Consider the diagram below. which of the following represents the values x,y and z?

Answers

Answer 1

Answer:

[tex]x=4\sqrt{6}\ units[/tex]

[tex]y=4\sqrt{2}\ units[/tex]

[tex]z=4\sqrt{3}\ units[/tex]

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

[tex]x^2=y^2+(12-4)^2[/tex]

[tex]x^2=y^2+64[/tex]

[tex]y^2=x^2-64[/tex] ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

[tex]z^2=y^2+4^2[/tex]

[tex]z^2=y^2+16[/tex]

[tex]y^2=z^2-16[/tex] ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

[tex]12^2=x^2+z^2[/tex]

[tex]144=x^2+z^2[/tex] ----> equation C

step 4

Equate equation A and equation B

[tex]x^2-64=z^2-16[/tex]

[tex]x^2=z^2+48[/tex] -----> equation D

step 5

substitute equation D in equation C

[tex]144=z^2+48+z^2[/tex]

solve for z

[tex]2z^2=144-48[/tex]

[tex]2z^2=96[/tex]

[tex]z^2=48[/tex]

[tex]z=\sqrt{48}\ units[/tex]

simplify

[tex]z=4\sqrt{3}\ units[/tex]

Find the value of x

[tex]x^2=z^2+48[/tex]

[tex]x^2=48+48=96[/tex]

[tex]x=\sqrt{96}\ units[/tex]

[tex]x=4\sqrt{6}\ units[/tex]

Find the value of y

[tex]y^2=z^2-16[/tex]

[tex]y^2=48-16[/tex]

[tex]y^2=32[/tex]

[tex]y=\sqrt{32}\ units[/tex]

[tex]y=4\sqrt{2}\ units[/tex]

Consider The Diagram Below. Which Of The Following Represents The Values X,y And Z?

Related Questions

Angel walked 1.34 miles from home to school. He then walked 2.12 miles from school to the park. Finally, he walked 1.94 miles from the park back home. Which trip was the furthest distance? Which trip was the shortest distance?

Answers

Answer:

The furthest distance was 2.12 miles from school to the park.

The shortest distance was 1.34 miles from home to school.

Final answer:

The furthest distance was from school to the park, and the shortest distance was from home to school.

Explanation:

In order to determine which trip was the furthest distance and which trip was the shortest distance, we need to compare the distances of each trip. Angel walked 1.34 miles from home to school, 2.12 miles from school to the park, and 1.94 miles from the park back home.

Comparing the distances, we can see that the trip from school to the park (2.12 miles) was the furthest distance, while the trip from home to school (1.34 miles) was the shortest distance.

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The difference of 5 and n cubed

Answers

Answer:

6n

Step-by-step explanation:

Final answer:

The difference of 5 and n cubed is calculated by subtracting n cubed from 5. This involves simple algebraic manipulation.

Explanation:

The difference of 5 and n cubed can be represented as 5 - n³. This means subtracting the cube of the variable n from 5.

To illustrate, if n=2, the calculation would be 5 - 2³ = 5 - 8 = -3.

Therefore, the result of the difference between 5 and n cubed is 5 - n³.

6) Happy Paws charges $20.00 plus $2.50 per hour to keep a dog during the day
Woof Watchers charges $9.00 plus $3.75 per hour, Write an equation and solve
it to find for how many hours the total cost of the services is equal, Use the
variable h to represent the number of hours,

Answers

Answer:

8.8 hours

Step-by-step explanation:

Given: Happy Paws charges $20.00 plus $2.50 per hour to keep a dog.

           Woof Watchers charges $9.00 plus $3.75 per hour.

Lets assume the number of hours service provided be "h".

First, writing an equation for Happy paws cost for service.

Total cost of service= [tex]\$ 2.5\times h+ \$ 20[/tex]--- equation 1

Second, writing an equation for Woof watchers cost of services.

Total cost of service= [tex]\$ 3.75\times h+ \$9[/tex]--- equation 2

Now, finding number of hours services provided, when cost of service will be equal for both service provider.

∴ [tex]2.5h+ 20= 3.75h+ 9[/tex]

Solving the equation now to find number of hour.

⇒ [tex]2.5h+ 20= 3.75h+ 9[/tex]

Subtracting both side by 2.5h

⇒ [tex]20= 3.75h+ 9-2.5h[/tex]

Subtracting both side by 9

⇒ [tex]1.25h= 11[/tex]

Dividing both side by 1.25

⇒[tex]h= \frac{11}{1,25}[/tex]

∴[tex]h= 8.8\ hours[/tex]

Hence, 8.8 hours is the number of hours when cost of service will be equal for both service provider.

x=9y
5x+3y= -48
What does x equal?
What does y equal?

