of hypothesis errors:

1. A type I error occurs when the null hypothesis (H0) is wrongly rejected.

That is, rejecting the assumption that policy B remains more effective than policy A when it is actually true.

2. A type II error occurs when the null hypothesis H0, is not rejected when it is actually false. That is, accepting the assumption that policy B remains more effective than policy A when it is actually false.

Answer:

x = -5

I hope this helps!

Answer:

x = - 5

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 5, 7 ) with x- coordinate - 5 , thus

x = - 5 ← equation of vertical line

Answer: C

Step-by-step explanation:

[tex]2x+4y<16\\=4y<-2x+16\\=y<-\frac{1}{2} x+4[/tex]

Since we are not dividing by a negative at any point during the simplification, the inequality sign won't change.

"<" means that the line will be dashed and shaded below.

Hope this helps!

The description of the inequality is (c) dashed line, shaded below

The inequality is given as:

2x + 4y < 16

The inequality is represented as less than (<)

When the less than sign is used in an inequality, the graph of the inequality would be a dashed line shaded below

Hence, the true statement is (c) dashed line, shaded below

Read more about inequalities at:

https://brainly.com/question/11234618

Answer:

Y= -4. X=5

Step-by-step explanation:

This is a simultaneous equation

3x+5y= -5 ------------(1)

4x+5y= -8 ------------(2)

Using elimination method

Eliminate x

×4. 3x+5y= -5

×3. 4x+7y= -8

12x+20y= -20

-(12x+21y= -24) Minus

-y=4 therefore y= -4

Substitute x into equation 1

3x+5(-4)= -5

3x-20= -5

3x= -5+20

3x= 15

x=5

Answer:

Step-by-step explanation:

Look at the picture.

x - horizontal

y - vertical

left, right - horizontal

n units to the right: x + n

n units to the left: x - n

up, down - vertical

n units up: y + n

n units down: y - n

J(-4; 1)

3 units to the right: -4 + 3 = -1

2 units down: 1 - 2 = -1

J'(-1; -1)

Answer:

[tex]\boxed{V_{cone} = 1017.36\ in.\³}[/tex]

[tex]\boxed{V_{cylinder} = 3052.08\ in.\³}[/tex]

[tex]\boxed{V_{sphere} = 3052.08\ in.^3}[/tex]

Step-by-step explanation:

Volume of Cone:

[tex]\sf V = \frac{1}{3} \pi r^2 h\\Where\ r = 9 , h = 12\\ V = \frac{1}{3} (3.14)(9)^2(12)\\V = \frac{1}{3} (3.14)(81)(12)\\V = \frac{1}{3} 3052.08\\[/tex]

V = 1017.36 in.³

Volume of Cylinder:

[tex]\sf V = \pi r^3h\\V = (3.14)(9)^2(12)\\V = (3.14)(81)(12)[/tex]

V = 3052.08 in.³

Volume of Sphere:

[tex]\sf V = \frac{4}{3} \pi r^3\\Where \ r = 9 \ in\\V = \frac{4}{3} (3.14)(9)^3\\V = \frac{4}{3} (3.14)(729)\\V = \frac{9156.24}{3}[/tex]

V = 3052.08 in.³

Answer:

[tex]\boxed{\sf V_{cone} = 1017.36\ in \³}\\\boxed{\sf V_{cylinder} = 3052.08\ in\³}\\\boxed{\sf V_{sphere} = 3052.08\ in^3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} \pi (9)^2 (12)\\324 \times 3.14 \\ 1017.36[/tex]

[tex]\pi (9)^2 (12)\\972 \times 3.14\\ 3052.08[/tex]

[tex]\frac{4}{3} \pi (9)^3\\972 \times 3.14\\3052.08[/tex]

Step-by-step explanation:

Given:

Successful outcome

Red=3

Blue=2

Possible outcome

Total=5 balls

Required:

The probability of drawing red ball

Formula:

Probability= Successful outcome ÷ Possible outcome

Solution:

Probability= Successful outcome ÷ Possible outcome

Probability=3÷5

Probability=3/5 or 0.6

Hope this helps ;) ❤❤❤

Answer:

1) The correct option is the third line

2) The correct option is the third line please see attached graph

Step-by-step explanation:

For the system of inequalities,

7·x > 21 or 6·x -9 < 21 we have;

7·x > 21

x > 21/3 = 3

x > 3

Also we have for 6·x -9 < 21 we have;

6·x -9 < 21

6·x < 21 + 9

6·x < 30

x < 30/6 = 5

x < 5

The representation of the region x > 3 and the region x < 5 on the number line consists of indicating points 3 and 5 with  circles not filled to represent less than < and not less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option as the third line which has an open circle at point 3 and 5

b) To graph the inequality v + 4 > 2 and 8·v - 20 ≤ 36

For the inequality v + 4 > 2, we have;

v > 2 - 4

v > - 2

For the inequality 8·v - 20 ≤ 36, we have;

8·v - 20 ≤ 36

8·v  ≤ 36 + 20              

8·v  ≤ 56

v ≤ 56/8

v ≤  7

The region representing v > -2 or v ≤ 7 on the number line consists of indicating points -2 with a circle (not filled) to represent less than < and point 7 with a filled circle to represent less than or equal to ≤ and shading the potion of the number line in between the two points

Which gives the correct option is the third line which has a closed circle at point -2 and an open circle at point 7

Answer:

Multiply both side by 6

Step-by-step explanation:

(m-2)/6 < - 1

Multiply both side by 6

(m-2)/6*6 < - 1*6

m-2 < -6

Add 2 m-2+2 < -6+2

m < -4

Answer:A

Step-by-step explanation:

Answer:

1,325

Step-by-step explanation:

30 /2

= 155,000 - 245(15)

= 5,000 - 3,675

= 1,325

Answer:

1,325

Step-by-step explanation:

Answer:

y=-1/2x+3

Step-by-step explanation:

To get the equation you do y=mx+b. Which is y=slope+y-intercept

Answer:

Step-by-step explanation:

All of these statements about a vertical parabola with known vertex are true.

The statement which is not always true about the graph of a quadratic function is option d) the parabola is symmetrical about the y-axis.

A parabola is a open U shaped curve on a plane where all the points on the curve will be at an equal distance from a fixed point called focus and a fixed line called directrix.

Vertex of a parabola is the point where the parabola intersects with it's line of symmetry. So the vertex will always lie at the maximum point or the minimum point.

Axis of symmetry is the line that passes through the vertex of a parabola.

Graph of the quadratic equation will always be a parabola.

When the coefficient of x² is positive, then the vertex of the parabola will be at a minimum point and if the coefficient is negative, then the vertex will be at a maximum point.

The parabola is symmetrical to y axis only if the vertex of the parabola lies on the Y axis. So it will not be always true.

Hence the statement the parabola is symmetrical about the y-axis is not always true.

Learn more about Parabola here :

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I have included a picture of the graph (click/tap on it to see the full picture.) I hope this helps! If there's anything else I can do please comment on this answer! If this did help please rate, thanks, and mark brainliest :)

Answer:

Time taken (t) = 2.67 s (Approx)

Step-by-step explanation:

Find:

Time taken (t)

Given:

Initial velocity (u) = 0 m/s

Acceleration due to gravity(a) = -9.8 m/s²

Distance (d) = -35 m

Computation:

Using 2nd equation of motion,

d = ut + (1/2)at²

-35 = (0)t + (1/2)(-9.8)t²

-35 = -4.9 (t²)

t² = 7.1428

t = 2.6726

Time taken (t) = 2.67 s (Approx)