What is the length of the hypotenuse of the triangle when x= 12?
6x+4
5x
The length of the hypotenuse is about
(Round to the nearest tenth as needed.)

Answers

Answer 1

Answer:

The length of the hypotenuse: c = 96.8 units

Step-by-step explanation:

Given the sides

a = 6x+4b = 5xc = hypotenuse = ?

Given that the x = 12

so

a = 6x+4 = 6(12)+4 = 76b = 5x = 5(12) = 60

Pythagorean Theorem:

For a right angled triangle with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]c=\sqrt{a^2+b^2}[/tex]

substituting a = 76 and b = 60

[tex]c=\sqrt{76^2+60^2}[/tex]

[tex]c=4\sqrt{586}[/tex]

[tex]c = 96.8[/tex] units

Therefore, the length of the hypotenuse: c = 96.8 units


Related Questions

The following equation has two different solutions. Solve the equation and place one solution in each answer box. The LARGER answer goes in Box1. The SMALLER solution should go in Box2. Solve for x : x 2 + 11 x + 18 = 0

Answers

Answer:

would that be 31 if if im  wrong im  just nine                          Step-by-step explanation:

Please help ASAP I will mark Brainliest if there are multiple answers!!!
Which island is closest to Island A?

Answers

Answer:

island C

Step-by-step explanation:

island C is 14 units away from island A, whereas island B is 20 units away

hope this helps!! :)

A graph that has a finite or limited number of data points is

Answers

Answer:

limited

Step-by-step explanation:

Use quadratic regression to find
the equation of the parabola
going through these 3 points.
(-3,88), (2,-27), (4,-17)
y = [ ? ]x2 + [ ]x + []

Answers

9514 1404 393

Answer:

  y = 4x² -19x -5

Step-by-step explanation:

Put the numbers into an appropriate tool and see what it tells you. The Desmos graphing calculator says the equation is ...

  y = 4x² -19x -5

I need help with this, I CANNOT get this wrong.​

Answers

Answer:

Transitive

Step-by-step explanation:

If A = B and B = C then A = C

Transitive

Mr.Chang has a class of 18 students. He can spend $21 on each student to buy math supplies for the year. He first buys all of his students calculators, which cost a total of 170.64. After buying the calculators, how much does he have left to spend on each student

Answers

Answer:

572557486637778886367828766664728274747447378328288273

Answer: $11.52 left for each student

Step-by-step explanation:

First, divide the total amount of money spent by the total amount of students. 170.64/18. You will get $9.48. So, that means that so far Mr. Chang has spent $9.48 on each student. Then, just subtract $9.48 from $21 (which is the total amount he is willing to spend on each student. You should get $11.52. So, Mr. Chang has $11.52 left to spend on each student. Hope this helps!

Solve the following equation for y
24x - 8y = 72
I need help right now as fast as u can

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    24*x-8*y-(72)=0

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  24x - 8y - 72  =   8 • (3x - y - 9)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    8   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   3x-y-9  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  3x-y-9  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 9/-1 so this line "cuts" the y axis at y=-9.00000

 y-intercept = 9/-1  = -9.00000

Calculate the X-Intercept :

When y = 0 the value of x is 3/1 Our line therefore "cuts" the x axis at x= 3.00000

 x-intercept = 9/3  =  3

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -9.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - (-9.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

    Slope     = 3

Geometric figure: Straight Line

 Slope = 3

 x-intercept = 9/3 = 3

 y-intercept = 9/-1 = -9.00000

Solve for y

8y - 8 = 4x

Answers

Answer:y= 1/2x +1

Step-by-step explanation: This is your answer

Answer:

Step-by-step explanation:

8y - 8 = 4x

Add 8 to both sides

 8y = 4x + 8

Divide both sides by 8

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

SOMEONE HELPPPPPP Meeee pleaseeeee

Answers

Answer:

yes they are.

Step-by-step explanation:

if you were to divide the numbers in the first triangle by 2.5 you would get the numbers of the other triangles and vice versa for the other triangle

I need help on how to find out this answer asap !!!