Answers

you can plug the x value (9y) into the second equation

5(9y) + 3y = -48

45y + 3y = -48

48y = -48

y = -1

x = 9(-1)

x = -9

Answer:

x = 9

y = -31

Step-by-step explanation:

5x+3y

y = -31

x = 9

plug it in

X-5/5+10 simplify this algebraic expression

Answers

Answer: X - 5 ÷ 15

Step-by-step explanation: The first step to algebra is to collect like terms. Since X is an a variable, we cannot solve X - 5. But we can solve 5 + 10, since those are both numbers. 5 + 10 is 15. So therefore, your simplified expression would be X -5 ÷ 15.

Hope this helps! Please correct me if I'm wrong! :D

Which numbers are the means of the proportion shown below?
2/3 = 20/30

Answers

Answer:

The means are 3 and 20.

Step-by-step explanation:

A proportion is simply a statement that two ratios are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

Consider given proportion

Here, 2 and 30 are the extremes and 3 and 20 are the means.

Answer:the answer is below

Step-by-step explanation: 3 and 20

which of the following is not a common procedure leading to foodborne illness:
a. undercooked foods
b. poor personal hygiene
c. overcooked foods
d. food held at improper temp

Answers

C overcooked foods will not

The statement which is not a common procedure leading to foodborne illness is overcooked foods, the correct option is C.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Four options related to foodborne illness

Now,

Out of the four options you gave only one is not a common procedure leading to foodborne illness:

a. undercooked foods b. poor personal hygiene c. overcooked foods d. food held at improper temperature

Overcooked foods may lose some of their nutritional value or taste but they are unlikely to cause foodborne illness unless they are burned or charred which can produce harmful chemicals such as acrylamide or polycyclic aromatic hydrocarbons (PAHs). However this is not a common procedure leading to foodborne illness compared to the other options.

Therefore, by unitary method the answer will be overcooked foods.

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lim x-1 x2 - 1/ sin(x-2)

Answers

Answer:

           [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=0[/tex]

Explanation:

Assuming the correct expression is to find the following limit:

         [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}[/tex]

Use the property the limit of the quotient is the quotient of the limits:

         [tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}[/tex]

Evaluate the numerator:

          [tex]\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}=\frac{1^2-1}{\lim_{x \to1}sin(x-2)}=\frac{0}{\lim_{x \to 1}sin(x-2}[/tex]

Evaluate the denominator:

Since         [tex]\lim_{x \to1}sin(x-2)\neq 0[/tex]

                  [tex]\frac{0}{\lim_{x \to1}sin(x-2)}=0[/tex]

Sheila mixed 3 ounces of blue paint with
2 ounces of yellow paint. She decided to
create 20 ounces of the same mixture. How
many ounces of yellow paint does Sheila
need for the new mixture?

Answers

Answer:

she needs 6 ouonces of yellow paint

Step-by-step explanation:

she has 5oz, 3 blue: 2 red, she needs 20oz. which means she needs 15oz more. 15/5=3. 3*2=6

A baseball team played 162 games. They won 44 more games than they lost. How many games did they lose?

Answers

Hey, the answer is 59 I think. ‘Cause it’s said they played 162 games, they won 44 more games than they lost. So they won 103 times, and lost games 59 times

Answer:

Step-by-step explanation:

Total game played = 162

Let the games lost be = x

Game won = x + 44

x + x + 44 = 162

2x = 162 - 44

2x = 118

x = 118/2

x = 59

The number of games lost is 59

A parallelogram has one angle that measures 120°. What are the measures One of three angles in a parallelogram?

Answers

the answer is 20*. i hope so

Answer:

60 degrees

Step-by-step explanation:

First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)

This works out to 180(4-2)=360 degrees.

Now we can set up the following equation as:

2(120)+2x=360 Subtract 240 from both sides to get:

2x=120 Divide by 2 to get:

x=60 degrees

Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.

House prices in a certain area went
up by 150% between 1995 and 2005.
The price of a house in the area was
£180 000 in 2005.
What was its price in 1995?

Answers

Answer:

£60000

Step-by-step explanation:

A scientist studied a population of 300 lizards. It was revealed that 25/300 lizards had red spots on their back. Based on the results of her study, how many lizards in the population did NOT have spots on their backs

Answers

Answer:

[tex]\frac{11}{12}[/tex]

Step-by-step explanation:

300 - 25 = 275

275/300 = 11/12 simplified

Answer:

11/12

Step-by-step explanation:

Break 42 into 7 equal fractions

Answers

Answer:

42/7 = 6.00

6.00 x 7 = 42

6.00 is fraction for 42.

