If any pair of three lines are parallel, then are all three lines are coplanar?
Parallel Lines - Lines that never intersect
Coplanar - Points that lie in a plane

Answer: 85.06 feet/second

Step-by-step explanation: 58

×

5280

=

306240

(1 mile =5280 feet.)

1 hour= 60 x 60 seconds = 3600 seconds.

Explanation:

To make it feet per second divide:

306240/3600

85.06

feet/second

Answer:

Family a got 120kg, b got 240 kg and c got 120 kg

Step-by-step explanation:

Given that 480kg of rice is shared by families a, b, c. let these alphabets represent the amount received by each family.

a + b + c = 480

Given that B receives twice as much as a, c receives half of b then,

b = 2a and

c = 1/2 b = b/2

from b = 2a,

a = b/2

substituting into the first equation

b/2 + b + b/2 = 480

b + b = 480

2b = 480

b = 480/2

= 240 kg

a = c = b/2

hence a = c = 240/2 = 120kg

Answer:

50%

Step-by-step explanation:

90-60 = 30

30÷60 = .5

Step-by-step explanation:

=(1.8×1000)g

=1800g

hope it helps.

Answer:

she's only correct......

Answer:

p = \(\frac{1}{4}\)

Step-by-step explanation:

To make a perfect square

add ( half the coefficient of the x- term )² to x² - x, that is

x² + 2(- \(\frac{1}{2}\) )x + \(\frac{1}{4}\) with p = \(\frac{1}{4}\) , thus

x² - x = (x - \(\frac{1}{2}\) )² + \(\frac{1}4}\)

Answer:

x^2 - x + 1/4

Step-by-step explanation:

To complete the square

x^2 - x + P

Take the coefficient of x

-1

Divide by 2

-1/2

Then square it

(-1/2)^2

1/4

Add this to complete the square

x^2 - x + 1/4

Answer:

jjjjzkzkskdndjdididndjid

Answer:

6x+ 21

Step-by-step explanation:

Find the area of the whole thing

find the are of the small shape

minus this from the whole thing

whole thing = (x+5)(x+5)   = x^2+ 2x+ 25

small = (x-2)(x-2) = x^2 -4x +4

(x^2+ 2x+ 25)-(x^2 -4x +4)= 6x+ 21

False. The expression \((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

The expression\((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

To simplify \((3ab - 6a)^2\), we need to apply the exponent of 2 to the entire expression. This means we have to multiply the expression by itself.

\((3ab - 6a)^2 = (3ab - 6a)(3ab - 6a)\)

Using the distributive property, we can expand this expression:

\((3ab - 6a)(3ab - 6a) = 9a^2b^2 - 18ab^2a + 18a^2b - 36a^2\)

Simplifying further, we can combine like terms:

\(9a^2b^2 - 18ab^2a + 18a^2b - 36a^2 = 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\)

The correct simplified form of \((3ab - 6a)^2 is 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\).

The statement that\((3ab - 6a)^2\) is the same as 2(3ab - 6a) is false.

For more questions on expression

https://brainly.com/question/1859113
#SPJ8

The required dimensions of a rectangular rancher with perimeter for fencing, 3000 feet are equal the 500 feet and 375 feet at maximum area of 3,75,000 ft².

We have a rancher which to construct adjacent, equally sized rectangular pens with the fencing of 3000 feet. Suppose that the rancher need to be fenced in the way shown in the attached figure. Then, the perimeter is 4x + 3y = 3000

=> x \( =\frac{3000 - 3y}{4} \).

The area of rectangle is represented by A=L × W --(1) , where L and W are dimensions of rectangles. The total area will be A = 2× x × y --(2)

=> A = 2× (\(\frac{3000 - 3y}{4}\))× y

= ( \( 1500 - \frac{3y}{2} \))y

= \( 1500y - \frac{3y²}{2} \)

Now, differentiate above area function, with respect to y, and equate to 0, for determining the critical points on the graph, \(\frac{dA}{dy} \) = A'(y) =\( 1500 - \frac{6y}{2} \) = 0

=> y = \(\frac{1500}{3} = 500 \)

Also, x \( =\frac{3000 - 3× 500}{4} \).

\( =\frac{1500}{4} = 375 \).

