A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x. Give your answer to 3 significant figures. (Quadratic Formula)

A Right-angled Triangle Has Sides Of Lengths (x+5)cm, (x-3)cm And 9cm. Calculate The Value Of X. Give

Answers

Answer 1

Answer:

x = (3.95 and -5.95)

Step-by-step explanation:

Given:

Hypotenuse = 9 cm

Perpendicular = (x+5) cm

Base = (x-3) cm

Find:

Value of x

Computation:

Using Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = [-b±√b²-4ac] / 2a

x = [-4±√16+376] / 2(2)

x = (3.95 and -5.95)


Related Questions

Garrett arrived at the train station at 12:35 P.M. His train finally came at 1:30 P.M. How long
did Garrett have to wait for the train?

Answers

Answer:

55 minutes

Step-by-step explanation

   He started waiting at 12:35 P.M. If we're assuming this is the same day, you're able to add the minutes until you get to 1:00 P.M., which is around 25 minutes. Afterwards, you need to add another 30 minutes to get to the train's time of arrival, which means you should get 55 minutes!

A tablet computer costs $356. Inez has saved $140 and hopes to save $12 per week until she can purchase a tablet computer. Which equation can be used to find the number of weeks, w, until Inez can purchase the tablet computer?

Answers

Answer:

D

12w + 140 = 356

Step-by-step explanation:

Her goal is to save up 356$. She already has 140$, and wants to save 12$ per week. We're trying to find how many weeks it would take.

You must multiply 12 by the number of weeks, which elimates the first two equations. We're also trying to add together 140 and the 12x because we want the total to ADD to 156.

Hopefully this makes sense, and ask any remaining questions about this in the comments. If you liked my explaination, feel free to give a Brainliest :P

Answer:

12w + 140 = 356

Step-by-step explanation:

give the other guy brainliest

I need help quick I’ll give extra point to who ever answers

Answers

Answer:

1 = c

2 = b

3 = d

4 = d

5 = a

Step-by-step explanation:

1) 3x-4>17

2) 3x-4<17

3) 3x-4<=17

4) 3x-4<=17

5) 3x-4>=17

Answer:

Step-by-step explanation:

If there are 30 boys and 15 girls in the room fill out all the possible ratios of boys to girls that could be made

Answers

Answer:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1

Step-by-step explanation:

If there are 30 boys and 15 girls in the room

We have :

Boys : Girls

30 : 15

a) 30 : 15

Dividing through by 3

= 10:5

b) 30 : 15

Dividing through by 5

= 6:3

c) 30 : 15

Dividing through by 15

= 2:1

Hence:

All the possible ratios of boys to girls that could be made are:

30:15

10:5

6:3

2:1


a QR is congruent to QP
b PR is congruent to QP
c PR is congruent to QR

Answers

Answer:

option c

Step-by-step explanation:

Answer:

its A

Step-by-step explanation:

because in the end QP go together so it either A or B and it A because thats how the triabgle goes

Task 4
Shelly started driving her own car for Uber. She
charges a flat fee of $5.00 and $0.50 for every
kilometer.
Q: How many kilometers were travelled if she
charges $32.50?

Answers

Answer:

5 and 10/11 kilometers

Step-by-step explanation:

if she gets $5.50 per 1 kilometer the she gets $33 dollars per 6 kilometers but she got 32.50 there are $0.50 missing which equals to 10/11 the actual price so she went 5 kilometers and 10/11 killometer

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the shaded region.
7 yd
11 yd
4 yd
8 yd

Answers

The area of the shaded region is 60 yd2

The area of the shaded region is 60 square units.

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

To find the area of the shaded region, we need to subtract the area of the rectangular region that was removed from the larger rectangular region.

The area of the larger rectangle is:

11 x 8 = 88

The area of the rectangle that was removed is:

7 x 4 = 28

So, the area of the shaded region is:

88 - 28 = 60

Therefore, the area of the shaded region is 60 square units.

