The floor of a rectangular living room is 12 feet by 16 feet. What is the distance between
opposite corners of the living room?

Answers

Answer 1

Answer:

The width of Dana's living room is 16 feet.

Explanation:

Because Dana's living room is rectangular and we are given the length of one side and the length of the diagonal we can use the Pythagorean Theorem to solve this problem.

For a right triangle which the length, width and diagonal make up the Pythagorean Theorem states:

a

2

+

b

2

=

c

2

Let the length of 12 be

a

and because the diagonal is the hypotenuse of the triangle (the side opposite the right angle) we let

c

be 20. Substituting and solving gives:

12

2

+

b

2

=

20

2

144

+

b

2

=

400

144

144

+

b

2

=

400

144

0

+

b

2

=

256

b

2

=

256

b

2

=

256

b

=

16


Related Questions

HELP PLS ASAP PLSSSSSs

Answers

Answer:

6 companies.

Step-by-step explanation:

[When you read a stem and leaf plot, the lowest number in the stem category, like 3 for example, would be in the tens place. The numbers in the leaf category are the ones places.]

"At least" tells you that anything equal to or higher the number given is relevant to the question. If we count the amount of numbers that are 63 or over, we have:

63, 69, 70, 73, 76, 78.

These are 6 numbers.

Your answer would be 6 companies.

What number is this? 5⋅10.2+3

Answers

Answer:

5×10.2+3

=51+3

=54

hope it helps!!

Plllsss help really easy points points points

Answers

Answer:21

Step-by-step explanation: you multiply f times x to equal 21

Help pls thank you!!!!!!

Answers

Answer:

relative minimum would be your awnser

Answer:

Second one :)

Step-by-step explanation:

What he/she said

x - 62 = 123
How should you show your work to isolate the variable and solve the equation?

Answers

Answer:subtract 72 from the sides

Step-by-step explanation: just because I did it in a quiz got it right

A supplementary angle has three angles one being 44.4 another being 7x and another is 8x. I'm having a hard time.

Answers

Answer:

x= 9.04°

7x = 63.28°

8x = 72.32

44.4° + 63.28° + 72.32° = 180°

Step-by-step explanation:

The sum of supplementary angles is 180°

Set up an equation with the given information, then solve for x.

44.4 + 7x + 8x = 180

7x +8x = 180-44.4

15x = 135.6 Divide both sides by 15

x = 9.04

Substitute for x and multiply by 7, then 8 to find the measures of the unknown angles.

A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?

Answers

Answer:

$33

Step-by-step explanation:

A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start?

Let us represent, the amount of money he had at the start= x

Money after the first race=2x

Money he had after betting=2x-33

Money after the second race=3x

Money he had after betting on the third race=3x-60

Money after the race=4x

Money he had after betting on the fourth race=4x-68

Money after the race=$64

4x-68=64

4x=68+ 64

4x = 132

x=132/4

x = 33

Therefore, he had $33 at the start

Granny Jane's famous cookie recipe calls for 6 cups of chocolate chips and makes 30 cookies. How many cups of chocolate chips will be needed if the recipe is quadrupled?​

Answers

Answer:

c

Step-by-step explanation:

it is right

What is the simplest form of of this expression?

Answers

Answer:

B

Step-by-step explanation:

for which value of k is the set of orders pairs (2,4),(k,6),(4,0) a function?​

Answers

Answer:

ANSWER:

{(2,4),( 3, 6),(4, 8)}  is a function

Given a relation in x and y, we say y is a function of x if for each element x in the domain, there is exactly one value of y in the range.  It is a rule of correspondence between two nonempty sets, such that, to each element of the first is called domain, there correspondents one and only one element of the second is called range.  

To determine whether it is function or not by using the vertical line test. If the graph passed to Vertical line test it is consider as function. The graph of function defines y as a function of x if no vertical line intersects the graph in more than one point.  

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates for example ( -1, 2), ( 1, 0), (2, 1) . The second example is not a function, because it contains the ordered pairs (1,2) and (1,4). the first set is repeated . These have the same first coordinate and different second coordinates.  

The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.

HELPPPPPP PLEASE !! I appreciate it

Answers

Helppppppp PLEASE !! I appreciate it

The awnser would be 30.