Maximum area = 375 × 500 × 2 = 375000 ft². Hence, the dimensions that will give the maximum area are 500 feet and 375 feet.

For more information about dimensions, visit :

https://brainly.com/question/19819849

#SPJ4

Complete question : attached figure complete the question.

The solution to the expression 3x - 7x - 6 is -4x - 6

From the question, we have the following parameters that can be used in our computation:

3x - 7x - 6

When the like terms are evaluated, we have

3x - 7x - 6 = -4x - 6

The above expression cannot be further simplified

Hence, the solution is -4x - 6

Read more about expression at

https://brainly.com/question/31819389

#SPJ1

I think its B (let me know If I'm wrong)

It has been learned that subjectivity and objectivity in history are related to each other. The reason behind is that the objectivities are the historians and scientific researchers who are responsible for exploring ancient structures that reveal past historical stories that happened from the past.

Please consider marking brainliest! :)

Answer:

I believe it is A) because they are written by people who have certain biases, and these creep into their writing

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

perimeter=150

lets name the length x

length=x

width=x-2

2[x±x-2]=150

2x±2x-4=150

4x=154

154÷4=77

x=77

The length of  the pool is 50 meters and this can be determined by using the formula of the perimeter.

Given :

The following steps can be used in order to determine the length of the pool:

Step 1 - The formula of the perimeter of the rectangle is given by:

P = 2(l + w)  

where l is the length of the rectangle and w is the width of the rectangle.

Step 2 - According to the given data, the length of  the pool is twice the width  of the pool that is:

l = 2w    --- (1)

Step 3 - Now, substitute the known terms in the formula of the perimeter.

150 = 2(3w)

150 = 6w

w = 25 meters

Step 4 - Now, substitute the value of w in the equation (1).

l = 2(25)

l = 50 meters.

For more information, refer to the link given below:

https://brainly.com/question/897975

Answer:

22

Step-by-step explanation:

\(f(5)= \\\\5(5)-3=\\\\25-3=\\\\22\)

Hope this helps!

Answer:

6 because 6 times 4 =24

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Hope it helps!

Solve by substitution, use the first equation and solve in terms of c

Substitute this to the second equation and solve for a

Substitute the value of a back to the first equation

With a = 25, and c = 40, we can conclude that there are 25 adult tickets, and 40 child tickets sold on Saturday.

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

To learn more about factor click here

brainly.com/question/26923098

#SPJ11

Answer:

∠ C = 100°

Step-by-step explanation:

since 2 sides of the triangle are congruent then the triangle is isosceles with base angles congruent.

consider the angle inside the triangle to the left of 140°

this angle and 140° are a linear pair and sum to 180°

angle + 140° = 180° ( subtract 140° from both sides )

angle = 40°

then the angle on the left of the triangle = 40° ( base angles congruent )

the sum of the angles in a triangle = 180° , so

∠ C + 40° + 40° = 180°

∠ C + 80° = 180° ( subtract 80° from both sides )

∠ C = 100°

Answer:

Step-by-step explanation: T20 = (-1)^20 3520(c)^15(d)^20

= 35c20c^15 d^20

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

To learn more about diametrically please click on below link.

https://brainly.com/question/17026408

#SPJ4

Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

Step-by-step explanation:

Use common factor to factor ''y'':

Now, factor by grouping the perfect binomial:

Answer:

Seven crore eighty thousands sixty-seven.

Step-by-step explanation:

70080067

Seven crore eighty thousands sixty-seven.

Answer:

40° or 2π/9 rad

Step-by-step explanation:

Let f(x) = 0 and solve

2cos (3x) + 1 = 0

2cos (3x) = -1

cos (3x) = -1/2

3x = arccos (-1/2) = 120

x = 40° or 2π/9 rad

Answer:

8 plates: $26

25 plates: 51.50

Step-by-step explanation:

8 plates:

2(8)+10=$26

25 plates:

25(1.50)+14=$51.50

Answer:A

Step-by-step explanation:

To find the value of the function f(x) = \(2x^3 - 5x + 7\) at x = -4, we substitute -4 into the function and simplify. The value of the function at

x = -4 is -101.

