Larry bought a trampoline measuring 10 feet by 12 feet. what is the length of the diagonal of the trampoline?

Answers

Answer 1
we know that
Applying the Pythagorean theorem

c²=a²+b²
c is the diagonal
a=10 ft
b=12 ft
c²=10²+12²------> c²=244--------> c=√244--------> c=15.62 ft

the answer is
the length of the diagonal of the trampoline is 15.62 ft

Related Questions

Assume that the line passes through the point (−2,4) and is parallel to the line through the points ( −4,4) and (−5,−1).find the equation of this line in slope intercept form.

Answers

let m be the slope and b the y-intercept.

m=(y₂-y₁)/(x₂-x₁)

m= (-1-4)/(-5-(-4))

m= 6

y=mx+b

4=6(-4)+b

b=28

y=6x+28

(-2,4)

parallel means the slopes are the same:

4=6(-2)+b

4=-12+b

b=16

y=6x+16






HURRY PLZ
Determine whether each set of side lengths could be the sides of a right triangle. Drag and drop each set of side lengths to the correct box. Right Triangle Not a Right Triangle.

Determine whether each set of side lengths could be the sides of a right triangle.

Drag and drop each set of side lengths to the correct box.

Right Triangle Not a Right Triangle.

6cm, 22.9cm, 20.1cm.
10.5cm, 20.8cm, 23.3cm

Answers

6^2 + 20.1^2 =? 22.9^2
36 + 404 does NOT equal 524.41
These do NOT form a right triangle.

10.5^2 + 20.8^2 =? 23.3^2
110.25 + 432.64 = 542.89
Therefore, it is a right triangle.


Answer:

Second option is the correct answer.

Step-by-step explanation:

To know if the given set of numbers can be possible lengths for a right triangle, we will use the Pythagorean theorem that states:

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

a and b are smaller lengths.

Option first:

6cm, 22.9cm, 20.1cm.

[tex]6^{2}+20.1^{2} =22.9^{2}[/tex]

=> [tex]36+404.01=524.41[/tex]

=> [tex]440.01\neq 524.41[/tex]

This is not a right triangle.

Option second:

10.5cm, 20.8cm, 23.3cm

[tex]10.5^{2}+20.8^{2} =23.3^{2}[/tex]

=> [tex]110.25+432.64=542.89[/tex]

=> [tex]542.89=542.89[/tex]

This is a right triangle.

Range for the equation 2y=8-4x if the domain is (-2,-1,0,2,5)

Answers

[tex]2y=8-4x\ \ \ |divide\ both\ sides\ by\ 2\\\\y=4-2x[/tex]
Put numbers from {-2; -1; 0; 2; 5} to the equation instead of x:
[tex]x=-2\to y=4-2\cdot(-2)=4+4=8\\\\x=-1\to y=4-2\cdot(-1)=4+2=6\\\\x=0\to y=4-2\cdot0=4\\\\x=1\to y=4-2\cdot1=4-2=2\\\\x=2\to y=4-2\cdot2=4-4=0[/tex]
We have the range: {0; 2; 4; 6; 8}.

the weight of 1in ^3 of water is 0.036 pounds. A container contains
528.768 pounds of water. what is the volume of water in the container

Answers

density of water  = 0.036 pounds/in^3

density = weight/volume

0.036 = 528,768 /  volume

required volume =  528,768 / 0.036 =  14,688,000  in^3

The volume of the water in the container is calculated by dividing the total weight of water (528.768 pounds) by the weight of one cubic inch of water (0.036 pounds), resulting in 14688 cubic inches.

To find the volume of water in the container, we first consider the weight of 1 cubic inch of water, which is given as 0.036 pounds. We know that the container holds 528.768 pounds of water. To find the volume, we divide the total weight of water in the container by the weight of one cubic inch of water.
Volume = Total Weight / Weight per Unit Volume

Volume = 528.768 pounds / 0.036 pounds/in³

Volume = 14688 cubic inches

If you need the volume in other units, such as gallons, you must convert cubic inches to gallons using the appropriate conversion factor.

Which point best represents the square root of 15?
A. Point A
B. Point B
C. Point C
D. Point D

Answers

The square root of 15 = 3.87
So point B is the answer it’s between 2 and 4







PLEASE HELP 20 POINTS

Answers

period would be the distance between 2 peaks

looking at the graph there is a peak on x= 1 and then a peak on x= 4
4-1 = 3 so the peak is 3

the amplitude is the midpoint between the highest point and lowest point
 on the graph
 the high point is y=1 and the low point is y = -2
1 + -3 = 3 spaces, midpoint = 3 / 2 = 1.5 so the amplitude = 1.5

the answer is the first one.

