Find the value of x. Express your answer in simplest radical form.

Find The Value Of X. Express Your Answer In Simplest Radical Form.

Answers

Answer 1

Answer:

Option D

Step-by-step explanation:

GIVEN :-

Length of hypotenuse = 5 unitsLength of both the legs of the triangle = x units.

TO FIND :-

Value of x

FACTS TO KNOW BEFORE SOLVING :-

Pythagoras Theorem states that measure of :-

Hypotenuse² = Base² + Perpendicular²

SOLUTION :-

The triangle given in the question is a right-angled triangle. So , Pythagoras theorem can be applied in it.

[tex]=> 5^2 = x^2 + x^2[/tex]

[tex]=> 2x^2 = 5^2[/tex]

[tex]=> x^2 = \frac{5^2}{2}[/tex]

[tex]=> x = \sqrt{\frac{5^2}{2} } = \frac{5}{\sqrt{2} }[/tex]

Rationalizing the value ,

[tex]=> x = \frac{5}{\sqrt{2} } \times \frac{\sqrt{2} }{\sqrt{2} } = \frac{5\sqrt{2} }{2}[/tex]


Related Questions

Which expression is equivalent to 30 ÷ (3 + x)?

Answers

Answer:

G maybe?

Step-by-step explanation:

complete the coordinates

Answers

Answer:

[tex]p(0,4)~Q(-3,0)[/tex]

Step-by-step explanation:

[tex]a) 4x+3y=12[/tex]

[tex]4(0)+3y=12[/tex]

[tex]3y=12[/tex]

[tex]y=4[/tex]

[tex]P(0,4)[/tex]

--------------

[tex]4x+3=12[/tex]

[tex]4x+3(0)=12[/tex]

[tex]4x=12[/tex]

[tex]x=3[/tex]

[tex]Q(-3,0)[/tex]

---------------------------

hope it helps...

have a great day!!!

Answer:

p(0, 4)  Q( -3 ,0)

Step-by-step explanation:

hope it helps you

please answer this question needed ASAP!!

Answers

The question is 5.5 hop it world

fast fat sfast eeeee

Answers

Step-by-step explanation:

3/9-2/93-2/91/9

stay safe healthy and happy..

Answer:

1/9

Step-by-step explanation:

=3/9 -2/9 =1/?

=3-2/9 =1/?

=1/9 .

I hope it helps u

mark me as brainlist answer

thank you

hey guys in the middle of my final! please help? will mark the brainiest + 30 points !

Answers

Answer:

X=90

..............

21.)
A rock concert brought in $432,500 on the sale of 9,500 tickets. If the tickets sold for
$35 and $55 each, how many of each type of ticket were sold?

Answers

Answer:

Step-by-step explanation:

a+b=9500 equation 1

35a+55b=432500 equation 2

a=9500-b modified equation 1 to isolate a

35(9500-b)+55b=432500 substitute value of a in equ 1 into value of a equ 2

332500-35b+55b=432500

20b=100000

b=5000

solve for a

a + b=9500

a + 5000=9500

a=4500

check answer:

35a+55b=432500

35(4500)+55(5000)=432500

157500+275000=432500

432500=432500

Help! Can anyone help? I’ve been stuck.. I’ll make sure to give Brainly. The answer is not 3,850. Thank you.

Answers

9514 1404 393

Answer:

  $3400

Step-by-step explanation:

The way these tax tables are structured, you pay 3% on the first $10,000, 5% on the next $40,000, and 5.5% on the remaining $20,000 above $50,000.

tax = 0.03·10,000 +0.05·(50,000 -10,000) +0.055·(70,000 -50000)

  = 300 + 2000 +1100

  = 3400 . . . dollars

The tax owed on $70,000 is $3,400.

