How do I solve this using the Pythagorean theorem

How Do I Solve This Using The Pythagorean Theorem

Answers

Answer 1

Answer:

x=8

Step-by-step explanation:

Remember that the variables a and b in the formula are the legs and c is the hypotenuse. So that means that 15 and x are the legs and 17 is the hypotenuse. Plug those numbers where they go in the formula like below:

15^2+x^2=17^2

Go ahead and square the 15 and 17 to simplify it a little.

225+x^2=289

Now, get the x by itself by subtracting 225 from each side

x^2=64

Take the square root of each side to remove the squared on x and solve.

x=8

Answer 2
The answer is X=8
15^2+b^2=17^2

Related Questions

Simplify 79.5-2.58 x (3.63-1.63) to the third power

Answers

Answer:

a

Step-by-satep explanation:

56 times a number minus 13 is equal to 6 less than the number.

Step 2 of 2: Solve the equation for z. Express your answer as an integer, a reduced fraction, or a decimal number rounded to two places.

Answers

Answer:

Z = 19/56

OR Z = 0.34

Step-by-step explanation:

The steps in the photo above

I hope that is useful for you :)

Find the coefficient of x^2 in the expansion of (2x - 1)^5.

Answers

Answer:

So, the coefficient of the x^2 -term is 80

Step-by-step explanation:

so we need to simplify it:

#10(x^2)(2^3) = 10(x^2)(8) = 80x^2

Find the area of the figure

Answers

Answer:

288.62

Step-by-step explanation:

Which table of values represents a linear function?
A,B,C,D

Answers

Answer:

c as they give the line of the graph

Simplify the polynomial, then evaluate for x = 2 . x + 3x ^ 2 + 2x - 3 - 4x ^ 2 + 6

Answers

Answer:

-x^2+3x+3

Step-by-step explanation:

if the evaluated answer is correct (but my answer above is correct)  it would be -4+6+3 then the answer would be 5 but I am not sure

Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch. She slipped and spilled 1/4 of the lemonade in the pitcher. What fraction of a gallon of lemonade did she spill?

Answers

Answer:

Susan spilled 1/6 of a gallon of lemonade.

Step-by-step explanation:

Since Susan was carrying a pitcher that contained 2/3 of a gallon of lemonade to the table for lunch, and she slipped and spilled 1/4 of the lemonade in the pitcher, to determine what fraction of a gallon of lemonade did she spill the following calculation must be performed:

2/3 = 0.6666

0.666666 x 1/4 = X

0.166666 = X

0.166666 = 1/6

Therefore, Susan spilled 1/6 of a gallon of lemonade.

Solve the inequality. -4x < 24

Answers

Answer:

x > -6

Step-by-step explanation:

1) Divide both sides by -4

      x > - [tex]\frac{24}{4}[/tex]

2) Simplify and solve to get answer.

 x > -6.

If two figures that are similar have a factor of 1.2, the second figure is:

A quick answer and no link please!

Answers

Answer:

enlarged

Step-by-step explanation:

imagine there are two figures, figure A and B.  figure A has a length of 10cm and the scale factor is 1.2

the length of figure B = 10 X 1.2 = 12

Figure B has a longer length than figure A. thus figure B is an enlarged version of figure A.

Conversely, if the factor is 0.2

the length of figure B = 10 X 0.2 = 2cm

the length of figure B is less than that of figure A. Thus, figure B is a scaled image of A

Find the 9th term of the geometric sequence show below

Answers

Answer:

40x^20

Step-by-step explanation:

Each sequence the x value doubles.

Each sequence the x exponent goes up by 5

Change to slope-intercept form. Then find the y-intercept, first point, and second point.
x + 3y > 9
slope intercept form
y -Intercept
first point (let x=0)
second point

Answers

Answer:

[tex]x + 3y > 9 \\ 3y > - x + 9 \\ y > - \frac{1}{3} x + 3 \\ y - intercept \: is \: 3 \\ first \: point = 3 \\ second \: point \: = 9[/tex]

What is 108 divided by 8

Answers

Answer:

13.5

Step-by-step explanation:

Mark me brainliest!

Or 13 with a remainder of 5

13R5

or

13 5/8

The quotient is 13 and the remainder is 4 for the given statement.

When we divide 108 by 8, we find:

108 ÷ 8 = 13 remainder 4

The quotient is 13 and the remainder is 4.

Therefore, 108 divided by 8 is equal to 13 with a remainder of 4.

Learn more about Mathematical operations here:

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help please!!!!!!!!!!!!!!!!!!! very important

Answers

Answer:

i got B for my answer

Please help with these questions

Answers

Answer:

...... ....... ........

Two workers can finish building a play set in 18 hours. How long will it take 4 workers to build 3 play sets

Answers

Answer:

it will take 4 workers 27 hours to build 3 playsets.

Step-by-step explanation:

Given;

two works to build 1 play set in 18 hours

If a worker works at the same rate, he will finish a playset as follows;

2 worker ---------> 18 hours

1 worker -----------> ?

1 worker = 2  x 18 hours = 36 hours for 1 playset

4 workers  will take  ³⁶/₄ hours for 1 playset

4 workers --------------> 9 hours for 1 playset

For 3 playsets, 4 workers will take 3 x 9 hours = 27 hours.

Therefore, it will take 4 workers 27 hours to build 3 playsets.

i need help please it's due today

Answers

Step-by-step explanation:

work is on the paper for you, somthing that might help you with your future with math is PEMDAS always do exponents first when it's an equation like your first, second, and third question. I hope this helped.

A polling company conducted a survey asking 40 fourth year students from Ohio and 33 fourth-year students from Pennsylvania about on average, how many hours they spend on the computer per week. Ohio had an average of 52, while Pennsylvania had an average of 33. Ohio and Pennsylvania have standard deviations of 7.22 and 10.11 respectively. Construct a 99.9% confidence interval for the difference between these results.