Answer:


Step-by-step explanation:

i put a awnser and that person hacked me lol

What is the percent chance a coin lands on heads with 3 tosses?

Answers

1/2 x 1/2 x 1/2 = 1/8
then you convert it into a percent
12.5%

For which of the inequalities below is v = 4 a solution? A v + 5 ≥ 9 B v + 5 > 9 C v + 5 < 8 D v + 5 ≤ 8

Answers

B. 9-5=4. That's it.

The fourth term of a sequence is 14. Each term of the sequence is 8 less than the previous term. Which recursive formula represents the situation?

Answers

[tex]a_4=14\\d=-8\\\\a_n=a_1+(n-1)d\\\\a_n=14+(n-1)\cdot(-8)\\\\a_n=14-8n+8\\\\a_n=22-8n[/tex]

Which expression is equivalent to square root 55x^7 y^6/11x^11 y^8? Assume x > 0 and y > 0.

Answers

The first step for solving this expression is to reduce the fraction with 11.
[tex] \sqrt{ \frac{5 x^{7} y^{6} }{ x^{11} y^{8} } } [/tex]
Now reduce the fraction with [tex] x^{7} [/tex].
[tex] \sqrt{ \frac{5 y^{6} }{ x^{4} y^{8} } } [/tex]
Reduce the fraction one more time with [tex] y^{6} [/tex].
[tex] \sqrt{ \frac{5}{ x^{4} y^{2} } } [/tex]
To take the root of a fraction,, we must take the root of the numerator and denominator separately. This rule will change the expression to the following:
[tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex]
Since we cannot simplify this fraction any further,, the final answer is going to be [tex] \frac{ \sqrt{5} }{ x^{2} y} [/tex].
Let me know if you have any further questions.
:)

Answer:

Basically the answer is C.

HELP ASAP
What are the coordinates of the vertices of the triangle after a dilation by a scale factor of
1
4
, centered at the origin?

U → U'
V → V'
W → W'

Answers

Answer:
U' = (-1,2)
V' = (2,2)
W' = (0,-2)

Explanation:
The given dilation factor is 1/4
This means that each coordinate point is multiplied by 1/4 to get its dilated image.

For point U:
Point U = (-4,8)
x coordinate of U' = 1/4 * x coordinate of U
x coordinate of U' = 1/4 * -4 = -1
y coordinate of U' = 1/4 * y coordinate of U
y coordinate of U' = 1/4 * 8 = 2
This means that: U' = (-1,2)

For point V:
Point V = (8,8)
x coordinate of V' = 1/4 * x coordinate of V
x coordinate of V' = 1/4 * 8 = 2
y coordinate of V' = 1/4 * y coordinate of V
y coordinate of V' = 1/4 * 8 = 2
This means that: V' = (2,2)

For point W:
Point W = (0,-8)
x coordinate of W' = 1/4 * x coordinate of W
x coordinate of W' = 1/4 * 0 = 0
y coordinate of W' = 1/4 * y coordinate of W
y coordinate of W' = 1/4 * -8 = -2
This means that: W' = (0,-2)

Hope this helps :)

The coordinates of a triangle's vertices after a dilation by a scale factor of 1/4, centered at the origin, are found by multiplying each of the original vertex coordinates by 1/4.

The coordinates of the vertices of the triangle after a dilation by a scale factor of 1/4, centered at the origin, can be found by multiplying the original coordinates of each vertex by 1/4. If the original coordinates are (x, y), then the coordinates after the dilation will be (x/4, y/4).

This applies to all vertices of the triangle, so the transformed triangle, denoted by U', V', and W', will have vertices with coordinates calculated by taking the original vertex coordinates of U, V, and W and scaling them down by a factor of 1/4.

The art museum will hang 3 famous paintings in a row. How many different ways could the paintings be hung?

Answers

the answer should be 6

There are six different ways to hang three unique paintings.

The question on how many different ways the paintings could be hung pertains to a mathematical concept known as permutations. Since there are three paintings and each one must occupy a unique position in the row, we need to calculate the number of permutations of three items. In permutations, the order matters, so the sequence ABC is different from ACB even though they contain the same paintings.

