One of the legs of a right triangle measures 9 cm and the other leg measures 11 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf 14.2 \ cm}}[/tex]

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean Theorem to solve for the sides.

[tex]a^2+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse. In this triangle, we know the legs are 9 centimeters and 11 centimeters, or:

a= 9 cm b= 11 cm

Substitute these values into the formula.

[tex](9 \ cm)^{2} +(11 \ cm)^{2} =c^{2}[/tex]

Solve the exponents.

(9 cm)²= 9 cm*9 cm=81 cm²

[tex]81 \ cm^{2} +(11 \ cm)^{2} =c^{2}[/tex]

(11 cm)²= 11 cm*11 cm= 121 cm²

[tex]81 \ cm^{2} +121 cm^{2} =c^{2}[/tex]

Add the values on the left side.

[tex]202 \ cm^{2} =c^{2}[/tex]

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

[tex]\sqrt {202 \ cm^{2} }=\sqrt{c^{2} }[/tex]

[tex]\sqrt {202 \ cm^{2} }=c[/tex]

[tex]14.2126704036 \ cm =c[/tex]

We are told to round to the nearest tenth.

14.2126704036

The 1 in the hundredth place tells us to leave the 2 in the tenth place.

[tex]14.2 \ cm= c[/tex]

The hypotenuse is equal to 14.2 centimeters.


Related Questions

Because the bisector of the vertex angle of an isosceles triangles the bisector of the base, m<BDA = m<CDA =​

Answers

Answer: 90 degrees

Step-by-step explanation:

BD=CD

2(BD)= BC

2

Which of these arcs has a measure of 134 degrees?

• FJ
• DF
• EG
• DH

Answers

Answer:

[tex]df \: is \: correct \: answer[/tex]

Consider the following 8 numbers, where one labelled x is unknown. 28, 39, 21, x , 33, 38, 2, 45 Given that the range of the numbers is 57, work out 2 values of x

Answers

The needed two values of x are: 59 and -12.

The difference between a sequence's maximum value and minimum value is referred to as the sequence's range.

A sequence's range is just a set that identifies the sequence. The set x1, x2, x3, and so forth is typically used to describe the range; it is also written as xn; n = 1, 2, 3,...

Given sequence of 8 numbers as: 28, 39, 21, x , 33, 38, 2, 45

Given range of above sequence: 57

Since the value x can assume any value, it have option to be minimum value in the sequence or maximum value in the sequence such that  the range remains at 57.

Case 1: x as minimum value of given sequence:

If so, then the maximum value is 45. Then-

range = maximum value - minimum value

57 = 45 - x

x = -12

Case 2: x as maximum value of the given sequence:

If so, then the minimum value of the sequence is 2. Then-

range = maximum value - minimum value

57 = x - 2

x = 59

Thus, the needed two values of x are: 59 and -12.

To learn more about sequence range visit : brainly.com/question/24315217

#SPJ4

Given f(x) = 6(1-x), what is the value of f(-5)?

Answers

f(x)=36

Explanation:
when you plug -5 in place of x into the equation, you are left with 6(1-(-5)). Since subtracting a negative is the same as adding a positive, we know that 1+5=6 which leave us with 6(6) which is 36.

Hope that helps! :)

A square and an equilateral triangle are joined to form the polygon shown what is the sum of the interior angles of the polygon 240 degrees 360 degrees 420 degrees 540 degrees

Answers

Answer:

540°

Step-by-step explanation:

An equilateral triangle has 3 interior angles of 60°

A square has 4 interior angles of 90°.

When the images are joined, two vertices of each figures are joined together, such that these angles will have now a measure of:

60° + 90° = 150°

Then this figure has:

one angle of 60°

two angles of 150°

and two angles of 90°

(the image below illustrates this situation)

The sum of the interior angles is:

S = 60° + 2*150° + 2*90° = 540°

what is the least common denominator 5/8 and 3/4

Answers

Answer:

The least common denominator is 8, you need to multiply the 3 by 2.

Answer:

8

Step-by-step explanation:

4. The graph shows a nonlinear function.

4a. Write the equation of a second function that has a constant rate
of change of 0 and passes through (2, 1). What does its graph
look like?

4b. What is the difference in outputs of the two functions at x = 0? Explain.

4c. How many times do the graphs of the functions intersect? Explain.
d. For inputs between 1 and 0.5, which function has greater outputs? Explain.

4d. For inputs between -1 and 0.5, which function has greater outputs? Explain.

Answers

Answer:

A linear function is a special type of function whose graphs are straight lines (as their name suggests). Let’s look at a straight line and find out what this particular shape of graph tells us about the relationship between the input  and the output  of a linear function.

