How do I find the values of x, y, and z?

How Do I Find The Values Of X, Y, And Z?

Answers

Answer 1

Okay, here we have this:

Considering the provided figure, we are going to find the missing sides, so we obtain the following:

Then according to the altitude rule we obtain the following equality:

(1/3)/x = x/(1/6)

Let's solve for x:

x^2=(1/3)(1/6)

x^2=1/18

x=√(1/18)

x=1/√18

x=1/(3√2)

x=√2/6

Now let's find the other two missing sides using the Pythagorean theorem:

\(\begin{gathered} z=\sqrt{\left(\frac{1}{3}\right)^2+\left(\frac{\sqrt{2}}{6}\right)^2}^ \\ z=\sqrt{\lparen1/9)+\left(2/36\right)} \\ z=\sqrt{\left(1/9\right)+\left(1/18\right)} \\ z=\sqrt{\left(2/18\right)+\left(1/18\right)} \\ z=\sqrt{3/18} \\ z=\sqrt{1/6} \\ z=1/\sqrt{6} \end{gathered}\)

Finally let's find y:

\(\begin{gathered} y=\sqrt{\left(1/6\right)^2+\left(\sqrt{2}/6\right)^2} \\ y=\sqrt{\left(1/36\right)+\left(2/36\right)} \\ y=\sqrt{3/36} \\ y=\sqrt{1/12} \\ y=1/\sqrt{12} \\ y=1/\left(2\sqrt{3}\right) \end{gathered}\)


Related Questions

Give the boundaries of 2.2 feet

Give the boundaries of 2.2 feet

Answers

The boundaries of 2.2 feet are 2.15 feet and 2.24 feet

How to determine the boundaries?

The length is given as:

Length = 2.2 feet

The boundaries are the smallest and the largest numbers or lengths that can be approximated to 2.2 feet

The two numbers in this case are 2.15 feet and 2.24 feet

Hence, the boundaries of 2.2 feet are 2.15 feet and 2.24 feet

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N
m
4
5
4
U
-
3-
Cu v
-5-4-3-2-1
2
-2
1 w
60
r
2345x
What is the domain of the function on the graph?
O all real numbers
O all real numbers greater than or equal to-2
O all real numbers greater than or equal to-5
O all real numbers greater than or equal to 0
Help please

Nm454U-3-Cu v-5-4-3-2-12-21 w60r2345xWhat is the domain of the function on the graph?O all real numbersO

Answers

Answer:

Step-by-step explanation:

Question

N

m

4

5

4

U

-

3-

Cu v

-5-4-3-2-1

2

-2

1 w

60

r

2345x

What is the domain of the function on the graph?

O all real numbers

O all real numbers greater than or equal to-2

O all real numbers greater than or equal to-5

O all real numbers greater than or equal to 0

Help please

help me plzzzzzz before 10:00 AM​

help me plzzzzzz before 10:00 AM

Answers

Answer:

19) x=4

20) x=7

21) x=15.5

22) x= -7

23) x=9

24) x=5

25) x=-6 (Im pretty sure)

26)x=4

27)x=10

28) x=-9

Step-by-step explanation:

each function
f(x)=-4x-5;
ion for
Find ƒ(1)
for the given

Answers

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
7D
AK
126
x
B

Angles are not drawn to scale.
Enter

Answers

x=102°Answer:

x+78=180 supplementary angle

x=180-78=102

I put some counters into groups with the same number in each group. I can’t remember what I did, but I do remember that I had 12 counters. What might the groups have been?

Answers

Answer:

6 groups of 2, 4 groups of 3, 3 groups of 4, 2 groups of 6, and 1 group of 12 or 12 groups of 1.

Step-by-step explanation:

This question requires you to factor 12. This is because you need to find the numbers that multiply to 12, or its factors. After factoring, you get 1, 2, 3, 4, 6, and 12. When you use these numbers as the amount of groups, you can divide 12 by them to get the size of the groups.