Heart & comment

5.) Forty percent of the students at Pinecrest Middle School have a school
sweatshirt. There are 560 students at the school. How many students have
a school sweatshirt? *
PLSS HELP

Answers

224 students have a sweatshirt.

the answer is 40 .....

HELP ME PLEASE ITS MATH

Answers

Answer:

the answer is C because all you need to do is just count how many there are

Step-by-step explanation:

Answer:

D. 5 units

Step-by-step explanation:

Using the pythagorean theorem:

[tex]a^2 + b^2 = c^2\\a = 3\\b=4\\3^2 + 4^2 = c^2\\9 + 16 = c^2\\25 = c^2\\c= 5[/tex]

Here's a picture of what this looks like and a deeper explanation:

Need help on this question for math

Answers

Answer:

y=-7

Step-by-step explanation:

hope that will help you

Sarah is planning for a children's party. She wants to provide each child with a party bag containing 3 items, a whistle, a ball and a tube of sweets. Whistles are sold in packs of 5, balls in packs of 3 and sweets in packs of 6, she doesn't want any single items left over, even if it means she has too many party bags. What are the minimum party bags she can make and how many packs of each item does she need to buy?

Answers

w, b, s are the packs of whistles, balls, sweets, respectively.

Which of these functions is not a linear function? Why?
f(x)=x-x
f(x)=3x
f(x)=x3
f(x)=23x-2
how am i supposed to know-

Answers

Answer:

f(x)=x3

Step-by-step explanation:

If you meant f(x)=x3 by f(x)=x^3 then that would be a cubic equation and not linear?

Choose the correct symbol to fill in the blank: 55.56 ___ 55.65 *
is it
>
<
=

Answers

Answer: 55.56 < 55.65

Step-by-step explanation:

The tenth place is bigger than the other number, and since the whole number is the same, then it would be the less than sign

Answer:

<

Step-by-step explanation:

the number on the right is more than the number on the left so the open part will be on the right

thanks for points have a blessed day :)

Construct a linear function that has a slope of -3 and passes through the point (−2,3)

Answers

Answer:

f(x) = -3x - 3

Step-by-step explanation:

you can use the point-slope form to help you.  

[tex]y - y_{1} = m (x - x_{1} )[/tex]     m = slope   and  [tex](x_{1} , y_{1}) = (-2, 3)[/tex]

So,  y - 3 = -3(x + 2)

y - 3 = -3x - 6

y = -3x - 3    or f(x) = -3x - 3

[tex]f(x) = -3x - 3[/tex]You can use the standard form y = mx + c to build that linear relationship.

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Given that:The line has slope of -3The line passes through (-2,3)To find:

The linear function

Relation between linear function and straight line:

A linear function of two variables is always an equation of a straight line and can be converted into standard form y = mx + c (assuming m and c to be finite constants and x and y are variables).

m denotes slope of this line and c denotes intercept on y axis by this line.

If linear function is not of two variables, then we can take the output f(x) as value of second variable.

Since the slope is already given, thus, we have the equation as:

y = -3x + c

Now, since the line passes through (-2,3), thus it must satisfy the equation since the point is member of the family of points who constitute this line(and since the equation shows family of such points, thus the point should satisfy the equation).

Thus,

[tex]y = -3x +c|{(x,y) = (-2,3)}\\ 3 = -3 \times -2 + c\\ 3 = 6 + c\\ c = 3 - 6\\ c = -3[/tex]

Thus, we have the equation of the straight line in consideration as:

y = -3x -3

y is function of x, thus can be rewritten as  [tex]f(x) = -3x -3[/tex] (assuming f doesn't represent any other function as we can't use used symbols in a context to prevent ambiguity)

Thus, the needed linear function is: [tex]f(x) = -3x -3[/tex]

Learn more about equation of straight line here:

https://brainly.com/question/19380936

т
-2 >
- 7
6
what’s the solution??

Answers

Answer:

t/7=6 We simplify the equation to the form, which is simple to understand t/7=6 Simplifying: + 0.142857142857t=6

Step-by-step explanation:

hope this helps !!

Math can anyone help me

Answers

Answer:

C. [tex]\frac{4}{10}[/tex] and [tex]\frac{10}{25}[/tex]

Step-by-step explanation:

The proportion between these fractions is true. Multiply 4/10 (numerator and denominator) by 2.5 to get 10/25. This is the only correct option.

Hope it helps!

