Find the value of each variable. Write your answer in simplest radical form.

Find The Value Of Each Variable. Write Your Answer In Simplest Radical Form.

Answers

Answer 1

Answer:

Step-by-step explanation:

Guiding Statement

You must find x before you can find y. If an altitude is dropped from the right angle to the hypotenuse, then the value of the altitude = the two parts of hypotenuse multiplied together = the altitude squared.

Formula

Perhaps, instead of all that language, it is easier just to show you this in terms of what you have been given.

Solution

x^2 = 72                        Factor 72 into prime factors.

x^2 = 8 * 9

x^2 = 2 * 2 * 2 * 3 * 3    Take the square root of both sides.

√x^2 = √(2 * 2 * 2 * 3 * 3)  

Rule

For every pair of equal prime factors, take 1 factor outside the root sign and throw the other one away.

√x^2 = √(2 * 2 * 2 * 3 * 3)

x = √(2 * 2 * 2 * 3 * 3)                 Apply the rule

x = 2 * 3 √2

x = 6√2

Now with y

a = 6√2

b = 12

c = y Use the Pythagorean Theorum

c^2 = a^2 + b^2

c^2 = (6√2)^2 + 12^2

c^2 = 36*2 + 144

c^2 = 72 + 144

c^2 = 216

c = 6 √6

answer

x = 6√2

y = 6√6


Related Questions

I need this ASAP!!!!!

Answers

Answer:

7/5 y intercept 1

Step-by-step explanation

Answer:

B: slope 5/7 Y-intercept is 1

Step-by-step explanation:

To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.

The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.

the Y intercept is 1 because on the vertical line the line passes through 0,1.

Based on the graphs of the equations y = –2x + 3 and y = x2 – x + 1, the solutions are located at points:

(0.5, 0.75) and (1, 1)
(–2, 7) and (0, 1)
(0, 1) and (0.5, 0.75)
(–2, 7) and (1, 1)

Answers

The solutions of the equations are the point of intersection of the equations

The solutions are located at points (-2,7) and (1,1)

How to determine the solutions?

The equations are given as:

y = –2x + 3 and y = x2 – x + 1

Next, we plot the graph of both equations

From the graph of the equations (see attachment), we have the solution to be:

(x,y) = (-2,7) and (1,1)

Hence, the solutions are located at points (-2,7) and (1,1)

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

D.

(–2, 7) and (1, 1)

Step-by-step explanation:

I took the algebra exam

Solve for z.
X=3y+3z

Answers

Answer: Option 2

Step-by-step explanation:

Can someone help me with this??

Answers

Answer:

36

Step-by-step explanation:

10+8+6+6+6

Area of the top rectange is 10 (2x5)

Area of the bottom rectange is 8 (2x4)

Area of the right rectangle is 6 (2x3)

Area of both the triangles are 6 (4x3 divided by 2)

HELP PLEASE!!!! <3


Algebraically find the slope and the y-intercept of 3y - 8 = 2x.

thank you!!

Answers

Answer:

slope = 2/3     y intercept = 8/3

Step-by-step explanation:

re-arrange to slope intercept form    y = mx + b

3y = 2x + 8

y = 2/3 x + 8 / 3  

Answer:

[tex]Slope=\frac{2}{3}[/tex]  

[tex]Y-Intercept=\frac{8}{3}[/tex]

Hope This Helps! :)

Roxanne ran 10.73 miles on Monday and 3.01 miles on Tuesday. How many more miles did Roxanne run on Monday than Tuesday?

Answers

Answer:

7.72 miles

Step-by-step explanation:

Subtract 10.73 and 3.01 to find your answer

Answer:

Step-by-step explanation:

m

HELP RN IM FAILING PLEASE

Answers

Answer:

Top left.

Step-by-step explanation:

Answer: 3x + y = 3

Step-by-step explanation: For a line to be parallel it must have the same slope but a different y intercept. y = mx + b, where M is the slope, and B is the y intercept.

We can solve for y, using 3x + y = 3. Subtracting both sides from 3x, we get y = -3x + 3, which is a different y intercept but the same slope.

Solve the triangle. Round to the nearest tenth.

Answers

answer:

213.176 units^2

explanation:
1) find the height

10.8^2+h^2=22.5^2
h^2=389.61

h=19.7

2) use formula to find area

A=1/2bh

A=1/2(21.6)(19.7)

A=213.176

--

if this helped, please consider giving brainliest !

Check all fractions equivalent to 3⁄9?