Step-by-step explanation:

pls mark as brainliest

which operation should be completed first to find the value of the expreesion below 12 + 30 / (6 -3) + 1

Answers

Subtraction (6-3) in parentheses should be first

Complete the equation of the line who’s y intercept is (0,-1) and slope is 4

Answers

Y=4x-1

The equation of a line is:

Y=mx+c

We are told that the slope is 4 which is also gradient, meaning that M=4

Now we are left with:

Y=4x+c

There are two ways to get C:

1. We know that C represents the y-intercept so immediately we can conclude that C=-1

2. You can work it out by substituting the coordinate for the X and Y value:

-1=4(0)+c

-1=C

So in conclusion, the equation of the line is:

Y=4x-1

Compute the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4.

Answers

The smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

To compute this, first convert 5 to binary and base-4:

5 in binary: 101

5 in base-4: 11

Since 11 is the same in both bases, the next number that would be a palindrome in both bases is 11.

To find the base 10 number of this palindrome, we convert 11 from binary and base-4 to base 10:

11 in binary: 1011

11 in base-4: 111

Therefore, the smallest base-10 positive integer greater than 5 that is a palindrome when written in both base 2 and 4 is 11.

Learn more about palindrome here:

https://brainly.com/question/21901688

#SPJ4

35 PTS. Don’t explain. y=?

Answers

Answer:

180-25-60=95

Step-by-step explanation:

Y=35
Becuase 120 + 25 = 145
180-145=35

The library has 1,500 fiction books and 8,500 non-fiction books. What percentage of the books at the library are fiction books?

Answers

15%

If you take fiction plus non fiction it equals 10k books. 1500/10000 is 15%

Jennifers math score for third quarter were 78, 89, 93, 73, 99, 87, 92, and 89 what is the range of her scores

Answers

Answer:

26

Step-by-step explanation:

range = [highest number] - [lowest number]

99-73=26

If -11y = -13, then y = 1.2
If -11y = -13, then y = 24
If -11y = -13, then y = -1.2
If -11y = -13, then y = 0.846154...
I don't know yet

Answers

Answer:

A.

Step-by-step explanation:

A = 1.18, but rounded, is 1.2

Answer:

A) -13.2

Step-by-step explanation:

it's the closest one

help ! work needs to be shown on both (both, all three, however you’d like to refer it as)

Answers

Answer:

13= 89%

Step-by-step explanation:

89/100= .89= 89%

Answer:

13. 89%

14. 1/10 to each friend

Step-by-step explanation:

13. 89/100 = 0.89 -> 89%

100%/10 friends = 10% per friend, so 1/10 of the cake goes to each friend.

Fredrick can use decims as 0.1, as 0.1 of the cake goes to each friend.

F39) if x## is defined as x## = x² - x for all values of x, and A## = ( A - 2 )##, then what is the value of A?

Answers

The value of A in A## = ( A - 2 )## if x## = x² - x is 2 Or 3.

What are coding and decoding?

Topics in the reasoning part include coding, decoding, and reasoning. One of the most frequently occurring portions in all of the important competitive exams specifically created for employment procedures and higher education is this one. Because Coding-Decoding and Reasoning problems can be difficult for some applicants to complete, they avoid them and lose some quick and simple marks.

Given, x## is defined as x## = x² - x.

Therefore,

A## = (A - 2)##

= (A - 2)² - (A - 2).

= A² - 4A + 4 - A + 2.

= A² - 5A + 6.

Let, A² - 5A + 6 = 0.

A² - 3A - 2A + 6 = 0.

A(A - 3) - 2 (A - 3) = 0.

(A - 3)(A - 2) = 0.

A = 3 Or A = 2.

learn more about quadratic equations here :

https://brainly.com/question/30098550

SPJ1

help me with this question, please, ill choose brainiest and give u 30 points for answering
image below

Answers

Answer: D

Step-by-step explanation:

The table shown represents a linear relationship. x 0 1 3 4 y −8 −6 −2 0 Based on the table, what is the equation of the linear relationship in slope-intercept form? y = 2x − 8 y = 2x + 8 y = −2x + 4 y = −2x − 4

Answers

Based on the table, an equation of the linear relationship in slope-intercept form include the following: A. y = 2x − 8

What is the slope-intercept form?

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

m represents the slope.x and y are the data points.c represents the y-intercept.

Next, we would determine the slope of the data points in this table as follows;

Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-6 - (-8))/(1 - 0)

Slope, m = 2/1

Slope, m = 2.

At point (0, -8), an equation of this line can be calculated in slope-intercept form as follows:

Note: The y-intercept is equal to -8.

y = mx + c

y = 2x + (-8)

y = 2x - 8.

Read more on slope here: brainly.com/question/3493733

#SPJ1

Answer:

A. y = 2x − 8

Step-by-step explanation:

Reason Abstractly Determine if the
statement is true or false. Justify your
response.
The point (1, r) on the graph of a proportional
relationship shows the unit rate r.

