Solve for the values of x and y

Solve For The Values Of X And Y

Answers

Answer 1

                       SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side x=26 units

Step-by-step explanation:

The Pythagorean theorem states

[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]24^2\:+\:10^2\:=\:x^2[/tex]

switch both sides

[tex]x^2=24^2+10^2[/tex]

[tex]x^2=576+100[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]

[tex]x=26,\:x=-26[/tex]

As x can not be negative.

Therefore, the value of the missing length of the side x=26 units

                          SOLVING LEFT-SIDED RIGHT TRIANGLE

Answer:

The value of the missing length of the side y=15 units

Step-by-step explanation:

Considering the right-sided right triangle

The Pythagorean theorem states

[tex]a^2\:+\:b^2\:=\:c2[/tex]

We will use the Pythagorean Theorem to solve for the missing side length.

[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]

[tex]225+y^2=450[/tex]    ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]

[tex]y^2=225[/tex]

[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]

[tex]y=15,\:y=-15[/tex]

As y can not be negative.

Therefore, the value of the missing length of the side y=15 units


Related Questions

Which equations has a solution of X=1.5

Answers

He hits a little on a number where it will start with a

Solve this system for m and b 342=23m+b 147=10m+b

Answers

Answer:

b = − 3

m = 5 ( 39 + 2 m ) /23

1. m= 342-b/23
2.m= 147-b/10

What is the length of the line segment with endpoints (11, −4) and (−12, −4) ?

Answers

Answer:

23 units on the x axis

Step-by-step explanation:

anyone know thisssss​

Answers

See the attachment.....

The sum of two numbers is -50. Their difference is - 10. Find the numbers.
The smaller number is:
The larger number is:​

Answers

Answer:

Larger is -30

Smaller is -20

Step-by-step explanation:

-50/2 = -25

difference is -10

add 5 to one number minus 5 from the other

so

-25 - 5 = -30

-25 + 5 = -20

Hope this helps :)

Answer:

be careful how you answer this

the larger number (y) = - 20

the smaller number (x) = - 30  

Think money. Which would you rather be: 20 dollars in the hole or 30 dollars.

Step-by-step explanation:

x + y = -50

x - y =  -10                             Add

2x = - 60                               Divide both sides by 2    

2x/2 = -60/2                         Do the division

x = - 30

=============

-30 - y = - 10                         Substitute - 30 for x in the second equation

-30+30- y = -10 + 30            Add 30 to both sides

-y = +20                                Divide by -1 on both sides

y = - 20

Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP

ps. Giving 30 points if answer is given

Answers

Answer:

I believe the bottom one is true and the rest are false

Step-by-step explanation:

bottom one true

Answer:

it is the last one. it is a smaller distance from Drachten

Step-by-step explanation:

Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?

Answers

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[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]

Thus ;

[tex]2 \times \frac{5}{12} \: \: miles = \frac{10}{12} \: \: miles = \frac{5}{6} \: \: miles \\ [/tex]

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I think the answer is 5/6

The difference between the sample value and the true value in the population under study is referred to as _______.

Answers

Answer:

a. sampling error

Step-by-step explanation:

These are options for the question below;

a. sampling error

b. random error

c. measurement error

d. chance correlation

e. none of these

Sampling error can be regarded as statistical error, this do occur when the person analysing the data just select portion out of the data, which doesn't fully cover for the whole population of the data, and after the analysis the gotten result doesn't resemble the kind of result that could have gotten if the whole population of Data is used. It occurs where there is more difference exist between population parameter and a sample statistic.

Mathematically sampling error can be calculated using below formula

Sampling error= Z √[p(1-p)/n] [1-√(N/n)

Where

N= population size

n=sample size

Z= score for the selected confidence level

P= proportion of people surveyed

It should be noted that The difference between the sample value and the true value in the population under study is referred to as sampling error

what fraction is equal to 4.5

Answers

Answer:

9/2

Step-by-step explanation:

in order to find the fraction form of 4.5... we need to set a denominator. The denominator has to be greater than 1 because we 4.5 is not a whole number...

we want the simplest denominator in the end... so we'll pick 2 for a denominator and change it if it doesn't work in the end...

now that we know the denominator... we have to make the numerator 4 times larger than the denominator (2)... when we do this... we get 8/2

since we made the numerator 4 times larger than the denominator... we know that 8/2 is the same as 4

now we need to find the remaining 1/2

this can be done by simply adding 1/2 to 8/2 (which is easily done thanks to a common denominator)

Since 9/2 cannot be simplified any further... it is our final answer

the product of the sum and the difference of 8x and 4y

Answers

Answer:

4

Step-by-step explanation:

o dont really know. I dont understand the question

You can’t solve this because you can’t add or subtract different variables. However you can multiply different variables and it’ll give you 32xy

The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?

Answers

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Please help due in 5 min

Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?

