Given a line segment containing the points A,B, & C, in order, if AB is 4 and BC is 16, then the length of AC would be ____. Select one: a. - 12 b. 12 c. 8 d. 20

Answers

Answer 1
The answer is d
All you have to do is add AB and BC together
Answer 2

The length of AC will be equal to 20 units for the given line.

What is the distance?

Distance is defined as the length between the two points here we have a line AC divided into two parts having a length of AB = 4 and BC is 16.

The length of the line AC will be calculated as:-

AC  =  AB  +  BC

Ac   =  4  +  16

AC  =  20 units.

Therefore the length of AC will be equal to 20 units for the given line.

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Related Questions

A gambler rolls a die 100 times.

Which of the following is the most likely amount of sixes rolled?

Answers

Answer:

17

Step-by-step explanation:

A standard die has a 1/6 chance of rolling a 6.

Over 100 rolls, a 6 is likely rolled (1/6)*100 times.

100/6=16.66, approximately 17 times

2xsquare-6x+3=0 by completing square method

Answers

Answer:

x = 2.36603 or 0.633975

Step-by-step explanation:

Here we want to solve the quadratic equation using the completing the square method.

2x^2-6x + 3 = 0

divide through by 2 first;

x^2 -3x + 3/2 = 0

x*2 -3x = -3/2

Half the x term will be -3/2 and squaring it is 9/4

we add this to both sides

x^2-3x/2 + 9/4 = -3/2 + 9/4

(x-3/2)^2 = 3/4

Finding square root of both sides

x-3/2 = √(3/4)

x = 3/2 ± √(3/4)

x = 3/2 + √(3/4) or x = 3/2-√(3/4)

which becomes

x = 2.36603 or 0.633975


What is the surface area of the rectangular prism?

Answers

Answer:

Right rectangular prism

A=2(wl+hl+hw)

l Length

w Width

h Height

Please help me! The answer choices are included in the picture.​

Answers

Answer:

C

Step-by-step explanation:

Let's just look at the point G(3) = 3

this point only occurs through one equation which is

g(x) = (1/3)x^2

Answer:

The answer is 1/3x^2 or in your case C.

Step-by-step explanation:

Well I just add the points on Desmos graphing.  The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.

why is, 9a is equivalent to 11a - 2a true ?

Answers

it would be falseeeeeee

Answer:

9a is equivalent to 11a - 2a because 11a-2a is 9a.

Step-by-step explanation:

On a coordinate plane, Curtis lives at (-4,-6) and John lives at (-4,-3) . If each unit on the grid is a mile, how many miles apart are John and Curtis.

Answers

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Find an equation for the hyperbola with center at origin (0,0), vertex (-6, 0) and focus
at (-10, 0)

Answers

-10 is the vertex dueeee

what is 5 1/6 (-2/5) written as a fraction

Answers

Answer:

-17/5

Use math papa it gives you the answer all you have to do is unput the equation

Step-by-step explanation:

Just the top half is what I need help with. I will give the the big

Answers

Answer:

Step-by-step explanation:

5.volume=8×7×6=336 mi³

6.r=16/2=8 yd

volume=4/3×π×8³=2048/3 π yd³

≈2144.7 yd³

7.r=2.5/2=1.25 in

v=πr²h=π×1.25²×5

volume of 150 cups=7.8125 π×150=1171.875 π in³≈3681.6 in³

8. statement not visible.

Which of the following is most likely to be a relative minimum for this graph?

Answers

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

Carole's age is five times Joe's age. The sum of their ages is 18. How old are Carole and Joe? (Solve using systems of linear equation)

Answers

c = 5j

c + j = 18

5j + j = 18

6j = 18

j = 3

c = 5(3) = 15

Answer: Carole is 15, Joe is 3

Answer:

Joe is 3 and Carole's age is 15

Step-by-step explanation:

Joe: x

Carole: 5x

5x+x=18

6x=18

x=3

f(0) = g(0)
f(-2) = g(-2)
f(0) = g(-2)
f(-2) = g(0)

Answers

Answer:

f(-2) = g(-2)

part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​

Answers

Answer:  [tex]\bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}[/tex]

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c²   , where "c" is the hypotenuse

[tex]9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}[/tex]

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

[tex]10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}[/tex]

Note: 12² + opposite² = 20²   →   opposite = 16

[tex]11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}[/tex]

Note: adjacent² + 5² = 6²   →   adjacent = √11

[tex]12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}[/tex]

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

a circle has a radius of 48 millimetres. What is the arc intercepted by a central angle that measures 3pi/4 radians? express your answer in terms of pi

Answers

Answer:

3π/4

Step-by-step explanation:

To determine the mean number of electoral votes, add all of the votes in the table and divide by .
There are a total of 535 electoral votes. The mean is votes per state.
The median of the electoral votes is .