Answers

Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.

Is the statement true or false?

Here we have the following statement:

"The point (1, r) on the graph of a proportional relationship shows the unit rate r."

First, remember that a proportional relationship between two variables x and y can be written as:

y = k*x

There k is what we call the constant of proportionality or the unit rate.

If we evaluate that equation in x = 1, we will get:

y = k*1

y = k

Then we have the point (1, k).

In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.

So the statement is true.

Learn more about proportional relations by reading:

https://brainly.com/question/12242745

#SPJ1

Does anybody know what the answer to this question?

Answers

The simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].

What is simplified form of the expression?

If a fraction's top and bottom have only the number one in common, then it is expressed in its simplest form. The top and bottom cannot be divided further and remain whole numbers, in other words. The phrase "lowest terms" is another term for the simplest form.

Consider, the given expression

[tex]\frac{(\frac{1}{x^2}-\frac{2}{y} )}{y-2x^2}[/tex]

We have to find the simplified form of the given expression.

Taking cross multiplication of numerator of the above fraction.

[tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2}[/tex]

Using: [tex]\frac{(\frac{a}{b} )}{c} = \frac{a}{b}*\frac{1}{c}[/tex]

⇒  [tex]\frac{(\frac{y-2x^2}{x^2y} )}{y-2x^2} = \frac{y-2x^2}{x^2y} *\frac{1}{y-2x^2} = \frac{1}{x^2y}[/tex]

Hence, the simplified form of the given fraction is, [tex]\frac{1}{x^2y}[/tex].

To know about simplified form of the expression, click on the link

https://brainly.com/question/28323654

#SPJ1

How much does a cat way on the moon

Answers

Answer:

Since weight is directly dependent on the acceleration of gravity, things on the Moon will weigh only 16.6% (≈ 1/6) of their weight on Earth.

Step-by-step explanation:

Being that the moon has a gravitational force of 1.622m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on the moon. So an object or person on the moon would weigh 16.5% its weight on earth. Therefore, a person would be much lighter on the moon.

have a nice day /night\

may i please have a branlliest

im so bad at this help plss

Answers

This is a common type of problem you will get a lot in middle school with some steps I’ll walk you through.

1. To start off, go ahead and point that coordinate the line needs to pass through with an x value of -2 and a y value of -4.
2. Then, look at your slope: -1/2. The - automatically tells you that your slope is going to be from a higher left to a lower right.
3. The -1/2 in your slope tells you that for every 1 unit drop in y value, move your x along to the right by 2 units.
4. With this rule, apply it to the dot you just drew. For instance, one point would be (0,-5) because x increased two as y decreased by one.
5. You will eventually have a series of dots that you can draw the line through. You can even feel free to erase all the little dots you drew (except -2,-4) if you want the line to look nicer.

You got this! :D

Select all ratios equivalent to 2:14. A3:21b.1.2.c
16:112

Answers

The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C

What is equivalent ratios?

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

2:14 = 2/14

Reducing 2/14 to the lowest terms = 1/7

2:14 is equivalent to 1:7

3:21 = 3/21 = 1/7

Reducing 3/21 to the lowest terms = 1/7

3:21 is equivalent to 1:7

1:2 = 1/2

1:2 is not equivalent to 1:7

16:112 = 16/112 = 1/7

Reducing 16/112 to the lowest terms = 1/7

16:112 is equivalent to 1:7

Hence, 2:14, 3:21 and 16:112 are all equivalent ratios

Learn more about equivalent ratios at:https://brainly.com/question/2328454

#SPJ1

Find my number, if the product of my number and 3 is 15 more than the sum of my number and 3

Answers

Answer:

9

Step-by-step explanation:

let the number be X

x multiplied by 3 will be equal to 15 + X + 3

3x = 18+X

2x = 18

x = 9

Answer:

9

Step-by-step explanation:

What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answers

Answer:

6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6[tex]\frac{2}{3}[/tex].

Check:

3(6.666...)-y=6

20-y=6

-20 from 6

-y=-14

y=14

20-14=6

6=6

3x(6.666...)+y=34

20+14=34

34=34

To begin, we can convert the equations into slope-intercept form:

3x - y = 6 → y = 3x - 6

3x + y = 34 → y = -3x + 34

Next, we plug it in to become an equation with variables on both sides:

3x - 6 = -3x + 34

→ 6x - 6 = 34

→ 6x = 40

→ x = 6 2/3 OR 6.66666

Complete the square to write each equation in vertex form. Then, state whether the vertex is a minimum or a maximum and give its coordinates.