Answers

Answer:I think 45 is your answer buddy...!!

i need severe help Plz

Answers

Answer:

-12

Step-by-step explanation:

Mark as Brainliest.

Because I am Indian and solving your question from India.

help???????????????????????????????????????????????

Answers

Answer:

The number of children = x = 173

The number of Adults = y = 201

Step-by-step explanation:

Let the number of children = x

The number of Adults = y

Charge per child = $3

Charge per Adult = $5

Total number of tickets sold = 374

Amount raised = $1524

System of Equations

x + y = 374..... Equation 1

x = 374 - y

3x + 5y = 1524....Equation 2

We solve this question using substitution method

We substitute 374 - y for x in Equation 1

3(374 - y) + 5y = 1524

1122 - 3y + 5y = 1524

- 3y + 5y = 1524 - 1122

2y = 402

y = 402/2

y = 201

Solving for x

x = 374 - y

x = 374 - 201

x = 173

Hence:

The number of children = x = 173

The number of Adults = y = 201

Look at the photo
Show your work
FIRST TO ANSWER CORRECTLY GETS 22 POINTS AND BRAINIEST

Answers

Answer:

We can't even see the whole questions so how do you expect us to awnser it when we can't even see the full questions

Leslie used 25% of a half-gallon of milk for a recipe. How many ounces of milk were left?

Answers

Answer:

One moment...I'm figuring it out...the answer is 48 ounces.

Step-by-step explanation:

there are two food trucks for sale that would be perfect for your business. the blue food truck is in perfect condition, but 8,000 more than the green food truck. The green food truck is in need of repairs to make it fully functional. The two trucks together cost 172,000. How much does each food truck cost

Answers

Answer:

blue truck-$82000 green truck-$90000

Step-by-step explanation:

x+8000=y

x+y=172000

Each set of ordered pairs represents a function. Which set of ordered pairs would represent a function if the values of the x-coordinates and the values of the y-coordinates were
reversed?
O ((1,1). (2, 1), (3,1),(4,1);
O {(1,2), (2, 2).(3.3), (4,3)}
O {(1,4),(2,3), (3,1),(4,3)}
O [(1.2).(2,3), (3,4),(4.5))

Answers

Answer:

[(1.2).(2,3), (3,4),(4.5))

Step-by-step explanation:

once reversed, no x-values repeat therefore these ordered pairs would represent a function.

hope this helped!

The last set of ordered pairs, [tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex], would still be a function even if its  x- and y-coordinates where reversed.

Reversing the x- and y-coordinates is like finding the inverse relation.

An inverse relation will be a function if the original function were one-to-one. The only set of ordered pairs that satisfies this condition is

[tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex]

The other options are many-to-one relations. On reversing their  x- and y-coordinates, they each become one-to-many relations. All functions are either one-to-one, or many-to-one.

So, the answer is the last set of ordered pairs [tex]\{(1.2),(2,3), (3,4),(4.5)\}[/tex]

Learn more about functions and relations here: https://brainly.com/question/2253924

Alex stayed up 20 a week How many hours did Alex stay up in 12 weeks?

Answers

Answer:

240 hours

Step-by-step explanation:

1 week = 20 hours

12 weeks = 20 × 12

= 240 hours

What value of a is a solution to this equation?
1=3+a
4

Answers

Answer:

1=a4+3

Step 1: Subtract a^4+3 from both sides.

1−(a4+3)=a4+3−(a4+3)

−a4−2=0

Step 2: Add 2 to both sides.

−a4−2+2=0+2

−a4=2

Step 3: Divide both sides by -1.

−a4

−1

=

2

−1

a4=−2

Step 4: Take root.

a=±(−2)(

1

4

)

Answer:

No real solutions.

The graphs below have the same shape. What is the equation of the blue
graph?
A. g(x) = (x+4)^2
b. g(x) = x^2-4
c. g(x) = x^2+4
d. g(x) = (x-4)^2

Answers

It would be (x-4)^2

It has a horizontal shift of 4 to the right

(D)  [tex]g(x)=(x-4)^{2}[/tex]

Graphs:The set of ordered pairings (display style [tex](x,y)[/tex]) of a function (display style [tex]f(x)=y[/tex]) in mathematics is known as the graph of that function. These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the typical case where "display style [tex]x[/tex]" and "display style [tex]f(x)[/tex]" are real values.Graph equations:Equations with graphs as the unknowns are known as graph equations in graph theory. The concept of isomorphism is one of the key issues in graph theory. Different graph equations may be used to express the aforementioned graphs.