Answers

Answer:

The median is the 268th observation.

Step-by-step explanation:

The mean of a data set is the value representing the entire data set.

The formula to compute the mean is:

[tex]\text{Mean}=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}[/tex]

The median of a data set is the middle most value in the data set.

For odd number of observations the median is given by:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

For even number of observations the median is given by:

[tex]\text{Median}=\frac{[\frac{n}{2}]^{th}\ \text{observation}\ +\ [\frac{n}{2}+1]^{th}\ \text{observation}}{2}[/tex]

In this case the mean number of votes per state is:

[tex]\text{Mean}=\frac{\text{Total number of electoral votes}}{\text{Total number of states}}[/tex]

There are n = 535 observations, This value is an odd number.

Then the median of the electoral votes is:

[tex]\text{Median}=[\frac{n+1}{2}]^{th}\ \text{observation}[/tex]

           [tex]=[\frac{535+1}{2}]^{th}\ \text{observation}\\\\=268^{th}\ \text{observation}[/tex]

Thus, the median is the 268th observation.

Answer:

To determine the mean number of electoral votes, add all of the votes in the table and divide by  

✔ 50

.

There are a total of 535 electoral votes. The mean is  

✔ 10.7

votes per state.

The median of the electoral votes is  

✔ 8

.

Step-by-step explanation:

Bill and Amy want to ride their bikes from their neighborhood to school which is 14.4 km away. It takes Amy 40 minutes to arrive at school. Bill arrives 20 minutes after Amy. How much faster (in km/h) is Amy than Bill for the entire trip?

Answers

Answer:

Amy is (21.6 - 14.4) 7.2 km/hr faster than Bill.

Distance = speed / time

Amy's speed

40 minutes = 40/60 = 2/3 hours

14.4 = speed / 2/3

Speed = 14.4 * 3/2 = 21.6 km/ hr

Bill speed

60 minutes = 1 hour

Speed = 14.4 km / hr.

Add or subtract (5x^2 + x-3) - (-2x^3 + 4)

Answers

Answer:

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)=2x³+5x²+x-7

Answer:

2x^3 +5x^2 +x -7

Step-by-step explanation:

(5x^2 + x-3) - (-2x^3 + 4)

Distribute the minus sign

(5x^2 + x-3) +2x^3 - 4

Combine like terms

2x^3 +5x^2 +x -7

Purple Taxi has no pick-up fee, but charges $0.25 per mile. ABC Taxi charges $3 for pick-up and $0.15 per mile. Which inequality can be used to find the number of miles, n, for which the cost of a cab ride with Purple Taxi exceeds the cost of a cab ride with ABC Taxi?

Answers

gohead ask a teacher or another site

I need the same question to

Which best describes the function?

Answers

Answer:

The last option on the list.

Step-by-step explanation:

I'll send a screenshot of the problem. I really look forward to an answer!

Answers

Answer:

a. 65

b. D

Step-by-step explanation:

The question asks for an expression that solves for the profit that the company will make from each phone. The expression would be 65x, where 65 represents $65 profit from each phone, since $50 is spent and $115 is made, 115-50 gives you the profit, $65

D is the answer because the question asks for the expression that shows the earnings, or how much is made from each phone

1: make x the subject: 4(x+y) = z
2: make b the subject: ab + cd = e

Answers

Answer:

1.x=(z/4)-y

2.b=(e-cd)/a

Step-by-step explanation:

1.

z=4(x+y)

Divide both sides by 4

z/4=x+y

Subtract y from both sides

(z/4)-y=x

Answer

x=(z/4)-y

2.

ab+cd=e

subtract cd from both sides

ab=e-cd

divide both sides by a

b=(e-cd)/a

Answer

b=(e-cd)/a

Answer:

[tex]1) x = \frac{z}{4} - y[/tex]

[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]

Explanation:

(1) Making x the subject: [tex]4(x + y) = z[/tex]

To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.