Answers

Answer:

a) y(x) = (x + 2)^2 -2

b) minimum

c) (-2, -2)

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

Given

y = x² + 4x + 2

(a)

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + 4x

y = x² + 2(2)x + 4 - 4 + 2

y = (x + 2)² - 2

(b)

Since a = 1 > 0 then vertex is minimum

(c)

(h, k ) = (- 2, - 2 ) ← coordinates of vertex

Someone help please hurry !!! ASAP

Answers

Answer:

it's -4

Step-by-step explanation:

hope it helped!!!!!!

Answer:

-4

Step-by-step explanation:

The answer will be the same as a positive square root, just add a negative.

brainy plot and labels points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on the number line

Answers

Answer:

Step-by-step explanation:

To plot points P (-5/2), Q (2 3/4), R(1.25), and S(-3.5) on a number line, we can simply draw a horizontal line and mark off the positions of the points. The numbers on the number line will represent the values of the x-coordinates of the points.

[asy]

unit size(1cm);

draw((-7,0)--(5,0));

draw((-7,0)--(-7,1)--(5,1)--(5,0)--cycle);

dot("$P$", (-5/2,0), S);

dot("$Q$", (2 3/4,0), S);

dot("$R$", (1.25,0), S);

dot("$S$", (-3.5,0), S);

[/asy]

On the number line, point P is located at -5/2, point Q is located at 2 3/4, point R is located at 1.25, and point S is located at -3.5.

Solving Systems: Graphing Method
y = 4x+6
2x-3y=1

Answers

Answer:

vjgioio

Step-by-step explanation:

Answer:

Therefore x= -1.9

y= -1.6

Help Me Now!!!
need help with b c and d

Answers

Answer:

b) Take the current height, and add up 15.

c) y = 80x + 15

where y is the height of the water in the pool, in centimeters

where x is the time since the hose is in the pool, in hours

d) 180 = 80x + 15

165 = 80x

x = 165/80 = 2.0625 hours, which is also 2 hours and 3 minutes.

Other Questions
write as complete square root 35 A type of fish for your aquarium costs $5 each. You can spend no more than $30. How many of thesefish can you buy? Write an inequality to model the problem. Then solve the inequality to find thenumber of fish.Let f be the number of fish you can buy. Which inequality models the problem? A. F+ 5 30 B. 5f 30C. 5f 30D. F+5 30 Does the table below represent a proportional relationship? DUE PLSSA. Yes, because all the ratios of y to x are equal to 2.B. Yes, because all the ratios of y to x are equal to 3.C. No, because all the ratios of y to x are not equal.D. No, because all the numbers are positive. explain in detail the following structure used in expository writing :cause an effect The 5th grade is going on a trip. There are 285 students in the grade. Buses hold 30 passengers. How many buses are needed for the entire fifth grade to go on their trip? A force of 20 Newtons moves a box 2.0 meters and does 40 N*m of work. How many Joules is this? PLSS HELP TIMED QUESTION WILL GOVE BRAINLIEST which question is not a statistical question?How many vehicles do Boston residents have per household?How much money do Boston residents spend on transportation every day?How many Boston residents use public transportation?How many times per month do Boston residents use public transportation?How long does it take for Boston residents to travel to work? . The majority of the names of sports and sporting equipment are masculine in Spanish. Can you find the feminine word below?Equipocanchaguante To find the distance from the edge of a lake to the tree on the island in the lake, Lisa sets up atriangular configuration as show in the diagram. The distance from Location A to Location B is 97meters. The measures of the angles at A and B are 46 and 103 . What is the distance from theedge of the lake at B to the tree on the island at C? Round the distance to the nearest tenth of ameter.ABC Which two statements correctly describe transmutation? O A. The parent and daughter elements are different. B. The atomic masses of the parent and daughter elements are the same. c. Neither the number of atoms nor the number of nucleons is conserved. D. The number of nucleons is conserved. Consider the function g(x) = (x-e)^3e^-(x-e). Find all critical points and points of inflection (x, g(x)) of the function g. The ________ is equal to the square root of the systematic variance divided by the total variance.A.CovarianceB.Correlation coefficientC.Standard deviationD.Reward-to-variability ratioE.Regression coefficien Which of the following themes is best represented by Antigones refusal to adhere to Creons ruling regarding the burial of Polynieces?family vs. stateunconditional loverevengeresurrection of the soul Which of the following would be a type of court case heard at the state level? A. any case about traffic violations B. legal matters where child custody is a concern C. cases that have been appealed in lower courts D. all murder cases in Pennsylvania What does Lanyon's letter reveal? PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which sentence best states the central idea of the first paragraph?A Life in New York was teetering between old and new.B People once traveled mostly by horse, carriage, and ship. New engineering feats were being accomplished in the 1800s.D People crossed the East River by ferry-boat, night and day. why filipino students ranked last in reading comprehension survey how effective were the 13th 14th and 15th amendments for the equality for African Americans in the south