Answers

Answer:

I don't see the problem, Where is the image?

Josh ran a two-lap race in 117.92 seconds. He ran the second lap in 59.13 seconds. How long did it take him to run the first lap?​

Answers

Answer:

According to my calculation this is the answer.Hope the picture will help you...

Find the mean for the following fractions
d
d + 1
d +5
4
12
24

Answers

Answer:

d+d+1+d+5+4+12+24/6

Step-by-step explanation:

add the numbers and divide them by 6

Answer:

3d + 432

Step-by-step explanation:

= d ÷ 4 + d + 1 ÷ 12 + d + 5 ÷ 24

= d + d + d + 1 + 5 ÷ 4 ÷ 12 ÷ 24

= 3d + 6 ÷ 0.013888.....

= 3d + 432

Please mark BRAINLIEST

help me bro fr i need dis done

Answers

Answer: 6^5 = 6^3 * 6^2

When your multiplying exponents, you just add the exponents. So, 3 should be the exponent in the box.

What's the volume of this container (QUICK)

Answers

Answer:

1468 in^3

Step-by-step explanation:

Multiply all of the larger box dimensions

10 * 10 * 15 = 1500  in^3

subtract the smaller box cut out corner

2 * 4 * 4 =  32

1500 - 32 = 1468 in^3

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

3.5

Step-by-step explanation:

Set up the Pythagorean Theorem (a^2 + b^2 = c^2) where the unknown side is x:

2^2 + x^2 = 4^2

4 + x^2 = 16

x^2 = 12

x = ± sqrt(12)

x ≈ 3.5

Note: '^' means "to the power of", so '^2' means "squared"

Haven baskets manufacturers 83,575 woven baskets a year. determine the minimum sales price Haven baskets must sell each basket for to break even, if the total annual fixed costs are $817,363.50 and the variable cost per basket is $12.17.
$21.95
$24.50
$29.65
$31.25​

Answers

Answer:

Step-by-step explanation:

Givens

Number of baskets sold = 83575

sale price of each = x

Fixed Cost of producing these baskets = 817363.50

Variable cost whis is part of the production of each basket = 12.17

Break Even means the costs = income.

Equation

83575*x = 12.17*83575 + 817363.50       Combine the multiplied facts

Solution

83575x = 1017107.75 + 817363.50          Combine addition on right

83575x = 1834471.25                               Divide by 83575

x = 1834471.25/83575

Answer: x = 21.95

Students voted to have a guinea pig or a hamster qs a class pet. Of thise students, 18 voted to have a guinea pig. This number represents 72% of the students who voted. What is the toatal number of students who voted

Answers

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

 Find the length of the third side. If necessary, write in simplest radical form.

IMAGE DOWN BELOW!

SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER

Answers

Answer:

third side: 2√14

using pythagoras theorem:

a² + b² = c²

t² + 5² = 9²t² + 25 = 81t² = 81 - 25t² = 56t = √56t = 2√14

Answer:

The unknown side of this triangle is 56 or 214

Step-by-step explanation:

Let the unknown side of this right angled triangle be x , so by using Pythagoras theorem we can find out the third side .

=> P² + B² = H²

=> P² = H² - B²

=> P² = 9² - 5²

=> P² = 81 - 25

=> P² = 56

=> P = √56 or 2√14

If u have 18 gallons of gas an you drove 250 miles how much gas is left

Answers

Answer:

Depends what vehicle is it does it burn alot of gas like pickup trucks or is it a little small Honda Civic

Step-by-step explanation:

Please help!!!!!! :)

Answers

Answer:

Option D

Step-by-step explanation:

Given equation:

-4x + 2 = -14

This equation can be solved by:

Isolating the variable(s) and its coefficient(s) on one side of the equation. Dividing both sides of the equation by the coefficient of "x" to isolate x.

Subtracting 2 both sides of the equation (according to step 1):

⇒ -4x + 2 = -14⇒ -4x + 2 - 2 = -14 - 2⇒ -4x = -16

Dividing -4 to both sides of the equation (according to step 2):

⇒ -4x = -16⇒ -4x/-4 = -16/-4⇒ x = 4

Therefore, Option D is correct.

Learn more about this topic: https://brainly.com/question/27460957

Answer:

d) 4

Step-by-step explanation:

Solving for the value of x,

→ -4x + 2 = -14

→ -4x = -14 - 2

→ -4x = -16

→ x = -16/-4

→ [ x = 4 ] {option d}

Verification of the value of x,

→ -4x + 2 = -14

→ -4(4) + 2 = -14

→ -16 + 2 = -14

→ -14 = -14

→ [ LHS = RHS ]

Hence, the value of x is 4.