Therefore, the correct equation for the blue graph is [tex]g(x)=(x-4)^{2}[/tex].

Know more about the Graphs here:

https://brainly.com/question/4025726

#SPJ2

Translate the sentence into an equation.

Eight more than the quotient of a number and 3 is 5.

This would help a lot

Answers

n/3+8=5 because quotient means divide so it is asking you to divide a number and 3 and more than is addition which is asking you to add 8 then 5 is the total hence n/3+8=5

Laurissa rolls two number cubes each with the numbers 1 through 6. Laurissa adds the numbers that appear on the roll. Which two sums have an equal chance of occuring?

Answers

3 because she rolls a 6

Answer:

5 and 11

Step-by-step explanation:

A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per text message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c:
c = 39.95 + 0.15(s + r)

If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.

Answers

Answer:

c= 39.95 +0.15 (s + r) (take the 63 received and plug it in for r and 53.45 in for c then solve)

53.45= 39.95 +0.15 (s +63) (use the distributive property)

53.45 = 39.95 + 0.15s + 9.45 (combine like terms on the right side)

53.45 = 49.40 +0.15s (subtract 49.40 from both sides)

4.05 = 0.15s (divide both sides by 0.15 so isolate s)

s= 27 (how many text messages were sent)

Step-by-step explanation:

I hope this helps :)

Answer:

s=27

Step-by-step explanation:

(16x^2 + 27x)/ 6x


Is this in the simplest form?

Answers

[tex] \frac{16 {x}^{2} + 27x}{6x} [/tex]

[tex] \frac{ {16x}^{2} }{6x} + \frac{27x}{6x} [/tex]

[tex] \frac{16x}{6} + \frac{27}{6} [/tex]

[tex] \frac{16x + 27}{6} [/tex]

find the third proportion to 8 and 12​

Answers

Answer:

let the third proportion be x.

then 8,12 and x are in proportion

then 8:12=12:x

8x=12×12

x=144/8=18

Step-by-step explanation:

Mr. Branscum can eat 11 bologna sandwiches in 2 minutes. How long will it take him to eat 77 bologna sandwiches if he continues at the same rate? (assuming he doesn't get sick!)​

Answers

Answer:

14 min

Step-by-step explanation:

Dinesh wrote a number greater than 4699 and less than 5100 what is the number in hundreds place

Answers

Answer: choices for the number in hundreds place =  7 , 8, 9,0

Step-by-step explanation:

Given: Dinesh wrote a number greater than 4699 and less than 5100.

Numbers greater than 4699 = 4700, 4701,.....

Numbers less than 5100 = 5099, 5098 , .....

From 4700 to 5099 , the possible values for hundreds place = 7 , 8, 9,0

So, the choices for the number in hundreds place =  7 , 8, 9,0

Simplify the expression.

ab – 2ac + cb

Answers

Answer:

ab - 2ac + cb

Step-by-step explanation:

This expression cant be simplified

I mark brainliest! please help!
which graph shows all the values that satisfy 2/9x+ 3> 4 5/9​

Answers

Answer:

The first option

Step-by-step explanation:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

8 4/3 шло в России и Белоруссии не могу найти человека по его словам

I need help with geometry

Answers

Answer:

Segment QR is the shortest

Answer:

qr

Step-by-step explanation:

find the slope of the line passing through the given points ​

Answers

Answer:

-5/6

Step-by-step explanation:

Slope= y2-y1/x2-x1

Answer:

The slope is -5/6

Step-by-step explanation:

You can use the method rise over run and count how many squares it takes to go from the y coordinate 4 to the y coordinate -1, which is -5. You can then count how many squares you need to get from the point -3 to 3 which is 6. Or you can use the formula to find slope, (y2-y1)/(x2-x1) and plug in you numbers.

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