To solve this, we use the formula for permutations without repetition, which is n! (n factorial), where n is the number of items to arrange. For three paintings, this gives us:

3! = 3 × 2 × 1 = 6 different ways

Therefore, there are six different ways to hang the three paintings.

Find the approximate circumference of a circle with a radius of 2.6 millimeters. Use = 3.14.

Answers

The circumference would be 16.328 mm.
16.328 is the circumference... hope it helps


Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
the pictures in order are
a
b
c
d
and the last picture is a figure if an awnser is missing please tell me if that one is the correct one




Answers

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, [tex]\triangle EFA[/tex] and [tex]\triangle KFD[/tex] are similar triangles.

Because, [tex]\angle FAE= \angle FDK[/tex] and [tex]\angle FEA= \angle FKD[/tex] (because EA and KD are parallels. And, [tex]\angle F[/tex] is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

What is the smallest natural number that 2, 10, 14, and 36 will divide evenly?

Answers

Answer: 2

Written Answer: The smallest Natural number that 2, 10, 14, and 36 is divide evenly by is 2.

Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Answers

x = y - 3
2x + y = 12

substitute x = y - 3  into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
 y = 6

substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3

answer
x = 3 and y = 6

A circus acrobat is shot out of a cannon. The equation for the acrobat's pathway can be modeled by h= -16t^2+25. How long will it take him to reach the ground?

Answers

For this we almost have the following equation:
 [tex]h = -16t ^ 2 + 25 [/tex]
 We must match the equation to zero:
 [tex]-16t ^ 2 + 25 = 0 [/tex]
 From here, we clear the value of t.
 We have then:
 [tex]16t ^ 2 = 25 t ^ 2 = 25/16[/tex]
 We discard the negative root because we are looking for time:
 [tex]t = \sqrt{ \frac{25}{16} } [/tex]
 [tex]t = \frac{5}{4} [/tex]
 Answer:
 
it will take him to reach the ground about:
 
[tex]t = \frac{5}{4} [/tex] seconds

With a quick explanation please

Answers

[tex]\dfrac{40}{5x-2}=\dfrac{55}{6x+6}\ \ \ |\text{cross multiply}\\\\40(6x+6)=55(5x-2)\\\\240x+240=275x-110\ \ \ |-240\\\\240x=275x-350\ \ \ \ |-275x\\\\-35x=-350\ \ \ \ \ |:(-35)\\\\\boxed{x=10}[/tex]

Look at the picture.

Identify the type of sequence AND provide the next 3 terms:

5 , 9, 13, 17…


-1, 2, -4, 8…


8, 1, -6, -13…

Answers

21, 25,29

-16, 32, -64

not sure about the last one

A certain arithmetic sequence has the recursive formula an = an-1 + d. If the common difference between the terms of the sequence is -13, what term follows the term that has the value 13?

Answers

In an Arithmetic sequence, each term is obtained by adding the common difference in the previous term as shown in the recursive formula.

The common difference of the sequence is -13. This means, if we -13 to a term we'll obtain the next term.

If a term is 13, the term that will be next to 13 can be obtained by adding -13 to it.

So, 

13 + ( -13) = 13 - 13 = 0

Thus, the next term will be 0.

1. What is the median of the following set of numbers?
48.4, 47, 43, 47, 43.6, 41.6, 45, 51.4, 38.6

Hint: Order the numbers from least to greatest first!







A. 48.4 B. 43.6 C. 45
2. Each of the five math teachers are comparing the number of students in their homeroom classes. The number of boys and girls in each teachers’ classes are recorded in the table below.

Hint: Mean is the average.








Which statement best describes the means of the two sets of data?

A. The mean number of girls in 7 times greater than the mean numbers of boys in the homeroom classes.


B. The mean number of girls is the same as the mean number of bboys in the homeroom classes.

C. The mean number of girls is 7 more than the mean number of boys in the homeroom classes.





Answers

1. 38.6, 41.6, 43, 43.6, 45, (47), 47, 48.4, 51.4
The middle number (median) is 47.

2.The table is not displayed so will explain how you can solve the problem.
→ Mean is the average.  Find the sum and divide by the quantity of numbers you added to find the sum.

If you still need help with #2, upload the image of the table or type in the data.

Answer:b

Step-by-step explanation:divided look around the chart

Company A charges a $120 annual fee plus $7 per hour car share fee. Company B charges $100 plus $9 per hour. What is the minimum number of hours that a car share needs to be used per year to make company A a better deal?