_____

Additional comment

I like to rewrite this sort of table to a different format:

3% of income . . . . . . . . . . . . . . . applies for income ≤ 10,000(5% of income) -$200 . . . . . . . . applies for 10,000 < income ≤ 50,000(5.5% of income) -$450 . . . . . . .applies for 50,000 < income ≤ 100,000

For an income of $70,000, the tax computation using this form is one multiplication and one addition, rather than 3 multiplications and 4 additions as used when navigating the given table.

((HELP QUICK PLEASE))
Clark and his friends bought strawberry wafers for $2 per packet and chocolate wafers for $3 per packet at a carnival. They spent a total of $30 to buy a total of 14 packets of wafers of the two varieties.

Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Clark and his friends bought at the carnival. Make sure you say what each variable means! (Which one is which wafer type?)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer.​

Answers

Answer:

Step-by-step explanation:

A. S=strawberry, C=chocolate

    S+C=14 equation 1

     2s+3c=30 equation 2

B. -2(s+c)=-2(14) multiply equation 1 by -2 to use elimination method  

   -2s+-2c=-28 modified Equation 1

    2s+ 3c=30. Equation 2

          C=2 add above two equations.

solve for s

s+c=14

s+2=14

s=12

Used elimination method since it was easier to add the two equations.

check answer by inputting s,c values in either equation.

2s+3c=30

2(12)+3(2)=30

24+6=30

30=30

9514 1404 393

Answer:

2s+3c=30s+c=142 chocolate12 strawberry

Step-by-step explanation:

Part A:

I like to use variable names that remind me what they stand for. Here, we can use s and c for the numbers of strawberry and chocolate packets, respectively. The two equations we can write based on the problem statement are ...

  2s + 3c = 30 . . . . . . . the total cost of the purchase

  s + c = 14 . . . . . . . . . . the number of items purchased

__

Part B:

Ordinarily, I would use one equation for the problem. That equation can be arrived at by substituting for s using the second equation. We choose to substitute for s so the only remaining variable is the one representing the highest-value contributor to the total cost.

  s = 14 -c

  2(14 -c) +3c = 30 . . . . substitute for s

  28 +c = 30 . . . . . . . . . simplify (notice the coefficient of c is positive)

  c = 2 . . . . . . . . . . . subtract 28

  s = 14 -2 = 12 . . . . find s using the above equation

They bought 2 packets of chocolate and 12 packets of strawberry wafers.

__

Explanation of choices

When the total purchase is n items and x of them are of one kind, then n-x is the number of the other kind. You don't need to write a second equation to figure that out. Hence the problem can be described by a single equation, such as the one highlighted above. Doing this lets you skip a variable definition and a couple of solution steps you don't really need.

The choice of variable as being the high-cost item ensures that its coefficient in the equation will be positive. Fewer errors are made when arithmetic is done with positive numbers. Again, recognizing that early on saves headaches down the line.

Getting to a generic solution

Note that the number we subtract (28) is the "would be" cost of all of the items purchased being the lowest-cost item (14 strawberry packets). This recognition can let you do the entire problem in your head. The difference between the actual cost and the "would be" cost is the result of replacing some number of the lowest-cost items with the higher-cost ones. The difference between total costs is divided by the difference in cost per item to find the number of the higher-cost item. That is the answer to all problems of this type. (30 -14(2))/(3-2) = 2 = the number of $3 packets.

The perimeter of a rectangular painting is 244 centimeters. If the width of the painting is 51 centimeters, what is the length?​

Answers

Answer:

193 i think

Step-by-step explanation:

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How does this topic reinforce or change your belief about the application of math to your daily life?

Answers

Answer:

Step-by-step explanation:

Eso tiene que ser una respuesta propia

Step-by-step explanation:

hdgjgdsthtdbtxht yfspgjsdhjdjevrg

cot(-x)*sin(x) = -cos x

help pls lol

simplify that fist answer gets brainliest and if its a bs answer it doesn't count :D

Answers

Answer:

0

Step-by-step explanation:

first you will need to know the negative angle identities, which show that cot(-x)=-cot(x), you can then simplify that to -(cos/sin) so when you multiply by sin(x), or sin(x)/1, the sines cancel out and you are left with -(cos(x)/1)*(1/1) so your equation is now -cos(x)=-cos(x), so when you add the cosines over, you get zero

write the point-slope form of the equation of the line described.

