In a right triangle, the measures of the legs are 8 and x + 6,
and the measure of the hypotenuse is x + 8. Find the value of x.

Answers

Answer 1

See the attached image for the steps.

x = 9.

Identities used :-

(a + b)² = a² + 2ab + b²

Theory used :-

Pythagorean theorem (Hypotenuse² = Base² + Altitude²).

______

RainbowSalt2222 ☔

In A Right Triangle, The Measures Of The Legs Are 8 And X + 6,and The Measure Of The Hypotenuse Is X

Related Questions

Can I get help please....
Sara bought 3/4 of a pound of bananas and 3/5 of a pound of pears. How much fruit did Sara buy?

Answers

Answer:

2 fruits

Step-by-step explanation:

That's because bananas and pears are two different fruits

Answer:

1  7/20 pounds

Step-by-step explanation:

3/4 + 3/5

Use common denominator of 20

15/20 + 12/20

Add numerators

27/20

Reduce

1  7/20 pounds

help me please 5 points​

Answers

Answer:

-12

Step-by-step explanation:

Solve the equation: q –10 = -10

Answers

Answer:

No solution

Step-by-step explanation:

The co-efficient, in this case the - 10s, cancel each other out, leaving just q

The temperature in antartica is 20 degrees below freezing at night. During the day, the temperature increases
by 30 degrees. What is the daytime temperature?

Answers

Answer:

42

Step-by-step explanation:

The length of a rectangular garden is 7 feet longer than its width. The garden's perimeter is 178 feet. Find the length of the garden.

Answers

Answer: 48

Step-by-step explanation:

l = w + 7

2w + 2l = 178

2w + 2(w + 7) = 178

2w + 2w + 14 = 178

4w = 164

w = 41

l = w + 7

l = 41 + 7

l = 48

L = 46.25
Check
2L + 2W = 178
2(46.25) + 2W = 178
92.5 + 2W = 178
-92.5. -92.5
2W = 85.5
Divide by 2 on both sides
W = 42.75

2(46.25) + 2(42.75) = 178
92.5 + 85.5 = 178
178 = 178 ✅

i bought a new comic book at the comic book shoppe and paid enitrely using quarters. If I had paid using only dimes i would have needed to pay 9 more coins. how much did the comic book cost

Answers

The comic book cost $1.50.

A quarter is worth .25 cents while a dime is worth .10 cents. This means 9 more coins would be .90 cents since each coin is worth .10 cents.

The difference between $1.50 and .60 cents is .90 cents.

25 x 6 = 150  while  10 x 6 = 60  :  150 - 60 = 90

Hope this helps!!

A square hole 7.50 cm along each side is cut in a sheet of copper. (a) Calculate the change in the area of this hole resulting when the temperature of the sheet is increased by 49.0 K. cm2(b) Does this change represent an increase or a decrease in the area enclosed by the hole

Answers

Answer:

it increases the the hole

Step-by-step explanation:

Kelly watches 3/5 of a movie in 5/8 of an hour. How much time wil it take her to watch the entire movie?

Answers

well, putting the movie in fifths, she watched 3/5, the whole movie will be 5/5 = 1.

[tex]\begin{array}{ccll} \stackrel{movie}{fraction}&hour\\ \cline{1-2} \frac{3}{5}&\frac{5}{8}\\[1em] \underset{whole}{1}&x \end{array}\implies \cfrac{~~ \frac{3}{5}~~}{1}=\cfrac{~~ \frac{5}{8}~~}{x}\implies \cfrac{3}{5}x=\cfrac{5}{8}\implies \cfrac{3x}{5}=\cfrac{5}{8} \\\\\\ 24x=25\implies x = \cfrac{25}{24}\implies x = 1\frac{1}{24}\qquad \textit{1 hour, 2 minutes and 30 seconds}[/tex]

I went to many other places, I saw their answers and turns out the only answer I searched up was wrong!