Answers

Answer:

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction of normal variables:

When two normal variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of variances.

Ohio had an average of 52, standard deviation of 7.22, sample of 40.

This means that [tex]\mu_O = 52, s_O = \frac{7.22}{\sqrt{40}} = 1.1416[/tex]

Pennsylvania had an average of 33, standard deviation of 10.11, sample of 33.

This means that [tex]\mu_P = 33, s_P = \frac{10.11}{\sqrt{33}} = 1.76[/tex]

Distribution of the difference:

[tex]\mu = \mu_O - \mu_P = 52 - 33 = 19[/tex]

[tex]s = \sqrt{s_O^2 + s_P^2} = \sqrt{1.1416^2 + 1.76^2} = 2.1[/tex]

Confidence interval:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.999}{2} = 0.0005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.0005 = 0.9995[/tex], so Z = 3.29.

Now, find the margin of error M as such

[tex]M = zs[/tex]

[tex]M = 3.29*2.1 = 6.91[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 19 - 6.91 = 12.09 hours per week

The upper end of the interval is the sample mean added to M. So it is 19 + 6.91 = 25.91 hours per week.

The 99.9% confidence interval for the difference between these results is between 12.09 and 25.91 hours per week.

Translate the expressions with rational exponents into radical expressions, then simplify.
Please show step by step so I can understand

Answers

I don’t know I don’t know 648473 I don’t know I don’t know

How much money will there be in an account at the end of 8 years if $9,000 is deposited at 3% interest compounded semi-annually? (Assume no withdrawals are made.)

Answers

Answer:

8730

Step-by-step explanation:

A cube has an A on 3 sides and a B on 3 sides. Rolling it 50 times results in 17 A's and 33 B's.

Using this observed probability, how many A's would be rolled in 750 tries?

Answers

two hundred and fifty five

when did the alec meet the stallion ?​

Answers

Answer:

The Black Stallion, known as the Black or Shêtân, is the title character from author Walter Farley's bestselling series about the Arab stallion and his young owner, Alec Ramsay. The series chronicles the story of a sheikh's prized stallion after he comes into Alec's possession, although later books furnish the Black's backstory. Shaytan (under various transliterations) is the Arabic word for "devil".

What is the graph of the following parametric equation? x = sqrt(t) and y = 2t - 3

(pls include a graph answer!)

Answers

Answer:

Th final equation is [tex]Y = 2X^2 -3[/tex]

The graph is attached

Step-by-step explanation:

Given

[tex]X = \sqrt{t} \\t = X^2[/tex] --- Eq (1)

and [tex]Y = 2t -3[/tex] --- Eq (2)

Substituting the value of "t" from Eq (1) into Eq (2), we get -

[tex]Y = 2X^2 -3[/tex]

The graph for the equation is attached here with

The Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have parametric functions:

x = √t ⇒ x² = t

y = 2t—3

Plug t = x² in the other equation, we get:

y = 2x² - 3

The graph will be a parabola.

Thus, the Cartesian form of the parametric equation is y = 2x² – 3 and the graph will be a parabola.

Learn more about the parametric function here:

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Consider a situation in which P(A), = 1/8, P(C) = 1/4, and P(A and B) = 1/12. what is P(V and C)

Answers

Answer:

1/6

Step-by-step explanation:

just did on edg

If 19.3% of children and adolescents are obese (14.4M), what is the total number of children and adolescents overall? Please i need help

Answers

Answer:

74,611,399

Step-by-step explanation:

Percentage of obese children and adolescent = 19.3%

19.3% = 14.4 million

The overall number of children and adolescent equals a total percentage of 100%

Hence,

If 19.3 % = 14.4 million

100% = x

Cross multiply :

19.3% x = 100% * 14.4 million

0.193x = 14400000

x = 14400000 / 0.193

x = 74611398.964

Total number of children and adolescent = 74,611,399

Helppppp pleSeeeeeeeee

Answers

Answer: C

Step-by-step explanation: Hope this help :D

2(v + 1). Simplify the expression

Answers

Answer:

2v+2

Step-by-step explanation:

Which angle is an acute angle?
A. An angle measuring 325°
B. An angle measuring 265°
C. An angle measuring 125°
D. An angle measuring 85°

Answers

Anything less than 90 degrees or Pi/2, so that would be d.

Answer:

The answer is Option D

Step-by-step explanation:

Option D is the right answer since 85° is a acute angle. Acute angles are angles below 90°

Hope this helps!

Have a good day

Multiply 4x (x - 3)
I need help badly please

Answers

Answer:

[tex] {4x}^{2} - 12x[/tex]

Answer:

4x² - 12x

Step-by-step explanation:

Multiply 4x by each term inside the parentheses

4x(x) = 4x²

4x(-3) = -12x

Put the terms back into order

4x² - 12x

what is the mean median mode and range of 98,89,76,93,89?​

Answers

Answer:

Mean: 89

Median: 89

Mode: 89

Range: 22

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

Mean-89

Median-89

Mode-89

A ball is thrown vertically upward from the ground. Its distance in feet from the ground in t seconds is s=−16t2+192t. After how many seconds will the ball be 560 feet from the​ ground?

Answers

Answer:

t=7seconds or 5seconds

Step-by-step explanation:

s=-16t^2 +192t

let s=560ft

560=-16t^2 +192t

16t^2 -192t+560=0

16(t^2-12t+35)=0

(t^2 -12t +35)=0

factoring it ,it will give

(t-7)(t-5)=0

solving for t

t-7=0 or t-5=0

t=7s or t=5s

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