Ignore the marked answer, accidentally clicked it

Ignore The Marked Answer, Accidentally Clicked It

Answers

Answer 1

From the Pythagoras's Theorem, we know that:

(Hypotenuse)² = (base)² + (perpendicular)²

We are Given:

We are given that the 2 legs (Base and Perpendicular) of the triangle are (m²-n² and 2mn)

Solving for the Hypotenuse:

replacing the variables in the Pythagoras's theorem, we get:

Hypotenuse² = (m²-n²)² + (2mn)²

Hypotenuse² = (m⁴ -2m²n² + n⁴) + (4m²n²)                  [(a-b)² = a² - 2ab - b²]

Hypotenuse² = m⁴ -2m²n² + n⁴ + 4m²n²

Hypotenuse² = m⁴ + 2m²n² + n⁴

Hypotenuse² = (m²)² + 2m²n² + (n²)²

Hypotenuse² = (m² + n²)²                                              [a² + 2ab + b² = (a+b)²]

taking the square root of both the sides

Hypotenuse = m² + n²


Related Questions

What is the horizontal distance from the origin to the point 2,9

Answers

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?

Answers

Answer:

The 90% confidence interval is  [tex]0.199 <  p < 0.261 [/tex]

The sample size to develop a 95% confidence interval is [tex]n = 2032 [/tex]  

Step-by-step explanation:

From the question we are told that

   The sample size is n =500

    The sample proportion is  [tex]\^ p = 0.23[/tex]

From the question we are told the confidence level is  90% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E =  1.645 * \sqrt{\frac{0.23 (1- 0.23)}{500} } [/tex]

=>   [tex]E =  0.03096 [/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex]0.23  -0.03096  <  p < 0.23  +  0.03096 [/tex]

=>   [tex]0.199 <  p < 0.261 [/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

The margin of error is given as [tex]E = 0.01[/tex]

Generally the sample size is mathematically represented as  

    [tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]

=>    [tex]n = [\frac{1.96 }{0.01} ]^2 *0.23 (1 - 0.23 ) [/tex]      

=>    [tex]n = 2032 [/tex]  

The sum of two numbers is -14. If the smaller number is subtracted from the larger number, the result is 10. Find the number

Answers

Answer:

smaller number = - 12

larger number = -2

Step-by-step explanation:

x + y = - 14

x - y =    10                Add

2x = - 4                     Divide by 2

x = -4/2 = - 2

-2 + y = - 14               Substitute - 2 = x in x + y = - 14

y = - 14 + 2                Combine

y = - 12

help please with #3

Answers

Answer: x = 2a over b + c

Step-by-step explanation:

1. Multiply both sides by two. This cancels out 2 and turns a into 2a. It should look like 2a = bx + cx

2) Since both b and c have x’s, we turn it into (b + c)x

3. Then divide both sides by b+c to get 2a over b + c = x

ula for a Variable
The surface area of a cone is given by the formula
S = nil + n0r2 Solve the formula for l.
0 1=S - p2
O l=S+ p2
Ol= $ - p2
TT
01 = 5 +2.
1=
TT

Answers

Answer: 80 votes

Step-by-step explanation: Solve the formula for l. A) l ... 01/18/2017. Mathematics · High School. answered. The surface area of a cone is given by the formula S = πl + πr2. ... all of the 2's are to the power of R the 5/3.14's are fractions. 2 ... Incognit-oh-no… ... and 219 more users found this answer helpful. Thanks 140. 4.7. (80 votes).

The surface area of a cone is given by the formula S = πl + [tex]\pi r^2[/tex], the formula for I will be l = S/3.14 – [tex]r^2[/tex]. The correct option is C.

What is surface area?

The surface area of a three-dimensional shape is the amount of space that surrounds it.

Starting with the given formula:

[tex]S = \pi l + \pi r^2[/tex]

We want to solve for l.

First, we can isolate the term with l on one side of the equation by subtracting [tex]\pi r^2[/tex] from both sides:

[tex]S - \pi r^2 = \pi l[/tex]

Then we can divide both sides by π to isolate l:

[tex]l = (S - \pi r^2) / \pi[/tex]

Therefore, the solution is:

[tex]l = (\frac{S}{\pi} - r^2)[/tex]

Thus, the correct option is C.

For more details regarding surface area, visit:

https://brainly.com/question/29298005

#SPJ7

Your question seems incomplete, the probable complete question is:

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

A) l = S – r2

B) l = S + r2

C) l = 5/3.14 – r2

D) l = 5/3.14 + r2

all of the 2's are to the power of R

the 5/3.14's are fractions

at 4 pm charlie realizes he has half an hour to get to his grandmother's house for dinner? if his grandmother lives 40 miles away, how fast will charlie have to drive to get there on time?