Learn more about Area here:

https://brainly.com/question/27683633

#SPJ7

what is 3x2 + 5x - x2 - 2x + 3 simplifyed completely​

Answers

Answer:

2x^2+3x+3

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  1 more similar replacement(s).

STEP  1

The Equation at the end of step 1

 (3x2 +  5x) -  x2) -  2x) +  3

STEP  2

Trying to factor by splitting the middle term

2.1     Factoring  2x2+3x+3  

The first term is,  2x2  its coefficient is  2.

The middle term is,  +3x  its coefficient is  3.

The last term, "the constant", is  +3  

Step-1: Multiply the coefficient of the first term by the constant   2 • 3 = 6  

Step-2: Find two factors of  6  whose sum equals the coefficient of the middle term, which is   3.

     -6    +    -1    =    -7  

     -3    +    -2    =    -5  

     -2    +    -3    =    -5  

     -1    +    -6    =    -7  

     1    +    6    =    7  

     2    +    3    =    5  

     3    +    2    =    5  

     6    +    1    =    7  

Observation: No two such factors can be found !!

Conclusion: Trinomial can not be factored

Final result :

 2x^2 + 3x + 3

Hope this helps!

Brain-List?

what equation is y=4/5x+8 in standard form

Answers

Answer:

4x−5y=−40 I think thats the answer

Jim rolls a fair dice 36 times. How many times would Jim expect to roll a three?​

Answers

Answer:

6

Step-by-step explanation:

36/6=6

if it is a fair dice it will be even

Answer:

I think it's 6 but I'm not sure

Step-by-step explanation:

36:6=6

Gabrielle is 14 years older than mikhail. The sum of thier age is 84. What is mikhails age

Answers

Answer:

I really am just answering this for meh points, so I can ask a quesiton. Could you use this as helpfull xD. Taking a straight up guess. I think mikhail is 98

Step-by-step explanation:

Answer:

Mikhail is 35 years

Step-by-step explanation:

let mikhails age be k.

mikhail=k

Gabrielle=k + 14

k + k + 14=84

2k+14-14=84-14

2k=70

2k/2=70/2

k=35years

Help will mark brainlist.

1=
2=
3=
4=

Answers

1=45
2=45
3=45
4=45

4x45=180

Tell me a please is a time limit on this

Answers

Answer:

A

Step-by-step explanation:

(4+5)7=9*7=63

Answer:

its A

Step-by-step explanation:

4 pages in the morning and u have 7 days in a week so you do 4x7=28

5 pages eveaning same thing 5x7=33

35+28=63 letter A  

what is the distance between (-1, 2) and (3, 5)

Answers

Answer

the slope is 3/4 or .75

Answer:

The distance is 5 units.

Step-by-step explanation:

Key Skills needed for this problem: Distance Formula, Coordinate Plane Understanding, Radicals, Subtraction, Exponents, Addition

1) We are given 2 points --> (-1,2) and (3,5)

2) To find out the distance between both, we use distance formula.

This is: Given 2 points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], the distance between the 2 points would be: [tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex].

3) For the points (-1,2) and (3,5):

-1 is x12 is y13 is x25 is y2

4) Therefore it would be --> [tex]\sqrt{(-1 - 3)^{2} + (5-2)^{2}}[/tex]

5) This simplified would be [tex]\sqrt{(-4)^{2} + 3^{2}}[/tex]

6) This further simplified would be: [tex]\sqrt{16 + 9}[/tex]

7) This even more simplified would be [tex]\sqrt{25}[/tex] which is 5.

Therefore, the distance between the 2 points is 5 units.

Hope you understood and have a nice day!! :D

when 832 is divided by n, the result is 16

Answers

832/b=16 Answer : n=52



Explanation: 832/16 is equal to 52 then to check if this is right plug 52 in n and 832/52 is equal to 16 have a nice day (:

Joe is running after Bob. In a minute Joe does 60 steps, which makes up 3/16 of the number of steps, which Bob does in a minute. The length of Bob's step is 25 cm which makes up 5/24 the length of joe's step. With what speed do Bob and Joe run with what speed does the distance between them change? what will it become in 10 minutes, if right now bob is in front of joe by ten meters?