5 of 5
How many match sticks will there be in the 5th picture?
1st
2nd
3rd

Answers

Answer:

[tex]here \: is \: no \: picture \\ \\ we \: cannot \: see \: picture[/tex]

We can’t see nothing

HELP PLSSS DUE IN 30 MINS

2. In the figure below, NP is the perpendicular bisector of LM. Which of the following statements cannot be
concluded based on this given?

Answers

Answer should be four

at a local gym you can either pay $90 for a monthly pass then pay $4 each time you go to the gym or you can pay $13 each time you go with no monthly pass fee for how many visits to the gym in a month is the cost of the two options the same?​

Answers

Answer:

10

Step-by-step explanation:

HELP HELP HELP HELP HELP HELP

Answers

10 root 2
10^2 + 10^2 = 200
200 is 10 root 2

what is the surface area of this cylinder ( rounded to nearest tenth)​

Answers

Answer:

Step-62.8m^2

Step-by-step explanation:

Surface area of a cylinder =  

r = 2m, h = 3m

= 62.83185

Match, each of the given measures to the correct side or angle 11, 7.5, 13

Answers

we need a picture :)

please help me beg u .

Answers

Answer:

it is -1/2

Step-by-step explanation:

8/t; t=4 rkrrkrkkrkrkrkrkr

Answers

Answer:

yes 12

Step-by-step explanation:

beeeppppppp

2x + y <-6
Graph the inequality above

Answers

Answer:

y<-6-2x

Step-by-step explanation:

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.


948 628 87 4,987 938 468 3,589 298 2,459 2,286

Based on this sample, how many of the MP3 players might the clerk predict would be defective?

The manager would expect
defective players in the shipment.

Answers

Answer:

A store receives a shipment of 5,000 MP3 players. In a previous shipment of 5,000 MP3 players, 300 were defective. A store clerk generates random numbers to simulate a random sample of this shipment. The clerk lets the numbers 1 through 300 represent defective MP3 players, and the numbers 301 through 5,000 represent working MP3 players. The results are given.

948 628 87 4,987 938 468 3,589 298 2,459 2,286

Based on this sample, how many of the MP3 players might the clerk predict would be defective?

The manager would expect

defective players in the shipment.

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A professional gambler reported that at the end of the first race at the track he had doubled his money. He bet $33 on the second race and tripled the money he came with. He bet $60 on the third race and quadrupled his original bankroll. He bet $68 on the fourth race and lost it, but still had $64 left. With how much money did he start? pls help me to get answersmake sentence:1. challenge -2. task -3. pleasure -4. starving - the chapter is Birbal s' wit Explain how the ocean affects human life through medicine, nutrition and the economy? What happens to the moon every month? Science Match, each of the given measures to the correct side or angle 11, 7.5, 13 -20 greater than or equal to 5wHurry!!! Warum versucht meine Mutter mein Leben zu ruinieren? How does environmental changes affect animals? Plz help I can't get this! Source 1: A study by Consumer Awareness found that a candy bar that costs 69 at a grocery store costs $2.00 at a movie theater concession stand. Source 2: Royal Cinema Group reports that moviegoers normally buy much larger buckets of popcorn than they eat during a movie and most of it gets thrown away Which option best combines the two sources into a single detail sentence? A. Some people think they can eat a large bucket of popcorn but then realize they can't. B. People spend more money on candy bars at movie theaters than at grocery stores C. Theaters charge top prices for snacks you might not even eat. D. You can save money by popping your own popcorn at home and bringing it to the theater. what exercise did isaiah thomas performed Please help Will give brainlst Which set of words best completes the sentence?The coach asked, butdidn't knowcleats had been left inoffice.A. We, whose, hisB. they, its, whomC. us, which, yourD. I, who, her idea de emprendimiento que desarrollamos con el dinero que ahorraste Complete these descriptions.Follow the model and remember to make any necessary agreements Construct a linear function that has a slope of -3 and passes through the point (2,3) A store bought a camera for $300 and sold it for $714. What was the markup percentage? 100 POINTS- What are some examples of mood in the outsiders? Heyy plsss helppp its important!!! Which of these functions is not a linear function? Why?f(x)=x-xf(x)=3xf(x)=x3f(x)=23x-2 how am i supposed to know- The bus is heading southwest at 56 miles per hour is it veloctiy or speed