why are compass and straightedge important

Answer:

3.75

Step-by-step explanation:

Answer:

A. 55

Step-by-step explanation:

hope this helps have a good day :)

Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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x and y have the values 7 and 7√2, respectively.

The sides of a right triangle with 45-degree acute angles have a unique ratio of 1:1:2.

We can use this information to determine the values of x and y because the base is specified as being 7.

Let's give the perpendicular side the value of x, and the hypotenuse the value of y.

The perpendicular side (x) and the base (7) have the same length because the acute angles are both 45 degrees.

Consequently, x = 7.

We can determine that x:y:2x using the ratio of 1:1:2.

When we enter the value of x, we may calculate y:

7:y:√2(7)

Simplifying even more

7:y:7√2

Given that the hypotenuse (y) equals 72, we can write:

y = 7√2

Thus, x and y have the values 7 and 7√2, respectively.

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Answer:

\(\frac{30meters}{second}\)

600meters

Step-by-step explanation:

Use conversion factors that represent 1.  You can cross cancel wods just like numbers.

\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)

\(\frac{108000meters}{3600seconds}\)

\(\frac{30meters}{second}\)

\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)

600 meters

Helping in the name of Jesus.

True because all properties are preserved under dilation from triangle ABC to A'B'C'.

We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'

We have to determine after dilation,  the properties of triangle ABC and A'B'C' is true or false.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.

here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.

So, the dilation of the triangle is not congruent but similar to the original triangle ABC

Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.

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Answer:

Step-by-step explanation:

The answer is FALSE for the first one AB and A'B' are on the same line.

and TRUE for the second one The measures of B and B' are equal.

Answer:

1/2

Step-by-step explanation:

Area= 3/8

Width=3/4

Length=?

3/8=0.375

3/4x1/2=3/8 (0.375)

The number who needs to be separated into a ratio = 72

Total number of parts = 3 + 4 + 5

= 12 parts

Each part = 72 ÷ 12

= 6

Then 3 parts = 3 × 6 = 18

4 parts = 4 × 6 = 24

5 parts = 5 × 6 = 30

Then , the ratio will be , 18 : 24 : 30

Therefore , 72 in the ratio 3:4:5 will be = 18 : 24 : 30 .

Answer:

a^2 + 2ab + b^2

Answered by Gauthmath

The number of square feet of carpet needed for the rooms is 889 ft².

The total square footage of your house is 1200 square feet.

He wants to put new carpet in all rooms except for  the kitchen, dining room and bathroom.

Therefore,

total area = 1200 ft²

Area of the other rooms with no carpet  = (10 × 12) + (11 × 13) + (6 × 8)

Area of the other rooms with no carpet  = 120 + 143 + 48

Area of the other rooms with no carpet  = 311 ft²

Hence, the number of square feet for the house = 1200 - 311 = 889 ft²

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Answer:

3 tablets

Step-by-step explanation:

Since the drug is to be administered in 20.75 mg tablets, we divide 62.25 by 20.75 to get the number of tablets required.

62.25 ➗ 20.75 = 3

3 tablets are to be administered

Answer:

A child experiencing emotional.........

The figure can be drawn as,

The value of height of the kite from the ground can be determined as,

Thus, the height of the kite from the ground is 23.36 ft.

Answer:

5/2 or 2.5

Step-by-step explanation:

Divide both sides by 2.

Answer:

Wait u want me to answer your question or the Jono question? Or both?

Step-by-step explanation:

1. $6/5

- [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)] is the expression for the potential difference between the two points.

The potential difference between two points in an electric field can be calculated using the equation ΔV = - ∫Edl, where Edl is the dot product of the electric field vector and the displacement vector between the two points. In this case, we have the components of the electric field, Ex and Ey. To calculate the potential difference, we need to find the displacement vector between the two points.

The given points are ~3rY and 3x'X, so the displacement vector can be expressed as dl = (3x'X - 3rY)i + (3rY - 3x'X)j. Substituting this into the equation for ΔV, we get:

ΔV = - ∫ (Exi + Eyj) . (dl)

= - ∫ [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]

= - [6xy × (3x'X - 3rY) - 5 × (3rY - 3x'X)]

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The question is -

The numeric components of the electric field in a region of space can be calculated using the equations Ex=6xy and Ey= -5. Which of the following expressions fields the potential difference between the points ~3rY 3x'X 3X'X - 5

Declare a vector of doubles named swimming logs with size of num students. Initialize first element to first student and last element to last student. Fill the middle elements with zeros.