To calculate the value of the function \(f(x) = 2x^3 - 5x + 7\)at x = -4, we substitute -4 for x in the equation:

\(f(-4) = 2(-4)^3 - 5(-4) + 7\)

Simplifying the expression, we have:

f(-4) = 2(-64) + 20 + 7

f(-4) = -128 + 20 + 7

f(-4) = -101

Therefore, when x = -4, the value of the function \(f(x) = 2x^3 - 5x + 7\)is -101. This means that if we substitute -4 into the function, we get a result of -101.

To learn more about function visit:

brainly.com/question/13105504

#SPJ11

Responder:

Escala uno

0,2 m

Los 0.067m

Explicación paso a paso:

Dado que :

Escala uno = 1: 1000

Escala dos = 1: 3000

La escala 1 tendrá una vista más detallada porque el dibujo en la escala 1 será tres rublos más grande que el dibujo producido con la escala 2. Por lo tanto, la escala más grande debería tener una vista más detallada.

Un lago de 200 m de largo en realidad:

Tamaño del lago según escala 1

1 = 1000

x = 200

Cruz multiplicar

1000x = 200

x = 200/1000

x = 0,2 m

Según escala 2:

1 = 3000

x = 200

3000x = 200

x = 200/3000

x = 0,067 m

It will take the town 21 years 4 months to reach 4600 in population

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

initial population = 3000

population increase every year = 2.5% of 3000

which is 2.5/100 x 3000 = 75

let the time taken to reach 4600 be d

increment for d number of years = 75d

Total population after d years is 75d + 3000

so 75d + 3000 = 4600

75d = 4600  - 3000

75d = 1600

d = 1600/75

d = 21.33 years which is 21 years 4 months

In conclusion 21 years 4 months is the time taken for the ton tto get tto 4600

Learn more about rate: https://brainly.com/question/24304697

#SPJ1

Answer:

3 Cups of flour

Step-by-step explanation:

1 batch of cookies = 1 cup of flour

2 batch of cookies = 2 cups of flour

3 batch of cookies = 3 cup of flour

I hope i helped you :)

B. Your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

A. The process you described is commonly known as problem-solving or decision-making. Here's a breakdown of the steps involved: Identify the problem, Generate alternative solutions, Evaluate alternatives, Select the best solution, Implement the solution.

Identify the problem: The first step is to clearly identify and define the problem at hand. This involves understanding the nature of the problem, its causes, and its consequences or effects. Without a clear understanding of the problem, it would be difficult to find an appropriate solution.

Generate alternative solutions: Once the problem is identified, the next step is to brainstorm and generate multiple possible solutions or approaches to address the problem. This step encourages creativity and exploration of different options.

Evaluate alternatives: After generating alternative solutions, each option should be evaluated carefully. Factors such as feasibility, cost, time, resources required, and potential risks or benefits should be considered. This evaluation helps in narrowing down the options to those that are most viable.

Select the best solution: Based on the evaluation, one or more solutions may stand out as being the most effective or suitable for solving the problem. The best solution is selected based on its ability to address the problem efficiently and meet the desired objectives.

Implement the solution: Once the best solution is chosen, it is put into action. Implementation may involve planning, executing tasks, allocating resources, and managing the necessary steps to bring the solution to fruition.

It's important to note that the order of the steps may vary depending on the context and the complexity of the problem. While it's generally logical to evaluate and select the best solution before implementing it, sometimes it may be necessary to iterate through the steps, re-evaluate options, or make adjustments during the implementation phase.

Regarding the other options you mentioned:

A. This option suggests starting with identifying the best solution without understanding the nature of the problem or considering other possible solutions. As you correctly pointed out, this approach is flawed because it skips important steps in the problem-solving process.

C. This option implies evaluating and selecting the best solution before understanding the problem or considering other alternatives. Again, this is incorrect because a thorough understanding of the problem and exploration of multiple solutions should precede the evaluation and selection stage.

D. This option suggests implementing the solution before evaluating and selecting the best one. However, it's generally more effective to assess the potential effectiveness of different solutions before committing to their implementation.

In summary, your initial explanation is mostly accurate, but these additional details provide a clearer understanding of the problem-solving process.

Learn more about  solution from

https://brainly.com/question/27894163

#SPJ11

Answer:

1/15

Step-by-step explanation:

10 blocks altogether

P(Y,G) = 3/10 x 2/9

Answer:1/15

Step-by-step explanation: