Given the line segment AB=36 cm and a point C on directed line segment AB that partitions AB into the ratio 1 to 2, find the lengths of the line segments AC and CB

Answers

Answer 1
the lengths of AC is 24 and CB is 12

Explanation: so we know that the ratio is 2:1, which can be expressed as 2x and x.

we know that 2x+x must equal 36, so we can set up the equation 2x+x=36

we then add 2x to x to make 3x=36, divide both sides by 3, and get x=12.

now that we know what x equals, 2(12) is 24 and (12) is 12 :)

Related Questions

Hai vòi nước cùng chảy vào một bể. Vòi thứ nhất chảy trong 8 giờ thì đầy bể, vòi thứ hai chảy trong vòng 10 giờ thì đầy bể. Hỏi:
a, cả hai vòi cùng chảy thì sau bao lâu sẽ đầy bể
b, Nếu có một một vòi thứ ba Thảo nước ra trong 16 giờ thì sẽ cạn hết bể đầy nước thì khi mở cả 3 vòi cùng một lúc sau bao nhiêu lâu sẽ đầy bể(lúc đầu bể đầy nước)

Answers

Answer:

Please say in English

Step-by-step explanation:

I don't understand, Sorry

What is the formula of a palindrome?​

Answers

Answer:

For example, 6(1001) + 3(110) = 6006 + 330 = 6336 is a palindrome. Since 11 is a factor of both 1001 and 110, we conclude that all four digit palindromes are divisible by 11.

ok and again i just dont understand well so this is why i am asking so many times and u guys and girls are getting alot of points

Answers

Answer:

The answer is A

Step-by-step explanation:

The right answer is A

You deposit $3000 in a bank account that pays 4% annual interest. Find the balance after 7 years if the interest is compounded quarterly.​

Answers

Answer:

$3840.

Step-by-step explanation:

First, write down the formula: I= PRT (Interest= Principle, rate, time). Then you multiply all of the numbers (3000x0.04x7). You get 840, but then you need to add it to the $3000 which already exist, therefor you get your answer of $3840.

according to a salad recipe each serving requires 4 teaspoons of vegetable oil and 12 teaspoons of vinegar. if 14 teaspoons of vegetable oil were used how many teaspoons of vinegar should be used

Answers

Answer:

42 teaspoons of vinegar

Step-by-step explanation:

Given

[tex]x \to vegertable[/tex]

[tex]y \to vinegar[/tex]

[tex]x : y = 4 :12[/tex]

Required

Find y when [tex]x = 14[/tex]

[tex]x : y = 4 :12[/tex] implies that:

[tex]14 : y = 4 : 12[/tex]

Express as fraction

[tex]\frac{y}{14} = \frac{12}{4}[/tex]

[tex]\frac{y}{14} = 3[/tex]

Multiply by 3

[tex]y = 14* 3[/tex]

[tex]y = 42[/tex]

Question 1 of 25 f(x) = 2x2 + 6x - 4 g(x) = 5x3 - 6x? - 3 Find (f + g)(x).​

Answers

Answer:

option B

Step-by-step explanation:

[tex]f(x) = 2x^2 + 6x -4\\\\g(x) = 5x^3 - 6x^2 - 3\\\\(f + g)(x) = f(x) + g(x) \\\\[/tex]

               [tex]= (2x^2 + 6x - 4) + ( 5x^3 -6x^2 - 3) \\\\= 2x^2 + 6x - 4 + 5x^3 - 6x^2 - 3\\\\= 5x^3 + 2x^2 - 6x^2 + 6x - 4 - 3 \\\\= 5x^3 - 4x^2 + 6x - 7[/tex]

Answer:

the answer is b

Step-by-step explanation:

hope this helps :)

Tiffany is borrowing 1,200 from her parents to buy a new laptop computer. She plans to pay them back at the rate of $70 a month. Rosie is borrowing $900 from her parents to buy a violin. She plans to pay her parents back at the rate of $40 per month

Answers

This isn't really a question so I'll just go through all of it.

1200 dollars will take about 17 months to pay off with installments of 70 dollars.

900 dollars will take 22.5 months to pay off with 40 dollar installments.

Tiffany will pay off her debt first.

Help me pleaseeeeeeeee

Answers

The answer is (((((A ))))))

In one hour Dele walks 8km. How
long will it take her to walk 14km at
the same rate?

Answers

Answer:

1.45 h

Step-by-step explanation:

common factor of 8 and 14 is 2.

every 2km dele takes 15 minutes.

we know this because 15 minutes is 1/4 of an hour and 2km is 1/4 of 8km

14km/2km = 7

7*15 minutes = 1.45 hours

Answer:

1.75 hours/ 1hr 45 min

Step-by-step explanation:

1hr = 8 Km

?? = 14 Km

= (14km × 1hr)/ ( 8km)

= 1.75hours

= 1hr 45min

Here are the first three terms of a different sequence.
1
3
9
Write down two numbers that could be the 4th term and the 5th term of this sequence.
Give the rule you have used to get your numbers.


please helpp

Answers

Step-by-step explanation:

everything can be found in the picture

A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radians. (That is, the rocket's path and the ground form an angle with a measure of 1.2 radians.)]

Required:
a. What is the slope of the rocket's path?
b. If the rocket has traveled 85 yards horizontally since it was launched, how high is the rocket above the ground? _____yards.
c. At some point in time, the rocket is 313 yards above the ground. How far has the rocket horizontally (since it was launched) at this point in time? _____yards

Answers

Answer:

a)[tex]S=2.57[/tex]

b)[tex]H=203.2yard[/tex]

c)[tex]X=121.79yards[/tex]

Step-by-step explanation:

From the question we are told that:

Angle [tex]\theta=1.2=68.755^o[/tex]

a)

Generally the equation for Slope is mathematically given by

 [tex]S=tan \theta[/tex]

 [tex]S=tan 68.755[/tex]

 [tex]S=2.57[/tex]

b)

Given the right Angle triangle with horizontal distance [tex]x=85yard[/tex]

Generally the equation for Height traveled is mathematically given by

 [tex]H=tan\theta*x[/tex]

 [tex]H=2.57*85[/tex]

 [tex]H=218.45[/tex]

 [tex]H=203.2yard[/tex]

c)

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

[tex]X=\frac{313}{tan65.75}[/tex]

[tex]X=\frac{313}{2.57}[/tex]

[tex]X=121.79yards[/tex]

Using the projectile principle, the slope of the rockets path, height above the ground and the distance traveled at a height of 313 yards would be 2.57, 218.63, 121.69 respectively.

Given the Parameters :

Angle of inclination = 1.2 radian

Converting to degree :

θ = 1.2 rads × 180/π = 68.755°

A.)

The slope of the rocket's path :

Slope = tanθ

Slope = tan(68.755) = 2.57

B.)

Horizontal distance, = distance along the x-axis = 85 yards

Vertical distance = height = distance along y-axis, y

y = tanθ × x

y = slope × x

y = tan(68.755) × 85

y = 218.63 yards

C.)

Vertical distance, y = 313 yards

From :

[tex] y = x tan\theta [/tex]

[tex] x = \frac{y}{tan\theta} [/tex]

[tex] x = \frac{313}{tan(68.755°)} [/tex]

x = 121.69 yards

Learn more :https://brainly.com/question/22983912

A positive real number is 4 less than another. if the sum of the squares of the two numbers is 72, then find the numbers

Answers

Answer:

x+4=72

x=72-4

x=68

Step-by-step explanation:

let x be one number and 4 be anothe number then sum of the two number be x and 4

What is the scale factor of this dilation?

Answers

Answer:

1.333333333333

Step-by-step explanation:

Solve for x. Round to the nearest hundredth.

A. 0.02
B. 25.17
C. 0.03
B. 12.27

Answers

Answer:  Choice D)  12.27

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(64) = x/28

x/28 = cos(64)

x = 28*cos(64)

x = 12.2743921100941

x = 12.27

Distribution of Sample Proportions
Susan really loves the lemon-flavored Fruity Tooty candies, but there always seems to be a lot of grape-flavored candies in each bag. To determine whether this is because grape candies are so popular or because each bag contains fewer lemon candies, Susan randomly picks a Fruity Tooty candy from her bag, records its flavor, and places it back in the bag. Each bag contains a mixture of cherry, grape, apple, lemon, and orange flavors. Which statement about Susan's distribution of sample proportions is true?
a) The distribution of the count of picking a cherry candy cannot be modeled as approximately normal if Susan picks candies over 200 times.
b) The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times.
c) The sample proportion of drawing an orange candy is not a binomial distribution.
d) The distribution of lemon candy can be modeled as normal if Susan picks candies 10 times.

Answers

Answer:

Option B, The distribution of apple candy can be modeled as normal if Susan picks candies over 75 times

Step-by-step explanation:

The distribution of apple candies can be represented as normal curve and hence the sample proportion for this is true and can be drawn.

The rest other cases do not represent a normal distribution and hence it will not be easy to plot curve for these samples.

hence, option B is correct

An aerodynamic 1,000 kg car takes about 270 newtons of force to maintain a speed of 25 m/s. how much horsepower is required from the engine to maintain this speed?

Answers

Answer:

9.05 horse power

Step-by-step explanation:

Given:

Force = 270 Newton

Speed = 25 m/s

Power = Force * velocity

Power = 270 Newton * 25 m/s

Power = 6750 watt

Recall:

1 horse power = 746 watts

Hence, required horsepower is :

6750 watt / 746 watt

9.048 hp

9.05 horse power

p = 4x + qx - 5 SOLVE FOR X

Answers

[tex]\sf \bf {\boxed {\mathbb {\: x = \frac{(p + 5)}{(4 + q)} }}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]p = 4x + qx - 5 \\ [/tex]

[tex]➺ \: p = x \: (4 + q) - 5 \\ [/tex]

[tex]➺ \: x \: (4 + q) = p + 5 \\[/tex]

[tex]➺ \: x = \frac{(p + 5)}{(4 + q)} \\ \\ [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Juan y rosa van a repartirse un pastel por partes iguales sin que sobre nada .Si de la fiesta sobró 3/4pastel .¿cuanto le tocó a cada uno?

Answers

Usando el método de polya:

a. Que se pregunta?

la fracción de cuánto obtendría cada uno de ellos y compartiría por igual.

b. ¿Cuáles son los datos dados?

¾ tarta, 2 personas (Juan y Rosa)

c. ¿Cuál es la operación que se utilizará?

división

d. oración numérica:

¾ ÷ 2

e. Solución y respuesta completa:

[tex] \frac{3}{4} \div 2 \\ = \frac{3}{4} \times \frac{1}{2} \\ = \frac{3}{8} [/tex]

explicación paso a paso:

Multiplica por el recíproco: Dividir es equivalente a multiplicar por el recíproco.Multiplicar: multiplica las fracciones

Forma decimal: 0.375

☆彡Hanna

#CarryOnLearning

What is it quadratic, radical, rational?

Answers

Answer:

quadratic formula is ur answer for letter B

Help please!!!!! I don't really get this, help asap.

Answers

1 box = 6 granola bars
42/6 = 7 boxes

Answer:

7 boxes

Step-by-step explanation:

We can use ratios to solve

12 bars            42 bars

----------    = ---------------

2 boxes      x boxes

Using cross products

12x = 2 *42

12x = 84

Divide by 12

12x/12 = 84/12

x = 7

A triangle has side lengths of 24 centimeters and 35. The third side has a length of x centimeters. Complete the inequality to show all the possible values of x.

*2 answers*

Answers

Answer: [tex]11<x<59[/tex]

Step-by-step explanation:

Given

The side of the triangle are [tex]24\ \text{and }35[/tex]

Suppose the third side is [tex]x[/tex]

Also, the sum of the two sides of the triangle is always greater than the third

[tex]\therefore x<24+35\\\Rightarrow x<59\quad \ldots(i)[/tex]

Similarly,

[tex]\Rightarrow x+35>24\\\Rightarrow x>-11[/tex]

Also,

[tex]\Rightarrow x+24>35\\\Rightarrow x>11\quad \ldots(ii)[/tex]

From (i) and (ii) we get

[tex]\Rightarrow 11<x<59[/tex]

Does anyone know how to solve this?

Answers

9514 1404 393

Answer:

zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)

Step-by-step explanation:

Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.

We note that the sum of all coefficients is negative, so +1 is not a root.

We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).

The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...

  Q(x) = x^2 -5x -14

Factoring this using any method you like gives ...

  Q(x) = (x +2)(x -7)

This means the full set of zeros is {-2, -1, +7} and the factorization is ...

  P(x) = (x +2)(x +1)(x -7)

_____

Additional comment

My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.

Ivan is saving money to buy a game. So far he has saved 8, which is one-fourth of the total cost of the game. How much does the game cost?

Answers

Answer:

[tex]\$32[/tex]

Step-by-step explanation:

Let the cost of the game be [tex]x[/tex]. Since one-fourth of the cost of the game is equal to 8 dollars, we have the following equation:

[tex]\frac{1}{4}x=8[/tex]

Multiply both sides by 4 to isolate and solve for [tex]x[/tex]:

[tex]x=8\cdot 4=\boxed{\$32}[/tex]

what is a case control study

Answers

Answer:

A study that compares two groups of people: those with the disease or condition under study (cases) and a very similar group of people who do not have the disease or condition (controls). Researchers study the medical and lifestyle histories of the people in each group to learn what factors may be associated with the disease or condition. For example, one group may have been exposed to a particular substance that the other was not. Also called retrospective study.

Step-by-step explanation:

Answer:

A case-control study is designed to help determine if an exposure is associated with an outcome (i.e., disease or condition of interest).

Step-by-step explanation:

please helpppp!!! it’s timed!!!! thank u for helping!!!!!

Answers

I think B answer ...

Answer:

10π in.

Step-by-step explanation:

circumference of a circle = 2πr

=2*π*5

=10π in.

A line passes through (1, - 1) and (3, 5). What is the equation of the line in slope-intercept form?​

Answers

Answer: a+b+c=0 and 3a+5b+c=0

Step-by-step explanation:

If you find a solution to these equations, you will find an equation of your line. Please notice that (a,b,c) defines the same line as (ka,kb,kc) and for any non-zero k, and a=b=c=0 defines no line equation at all. Now you can take a=1 and solve for b and c, or take b=1 and solve for a and c, or take c=1 and solve for a and b, at least one of these will work.

(Y = 179x
(Y = 105x + 2046
Graph pls

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator does a nice job of graphing these equations.

__

The very steep slope suggests the graph will need somewhat different vertical and horizontal scales in order to show anything useful.

Un recipiente cilíndrico tiene un diámetro de 160cm. y la misma altura. ¿Cuánto litros de agua puede caber?

Answers

Respuesta:

3215360 cm³

Explicación paso a paso:

Dado que :

Radio = 160/2 = 80 cm

Altura, h = 160 cm

Volumen de un cilindro = πr²h

Volumen del cilindro = π * 80² * 160

Volumen = 3215360 cm³

1.) The grade 6 class harvested 3 44 kg of tomatoes, 53 kg of eggplants and 2 42 kg of green pepper from their "Gulayan sa Paaralan”. How many kilograms of vegetables did they harvest in all? a. What is asked in the problem? b. What are the given facts? c. What operation will be used? d. What is the number sentence? e. What is the answer?​

Answers

Answer:

649 kg of vegetables

Step-by-step explanation:

What is asked?

The total number of vegetables planted

The given facts?

[tex]Tomatoes= 344kg[/tex]

[tex]Eggplants =53kg[/tex]

[tex]Green\ pepper =242kg[/tex]

The operation to be used?

The addition operation

The number sentence?

[tex]344 + 53 + 242[/tex]

The answer?

[tex]344 + 53 + 242 =639[/tex]

Can someone please help please.you will get 48 points

Answers

Answer:

x = 20

Step-by-step explanation:

We can use a ratio to solve

10         14

------ = ----------

x          28

Using cross products

10 * 28 = 14*x

280 = 14x

Divide by 14

280/14 = 14x/14

20 =x

Answer:

20 cm

Step-by-step explanation:

It says that both of these shapes are similar. If we divide 28/14=2.

Then we can also multiply 10 cm by 2 cm to get 20 cm .

x= 20 cm

Hope this helps!

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