Answers

Answer:

10 minutes

Step-by-step explanation:

Speed = distance ÷ time, so 40 ÷ 4 = 10

hope this helps :)

Determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)

a
1 and 1 over 10

b
1 and 5 over 9

c
2 and 2 over 9

d
2 and 4 over 5

Answers

Answer:2 2/9

Step-by-step explanation: 4/3 x 5/3= 20/9= 2 2/9

Sammy saw a fish swimming at a constant rate toward the ocean floor. From a starting position of 7 meters below sea level, the fish is descending 3 meters per second. Sammy said the equation y= -7x - 3 can be used to represent the situation. Explain why Sammy is incorrect and how he could fix it.

Answers

Answer:

what grade is this lol

Step-by-step explanation:

Answer:

y = 3x - (-7)

Step-by-step explanation:

As the fish starts at -7 meters below sea level, and is descending 3 meters per second, Sammy needs to subtract -7, and then multiply 3 by x. (x being the time is takes)

FIND THE MEASURE OF EACH MISSING ANGLE HURRY DUE AT 10

Answers

Because of a linear pair then because of vertical angles and because all angles have to be 180 added up

The following two-way table shows the responses from a group of people, categorized by age-group, when asked about their favorite types of vacations.

Which of the following statements is not supported by the table?
1.)More people chose relaxation than any other vacation type.
2.)Each vacation type was selected by the same number of people in the under-21 age-group.
3.)In the 21 to 35 age-group, nature was chosen by the least number of people.
4.)Of all the vacation types, nature was chosen by the least number of people.
5.)The percentage of people that chose relaxation was equal for each age-group.

Answers

Answer:

The percentage of people that chose relaxation was equal for each age-group.

Step-by-step explanation:

Answer:

5 or E- The percentage of people that chose relaxation was equal for each age group

Step-by-step explanation:

You can use the process of elimination where every other answer choice is correct except for the last one. Otherwise, the percentages for each group of age group are all different as shown on the margins, which is why it is incorrect. Therefore, that is the correct answer for this problem.  

2. Carlo, a school varsity player, has 32 table tennis ball and 16 table
tennis paddles. He wants to sell packages of balls and paddles
together. What is the greatest number of packages he can sell with
no leftover balls or paddles?​

Answers

Answer:

balls

Step-by-step explanation:

lol hahahahahahahahhahahahahahhahahahahahahahahhahah

Answer:

two balls for every one paddle

Step-by-step explanation:

Carley owns an ice cream stand. She wants to predict how many ice cream cones she will sell as a function of the average daily high temperature each month. The data for the past 777 months is shown in the table below.

Answers

Answer:

can you show me the data so i can see the temperature

Answer: Graph C

Step-by-step explanation: The answer is C (Took the quiz)- Khan Academy

A baker makes 30 cupcakes. He makes 3 times as many cupcakes as his friend Sarah. How many cupcakes does Sarah make?​

Answers

Answer:

sarah makes 10 cupcakes

Step-by-step explanation:

baker makes 30 cupcakes.

30/3=10

Can someone help with this problem? ASAP

Answers

I think it May be b because it’s slope is rising by two

The average of 5 quiz grades is 10. When the lowest grade is dropped and the new average is calculated, it turns out to be 11. What was the score of the dropped grade?

Answers

Answer:

The score of the dropped grade is 6

Step-by-step explanation:

To find the average of a set of numbers you need to add all the numbers and divide by how many numbers there are. The problem wants you to solve it in reverse. Let put this into an algebraic equation with a, b, c, d, and e being the variables of the test scores

(a+b+c+d+e)/5=10

Then we can multiply both sides by 5 and get

a+b+c+d+e=50

Lets assume that c is the lowest test score. To calculate the average of that we get

a+b+d+e/4=11

Doing the same thing, we know that a+b+d+e=44

Now compare the two:

a+b+c+d+e=50

a+b+d+e=44

We can now know that c=50-44=6

So, 6 is the score of the dropped quiz. Hope that helped!

What is the probability of drawing a month that has 31 days?

Answers

Answer: 5/12

Step-by-step explanation:

Enter the number that makes the equation true

Answers

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

PLS Help! SHOW WORK ON IT

Answers

Answer:

Perimeter of Triangle ABC is 21

Step-by-step explanation:

According to the Midpoint Theorem, if the line segment adjoins midpoints of any of the sides of a triangle, then the line segment is said to be parallel to all the remaining sides, and it measures about half of the remaining sides.