A license plate consists of 3 letters followed by 3 digits. Determine the total number of possible license plates if the following conditions apply with restrictions

Answers

The total number of possible license plates will be 17,576,000.

What are the Combinations?

Combinations are the procedures used in mathematics to pick k things from n different items without replacement.

The following formula computes the combinations of k items from n:

(n, k) = n! / k!×(n-k)!

There are 26 letters in the English alphabet and 10 digits,

So there are (26 x 26 x 26 )26³ possible letter combinations and 10³ (10 x 10 x 10) possible digit combinations.

The total number of possible license plates is the product of these two:

26³ x 10³ = 17,576,000

Thus, the total number of possible license plates will be 17,576,000.

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Write a ratio for the following description: Kaleel made three times as many baskets as John during basketball practice. Type your answer in the format: 3:4 with no spaces.

Answers

Answer:

3:1

Step-by-step explanation:

hey there,

< We know Kaleel made 3x as many baskets as John.

We're going to make our ratio Kaleel:John.

The answer would be 3:1 because every time John makes 1 basket, Kaleel makes 3 baskets. If John made 2, then Kaleel would make 6, etc...

Sorry, I can't explain this very well! >

Hope this helped. Feel free to ask anything else.

List all the 4-tuples in the relation {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}

Answers

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

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Which of the following tables represents a proportional relationship?

Which of the following tables represents a proportional relationship?

Answers

Answer: Choice D

Step-by-step explanation:

When we think of proportional relationships, we can think of ratios. The x and y value will be multiplied by the same ratio throughout the table to create equivalent points. The easiest way to do this is to turn the points into fractions and see if they all simplify to the first point, which in this case is 2/3.

4/6 / 2/2 = 2/3

6/9 / 3/3 = 2/3

8/12 / 4/4 = 2/3

2 is being added to the x value each time and 3 is being added to the y value each time. hope this helps!

Write an exponential function in the form y=ab^x that goes through points (0,4) and (2,324)

Answers

Answer:

y = 4 (9)x

Hope it helps

Please mark me as the brainliest

Thank you

Match each multiplication expression on the left with the best estimate of its product on the right. (80)(30) = 2,400 29.3 x 5.9 81.4 x 32.1 32.9 x 4.81 46.7 x 31.7 59.3 x 3.57 (30)(6) = 180 (30)(5) = 150 (60)(4) = 240 (50)(30) = 1,500 Done​

Answers

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Solve each equation by completing the square.
d² - 24d + c

Answers

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Can someone please explain what this is?! None of my parents understand it and neither do I!

Can someone please explain what this is?! None of my parents understand it and neither do I!

Answers

Answer:

given below

Step-by-step explanation:

the column if multiplied shall give 12 as product. two sides are given.

multiply the given ones and divide it by 12.

Can someone please explain what this is?! None of my parents understand it and neither do I!

TravelEz buys dollars at a rate of (1.8 dollars)/(1 eu ). Joseph is going on vacation and wants 400 eurosHow many dollars must he give to get 400 euros?

720 dollars

222 dollars

622 dollars

400 dollars

Answers

Answer:

a b c d e f g h I j k l m n o p t u v w x y z

Step-by-step explanation:

He must give 720 dollars to get 400 euros

Find the value of x assume the triangles are the same

Find the value of x assume the triangles are the same

Answers

\(x=44\)

1) In this problem, we need to find the constant of proportionality assuming these triangles are similar. So let's divide each corresponding leg:

\(\frac{22}{18}=\frac{33}{27}\Rightarrow\:k=\frac{11}{9}\)

2) So, based on that constant of proportionality (k) we can find the missing leg.