Step-by-step explanation:

42 divided b 7 is 6.

Unemployment is the ratio of
A. unemployed workers to employed workers
B. unemployed workers to total workers
C. workers to total population
D. workers to nonworkers




Answers

Answer:

C. Workers to total population.

Final answer:

Unemployment is defined as the condition of people who are able to work but cannot find jobs. The unemployment ratio is most accurately described by option B: 'unemployed workers to total workers'. This does not include people who are not part of the labor force.

Explanation:

Unemployment is defined as the condition in which people who are able and willing to work cannot find jobs. In terms of the provided options, unemployment is best defined by option B: 'unemployed workers to total workers'. This is because the unemployment rate is calculated by dividing the number of unemployed individuals by the total number of individuals in the labor force (which includes both the employed and the unemployed) and then multiplying by 100 to get a percentage.

This measure gives a good representation of the number of people who are jobless compared to the overall amount of people who are either working or actively seeking work. It's important to keep in mind that it doesn't include people who are not part of the labor force, like children, retirees, and others who are not looking for work.

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A rectangle is 5 times as longer than it is wide. Its width is three-sixteenths of its perimeter. Find its perimeter.

Answers

length = 5x
width = x
area = 125
A = L*W
125 = (5x)(x)
125 = 5x^2
125/5 = x^2
25 = x^2
sqrt{25} = sqrt{x^2}
5 = x
The width is 5 feet.
The length is 5 times 5 feet or 25 feet.
To find the perimeter, we use P = 2L + 2W.
P = 2(25) + 2(5)
P = 50 + 10
P = 60 feet.
Done!

what is 5 1/2-1 2/7 in the simplest form

Answers

Answer:

31/14

Step-by-step explanation:

5 1/2 - 1 2/7

By multiplying

5/2 - 2/7

By Elysium

(35-4)/14

31/14

Answer:

[tex]4\frac{3}{14}[/tex]

Step-by-step explanation:

[tex]5\frac{1}{2}-1\frac{2}{7}=\frac{11}{2}-\frac{9}{7}=\frac{77-18}{14}=\frac{59}{14}=4\frac{3}{14}[/tex]

One number is 5 more than the other. Their sum is 33. Find the numbers.

Answers

Final answer:

The two numbers are 14 and 19, where one number is 5 more than the other and their sum is 33.

Explanation:

To find the two numbers where one number is 5 more than the other and their sum is 33, we can set up a system of equations. Let's call the first number x, which means the second number would be x + 5 since it's 5 more than the first. Their sum is given as 33, so we can create the following equation:

x + (x + 5) = 33

Now we simplify the equation:

2x + 5 = 33

To solve for x, we subtract 5 from both sides:

2x = 33 - 5

2x = 28

Finally, we divide both sides by 2 to find the value of x:

x = 28 / 2

x = 14

Now that we have the first number, we can easily find the second number by adding 5:

The second number is x + 5 = 14 + 5 = 19.

The two numbers are 14 and 19.

Mrs. Morales wrote a test with 19 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.

Part 1 out of 4
Write an equation in slope-intercept form to represent the number of questions on the test.

The equation is .



Answers

Answer:

# of questions : y = -x + 19

Step-by-step explanation:

if ur only wanting the equation for the number of questions on the test, then it would be :  x + y = 19......y = -x + 19 in slope intercept form.

and if u were wanting the number of points, then it would be :

5x + 10y = 100.....10y = -5x + 100.....y = -1/2x + 10. in slope intercept form

Final answer:

To express the number of questions on Mrs. Morales' test in slope-intercept form, first write the total point equation 5x + 10y = 100, then simplify and solve for y to get the slope-intercept form y = -0.5x + 10.

Explanation:

To write an equation representing the number of questions on Mrs. Morales' test, we must consider the total points possible and the value of each question type. The spelling questions (x) are 5 points each, and the vocabulary questions (y) are 10 points each. The total points for the test are 100, which leads us to the equation 5x + 10y = 100.

However, to put this into slope-intercept form, we solve for y. Dividing the entire equation by 10 gives us 0.5x + y = 10. Then, isolating y yields y = -0.5x + 10, which is now in slope-intercept form where the slope (m) is -0.5 and the y-intercept (b) is 10.

