a) The hypotenuse of a right angled triangle is 15 cm. Taking the
perpendicular sides as x , y write the relation connecting the sides ?
b) If the area is 30 cm² find the length of its perpendicular sides ?

Answers

Answer 1

a) By Pythagoras theorem , h^2 is = a^2 + b^2 where a is the hypotenuse and a and b are the legs.

=) 15^2 = x^2 + y^2

That is the relation

b) area of triangle = 1/2 x height x base

=) 1/2 * x * y = 30

=) xy = 15cm


Related Questions

What is the volume of the solid figure?

help pls

Answers

Answer:

B, 4x6x7 and 1x3x3.

Step-by-step explanation:

First, remember the formula: V=LWH (Volume equals length times width times height). Lastly, find the equations that match that formula, therefor B, 4x6x7 and 1x3x3 matches the formula, so B  is your correct answer.

What is the correct written expression for the variable expression: (3 - x)/7
3 divided by the difference of 7 and x
or
the difference of 3 divided by 7 and x

Answers

Answer:

3 divided by 7 and x=-1.5*x

Step-by-step explanation:

Is -40/8 positive or negative?

Answers

Answer:

Negative. The answer gives - 5

Answer:

Negative

Step-by-step explanation:

-40/8 is equivalent to -5. Since -5 or "negative five" is negative (as it states), the equation is negative.

Hai vòi nước cùng chảy vào một bể. Vòi thứ nhất chảy trong 8 giờ thì đầy bể, vòi thứ hai chảy trong vòng 10 giờ thì đầy bể. Hỏi:
a, cả hai vòi cùng chảy thì sau bao lâu sẽ đầy bể
b, Nếu có một một vòi thứ ba Thảo nước ra trong 16 giờ thì sẽ cạn hết bể đầy nước thì khi mở cả 3 vòi cùng một lúc sau bao nhiêu lâu sẽ đầy bể(lúc đầu bể đầy nước)

Answers

Answer:

Please say in English

Step-by-step explanation:

I don't understand, Sorry

I NEED HELP PLEASE!!!

Answers

Answer:

Step-by-step explanation:

1.

[tex]-\frac{5 \pi }{6} +2\pi =\frac{-5\pi +12 \pi }{6} =\frac{7\pi }{6}[/tex]

2.

405-360=45°

A rectangle has vertices (−5, 6), (−1, 6), (−1, 3), and (−5, 3). It is first dilated by the rule (x, y)→(7x, 7y) and then translated 10 units down. What are the coordinates of the image?


A(−35, 32), (−7, 32), (−7, 11), (−35, 11)


B(−45, 42), (−17, 42), (−17, 21), (−45, 21)


C(−105, 42), (−77, 42), (−77, 21), (−105, 21)


D(−35,−28), (−7,−28), (−7,−49), (−35,−49)

Answers

I think the answer is c

I NEED HELP! You throw a ball from an initial height of 6 feet and with an initial velocity of 46 feet per second. Write an equation that gives the height of the ball (in feet) as a function of the time (in seconds) since it left your hand, then find the time it takes for the ball to hit the ground.

Answers

Answer:

t = 0.77930

t = 1.2832

Step-by-step explanation:

PLEASE HELP!! will give brainliest!!

Suppose cos(x) = 1/sqrt5 and sin(x) > 0. What is the value of tan(2x)?

Answers

-4/3

For your question: Suppose cos(x) =1/(sqrt(5)) and sin(x) >0. What is the value of tan(2x)?

The value of tan(2x) is equal to -4/3

why museums are regarded as information resources?​

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

Hello There!!

Step-by-step explanation:

Museums are regarded as information resources because there are historical things and artifacts there.

hope this helps,have a great day!!

~Pinky~

pila ka adlaw ang 288 ka oras​

Answers

Answer:

anu po yan salamat po sa point

For brainlest:)))) answer

Answers

Answer:

0

Step-by-step explanation:

There are not rotational symmetry.

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the
orange.
By what percentage is the grapefruit heavier than the apple?
pls answer

Answers

Grapefruit=108

Orange=100

Apple=90

a) (108-90)/90*100 = 18/90*100=20%

b) (108-90)/108= 18/108*100=16 2/3%

Answer:

The grapefruit is 20% heavier than the orange:)

Step-by-step explanation:

Let the weight of orange be x.

This means that the weight of grapefruit is:

       1.08x

( Since grapefruit is: 8% heavier than orange )

Also, the weight of apple is 10% lighter than apple.

This means that the weight of apple is: 0.90 x

giving brainliest to whomever answers correctly!​

Answers

Answer:

B: A systematic random sample

Step-by-step explanation:

Systematic sampling is a type of probability sampling in which members of a larger population are chosen at random from a larger population but at a fixed, periodic interval. This interval, also known as the sampling interval, is calculated by dividing the population size by the sample size desired. Despite the fact that the sample population is chosen in advance, systematic sampling is still considered random if the periodic interval is set in advance and the starting point is chosen at random.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Which is correct?????????????