Joe is going with a speed of ____
cm per minute. Bob is going with a speed of ____
cm per minute. The distance between them changes with ____
cm per minute. The distance will become _____
cm in 10 minutes. _____

Answers

Answer:

Joe is going with a speed of 7200

cm per minute. Bob is going with a speed of 8000

cm per minute. The distance between them change with 800

cm per minute. The distance will become 9000

cm in 10 minutes

Answer:

7200 8000 800 and 9000

Step-by-step explanation:

L

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 868686 chocolate chip cookies and 424242 sugar cookies.
Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.
What is the greatest number of identical packages that Shaquira can make?
packages

Answers

Answer:

Think the answer is 1292928

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Can someone help me? After I figure out the sequence i have to write the formula. please help.
5/6, 2/3, 1/2, 1/3,...​

Answers

Rewrite the fractions to have a common denominator to find the difference:

2/3 = 4/6

Difference = 4/6-5/6 = -1/6

Sequence formula = an = a1 + d(n-1)

A1 is the first term 5/6

And d = -1/6

Sequence = 5/6 -1/6(n-1)

Simplify to get an =(-n +6)/6

Quadrilateral JKLM is graphed in the coordinate plane. Under which transformation
would the image of JKLM be similar to JKLM?

Answers

9514 1404 393

Answer:

  A

Step-by-step explanation:

Rigid transformations and dilation will result in similar figures. Choices B, C, and D are not rigid transformations or dilations, but are different stretches in one direction than another.

The transformation of A is a dilation by a factor of 2 and reflection over the y-axis. It results in similar figures.

Melanie is going to invest in an account paying an interest rate of 3.1% compounded
daily. How much would Melanie need to invest, to the nearest dollar, for the value of
the account to reach $11,900 in 14 years?

Answers

Using compound interest, it is found that Melanie would need to invest a value of $7,710.

What is compound interest?

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem, we have that:

Rate of 3.1%, hence [tex]r = 0.031[/tex].Compounded daily, hence [tex]n = 365[/tex].Value of $11,900 in 14 years, hence [tex]t = 14, A(t) = 11900[/tex].The amount she needs to invest is P.

Hence:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]11900 = P\left(1 + \frac{0.031}{365}\right)^{365(14)}[/tex]

[tex]1.54339P = 11900[/tex]

[tex]P = \frac{11900}{1.54339}[/tex]

[tex]P = 7710[/tex]

Melanie would need to invest a value of $7,710.

To learn more about compound interest, you can take a look at https://brainly.com/question/25781328

Find the equation of the linear function represented by the table below in slope-intercept form.

Answers

Answer:

y=-5x+1

Step-by-step explanation:

First lets identify what slope intercept form looks like:

y=mx+b

m=slope

b=y-intercept

the y-intercept would be at (0,1)

choose 2 points from the graph and lets find the slope.

The formula for slope is:

[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex]

The points we will be using will be (1,-4) and (2,-9)

so -9 will be [tex]y_{2}[/tex] and -4 is [tex]y_{1}[/tex]

2 is [tex]x_{2\\}[/tex] and 1 is [tex]x_{1}[/tex]

set up the equation.

[tex]\frac{-9-(-4)}{2-1}[/tex]

[tex]\frac{-5}{1}[/tex]

m = -5

So the slope is -5 and the y-intercept is 1

[To find the y-intercept all you have to do is find what y is counting by. In this is would be -5. Go backwards one on the table so x is 0 and take away -5 and it will give you 1 which would be the intercept]

So the equation will be

y=-5x+1

Now when you want to solve it you plug in the x and y values for the table but it doesn't ask you to do that,

I've included a picture so you have a visual.