The slope-intercept form provides a way to see how many vocabulary questions (y) can be on the test for a given number of spelling questions (x).

The parking lot at the theater has 9 rows.There are 40 parking spots in each row. How many cars can park in the parking lot ?

Answers

Answer: 360 cars can park in the parking lot.

40 parking spots x 9 rows = 360 cars

PLZ HELP WILL GIVE 10 PTS + BRAINLIEST THX SO SO SO SO SO SO MUCH!!!!
If (6^2)^p = 6^10, what is the value of p?
a. 2
b. 3
c. 4
d. 5
ty! :D

Answers

Answer:

d. 5

Step-by-step explanation:

Solve for n: -4 (3n+3) = 5 (-2-6n) -2

Answers

Answer:

Step-by-step explanation:

-12n - 12 = -10 - 30n - 2

-12n - 12 = -12 - 30n

-12n = -30n

-12n +30n = 0

18n = 0

n = 0

Answer:

-12n- 20 = -10 - 30n - 2

-12n - 20 = -12 - 30n

18n - 20 = -12

18n = 18

n = 1

What is x raised to the 1/2 power multiplied by x raised to the 1/5

Answers

Answer:

[tex]x^{3/5}[/tex]

Step-by-step explanation:

[tex]x^{1/2}*x^{1/5}\\[/tex]

Remember, when multipling common variables by an exponent, add the exponents

[tex]x^{\frac{1}{2} + \frac{1}{5}}\\x^{6/10} = x^{3/5}[/tex]

Add the linear expressions. 2x + 1 and x + 2

Answers

Answer:

3(x + 1)

Step-by-step explanation:

By adding

(2x + 1) + (x+2)

2x +1 +x +2

3x + 3  or  3(x + 1)

2x + 1 + x+2
2x +x +1+2
3x +3

What is the value of y 79° And 37

Answers

The value of y is 64°

Solution:

The image of the question is attached below.

Given two angles of a triangle.

One angle is 79°.

Other angle is 37°.

Let the unknown angle be y.

Triangle sum property:

Sum of all the angles of a triangle = 180°

⇒ y + 79° + 37° = 180°

⇒ y + 116° = 180°

⇒ y = 180° – 116°

y = 64°

Hence the value of y is 64°.

How do you write y= 1/2 x+2 in standard form?

Answers

Answer:

The equation is already in the standard form.

y

=

1

2

y

=

x

+

2

Step-by-step explanation:

After school, Camille had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 40 minutes. If Camille got out of school at 2:00 P.M., what time did the choir rehearsal end?

Answers

It would be 3:40 since 1 hour and the 40 minutes add up and the choir is after the meeting

Answer:3:40 pm

Step-by-step explanation:

if 50% of 2:3 solution of milk and water is replaced with water, then the concentration of the solution is reduced by?

Answers

Answer:

Step-by-step explanation:

Let the quantity of milk and water be 40 and 60 respectively.

After removing 50% of solution,

Quantity of milk = 20 and quantity of water = 30

Therefore, the concentration of the solution is reduced from 40 to 20. Hence the solution is reduced by 50%.

-4h - 3 < 9


h < 12

h > -3

h < -3

h > -12

Answers

The solution of the inequality is h > -32nd answer

Step-by-step explanation:

Let us revise very important notes about solving inequalities

You can add and subtract both sides of inequality by a number without change the sign of inequalityYou can multiply or divide both sides of inequality by a positive number without change the sign of inequalityYou can multiply or divide both sides of inequality by a negative number with change the sign of inequality (-2x < 4 ⇒ ÷ (-2) makes it x > -2)

∵ -4 h - 3 < 9

- Start with adding both sides by 3 to separate the variable

   in one side and the numerical term in the other side of the

   inequality sign

∴ -4 h - 3 + 3 < 9 + 3

∴ -4 h < 12

- Now divide both sides by -4 and use the last note above

∵ -4 ÷ -4 = 1

∵ 12 ÷ -4 = -3

∵ < must change to > (because we divide both sides by (-) number

∴ h > -3

The solution of the inequality is h > -3

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Answer:

h> -3

Step-by-step explanation:

Help pls will mark brainlist !! :)

Answers

Answer:

144 cubic inches

Step-by-step explanation:

a=lxwxh a=6*6*4

Yo sup??

we should know that the volume of a cuboid is l*b*h

from the given figure we can say that

l=6 inches

b=6 inches

h=4 inches

therefore

V=6*6*4

=144 inches^3

therefore the correct answer is option C

Hope this helps.