Answers

Answer:

It discusses the role of the God in influencing our decisions

Answer:

I believe it is choice D

Step-by-step explanation:

in the excerpt it talks about how sight gives us the ability to observe and experience. it also states "we prefer sight to almost everything else." hope I'm right! ☺️

To find the percentage, what I did was that I divided 55 and 163 and the answer I got was 33%. However, my answer was incorrect. Because my answer was incorrect, how do I go about this problem?

Answers

Answer:

200

Step-by-step explanation:

You were right to divide 55 by 163. The problem, however, asks for the answer to be rounded to the nearest tenth.

Therefore, 55 / 163 = 0.3374 = 33.7%

Hope this helps!

What is the other number to this math equation?

Answers

Answer:

You need to ask yourself what times 20  gives you 600.  Then ask yourself what times 20 gives you 160.  Then that will give you your answer.

Step-by-step explanation:

A machine fills boxes at a constant rate.At the end of 35 minutes it has filled 5 boxes. Which table represents the relationship between the number of minutes the machine fills boxes and the number of boxes it has filled?

Answers

Answer:

7

Step-by-step explanation:

5 x 7 = 35 or 35/5 = 7 [ correct me if i'm wrong ]

can someone give me the anwser please?​

Answers

Answer:

5/6 + 11/6 = 16/ 6

Step-by-step explanation:

Distance between any Teo labeled tick marks =

(1 - 2/3) / 2 = 1/3 ÷ 2 = 1/3 * 1/2 = 1/6

From the left :

2/3 + 1/6 = 5/6

5/3 + 1/6 = 11/6

5/6 + 11/6 = (5 + 11) / 6 = 16/6

5/6 + 11/6 = 16/ 6

Please help with this question ive been asking for half an hourrrr

answer asap pls


Ill mark brainlist






f(n) = 10(1.02)n


Part A: When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a reasonable domain to plot the growth function? (4 points)


Part B: What does the y-intercept of the graph of the function f(n) represent? (2 points)


Part C: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent? (4 points)

Answers

Answer:

Step-by-step explanation:

11.04 = 10(1.02)^n

1.104 = 1.02^n

ln 1.104 = ln 1.02^n

ln 1.104 = n ln 1.02

n = ln 1.104/ ln 1.02

n = 4.99630409516

4.99 can be rounded to 5.

So a reasonable domain would be 0 ≤ x < 5

PART B)

f(0) = 10(1.02)^0

f(0) = 10(1)

f(0) = 10

The y-intercept represents the height of the plant when they began the experiment.

f(1) = 10(1.02)^1

f(1) = 10(1.02)

f(1) = 10.2

(1, 10.2)

f(5) = 10(1.02)^5

f(5) = 10(1.1040808)

f(5) = 11.040808

f(1)=10(1.02)^1

f(1)=10.2

Average rate= (fn2-fn1)/(n2-n1)

                     =11.04-10.2/(5-1)

                    =0.22

the average rate of change of the function f(n) from n = 1 to n = 5 is 0.22.  

Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)

Answers

Answer:

Step-by-step explanation:

Wage = rate / hr * the number of hours worked.

Wage = ?

rate = 15.45

time = 29.25 hours

Wage = 15.45 * 29.25

Wage = 451.91

i need help
can someone help me
ty

Answers

a.

Answer:

1170cm^3

Step-by-step explanation:

Break it into two prisms. 5 x 9 x 15 and 11 x 3 x 15. Find the volume of each and add.

(5 x 9 x 15) + (11 x 3 x 15)

675 + 495

1170cm^3

b.

Answer:

846cm^2

Step-by-step explanation:

Add each side's area together.

(9x15) + (5x15) + (6x15) + (3x15) + (12x15) + (11x15) + (5x9) + (5x9) + (11x3) + (11x3)

135 + 75 + 90 + 45 + 180 + 165 + 45 + 45 + 33 + 33

846 cm^2

Answer:

(a)1170 cm^3

(b)846 cm^2

Step-by-step explanation:

(a) Rectangle #1= 11 x 3 = 33 cm^2

Rectangle #2 = 5 x 9 = 45 cm^2

Volume = 45 + 33 = 78 x 15 = 1170 cm^3

(b) First find the surface are of all 8 faces in the prism and then add them all.

1st face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

2nd face = (11 x 3) + (5 x 9 ) = 33 + 45 = 78 cm^2

3rd face = 15 x 3 = 45 cm^2

4th face = 15 x 6 = 90 cm^2

5th face = 15 x 9 = 135 cm^2

6th face = 15 x 5 = 75 cm^2

7th face = 15 x 12 = 180 cm^2

8th face = 15 x 11 = 165 cm^2

1st + 2nd + 3rd +4th + 5th+ 6th + 7th + 8th = 846 cm^2

Hope this helps!