A. 24%
B. 30%
C. 44%
D. 60%

PLEASE show work

Answers

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation:

Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )  

~~~~~~~~~~~

(- 8, 5)

(4, 1)

m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]

Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3

Coordinates of midpoint are ( - 2 , 3 )

y - 3 = 3 ( x + 2 )

y = 3x + 9  

What is the slops of this line? Enter your answer as a fraction in simplest term in the box.

Answers

The slope is 1/4 cause it goes up 1 and right 4 meaning slope=1/4

Answer:

It is 1/4

Step-by-step explanation:

If you go from dot to dot on the line, starting with the first dot:

you go to the right 4 times and then up 1 to get to the next dot.

If you put that into a fraction it is [tex]\frac{rise}{run}[/tex] so going up (1) is ontop of going to the right (4), which is 1/4.

On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?

Answers

Mixed fraction:

3 2/5 = 17/5

4 4/5 = 24/5

Miles she ran:

17/5 + 24/5

= 41/5 miles or 8.2 miles

please help i will give brainlyest

Answers

Answer:

1 (6/6)

Step-by-step explanation:

because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)

Answer:

6/6 which would be simplified as 1

Step-by-step explanation:

First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6

Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one

Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.

Answers

Answer:

Step-by-step explanation:

First you have to do 2 + 2=

List the transformations of the function.
*
g(x) = -(x+5)-4

Answers

Answer:

Transformations of g(x) = -(x+5)-4:

reflects across x-axistranslates left translates down

At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?

Answers

Answer:

400 total

Step-by-step explanation:

so 100 is 25% of 100% and 25%x4=100%

so do 100x4=400=100% of the middle schoolers

what is the constant of porportionality between 9 and 4.5​

Answers

Answer:

1/2

Step-by-step explanation:

IQ test scores are standardized to produce a normal distribution with a mean of = 100 and a standard deviation of = 15. Find the proportion of the population for the following IQ score. For your answer, convert each proportion into a percentage whose value is computed to 2 decimal places. Sketch a distribution to help you visualize the problem. IQ score greater than 135

Answers

Answer:

0.01

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score = 135

μ is the population mean = 100

σ is the population standard deviation = 15

z = 135 - 100/15

z = 2.33333

P-value from Z-Table:

P(x<135) = 0.99018

P(x>135) = 1 - P(x<135)

P(x > 135) = 1 - 0.99018

= 0.0098153

Approximately to 2 decimal places

= 0.01

Therefore, the proportion of the population for the following IQ score of 135 is 0.01

please answer asap it’s due in 1 min

Answers

They are corresponding angles. The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines:)

on the first day of camp, Sara hiked 20 miles in 5 hours. At this rate how long would it take Sara to hike 12 miles?

Answers

Answer:

3 hours

Step-by-step explanation:

20 ÷ 5 = 4 mph

12 ÷ 4 = 3 hours

hope this explanation makes sense! :)

Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

On the first day of camp, Sara hiked 20 miles in 5 hours.

The rate = 20/5 = 4 miles per hour

Let x be the time taken by Sara to hike 12 miles

As its rate of speed of Sara is 4 miles per hour

x = 12/4

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.

x = 3 hours

Thus, Sara took 3 hours to hike 12 miles if, on the first day of camp, Sara hiked 20 miles in 5 hours and the rate is 4 miles per hour.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

find the missing side lengths. leave ur answers as radicals

Answers

Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9

What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
? 0.50 50%
Answer here
SUBMIT

Answers

Answer: 1/2

Step-by-step explanation:

Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?

Answers

Answer:

$5 More

Step-by-step explanation:

$26 - $19 = $5

Answer:

She paid $7 more

Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.

What is the remainder?

–10

–7

7

10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.

Answers

Answer:

The remainder is...

7

Hope this helps!!

Step-by-step explanation:

Answer: it’s c

Step-by-step explanation:

PLEASE HELP. use the information provided to write the equation of each circle . i will give brainliest!

Answers

Answer: 16. C  17. A  18. A  

19  You got this! There is only one answer with the correct radius squared!

Step-by-step explanation:

For the coordinates of the center, flip the signs in the parentheses.

For the "=output": in the equation, square the given radius.

Center: (-14.4) the signs in (x + 14)²+(y - 4)² are the opposites.

Radius given: 2  Square it to get the =4

Volume of 120 grams divided by 480cm3

Answers

Answer:

= 0.25 g/cm3

Step-by-step explanation:

this is called density the grams per volume.

density = mass

               volume

             =   120g

                480cm3

  = 0.25 g/cm3

About 1/5 of all adults in the United States have type O blood. If four randomly selected adults donate blood, find the probability of each of the following events.

a. All four are type O.
b. None of them is type O.
c. Two out of the four are type O .

Answers

Answer:

We know that:

1/5 = 0.2 of all adults in US have type O blood.

Then: 4/5 = 0.8 of all adults in US do not have type O blood.

a)  All four are type O.

Let's think this, as four events with two possible outcomes, having type O blood, with a probability of 0.2, and not having type O blood with a probability of 0.8

Now if we want the four people to have type O blood, then we have the outcome with probability 0.2 four times, and as we know, the joint probability is equal to the product of the individual probabilities:

P  =0.2^4 = 0.0016

b) None of them is type O.

Similar to the above case, but this time we work with four times the probability 0.8

P = 0.8^4 = 04096

c) Two of the four are type O.

Here we will have two times the probability 0.2, and two times the probability 0.8.

p = 0.2^2*0.8^2

But, if the people is ordered, the two persons with type O blood can be:

first and second

first and third

first and fourth.

second and third

second and fourth

third and fourth.

6 different combinations, then the actual probability for this case will be:

P = 6*p = 6*(0.2^2*0.8^2) = 0.1536

The probability of All four are type O, None of them is type O, and Two out of the four are type O is 0.0016, 0.4096, and 0.0256 respectively.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

About 1/5 of all adults in the United States have type O blood.

p = 0.2

q = 1 - p = 1 - 0.2 = 0.8

a. All four are type O. The probability will be

P = p⁴  

P = 0.2⁴

P = 0.0016

b. None of them is type O. The probability will be

P = q⁴  

P = 0.8⁴

P = 0.4096

c. Two out of the four are type O. The probability will be

P = p² × q²  

P = 0.2² × 0.8²

P = 0.04 × 0.64

P = 0.0256

More about the probability link is given below.

https://brainly.com/question/795909

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