\(\begin{gathered} x\div\frac{11}{9}=36 \\ \\ x\cdot\frac{9}{11}=36 \\ \\ 11\times\frac{9}{11}x=36\times11 \\ \\ 9x=396 \\ \\ \frac{9x}{9}=\frac{396}{9} \\ \\ x=44 \end{gathered}\)

Note that since the triangle on the top is larger than the one on the bottom, we can tell that x must be larger than 36.

II. Reacting Metals with Solutions of Metallle Salts
appearance of 0.5 M Al2(SO4)3 :

metal description of reaction mixture 5 min did reaction occur?
after mixing with 0.5 M Al2(SO4)3
Fe

Cu

II. Reacting Metals with Solutions of Metallle Saltsappearance of 0.5 M Al2(SO4)3 :metal description

Answers

From the position of the metals on the electrochemical series, there would be no reaction of the solution with iron and copper.

What is the reactivity?

We know that a reaction is said to have occurred between a metal and a solution if the metal is able to displace the cation that is in the solution. This displacement would in turn have a lot to do with the position of the metals in the electrochemical series.

Given that iron and copper are all less than aluminum which is the cation in the solution in the electrochemical series then it would not be possible for these metals to displace it in solution thus there would be no reaction.

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Find the ratio created when AB is partitioned by C.

Write your ratio with a, : and do not include spaces.

Find the ratio created when AB is partitioned by C.Write your ratio with a, : and do not include spaces.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

Segment AB has been divided into four equal parts.

Let each part measures equal length = 1 unit

Point C is 2 units apart from both the points A and B.

Length of AC = Length of BC = 2 units

Therefore, point C will be the mid point of segment AB.

And ratio of AC and BC = 1:1

AC:BC = 1:1

Similarly, AC:AB = 2:4

                           = 1:2

And BC:AB = 2:4

                   = 1:2

35 kilometers per hour to meters perminute

Answers

Given:

35 km/h

To convert into m/h:

Using the conversion formula,

\(\begin{gathered} 1km\text{ per hour =}\frac{1000}{60}\text{meter per minute} \\ \end{gathered}\)

So, for 35 km/h is,

\(35\times\frac{1000}{60}=583.3\text{ meters per minute}\)

Thus, the answer is 585.3 meters per minute.

FIND THE ERROR Josephina and Dario are estimating √50 .
Who is correct? Explain your reasoning.

FIND THE ERROR Josephina and Dario are estimating 50 . Who is correct? Explain your reasoning.

Answers

The ERROR Josephina and Dario estimated √50 are such as 0.07 and -17.92.

How to calculate the error?

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

WE need to find the error Josephina and Dario are estimating √50

The actual value of \(\sqrt{ 50 } = 7.0710\)

So,

By Josephina

Error = Actual value - Estimated value

Error = 7.07 - 7

Error = 0.07

By Dario

Error = Actual value - Estimated value

Error = 7.07 - 25

Error = -17.92


Hence, the ERROR Josephina and Dario estimated √50 are such as 0.07 and -17.92.

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What graph represents the piecewise-defined function ? y={6 if x <-3, 3 if -32

Answers

The graph of the piecewise-defined function will consist of two horizontal line segments.

The piecewise-defined function can be represented using a graph with two separate segments.

First, let's consider the segment where the value of y is 6 when x is less than -3. This means that for any x-value less than -3, the corresponding y-value is 6. This segment will be a horizontal line parallel to the x-axis, located at the y-coordinate of 6.

Next, let's consider the segment where the value of y is 3 when x is greater than or equal to -3 and less than or equal to 2. This means that for any x-value between -3 and 2 (inclusive), the corresponding y-value is 3. This segment will also be a horizontal line parallel to the x-axis, located at the y-coordinate of 3.

To summarize:

For x < -3, y = 6.

For -3 ≤ x ≤ 2, y = 3.

Therefore, Two horizontal line segments make up the graph of the piecewise-defined function. One segment will be located at y = 6, and the other segment will be located at y = 3. The vertical range of the graph will extend to include both y-values (6 and 3), while the horizontal range will depend on the given x-values and the interval specified.