Other Questions
Sarah works at a U.S.-based company that gets most of its sales from Europe, more than half of the companys managers are non-American, and its employees work in five different countries. Based on this information, Sarah works at a(n):______ i need help with both of them i will give you 25 pointsplz help Which responsibility belongs to the marketing function Janice, a co-founder of a startup firm that provides financial services, is responsible for making the standard operating procedure for the firm's wealth management division and assigning duties to the management trainees recruited for this division. In the context of management functions, Janice's job responsibilities best illustrate _____. Group of answer choices A. organizing B. ambitious C. none of these Direct Materials Used, Cost of Goods Manufactured In September, Lauren Ashley Company purchased materials costing $200,000 and incurred direct labor cost of $120,000. Overhead totaled $325,000 for the month. 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The Auto Scaling group sits behind an Elastic Load Balancer, and your static content lives in S3 and is distributed globally by CloudFront. Your RDS database is already the largest instance size available. CloudWatch metrics show that your RDS instance usually has around 2GB of memory free, and an average CPU utilization of 75%. Currently, it is taking your users in Japan and Australia approximately 3 - 5 seconds to load your website, and you have been asked to help reduce these load-times. How might you improve your page load times? typically most high school students who are 16 or older work an average of __hours per week You are a doctor in a hospital, and a patient is experiencing trouble with her skin repairing itself from a cut. The patient is also expecting a child, but the cells in the reproduction development are experiencing malfunction in cell division. Describe the stages of each type of cell reproduction process from a normal patient whose body cells can repair themselves and normal cell division during the reproductive development of the unborn baby. Explain the disadvantages and advantages of each type of cell division. Discuss how the patient experiencing problems with the cells repairing from the cut and the child's reproduction development malfunctions can alter haploid and diploid cell development. When solving graphically ,which system of equations will have exactly one point of intersection 2.29 LAB: Using math functions Given three floating-point numbers x, y, and z, output x to the power of z, x to the power of (y to the power of 2), the absolute value of y, and the square root of (xy to the power of z). Output each floating-point value with two digits after the decimal point, which can be achieved as follows: printf("%0.2of", your Value); Ex: If the input is: 5.0 6.5 3.2 the output is: 172.47 340002948455826440449068892160.00 6.50 262.43 A box measures 4 inches by 2 inches by 3 inches. Find the volume of the boxin cubic feet. Enter your answer as a fraction. Use the '/' as the fraction bar.Do not include units in your answer. Fever in infants and young children is not an uncommon event. Many trips to the pediatricians office occur because of fever in children ages 1 day to 3 years. Which sign or symptom does not indicate fever in an infant? The circumference of a circle is 5picm.What is the area of the circle?A.) 6.25 pi cm2B.) 2.5 pi cm2C.) 25 pi cm2D.) 10 pi cm2 Which of the following sites would have the most dangerous volcanoes? A is on an island arc, B is in the Andes, C is near Hawaii, D is along a mid-ocean ridge. If an arrow is shot upward on Mars with a speed of 54 m/s, its height in meters t seconds later is given by y = 54t 1.86t2. (Round your answers to two decimal places.)(a) Find the average speed over the given time intervals.(i) [1, 2] m/s(ii) [1, 1.5] m/s(iii) [1, 1.1] m/s(iv) [1, 1.01] m/s(v) [1, 1.001] m/s(b) Estimate the speed when t = 1. m/s While performing a recrystallization, a chemist notices that a small amount of the sample will not dissolve, even after the recrystallization solution has been boiling for some time. Select the correct course of action. A. Perform a gravity filtration with a stemless funnel. B. Perform a gravity filtration with a long-stemmed funnel. C. Isolate the insoluble material via filtration, grind it into a powder, and add it back to the recrystallization solution D. Cool the recrystallization solution to room temperature and then heat it again to dissolve the insoluble material. Which expression is equivalent to (XY^6)^2 XY^36 x^2y^12 x ^2y^12 xy^36 Given that ph refers to a float, write a statement that compares ph to 7.0 and makes the following assignments (RESPECTIVELY!) to the variables neutral, base, and acid:0,0,1 if ph is less than 70,1,0 if ph is greater than 71,0,0 if ph is equal to 7 You throw a glob of putty straight up toward the ceiling, which is 3.60 m above the point where the putty leaves your hand. The initial speed of the putty as it leaves your hand is 9.50 m/s. (a) What is the speed of the putty just before it strikes the ceiling? (b) How much time from when it leaves your hand does it take the putty to reach the ceiling?