1. through: (-2, 5), slope =6
2. passing through the following points:
x y
7 19
8 22
9 25
10 28

Answers

Answer:

6x - y + 17=0

Step-by-step explanation:

Given :-

The slope of the line is 6 and it passes through (-2,5) .

And we need to find out the equation of the line. Using the point slope form. The point slope form of the line is ,

[tex]:\implies[/tex] m ( x - x1) = ( y - y1)

[tex]:\implies[/tex] 6( x -(-2)) = ( y -5)

[tex]:\implies[/tex] 6( x +2) = y -5

[tex]:\implies[/tex] 6x +12= y -5

[tex]:\implies[/tex] 6x - y +17=0

Hence the equation of the line is 6x - y +17=0

Solve for x:/X - 2+ 10 = 12 (1 point)
x= 0 and x = 4
x= -4 and x = 0
x= -20 and x = 4
No solution

Answers

Answer:

x=4

Step-by-step explanation:

Rewrite as

x-2+10=12

x=12+2-10

x=4

Using graphing, what is the approximate solution of this equation?

Answers

Answer:

D. x ≈ 2.60

Step-by-step explanation:

After graphing both of these equations separately, we can see that they meet at a point of x = 2.59, therefore the answer to this question would be D. Both values also seem to meet at an x value of -0.548 but it is not an option in this question, probably because the y output value is close not the same for both equations. The graphs can be seen in the attached picture below.

Answer:

D. x ≈ 2.60

Step-by-step explanation:

Plato

Plz hurry

What is the mean of this set: {2, 6, 7, 9, 9, 9}?

6
7
8
9

Answers

Answer:

not sure but I think its 7

Step-by-step explanation:

2+6+7+9+9+9=42

42÷6=7

It is 7 you add all the numbers together and divide by how much numbers there are if that makes sense.

Please help me with this question

Answers

The answer is b for this question

What is the median of the following numbers? 6,4,1,9,3,8,3,5, 10
please help​

Answers

Answer:

5

Step-by-step explanation:

Mark brainliest

Answer:

5

Explanation:

given:

6, 4, 1, 9, 3, 8, 3, 5, 10

so let's sort it first:

1, 3, 3, 4, 5, 6, 8, 9, 10

the Median is the middle of a sorted list of numbers, and it's 5 in this case

(It doesn't matter that some numbers are repeated in the list)

Question 11 of 25
Which confidence level would produce the widest interval when estimating
the mean of a population from the mean and standard deviation of a sample
of that population?
A. 38%
B. 26%
C. 54%
D. 61%

Answers

61% confidence level would produce the widest interval since it is the highest.

Confidence interval

Z score is used to determine by how many standard deviation the raw score is above or below the mean.

Confidence interval is given by: mean ± margin of error

The margin of error is given by: [tex]z_\frac{\alpha }{2}* \frac{standard\ deviation}{\sqrt{sample\ size} }[/tex]

The confidence interval is dependent on the margin of error which also depends on the z score of the confidence level, hence the interval increases as the confidence level increases.

61% confidence level would produce the widest interval since it is the highest.

Find out more on Confidence interval at: https://brainly.com/question/15712887

Please help me solve this equation

Answers

Answer:

m<U = 38degrees

Step-by-step explanation:

From the given diagram, <B = <U since both triangles are similar, hence;

Hence;

2y+2 = 3y-16

2y - 3y = -16 - 2

-y = -18

y = 18

Get m<U

m<U = 3y-16

m<U = 3(18) -16

m<U = 54 - 16

m<U = 38degrees

How would the graph of the function y=|x|-4 be affected if the function were changed to y=|x|-1?