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What graph represents the piecewise-defined function ? y={6 if x &lt;-3, 3 if -32
What graph represents the piecewise-defined function ? y={6 if x &lt;-3, 3 if -32

-1/4 plus 3/5
Answer or else

Answers

The algebric expression -1/4 + 3/5 is equal to 7/20 when simplified.

To solve the expression -1/4 + 3/5, we need to find a common denominator for the fractions and then perform the addition.

The common denominator for 4 and 5 is 20. We can rewrite the fractions with this denominator:

-1/4 = -5/20

3/5 = 12/20

Now that the fractions have the same denominator, we can add them:

-5/20 + 12/20 = (-5 + 12)/20 = 7/20

Therefore, -1/4 + 3/5 is equal to 7/20.

To further simplify the fraction, we can check if there is a common factor between the numerator and denominator. In this case, 7 and 20 have no common factors other than 1, so the fraction is already in its simplest form.

Thus, the final answer is 7/20.

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Write A Hypothesis
Problem: In a recent poll, the CW estimated that about 25% of viewers watch Legends of Tomorrow weekly. February 25, 2016 is the crossover with the 2046 version of Arrow. The CW conducts a new random survey of 350 viewers and finds that 102 now plan to watch that episode. Does this provide strong evidence that having Arrow on Legends of Tomorrow increased viewership?

Answers

Answer: H0:p= 0.25, the proportion of viewers that watch Legends of Tomorrow weekly.Alternative Hypothesis:Ha:p > 0.25, the proportion of viewers that watch Legends of Tomorrow is greater than 25%.

Answer:

probably arrow is the best show on the cw leaving the legends tomorrow as the worst in the arrowverse

Step-by-step explanation:

Find the exterior of a rectangle in a polygon

Answers

The measure of each exterior angles of rectangle is 90°

Finding the exterior of a rectangle in a polygon

From the question, we have the following parameters that can be used in our computation:

A rectangle

A rectangle is a polygon with 4 sides

So, the measure of the exterior angle can be calculated using the formula for the exterior angles in a polygon

The exterior angles in a polygon are found by using:

Exterior of a rectangle in a polygon =  360°/Number of sides of the polygon

In this case,

The number of sides of the rectangle = 4

So, we have

Exterior of a rectangle =  360°/4

Evaluate

Exterior of a rectangle =  90°

Hence, the value of the measure of each exterior angles of rectangle is 90°

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Complete question

Find the measure of each exterior angles of rectangle?

Step by step​


Solve 12x
x + 16 - 1 = 0

Answers

Answer:

xx=-0.8

Step-by-step explanation:

not sure if this is right because the 12xx is kind of strange

12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8

How many ounces are in 10 pints

Answers

Answer: 160 ounces

Step-by-step explanation:

1 pint=16 ounces

10 pints * 16 ounces/1 pint=

10*16/1=

10*16=160 ounces

Answer:

192.152

Step-by-step explanation:

there in us ounces

Sofia has a bag containing 8 blue beads and 7 red beads only.
She takes one bead out of the bag at random and replaces it.
She does this 90 times.
Find the number of times she expects to take a red bead.

Answers

Answer:

The answer is 42 times.

Step-by-step explanation:

The probability of taking out the red bead from the bag every time is

P = 7 ÷ (7 + 8) = 7/15

So, The number of times she expects to take a red bead is 'n'

Therefore,

n = 90 × 7/15

n = 6 × 7 = 42

Thus, The number of times she expects to take a red bead is 42.

during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth

during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what

Answers

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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Work for least common denominator for 3/4 and 1/6

Answers

Answer:

3/4 and 1/6 are already reduced the farthest they can go.

Oliver did the high jump three times. His scores were 7.016 feet, 5.42 feet, and 8.308 feet. How many feet did he jump in total? pleas help im in test

Answers

The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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