In this case, since XY=7, then AZ+ZC will need to equal 14 as that's opposite of half. Since AZ=ZC given that they are congruent, then AZ=7. Therefore the perimeter is XA+XZ+AZ=5+9+7=21

James says that 12 is a common factor of 3 and 4. June says that 12 is a common multiple of 3 and 4. Who is correct?

Answers

Answer:

June is correct.

Step-by-step explanation:

June is correct because Common Multiples are what we get after multiplying the number while common factors are what we can multiply to get the number.

What is the value of s?

s = __°

Answers

Answer:

50 what

Step-by-step explanation:

How many factors are in a B + CD + EF + GH

Answers

The given expression is

=ab+cd+ef+gh

The meaning of expression is equal to terms which contains variables and constants and operation between them is Addition, Subtraction,  Multiplication and Division.

→The expression consists of four terms which are, ab, cd, ef, and gh.

→Each term contains

Two factors.

plz mark as brainliest

1. Marsha used 2 cups of sugar to make 3 dozen
cookies. How much sugar would she use to make 9
dozen cookies?

Answers

6 cups of sugar to make 9 dozen

For many important processes that occur in the body, direct measurement of characteristics of the process is not possible. In many cases, however, we can measure a biomarker, a biochemical substance that is relatively easy to measure and is associated with the process of interest. Bone turnover is the net effect of two processes: the breaking down of old bone, called resorption, and the building of new bone, called formation. A biomarker for bone formation measured was osteocalcin (OC), measured in the blood. The units are nanograms per milliliter (ng/ml). For the 31 subjects in the study the mean was 33.4 ng/ml. Assume that the standard deviation is known to be 19.6 ng/ml.

Required:
Give the margin of error and find a 95% confidence interval for the mean TRAP amount in young women represented by this sample.

Answers

Answer:

The margin of error is  [tex]E = 6.9 [/tex]

The 95% confidence interval is  [tex] 26.5  <  \mu < 40.3 [/tex]  

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  31

     The mean is  [tex]\mu = 33.4 \ ng/ml[/tex]

      The standard deviation is  [tex]\sigma = 19.6 \ ng/ml[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.96  *  \frac{19.6  }{\sqrt{31 } }[/tex]

=>  [tex]E = 6.9 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex] 33.4  - 6.9 <  \mu < 33.4  +  6.9 [/tex]

=> [tex] 26.5  <  \mu < 40.3 [/tex]  

I really need help can someone please understand

Answers

sure what’s the problem

someoneeeeee pleaseeeeee help meeee​

Answers

Answer: x=60

Step-by-step explanation:

x+22+x+6+x−28=180

Step 1: Simplify both sides of the equation.

x+22+x+6+x−28=180

x+22+x+6+x+−28=180

(x+x+x)+(22+6+−28)=180(Combine Like Terms)  22+6=28 and then 28-28=0

3x=180  

3x=180

Step 2: Divide both sides by 3.

3x/3 = 180/3

x=60

hope this was helpful.

help with number 1 & number 2 please !

Answers

Step-by-step explanation:

2vt= (ht²/2) - 2c - r

v= ((ht²/2) -2c -r) / 2t

v= ht/4 - c/t - r/2t

G(x)=(x-2)(3x+3) find the zeros of the function enter the solution from least to greatest

Answers

Hello i need help with that too

Answer: g (x)=(x -2)(3x +3)

lesser x = -1

greater x = 2

Step-by-step explanation:

1979 to 2020 is how many years​

Answers

The answer is 41 years

Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

Answers

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

Step-by-step explanation:

Given two points are:

[tex](x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)[/tex]

Slope intercept form of line is given as:

[tex]y = mx+b[/tex]

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the values

[tex]m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}[/tex]

Putting the value of slope in slope-intercept form we get

[tex]y = \frac{1}{2}x+b[/tex]

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

[tex]4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2[/tex]

Putting the value of b

[tex]y = \frac{1}{2}x-2[/tex]

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: [tex]y = \frac{1}{2}x-2[/tex]

For f(x)=-5x+10, what is the value of x for which f(x) =35

X = 5
None are correct
X=3
X=-4
X=-5

Answers

Answer:

x=-5. -5x+10 replace the x with -5, multiply, add ten, and you'll get f(x)= 35

Answer:

-5

Step-by-step explanation:

f(x) =35

f(x) = -5x +10

equate the two equations:

-5x +10 =35

-5x =35-10

-5x =25

x = 25/-5

x = -5

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