Firstly, declare a vector of doubles named swimming logs with a size of num students. This is done by writing "vector swimming logs(num students);". This creates a vector with the size specified by num students, which can be read from input.

Next, initialize the first element of the vector to first student. This is done by writing "swimming logs[0] = first student;". This sets the first element of the vector to the value of first student, which can be read from input.

Then, initialize the last element of the vector to last student. This is done by writing "swimming logs[num students - 1] = last student;". This sets the last element of the vector to the value of last student, which can be read from input.

Finally, fill the middle elements of the vector with zeros. This is done by writing "for (int i = 1; i < num students - 1; i++) { swimming logs[i] = 0; }". This loop iterates from the second element to the second last element of the vector, setting each element to 0. This completes the initialization of swimming logs with the specified values.

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An angle is produced at the point where two or more lines meet. Thus the value of LP required in the question is approximately 14.

Two lines are said to be perpendicular when a measure of the angle between them is a right angle. While parallel lines are lines that do not meet even when extended to infinity.

From the question, let the length of LP be represented by x.

Thus, from the given question, it can be deduced that;

LM ≅ PN = 20

KP = KN - PN

    = 30 - 20

KP = 10

LP = x

Also,

<MLP is a right angle, so that;

< KLP = < KLM - <PLM

         = 126 - 90

<KLP = \(36^{o}\)

So that applying the Pythagoras theorem to triangle KLP, we have;

Tan θ = \(\frac{opposite}{adjacent}\)

Tan 36 = \(\frac{10}{x}\)

x = \(\frac{10}{Tan 36}\)

  = \(\frac{10}{0.7265}\)

x = 13.765

Therefore the side LP ≅ 14.

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Answer:

A (6,2)

B (7, 0)

C (4, -1)

Step-by-step explanation:

Add 3 to x and add 2 to y.

Answer:

move 3 to the right and 2 up

Step-by-step explanation:

A' ( b, 2 )

B' ( 7 , 0 )

C' ( 4, -1 )

9514 1404 393

Answer:

  200 m

Step-by-step explanation:

Let d represent the length of the track in meters. The relation of interest is ...

  time = distance/speed

Then the total time to run and walk back is ...

  60 = d/10 + d/5

  600 = d + 2d

  200 = d . . . . . . . divide by 3

The length of the track is 200 meters.

_____

200 m in 20 seconds is a world-record time for a woman; a very good time for a man.

Answer: The answer is 1  7/12

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Answer:

2.4

Step-by-step explanation:

By using the substitution method, we will see that the value of y is 23.

Here we have a system of linear equations, the system is:

y - x = 11

x = 12

The second equation is trivial, it just gives the value of x. Then we can use the substitution method and replace it in the first equation, then we will get:

y - 12 = 11

Now we can solve this for y, we will get:

y = 11 + 12

y = 23

That is the value of y.

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Answer:

x =  −5 /2

Step-by-step explanation:

Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.

Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.

The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.

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Answer:

A. To convert pounds to kilograms, we need to multiply by 0.453592. Therefore, the fish from region A weighs about 130 kg (286 x 0.453592), rounded to the nearest whole number.

B. Similarly, the fish from region B weighs about 279 kg (614 x 0.453592), rounded to the nearest whole number.

Answer:

y intercept = 14

x intercept = 4.6666....

Step-by-step explanation:

3x-2y=-14

-3x

-2y = -14 + (-3x)

*-1

2y = 14 + 3x

/2

y = 1.5x + 14

14 = y intercept

3x-2y=-14

+2y

3x = 14 + 2y

/3

x = (2/3)y + (14/3)

4.6666.... = y intercept

To convert decimeters to millimeters use the arithmetic operation of multiplication.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

To convert decimeters to millimeters, you would use multiplication by 10.

There are 10 millimeters in 1 centimeter, and 10 centimeters in 1 decimeter.

So to convert from decimeters to millimeters, one would multiply by 10 twice, or by 100.

Therefore, multiplication operation is used.

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