Please help l just don’t understand new topic

Answers

Perimeter is found by adding all sides. And since you’re given the perimeter just do it backwards. X+x+y+y=48.

please please help me

Answers

Answer:

A. 36

Step-by-step explanation:

Right triangle angles in degrees always add up to 180° degrees. In addition, it must have a right angle (hence the name right triangle), which is 90 degrees.

Given the angle in degrees is 54, we can add 90 and 54 and subtract it from 180 to find the missing angle.

[tex]54+90=144[/tex]

Now, subtract from 180.

[tex]180-144=36[/tex]

Therefore, the degrees of the missing angle is 36.

#LearnWithBrainly

110% of 90 is what number a ?

? = 110 over 100
please help​

Answers

Answer:

90 is the orrect answer because I said so

Step-by-step explanation:

Answer:

The answer is a = 99

Step-by-step explanation:

We can solve this using ratios

First we set up the equation:

[tex]\frac{a}{90}= \frac{110}{100}[/tex]

Then cross-multiply:

[tex]100 * a = 90 * 110[/tex]

Simplify:

[tex]100 * a = 9,900[/tex]

Divide both sides by 100:

[tex]a = 99[/tex]

Ta-Da! The answer is a = 99

Hope this helps! :)

There are 8 teams to play against each other in a tournament. How many ways can 1st and 2nd place be awarded at the end of the tournament?

Answers

Answer:

28

Step-by-step explanation:

Correct option is C)

Matches played between 8 teams =7+6+5+4+3+2+1=21

The number of ways that can 1st and 2nd place be awarded at the end of tournament is 56.

What is permutation?

A permutation is an arrangement of objects in a definite order. The members of elements of sets are arranged here in a sequence where order matters.

According to the given question

we have  to find,

Number of ways  for 1st and 2nd place can be awarded

Number of ways for 1st place be awarded  = 8

Number of ways for 2nd place be awarded = 7

Therefore,

The total number of ways can 1st and 2nd place be awarded = (8)×(7)

=56.

Learn more about permutation here:

https://brainly.com/question/2295036

#SPJ2

At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?​

Answers

Answer:

i believe that its 84

Step-by-step explanation:

Find the standard deviation of the data given below: Ans: 12.03 Class Interval 10-20 20-30 30-40 40-50 50-60 frequency10 12 4 8 6 -20​

Answers

Answer:

•Make sure all words are spelled correctly.

•Try different keywords.

•Try more general keywords.

•Try fewer keywords.

I HOPE IT'S HELP <3

lat a = the length of a car in meters. Let b = the length of the same car in centimeters. which number is greater, a or b? Answer for 100 points.

Answers

Answer:

B

Step-by-step explanation:

Centimeters are 100 times bigger than meters, so if you had 1 meter, it would be 100 centimeters. Therefore, centimeters are greater than meters.

B is the answer I’ve had this question on one of my tests and I got a 93 average

41.6%, 15/25, 4.3, 18.4, 1/4 greatest to least
I will mark brainliest and please no links

Answers

Answer:

18.4, 4.3, 0.6, 0.416, 0.25

Step-by-step explanation:

Change all sets to the same value (decimal)

41.6 / 100 (move decimal 2 to the left) =

0.416

15/25 =

0.6

4.3

18.4

1/4 =

0.25

Data:

0.416, 0.6, 4.3, 18.4, 0.25

greatest to least;

18.4, 4.3, 0.6, 0.416, 0.25

What’s 1+7+6+8+10-12+5+22-4-12+16

Answers

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

3800 millimetres expressed in metres is​

Answers

Answer:

3.8 meters

Step-by-step explanation:

1000 mm=1m

3000mm = 3m

500mm=.5

100mm= .1

800mm=.8m

3800mm=3.8

In the figure, m What is the value of X?
A.) 6
B.) 7.2
C.) 4.6
D.) 3.3

Answers

[tex]7x-4=\angle PQS\\\\\implies 7x-4 =38\\\\\implies 7x = 38+4\\\\\implies 7x = 42\\\\\implies x = \dfrac{42}7 \\\\\implies x = 6[/tex]

Answer:

7.2

Step-by-step explanation:

5x+2=38

5x=38-2

x=36/5

x=7.2

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