Evaluate the integral.

∫ 17/ (x^3 − 27) dx

Answers

Answer:

??????????????????????????

Please anybody? Line intergal

Answers

Parameterize the path by

r (x) = (x, x + 2)

with 0 ≤ x ≤ 2. Then

r' (x) = (1, 1)   ==>   ||r' (x)|| = √(1² + 1²) = √2

and the line integral is

[tex]\displaystyle\int_Lxy\,\mathrm ds=\sqrt2\int_0^2x(x+2)\,\mathrm dx=\boxed{\frac{20\sqrt2}3}[/tex]

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.6.
Independently, she then decides whether or not to buy a CD, with a probability of 0.2 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer:

this probability is 0.68

Step-by-step explanation:

the probability she buys fruit but not a CD is

0.6 × (1 - 0.2) = 0.48

the probability she buys a CD by not fruit is

0.2 × (1 - 0.6) = 0.08

the probability that she buys both is

0.6 × 0.2 = 0.12

the probability that she buys fruit or a CD or both is adding all 3 probabilities :

0.48 + 0.08 + 0.12 = 0.68

Evaluate the following integral on the region R in xy-plane

Answers

An obvious substitution would be to take u = x - y and v = x + 2y, so that 0 < u < 1 (which follows from y = x   ==>   x - y = 0 and y = x - 1   ==>   x - y = 1), and 0 < v < 1.

Solve for x and y in terms of u and v :

u - v = (x - y) - (x + 2y) = -3y   ==>   y = (v - u)/3

2u + v = 2 (x - y) + (x + 2y) = 3x   ==>   x = (2u + v)/3

Compute the Jacobian and its determinant:

[tex]J=\begin{bmatrix}D_ux&D_vx\\D_uy&D_vy\end{bmatrix}=\begin{bmatrix}\dfrac23&\dfrac13\\\\-\dfrac13&\dfrac13\end{bmatrix} \implies |\det(J)|=\dfrac13[/tex]

Now in the integral, we have

[tex]\displaystyle\iint_R\frac{x+2y}{\cos(x-y)}\,\mathrm dx\,\mathrm dy = \frac13\int_0^1\int_0^1\frac{v}{\cos(u)}\,\mathrm du\,\mathrm dv \\\\ \displaystyle= \frac13\left(\int_0^1v\,\mathrm dv\right)\left(\int_0^1\sec(u)\,\mathrm du\right) \\\\ \displaystyle= \frac13\bigg(\frac{v^2}2\bigg)\bigg|_0^1\bigg(\ln|\sec(u)+\tan(u)|\bigg)\bigg|_0^1 \\\\ \displaystyle= \boxed{\frac16\ln(\sec(1)+\tan(1))}[/tex]

A binary operation is defined on the set of real numbers ℝ by

x ∆ y = x²− 2xy + y
²

; x, y ∈ ℝ.

i. Find m such that 2 ∆ − 5 = √m

ii. Simplify ((n+1) ∆ y)/n


; n ≠ 0​

Answers

Answer:

I. m = 2401

II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

Step-by-step explanation:

I. Determination of m

x ∆ y = x² − 2xy + y²

2 ∆ − 5 = √m

2² − 2(2 × –5) + (–5)² = √m

4 – 2(–10) + 25 = √m

4 + 20 + 25 = √m

49 = √m

Take the square of both side

49² = m

2401 = m

m = 2401

II. Simplify ((n+1) ∆ y)/n

We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:

x ∆ y = x² − 2xy + y²

(n+1) ∆ y = (n+1)² – 2(n+1)y + y²

(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²

(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1

(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1

(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1

(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1

(n+1) ∆ y = (n – y + 2)(n – y) + 1

((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n

((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]

10 mugs and 2 plates cost £54
8 mugs and 2 plates cost £46
Write down and solve simultaneous equations

(M is the cost of a mug and p is the cost of a plate, in £

Answers

Answer:

mug = 4

plate = 7

Step-by-step explanation:

10 x + 2y =54

8x + 2y = 46

2x = 8

x = 4

2y = 14

y = 7

What is the probability of rolling a number greater than 0 on a six-sided die? Someone pls help it’s urgent!!

Answers

Answer:

6/6=1

Step-by-step explanation:

There are six sides on a die and you have six total outcomes. Hope this helps! :)

That would give you a 100% chance since all of the numbers on the die are greater than 0. Or 6/6.

Clara, Dean and Elaine were candidate in an election in which 1000 people voted.elaine won the election receiving 95 more votes than Dean,and 186 more than Clara. how many votes did dean receive?​

Answers

Answer:

E = 427 votes

Step-by-step explanation:

Let Elaine's vote be ELet Dean's vote be DLet Clara's vote be C.

