1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergey [27]
3 years ago
7

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

Mathematics
2 answers:
disa [49]3 years ago
8 0
Imagine the diagonal of a rectangle being the split between two triangles. you are trying to find the longest side of the triangle, which is the "diagonal" of the rectangle.

to find the length of a side of a triangle, use the Pythagorean theorem. it is : a^2 + b^2 = c^2

so... plug in your data like this...

15^2 + 12^2= c^2.

225 + 144 = the square root of 369.

that is rounded to 19.2

this is just how I would solve this problem, if I helped you out please just let me know by voting me brainliest! :)
Nezavi [6.7K]3 years ago
5 0
Assuming that the legnths given ae th sides o the room and th room is a recagnel

the diagonal makes 2 right triangles
pythagorean theorem
a^2+b^2=c^2
a and b are legs
c=hypotonuse

in this case
legnth and width are te legs and the diagonal is the hyptonuse

15^2+12^2=c^2
225+144=c^2
369=c^2
square root both sides
3√41ft=c
You might be interested in
Multiply rational numbers -6/11•3/4 simplest form
soldi70 [24.7K]
-6*3 =-18

11*4=44

-18/44. Reduce. Divide top and bottom by 2

-9/22
5 0
3 years ago
Hyun Woo is riding a ferris wheel. H t H(t) models his height (in m m) above the ground, t t seconds after the ride starts. Here
worty [1.4K]

Answer:

<u></u>

  • <u>53 seconds.</u>

Explanation:

The text and the model are garbled.

This is the question amended:

<em />

<em>Hyun Woo is riding a ferris wheel. H(t) models his height (in m) above the ground, t seconds after the ride starts. Here, t is entered in radians.</em>

<em>H(t) = -10 cos(2π/150 t)+10</em>

<em />

<em>When does Hyun Woo first reach a height of 16 m?</em>

<em />

<h2>Solution</h2>

<em />

When <em>Hyun Woo reaches a height of 16 m</em> the <em>model </em>states:

  • <em>16 = -10 cos(2π/150 t)+10</em>

<em />

Then you must find the lowest positive value of t that is a solution of the equation.

Solve the equation:

  • <em>16 = -10 cos(2π/150 t)+10</em>

  • 10cos(2π/150 t) = - 6

  • cos(2π/150t) = -0.6

  • 2π/150t = arccos(-0.6)

  • 2π/150t = 2.214297

  • t = 52.86s ≈ 53 s ← answer
4 0
3 years ago
A car goes 125 miles on 12 1/2 gallons of gas. How far will the car travel on 1 gallon of gas?
fgiga [73]

Answer:

10

Step-by-step explanation:

125/12.5

5 0
3 years ago
Type the correct answer in the box. Round your answer to two decimal places.
Vlad [161]
Find the square root of 13, which is 3.6

5 0
3 years ago
Read 2 more answers
At a fabric store, the probability that a customer buys thread is 0.15. The probability that a customer buys a needle given that
Sveta_85 [38]

Answer:

The correct statement is:

C. Buying a needle and buying a thread are dependent events.

Explanation:

The first statement is incorrect because the given events are dependent on each other because the probability that a customer buys a needle given that the customer buys thread is 0.25.

The second statement is incorrect because we cannot say all those who buy a thread also buy a needle.

The fourth statement is incorrect because the probability that a customer buys a needle and thread is 0.25 \times 0.15=0.0375



8 0
3 years ago
Other questions:
  • An 8% sales tax is applied to a $300 purchase in Texas. What is the total price with tax
    6·2 answers
  • 9. Lula bought new furniture on her credit card for $993. If she pays it off in 6 months there will be no interest on her purcha
    7·1 answer
  • Find the sum of a finite geometric sequence from n = 1 to n = 7, using the expression −4(6)^n − 1.
    10·2 answers
  • Please solve <br> 11x-99=201-x
    5·2 answers
  • Maria found that about 3/4 of the students in her class take the bus to school. What percent of the students in her class take t
    7·2 answers
  • What property is shown in the equation 7x divided by 1 = 7x
    8·1 answer
  • Please help asap,the first person will get the brianlist plz,answer all of the 5 questions
    6·2 answers
  • Your cellphone plan is by the minute . Each minute of use costs $0.10 . Create a relation that represents the amount spent ,A, p
    13·1 answer
  • HELP MATH ASAP IF YOU PUT IN A RANDOM ANSWER YOU WILL BE REPORTED TYSM!
    14·2 answers
  • Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net earnings and rec
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!