Answers

Answer:

I understand how that feels

Step-by-step explanation:

You roll a six-sided die and observe the number showing on the top side when the die comes to rest. What is the probability of observing:

a. an odd number?


b. a number greater than 2?


c. a number less than 7?


d. a prime number?

Answers

Answer:

a. P(O) = ¹/₂ = 0.5

As a percentage, this is 50%

b. P(> 2) = ²/₃ = 0.666...

As a percentage, this is 66.6...%

c. P(< 7) = 1

As a percentage, this is 100%

d. P(prime) = ¹/₂ = 0.5

As a percentage, this is 50%

Step-by-step explanation:

a.

1, 3 and 5 are odd, 3 of the outcomes

2, 4 and 6 are even, 3 of the outcomes

So, 3 of the 6 possible outcomes are odd and 3 are even;

Thus, the probability of an odd roll is ³/₆ (and the same applies to even);

This can be simplified to ¹/₂

b.

3, 4, 5 and 6 are the outcomes > 2;

1 and 2 are the outcomes ≤ 2;

So, 4 of the 6 possible outcomes are > 2;

Thus, the probability of rolling < 2 is ⁴/₆;

This can be simplified to ²/₃

c.

All outcomes are less than 7 since they are 1, 2, 3, 4, 5 or 6;

This means the probability of rolling less than 7 is ⁶/₆, or simply 1

d.

Prime numbers: 2, 3, 5, 7 ...

The possible prime number outcomes are 2, 3 and 5;

3 of the 6 possible outcomes, therefore, are prime so the probability of rolling a prime is ³/₆ or ¹/₂

A certain length measurement is performed 500 times. The mean value is 5.0m, and the standard deviation is 2cms. Assuming a normal distribution for the error in the measurement, how many readings fall within 5.15cm of the mean value

Answers

Using the normal distribution, it is found that 495 readings fall within 5.15cm of the mean value.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

Mean of 5m, hence [tex]\mu = 5[/tex].Standard deviation of 2 cm, hence [tex]\sigma = 0.02[/tex]

To find the proportion of readings that fall within 5.15cm of the mean value, first we need to find the following z-score:

[tex]z = \frac{0.0515}{0.02}[/tex]

[tex]z = 2.575[/tex]

The proportion is P(|z| < 2.575), which is the p-value of z = 2.575 subtracted by the p-value of z = -2.575.

Looking at the z-table, z = -2.575 has a p-value of 0.005, and z = 2.575 has a p-value of 0.995.

0.995 - 0.05 = 0.99

Out of 500 measurements:

(0.99)500 = 495

495 readings fall within 5.15cm of the mean value.

A similar problem is given at https://brainly.com/question/24663213

Can some help please

Answers

Answer:

9×10^16

Step-by-step explanation:

Only if the power is the same, you can just add the first numbers

You just need to combine.

The rule (a) = a tells us we can just remove the parenthesis.

2*10^16 + 7*10^16

That would equal to 9 x 10^16 because when adding exponents, you keep them the same.

Could you help me to solve this

Answers

Answer:

No, sorry about that, buddy, I cannot.

There are 26 3rd graders in 32 4th graders going on a field trip each van can carry 10 students how many students will be in each van

Answers

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

Solve the equation.
-9x + 1 = -x + 17

Answers

Step-by-step explanation:

-9x + 1 = -x + 17

collect like terms

-9x + x = 17-1

-8x = 16

divide both sides by -8

-8x/-8 = 16/8

x = 2

She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why

Answers

Answer:

A statistic

Step-by-step explanation:

This is because she only examined the applications that she selected.

The given percentage represents statistic.

What is percentage?

" Percentage is defined as the hundredth part of a given quantity."

According to the question,

Given,

Collection of data applicants in form of sample

Percentage calulation based on sample

Parameter : Parameter represents the data of whole population, here she collects sample.

    parameter is not the correct answer.

Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.

      Statistic is the correct answer.

Hence, the given percentage represents statistic.

Learn more about percentage here

brainly.com/question/24159063

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Find the difference between 11/5 and 5/2 on a number line

Answers

9514 1404 393

Answer:

  -3/10

Step-by-step explanation:

11/5 plots on a number line at 2.2

5/2 plots on a number line at 2.5

The distance between these points is 2.5 -2.2 = 0.3.

__

If you say the difference is 11/5 -5/2, then that is 2.2 -2.5 = -0.3 = -3/10.

What value is equivalent to 5 + [5 (4 + 2)]?
35
45
60
0110
Help pls thx

Answers

45 is equivalent to 5+[5(4+2)]

Answer:

45 5+[5(4+2)]?

Step-by-step explanation:

i hope is helped:)

a rectangle measures 5 feet by 10 feet. what is the perimeter in yards

Answers

Answer:

10 yards

Step-by-step explanation:

10 + 10 + 5 + 5 = 30 feet

30 feet = 10 yards

If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days. How long will it take for 80% of the material to decay?

Answers

Answer:

Half-Life uses the formula N () = Noe # No = Initial Amount time h = length of half-life. Ifyou start with 65 milligrams of Chromium 51,used to track red blood cells, which has half-life of 27.7 days: How long will it take for 80% ofthe material to decay? t= (27.7) h5 (65) (h3) 4= (27.7) h; (05)

Step-by-step explanation:

For the given data it will take 8.69 days for 80% of the material to decay.

What is half-life?

A radioactive substance's half-life is typically described as the amount of time it takes for one-half of its atoms to disintegrate or change into another substance.

It is given that, If you start with 65 milligrams of Chromium 51, used to track red blood cells, which has a half-life of 27.7 days.

N₀ = 65 milligrams

t1/2=27.7 days

N(t)=0.8(65 milligrams)=52 milligrams

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} }[/tex]

Here,

N(t) is the amount of the substance remaining

N₀ is the initial substance amount

t is the time elapsed

t1/2 is the half-life

Substitute the given values,

[tex]N(t) = N_0(1/2)^ {\frac{t}{t_{1/2}} } \\\\ 52 = 65(1/2)^\frac{t}{27.7} \\\\ 52=65\left(\frac{1}{2}\right)^{\frac{t}{27.7}} \\\\ \frac{65\left(\frac{1}{2}\right)^{\frac{t}{27.7}}}{65}=\frac{52}{65} \\\\ \left(\frac{1}{2}\right)^{\frac{t}{27.7}}=\frac{4}{5} \\\\ \frac{t}{27.7}\ln \left(\frac{1}{2}\right)=\ln \left(\frac{4}{5}\right) \\\\ t =-\frac{27.7\ln \left(\frac{4}{5}\right)}{\ln \left(2\right)}[/tex]

[tex]t = 8.69 \ days[/tex]

Thus, for the given data it will take 8.69 days for 80% of the material to decay.

Learn more about half-life here,

https://brainly.com/question/24710827

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cosθ(tanθ + cotθ) =

• cscθ

• secθ

• cos^2θ

• 1

Answers

Answer:

ayo i think is ufo trying to communicate hey alien we come in peace

Step-by-step explanation:

[tex]\cos \theta(\tan \theta + \cot \theta)\\\\=\cos \theta \tan \theta + \cos \theta \cot \theta \\\\=\cos \theta \left (\dfrac{\sin \theta}{\cos \theta} \right)+ \cos \theta \left(\dfrac{\cos \theta}{\sin \theta} \right)\\\\\\=\sin \theta + \dfrac{\cos^2 \theta}{\sin \theta}\\\\=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta}\\\\=\dfrac 1{\sin \theta}\\\\=\csc \theta[/tex]

Find the domain of the function.



f(x) = -5x + 3

Answers

Enter a problem...