Translating the word problem into an algebraic expression, we have;

E = D + 95

E = C + 186

Equating the two equations, we have;

D + 95 = C + 186

D = C + 186 - 95

D = C + 91

Also, the sum of all the votes is equal to 1000.

E + D + C = 1000

Substituting the value of "D" we have;

E + (C + 91) + C = 1000

E + C + 91 + C = 1000

E + 2C + 91 = 1000

E + 2C = 1000 - 91

E + 2C = 909

But, E = C + 186

Substituting the value of "E" we have;

(C + 186) + 2C = 909

C + 186 + 2C = 909

3C + 186 = 909

3C = 909 - 186

3C = 723

C = 723/3

C = 241 votes

Next, we would find Elaine's vote;

E = C + 186

E = 241 + 186

E = 427 votes

Lastly, we would find Dean's vote;

E = D + 95

427 = D + 95

D = 427 - 95

D = 332 votes

Check:

E + D + C = 1000

427 + 332 + 241 = 1000

1000 = 1000

An College student complained that the cost of textbooks was too high. She randomly surveyed 36 other students and found that the mean amount of money spent for textbooks was $121.60. If the standard deviation of the population was $6.36, find the best point estimate. Show your work.

Answers

Answer:

The best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Step-by-step explanation:

Best point estimate:

The best point estimate of a population mean is the sample mean.

In this question:

The sample mean amount of money spent for textbooks was $121.60, which means that the best point estimate for the mean amount of money spent for textbooks for all students at the College is of $121.60.

Other Questions
Which sentence is punctuated correctly Which of the following was the single worst act of domestic terrorism in US history?A.the Oklahoma City bombingB.the Columbine shootingC.the Virginia Tech shootingD.the 9/11 attacks on the World Trade Centerhelp please !!!!!!!!!!!!!! Please read question correctly before answering what initiatives are you implanting to ensure that your children are using social media platforms appropriately What is the slope of the line that is parallel to the given line and passes through the given point?What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?What is the y-intercept of the line that is parallel to the given line and passes through the given point? Need Help ASAP! Timed Assignment!Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points) what is the answer to 11/5 divided by 2/5 PlEaSe HelP mEakwhtb4qhnga Phillip wants to estimate how many words are in a book he is reading for class. He counts the words on 21 pages, and he finds the mean word count is 311 words per page. There are 196 pages in the book. Which is the best estimate for the total number of words in the book? All of the following situations can cause political parties to develop and change, EXCEPT:A.the political mood changesB.a new issue arises in citizens mindsC.the partys leadership changesD.citizens needs remain constant Given that the length of the figure below is x + 2, its width is2- 2, and its perimeter is 24, solve for 2. A solution of ammonia NH3(aq) is at equilibrium. How would the equilibriumchange if NH4+ were added to the solution? cities serve as administrative commercial, religious and cultural hubs for their larger surrounding area? Is it true or false What is your opinion about copying a report from the internet? Do you think that it's wrong? PLS HELP IF I DONT PASS I DIE, Read the passage from Sugar Changed the World.As sugar planters fled from the revolution in Haiti,some moved to Cuba's Oriente Province, others toNorth Americato Louisiana. By the time the Haitianplantation owners and overseers reached NewOrleans, abolitionists were pressing to end the Africanslave trade. The tragedy is that this movement to endslavery did nothing to improve conditions in LouisianaIn fact, the state that slaves called Lousy Anna wasthe very worst place for an African in America; it wasthe Caribbean all over again a death sentence.In every single American slave state, the population ofenslaved people kept rising even after the slave tradewas abolished. That was because enough enslavedchildren were born, lived, and grew to become adults.There was just one exception to this rule: Louisiana, There was just one exception to this rule: Louisiana,where the native-born enslaved population keptdropping. Sugar was a killer.Unlike the Caribbean, Louisiana has cold snaps. Thatput an additional pressure on the sugar harvest. Notonly did the slaves need to harvest the cane in perfectrhythm with the grinding mills, but the entire crop hadto be cut down between mid-October and DecemberThis pace only increased when growers installedimproved, steam-powered mills. People needed towork faster than the weather and to keep pace with machines. which details do the authors include to support the claim in this passage? select two options. Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of possible valuesfor t, the total time of the drive in hours?A1.79 B1.72 < t < 1.851.72 1.75 < t < 1.82 PLEASE HELP ASAP!a. 4b. 8c. 16d. 24which one???? What is the exact area of shaded region of the circle? Show all work. write the equation of a line with that passes through given point and gas the given slope. Answer in general form What did Hamilton's financial plan call for?Select all correct answers.O securing loyalty to the federal governmentO creating a national banko addressing the national debtO securing states' rights