Answers

Answer:

11

Step-by-step explanation:

Based on the density graph below, what is the probability of a value in the sample space being anywhere from 60 to 80?

A.50%
B.75%
C.100%
D.25%

Answers

**The missing graph is attached with the answer**
Ans: Option (D) 25%

Explanation:
In this case you need to find the area under the curve, which would essentially be the probability of a value in the sample space.

Now the range given is from 60 to 80; it contains the mini-triangle.

The area of the triangle = (1/2)*base*height

Since base = 80 - 60 = 20
Height = 0.025 - 0 = 0.025 (see in the graph)

Therefore
The area of the triangle = 1/4 = 0.25 which is essentially be the probability.

In percentage form, it is 25% (Option D)

Answer:

75%

Step-by-step explanation:

A card is being drawn from a standard deck of playing cards. Find each probability.
1.P(Jack or ten)
2.P(red or black)
3.P(queen or club)
4.P(red or ace)
5.P(diamond or black)
6.P(face card or spade)

Answers

These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) P(Jack or ten)


Answer: 2/13 ≈ 0.12


Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

 
iii) Probability, P


P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

2.P(red or black)


Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52


ii) Possible outcomes: 52 cards


iii) Probaility, P 

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

3.P(queen or club)


Answer: 4/13 ≈ 0.31

Justification:


i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16



ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31


4.P(red or ace)


Answer: 7 / 13 ≈ 0.54


Justification:


i) Positive outcomes

Half of the cards are red: 26

There are 4 aces. 

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

5.P(diamond or black)


Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.


All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42


Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22


ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42

please help type the integer that represents the correct answer the absolute value of 7

Answers

The answer is:  " 7 " .
________________________________________________________

Which expression is equivalent to .02m(n-5)-.02(m+10)

Answers

Removing parentheses.
Subtract 0.02m from -0.1m to get -0.12m

Answer is~ 
.02mn-0.12m-0.2

Answer:

thank you

Step-by-step explanation:

A group consists of five men and seven women. four people are selected to attend a conference.
a. in how many ways can four people be selected from this group of twelve​?
b. in how many ways can four women be selected from the seven ​women?
c. find the probability that the selected group will consist of all women.0

Answers

a.  That would be 12C4    = (12*11*10*9) / (4*3*2*1)  =   495 ways

b.   This is 7C4 = 7C3  = (7*6*5) / 6  = 35 ways

c.  This would come to 7C4 / 12C4  =  35/495 =  7/99

grant is rolling a standard six sided number die eight times. how many outcomes are possible

Answers

There are 1679616 possible outcomes.

There are 6 possible outcomes for each roll; 6^8 = 1679616

We have been given that Grant is rolling a standard six sided number die eight times and we have to find the total number of outcomes.

Grant is rolling six sided number die. Hence, we can say that

Number of outcomes if rolled once = 6

Number of outcomes if rolled twice = [tex]6\times 6= 6^2[/tex]

Number of outcomes if rolled thrice= [tex]6\times 6 \times 6= 6^3[/tex]

We can see that if rolled twice then we have exponent 2, when rolled trice then we have an exponent 3.

Hence, if rolled 8 times then we have an exponent 8 on 6.

Therefore, the possible number of outcomes should be [tex]6^8= 1679616[/tex]

Hence, the number of possible outcomes is 1679616

What is the vertex form, f(x) = a(x − h)2 + k, for a parabola that passes through the point (4, −3) and has (5, 2) as its vertex. What is the standard form of the equation?

Answers

[tex](h;\ k)\ -\ \text{the coordinates of the vertex}[/tex]

[tex]\text{therefore we have:}\ f(x)=a(x-5)^2+2[/tex]

[tex]\text{a parabola that passes through the point (4, −3)}[/tex]

[tex]\text{substitute the coordinates of the point (4;-3) to the equation:}[/tex]

[tex](4;-3)\to x=4;\ y=-3\\\\-3=a(4-5)^2+2\\\\-3=a(-1)^2+2\\\\-3=a+2\ \ \ |-2\\\\a=-5[/tex]

[tex]f(x)=-5(x-5)^2+2=-5(x^2-2\cdot x\cdot5+5^2)+2=-5(x^2-10x+25)+2\\\\=-5x^2+50x-125+2=-5x^2+50x-123[/tex]

Answer:

y = x² - 10x + 27

Step-by-step explanation:

Tim bought 5 pencils for .25 cents each. he also bought 2 packs of paper for $1.25 each. he paid with a $10.00 bill. how much change could tim receive

Answers

Tim should receive $6.25.