Answers

Answer:

[tex]y =|x| - 4[/tex] is translated 3 units up

Step-by-step explanation:

Given

[tex]y =|x| - 4[/tex]

Required

The changes that makes it to: [tex]y =|x| - 1[/tex]

By observation, we can see that [tex]y =|x| - 4[/tex] was translated up to [tex]y =|x| - 1[/tex]

Next, is to calculate the units of translation (c)

Represent the old function as:

[tex]y=\left|x\right|-4 + c[/tex]

Equate y and y

[tex]\left|x\right|-4 + c =\left|x\right|-1[/tex]

Cancel out |x|

[tex]-4 + c=-1[/tex]

Solve for c

[tex]c = 4 - 1[/tex]

[tex]c = 3[/tex]

Some1 help plzz hurry

Answers

Answer:

Your answer should be A because that is the only one that multiplies them all by 11

HOPE THIS HELPS

-Todo ❤️

Step-by-step explanation:

Biologists studying the re-vegetation of two species of succulent plants in the South African desert examined the number of plants that survived depending on whether they were planted in multi-species clumps or planted alone. The following data resulted: Planted in Multi-Species Clumps Planted Alone Number of Species 1 Survived 64 87 Number of Species 2 Survived 34 47

Answers

Step-by-step explanation:

sorry these is notr qoustoin:(

Ill give u 100 pointsss

Answers

Answer:

circumference of a circle :

                      [tex]2\pi r\\[/tex] = 2 π x 6 = 12π inches

What is the radius of a hemisphere with a volume of 1773 cm”, to the nearest tenth
of a centimeter?
Answer is - in cms

Answers

Answer:

R=9.5

Step-by-step explanation:

If anyone could pls do this for me  

https://brainly.com/question/23716720

Answer:

Radius(r) = 9.5 cm

Happy learning!

Applepi101

4 hunting, 7 fishing, 6hiking, and 3 camping events. How many different outdoor expeditions possible?

Answers

Answer:

its 420

Step-by-step explanation:

420+69+69=420

Is anyone brave enough to figure this out??? I’ll give Brainly (ToT) thank you !!

Answers

Answer: $52.50

Step-by-step explanation:

There is only 12 months and the interest compounds yearly so I guess it is just

3500 x 1.5% = 3500 x 1.5 / 100 = 35 x 1.5 = $52.50

Rounding is not needed

how long will it take her to run 4 miles?

Answers

Who is her and in what context but it takes me 40 minutes

1.
Suzanne, Archie and Frankie shared some sweets in the ratio 4:6:7.
Frankie got 24 more sweets than Suzanne.
Work out the total number of sweets they shared.

Answers

Answer:

136

Step-by-step explanation:

(4+6+7)/(7-4) × 24

= 17/3 × 24 = 136

Answer:

Answer:136

Suzanne=4/17

Archie=6/17

Frankie=7/17

Frankie-suzanne

(7-4)/17

3/17-----24

1/17------8

Total number of sweets=17/17

=8×17=136

What are the end behaviors of f(x) = (1/3)^x – 2 ?

Answers

Answer:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

Step-by-step explanation:

The end behaviors of a function simply denote where the function is headed at x approaches negative and positive infinity. In [tex]f(x)=\left(\frac{1}{3}\right)^x+2[/tex], as [tex]x[/tex] gets approaches [tex]-\infty[/tex], the function will approach [tex]y=\infty[/tex]. As [tex]x[/tex] approaches [tex]\infty[/tex], the function will approach [tex]y=2[/tex].

We can write this in the following format to denote these end behaviors:

[tex]\lim_{x\to -\infty} f(x)=\infty,\\\lim_{x\to \infty} f(x)=2,[/tex]

guys help me im du.mb

Answers

Answer:

-2/3x

hope this helps

have a good day :)

Step-by-step explanation:

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