Calculus Examples

Popular Problems Calculus Find the Domain and Range f(x)=5x-3

f

(

x

)

=

5

x

3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

(

,

)

Set-Builder Notation:

{

x

|

x

R

}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

(

,

)

Set-Builder Notation:

{

y

|

y

R

}

Determine the domain and range.

Domain:

(

,

)

,

{

x

|

x

R

}

Range:

(

,

)

,

{

y

|

y

R

}

Which description represents the expression 5x – 9?

ANSWERS

A. 9 is subtractive from the product of 5
and

B. 5 times the difference of a number 9

C. 9 is subtracted from the sum of 5 and a number

D. 9 more than the product of 5 and a number​

Answers

A isn’t finished but it would be A since the others are wrong

A farmer wants to increase the area of His rectangular pen but keep the pen a rectangular shape. He decides to a 5.7 yards of fencing
to the width of the pen but the length will remain 9.5 yards. The new area will be 77.9 square yards.
Which can be used to determine the original width of the pen?
5.7 (W+9.5) = 77.9
S95219
9.5 (W + 5.7) = 77.9

Answers

Using the equation for the area of a rectangle, the original width of the pen is determined by:

9.5 (W + 5.7) = 77.9

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

In this problem:

Increases the width by 5.7 yards, hence [tex]w = w + 5.7[/tex], in which w is the original width.The length remains at 9.5 yards, hence [tex]l = 9.5[/tex].The area is of 77.9 square yards, hence [tex]A = 77.9[/tex]

Then:

[tex]A = lw[/tex]

[tex]9.5(w + 5.7) = 77.9[/tex]

For a similar problem, also involving the area of a rectangle, you can check https://brainly.com/question/10489198

Write 7% as a fraction or mixed number in simplest form

Answers

Answer:

7/100

Step-by-step explanation:

:)

Is 5.12 times 10n =512

Answers

Answer:

it is D

Step-by-step explanation:

I have to show you, but if I do it don't on the paper

The answer is D, the variables could be replaced with a five to make the statement true

solve pls brainliest

Answers

Answer:

33/36

Step-by-step explanation:

33/35

Step-by-step explanation:

Dividing 11/14 by 5/6 is the same as multiplying by 6/5 ( reciprocal)

Which of the following best describes a ratio?

Answers

Often time we want to relate one amount or quantity with another, from the given options the one that best describes a ratio is option

A.  A comparison of two numbers

A ratio indicates how many times one number contains another. E.g, if there are five balls and nine lemons in a bowl of fruit, then the ratio of balls to lemons is five to nine. Similarly, the ratio of lemons to oranges is 5∶8

Learn more on ratios:

https://brainly.com/question/2328454

Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​

Answers

Answer:

-11 boys -6 girls

Step-by-step explanation:

help please ill give the person who answeres honstly a biranly and 25 points ofc ofc

Answers

Answer:

Alright I’ll go in order

Well first things first I’m gonna make the numbers in order first to make life easier

22, 36, 39, 39, 40, 40, 41, 42, 45, 46, 46, 49

#1: Is asking for the median of the data

The median is basically the center of the data in order

In this case the middle number here is 40 and 41, we jsut find the average between those 2 to find it. 40+41= 81 81/2= 40.5

Median :40.5

#2: Is asking for the mode

The mode is the number that comes up or repeats the most.

in this case it’s 39, 40, and 46

Mode: 39, 40, 46

#3: Is asking for the mean

The mean is basically the average, you add up all the given numbers and divide it by the amount of numbers there are. In this case it goes something like

22+36+39+39+40+40+41+42+45+46+46+49

you would get 446

Now theres 12 numbered so we divide that by 12

446/12 you’d get 37 1/6 as ther average or 37.166666666666…

#4: Is asking for the range

You just find the difference ebetween the greatest number and llowest number. In this case it’s 49-22 so you got 27

Range: 27

I think you can figur the rest out on your own!

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