.25 • 5 = 1.25

1.25 • 2 = 2.50

2.50 + 1.25 = 3.75

10 - 3.75 = 6.25
Other Questions
The spinning wheel became a symbol of national pride because _____.A. it represented the idea of Indias economic independenceB. the Indians were the first people to use spinning wheelsC. it represented an important ancient religious figureD. the Indians refused to buy British spinning wheelsI think that it's A but I just want to make sure The Treaty of _______ ended the war of 1812. A. Versailles B. Paris C. Ghent D. Yorktown Which one of these examples best reflects the role that students' sense of self typically plays in their achievement and school behavior? melissa thinks of herself as physically fit, so she doesn't think she needs to participate in sports or other physical activities. kim doesn't want to take any more math classes because she knows she's already good at math. nettie doesn't think she is very popular, so she smiles at others and tries to talk to them so they will like her. linda knows she is a good reader, so she takes an advanced literature class as an elective? How does the symbol of the sheep affect the story in The Alchemist? Select each correct answer. A- The sheep represent those who choose not to follow their ultimate purpose. B-The sheep motivate Santiago to take a risk and pursue his Personal Legend. C- The sheep connect Santiago to home by reminding him of his responsibilities. D-The sheep hold Santiago back and keep him from realizing his Personal Legend. Suppose you cut a small square from a square of fabric as shown in the diagram. Write an expression for the remaining shaded area. Factor the expression. Type your answer below. How does the constitution distribute power?a. it focuses most of the government's power in the president, who is checked by the other branches.b. it divides the central government into three branches and shares power with the state governments.c. it limits the power of the executive branch in favor of the legislative branch and the individual states.d. it grants the majority of government power to the state governments, who select the representatives? Henry VIII is credited with creating the ________________. a. Anglican Church in Europe c. The Anglican Church in England b. The Franciscan Church in Europe d. The Republican Church in England draw an angle measuring 700 degrees in standard position. Space ships have given scientists important information about mercury, venus and mars true or false. Algebra question ( Matrices and Determinants ) 20 points The ________ holds the only legislative office mandated by the constitution Jonathan Swift's novel Gulliver's Travels is a satire on politics and the foolishness of society. In this excerpt, Swift talks about the behavior of political hopefuls in the imaginary kingdom of Lilliput. Which parts of the excerpt bring out its satiric tone? 1"wherein they exceed all nations i have known, both for dexterity and madnificence" 2"i was diverted with none so much as that of the rope-dancers, performed upon a slender white thread, extended about two feet, and twelve inches from the ground"3"They are trained in this art from their youth, and are not always of noble birth, or liberal education. When a great office is vacant, either by death or disgrace (which often happens) five or six of those candidates petition the emperor to entertain his majesty and the court with a dance on the rope; and whoever jumps the highest, without falling, succeeds in the office. Very often the chief ministers themselves are commanded to show their skill, and to convince the emperor that they have not lost their faculty"4"i have seen him do the summerset several times together, upon a trencher fixed on a rope which is no thicker than a common packthread in England"5"My friend Reldresal, principal Secretary for private affairs, in, in my opinion, if I am not partial, the second after the treasurer; the rest of the great officers are much upon a par"answer: 1, 3, 5 Shelby's therapist gives her unconditional positive regard and uses active listening to move shelby toward self-actualization. it is likely that shelby is seeing a _____ therapist. What colors of visible light do green plant leave absorb the most Three out of four student surveyed in a school said they will vote for nuncio for class president. Predict how many of the 340 students in the school would vote for nuncio? Justin collected data from his classmates on the type of condiment they prefer on their sandwich. Based on the data collected, if one hundred boys and one hundred girls are given a sandwich of their choice which statement is true? 9) Boy Girl Mayonnaise 12 14 Mustard 18 13 Plain 5 15 Which expression is equivalent to x+2+ [4x - x2+6x+8\x+4] what is 68 less than 5 times a number is equal to the number? J. J. ThomsonA) Electrons are in orbital levels.John DaltonB) Atoms are the smallest unit of an element.Ernest RutherfordC) Electrons are scattered within the atom.Niels BohrD) Protons are at the center of an atom. Simplify the given polynomial expressions, and determine the degree and number of terms in each expression.