If you need further assistance, don't be afraid to reach out. Hope this helps!

How much interest would you pay on a $12000 loan at 5% for 6 years

Answers

Answer:

Interest=$3600

Step-by-step explanation:

I = P * r * x * t

Where:

P is the principal amount, $12000.00.

r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

t is the time involved, 6....year(s) time periods.

So, t is 6....year time periods.

To find the simple interest, we multiply 12000 × 0.05 × 6 to get that:

The interest is: $3600.00

Usually now, the interest is added onto the principal to figure some new amount after 6 year(s),

or 12000.00 + 3600.00 = 15600.00. For example:

If you borrowed the $12000.00, you would now owe $15600.00

If you loaned someone $12000.00, you would now be due $15600.00

If owned something, like a $12000.00 bond, it would be worth $15600.00 now.

Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your family's visit to the aquarium as a function of the number of hours that you are there. Find the total cost of 4 hours at the aquarium

Answers

Answer:

Equation: y=$3(x)+$30

Total cost $42

Step-by-step explanation:

Calculation to Find the total cost of 4 hours at the aquarium using this formula

y=mx+b

Where,

y intercept=Total cost

m=$3 per hour

b=$30 Tickets

x=4 hours

Let plug in the formula

First step is to form the equation

y=$3(x)+$30

Second step is to substitute 4 hours for m and b

y=$3(4)+$30

Hence:

y=$12+$30

y=$42

Therefore the equation will be y=$3(x)+$30 while the total cost of 4 hours at the aquarium will be $42

Ann already knew 4 appetizer recipes before starting culinary school, and she will learn 3 new appetizer recipes during each week of school. Write an equation that shows the relationship between the number of weeks W and the number of appetizer recipes A.
Write your answer as an equation with a first, followed by an equals sign.

PLS SOMEONE ANSWER PLS PLS PLS! I WILL GIVE YO BRAINLIEST IF IT IS CORRECT!

Answers

Answer:

A = 3W + 4

Step-by-step explanation:

She learns 3 new recipes every week, which gives 3W

Then we add 4 because she already knew 4.

Factor( special patterns): 36x^2-84x+49

Answers

Answer:

(6x - 7) (6x - 7)

Step-by-step explanation:

A perfect square trinomial will be in the form of [tex]a^2[/tex] ± [tex]2ab + b^2.[/tex] A trick to factoring a perfect square trinomial would to write it as [tex](a^2[/tex]±[tex]b^2)[/tex]. (When doing this, the sign in the middle is determined by the middle sign in the original trinomial).

[tex]36x^2 -84x + 49[/tex] is known as a perfect square trinomial, too. Its first and last terms are both perfect squares (6x squared makes [tex]36x^2[/tex], 7 squared makes 49) and the middle term is 2 times the square roots of both of the other terms ( [tex](2) (7) (6x)[/tex] is [tex]84x[/tex]).

So, we can use the trick described earlier, and the answer would be [tex](6x-7)^2[/tex], also known as (6x-7) (6x-7).

Kdjdjrj did brisk ieendidndn

is 3.254 rational or irrational

Answers

It is rational

Hope this helps

Have a great day/night

What is the area of a rectangle with a base of 7 cm and a height of 11 cm

Answers

Answer: 77

Step-by-step explanation:

1) What are the solutions of (x/3) > -1?

is this asking if I need multiple solutions?​

Answers

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

Banita has a piece of string that is One-tenth times 7 inches long. Which fraction is equal to the length of Banita’s string?

One-tenth inches
Six-tenths inches
Seven-tenths inches
Eight-tenths inches

Answers

Seven tenths inches

Whats the answer? These are the answer choices.

A.The slope of function 1 is 3 greater than the slope of function 2.
B.The slope of function 1 is 9 greater than the slope of function 2.
C.The slope of function 2 is 3 greater than the slope of function 1.
D.The slope of function 2 is 9 greater than the slope of function 1.

Answers

I believe that the correct answer is B
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