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
NikAS [45]
2 years ago
14

What is the perimeter of the figure​

Mathematics
1 answer:
Natalija [7]2 years ago
7 0

Answer:

The perimeter of the figure is 111.46 units

Step-by-step explanation:

Given:

RS = 43

LS = 18√2

A right Triangle is attached to a Rectangle.

A right Triangle is having measure angle 45° , 90°

and Hypotenuse = 18√2

∴ The Third Angle measure will also be 45° {angles Sum property of a triangle}

∴ the right angled triangle is an Isosceles triangle.

∴ Two sides are equal  LT = TS

To Find:

Perimeter of figure = ?

Solution:

we have

\sin 45 = \frac{\textrm{side opposite to angle 45}}{Hypotenuse}\\

we Know sin 45 = 1/√2

∴ \frac{1}{\sqrt{2} }= \frac{LT}{18\sqrt{2}}\\\\\therefore LT = 18\ unit\\\\\therefore TS = 18\ unit\\

Now ,

ARTL  is a Rectangle

∴ opposite side of a rectangle are equal

∴ LT = AR = 18 unit

and AL = RT

But,

RT = RS - TS

   = 43 - 18

   25

∴ AL = RT = 25

∴ Perimeter of figure = AL + LS + RS + AR

                                   = 25 + 18√2 + 43 + 18

                                   = 86 + 18√2

                                   = 111.455

                                   = 111.46 units

∴ Perimeter of figure = 111.46 units

You might be interested in
$10.94 5% sales tax how much is the total
Dmitrij [34]
Find 5 percent of 10.94, which is .55. Since it is sales tax add .55 to 10.94 You get 11.49! Hope this helps
3 0
3 years ago
Read 2 more answers
Use words to explain how to multiply (33)(34).
Setler [38]

Answer:

The answer is 1122.

Step-by-step explanation:

First, multiply 34 by 3. That gives you 102.

Then multiply 34 by 3 again. But when you're writing this down in calculations, put a zero in the ones column then write your answer. (I'll show an example of what this looks like at the bottom.

Then, add your answers and you'll have your answer...

Click on the link.

4 0
2 years ago
HELP PLEASE DUE IN 3 MINUTES
lapo4ka [179]

Answer:

155

Step-by-step explanation:

6 0
2 years ago
There are big spenders among University of Alabama football season ticket holders. This data set Roll Tide!! shows the dollar am
Bas_tet [7]

Using the z-distribution, as we have a proportion, the 95% confidence interval is (0.2316, 0.3112).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

We also consider that 130 out of the 479 season ticket holders spent $1000 or more at the previous two home football games, hence:

n = 479, \pi = \frac{130}{479} = 0.2714

Hence the bounds of the interval are found as follows:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 - 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.2316

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2714 + 1.96\sqrt{\frac{0.2714(0.7286)}{479}} = 0.3112

The 95% confidence interval is (0.2316, 0.3112).

More can be learned about the z-distribution at brainly.com/question/25890103

7 0
2 years ago
Aiden borrows a book from a public library. He read a few pages on day one. On day two, he reads twice the number of pages than
Fofino [41]

Let the number of pages read on day 1 be = x

Then on day 2 he read twice the pages from day one, it is = 2x

On 3rd day he read 6 pages less than 1st day, it is = x-6

Total pages are = 458

The equation becomes: x+2x+x-6=458

4x-6=458

4x=464

x=116

So on the third day, Aiden read x-6=116-6=110 pages.

5 0
3 years ago
Other questions:
  • How did newton know that 1%of 80 is 0.8
    10·1 answer
  • What the correct answer fast
    14·1 answer
  • What is the equation of a line that passes through (0,-2) and has a slope of 0
    14·2 answers
  • <img src="https://tex.z-dn.net/?f=x%20%2B%2018%20%2B%20%20-%2015%20%3D%20109" id="TexFormula1" title="x + 18 + - 15 = 109" alt=
    5·1 answer
  • A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than
    6·1 answer
  • "if a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1.8"
    12·1 answer
  • Using the quadratic formula to solve for x^2=5x-x, what are the values of x?
    8·2 answers
  • the perimeter of a rectangle field is 118m. if the length of the rectangle is 7m less than twice the width what is the length​
    12·2 answers
  • What is the product of 14,560 times 10 and explain the number of zeros
    6·2 answers
  • 7c4/7p4 evaluate the expression. 7c4 is for combination ; 7p4 is for permutation
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!