The detail procedure is described as following:

    [tex]4(x + y) = z[/tex]

Apply associate property:

<=> [tex]4x + 4y = z[/tex]

Send 4y to the right side (the sign of 4y must be changed from positive to negative):

<=> [tex]4x = z - 4y[/tex]

Divide both sides by 4:

<=> [tex]x = \frac{z}{4} - y[/tex]

(2) Make b the subject: [tex]ab + cd = e[/tex],  applying the similar procedure in part (1):

      [tex]ab + cd = e[/tex]

Send [tex]cd[/tex] to the right side (the sign of

<=> [tex]ab = e - cd[/tex]

Divide both sides by [tex]a[/tex]:

<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]

Hope this helps!

:)

If 65% of the light are on what percent of the lights are off

Answers

Answer:

since 100% is everything

100 - 65 = 35%

Step-by-step explanation:

35% of the lights are off

Answer:

35% are off

Step-by-step explanation:

The lights are either on or off

That is 100%

100 -65 = 35

65% are on

35% are off

solve 2x2 + 16x + 6 = 0 by completing the square. Round the solutions to the nearest hundredth

Answers

Solve by completing the square;
X= plus or minus the square root of 13 minus 4
Or in decimal form
X= -0.39. X= -7.61

Help please !!!!! thank you

Answers

Answer:

C

Step-by-step explanation:

To find the product you must multiply the two expressions:

[tex](x-3)*(x+7)[/tex]   Starting equation

[tex]x^{2} +7x-3x-21[/tex]   Use the FOIL method to multiply the two binomials

[tex]x^{2} +4x-21[/tex]  Combine like terms

Please answer correctly !!!!!! Will mark brianliest !!!!!!!!!!

Answers

Answer:

The answer is No

Step-by-step explanation:

None of these match eachother or make any sense

Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?


$ ___

Answers

Answer:

Expected Payoff ⇒ $ 1.50 ; Type in 1.50

Step-by-step explanation:

Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;

[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]

Thus, Solution ; Expected Payoff ⇒ $ 1.50

Rohan and Ronit went to the sea shore during their vacations they stood at a point and decided it to be the starting point. For every step Ronit moved forward Rohan took three steps backward . If the distance covered between the starting point and Ronit is +96 then find out Rohan's position and the distance between Ronit and Rohan .

Answers

Answer:

-288

Step-by-step explanation:

math

Please help! Correct answer only please! I need to finish this assignment by today.

Out of the people who have already taken their seats at a seminar, 3 people have blond hair while 6 people do not. What is the experimental probability that the next person to take a seat will have blond hair?

Simplify your answer and write it as a fraction or whole number.

P(blond) =

Answers

Answer:

1/3

Step-by-step explanation:

there are nine people in total because 6 + 3 = 9. so since 3 out of 9 people are blond, the probability is 3/9. simplified it will be 1/3 :)

The experimental probability that the next person to take a seat will have blond hair is 1/3.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

The experimental probability of an event is determined by dividing the number of favorable outcomes by the total number of possible outcomes.

In this case, the total number of people who have already taken their seats is 3 + 6 = 9. Of these, 3 people have blond hair.

So, the experimental probability that the next person to take a seat will have blond hair is:

P(blond) = 3/(3+6) = 3/9 = 1/3.

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Find the surface area of the triangular prism. The base of the prism is an isosceles triangle.

Answers

Answer:

[tex]A=2\times25\times 44+14\times44+2\times\frac{14\times24}{2} =3152\; cm^2[/tex]

The surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

What is a triangular prism?

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a triangular prism, is showing in the picture:

Here  a = 25

b = 25

c = 14

h = 44

The surface area of the triangular prism is given by:

[tex]\rm A=ah+bh+ch+\dfrac{1}{2}\sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4][/tex]

Plug all the values in the formula we get:

A = 3152 square cm

Thus, the surface area of the triangular prism is 3152 square cm if the  base of the prism is an isosceles triangle.

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An online company lets you download songs for $0.99 each after you have paid a $5 membership fee. Which domain would be most appropriate to calculate the cost to download songs? *

A.rational numbers greater than zero
B.whole numbers greater than or equal to one
C.integers less than or equal to zero
D.whole numbers less than or equal to one

Answers

Answer:

I assume that songs are $0.99 each.  Let x represent the number of songs you download.  Then the total cost of downloading x songs would be

C(x) = $5.00 + ($0.99/song)x

and ONLY integers = to or greater than 0 make sense here.  The domain is [0,  100) assuming you cannot buy more than 100 songs.

Personally I'd give the answer as "2, whole numbers more than or equal to zero."  However, IF you don't pay the membership fee until ready to actually order one or more songs, then "2, whole numbers greater than or equal to one" makes sense.  You'd pay $5 plus $0.99 for one song, in that case.

Step-by-step explanation:

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