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]
3 years ago
14

What is the perimeter of the figure​

Mathematics
1 answer:
Natalija [7]3 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
Which of the following demonstrates the Distributive Property?
Nata [24]
4(2a+3) = 8a+ 12 This represents the distribution property because it multiplies everything in the parentheses. 4 X 2a = 8a 4X3=12
4 0
3 years ago
Read 2 more answers
A candy bar box is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters part A: what is the height
Whitepunk [10]
The volume of a triangular prism is the "area of a triangle" times the "thickness."
The area of a triangle is (base times height) over 2.
V = ((b*h)/2)*T
Given V = 2400 cu. cm, b = 16 cm, T = 20 cm, and h is unknown,
h = (2V)/(bL) = (2*2400)/(16*20) = 15 cm

Note that the given 17 cm in the picture is useless.
3 0
3 years ago
How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate? how many years
Simora [160]

Answer:

Total interest will $1800 after 5 years.

Step-by-step explanation:

It is given that the principle amount is $6000.

Rate of interest rate is 6% per annum.

Total interest is $1800.

Formula for simple interest is

I=\frac{P\times r\times t}{100}

Where, P is principle, r is rate of interest in percent and t is time in years.

Substitute P=6000, r=6 and I=1800 in the above formula.

1800=\frac{6000\times 6\times t}{100}

1800=\frac{36000t}{100}

1800=360t

Divide both sides by 360.

\frac{1800}{360}=t

5=t

Therefore the total interest will $1800 after 5 years.

3 0
3 years ago
Read 2 more answers
Consider the function f(x) = (x − 3)2(x + 2)2(x − 1). The zero has a multiplicity of 1. The zero −2 has a multiplicity of?
Gnom [1K]
The -2 has a multiplicity of 2

Since the order of (x+2) is squared, i.e. power is 2
8 0
3 years ago
Read 2 more answers
What kind of sequence is the pattern 1, 6, 7, 13, 20, ...?
AlexFokin [52]

Answer:

The given sequence 6, 7, 13, 20, ... is a recursive sequence

Step-by-step explanation:

As the given sequence is

6, 7, 13, 20, ...

  • It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.

As

d = 7-6=1,  d = 13-7=6

As d is not same. Hence, it cannot be an arithmetic sequence.

  • It also cannot be a geometrical sequence and exponential sequence.

It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.

As

r = 7-6=1,  r = 13-7=6

r = \frac{7}{6},  r = \frac{13}{7}

As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.

So, if we carefully observe, we can determine that:

  • The given sequence 6, 7, 13, 20, ... is a recursive sequence.

Please have a close look that each term is being created by adding the preceding two terms.

For example, the sequence is generated by starting from 1.

     {\displaystyle F_{1}=1

and

     {\displaystyle F_{n}=F_{n-1}+F_{n-2}}

for n > 1.

<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>

<em>Learn more about sequence from brainly.com/question/10986621</em>

<em>#learnwithBrainly</em>

6 0
3 years ago
Other questions:
  • (4x5 + 7x4 + 36x + 63) = (4x + 7)
    9·1 answer
  • Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
    13·1 answer
  • Focus (-3,3) vertex (0,3). What is the equation for the parabla
    14·1 answer
  • According to a recent​ survey, the population distribution of number of years of education for​ self-employed individuals in a c
    6·1 answer
  • Which number line represents the solution set for the inequality –1/2x ≥ 4?
    8·2 answers
  • What does x= but it has to equal 10​
    12·1 answer
  • Please help............
    9·1 answer
  • 이게워야? What is that? Tell me now!!!
    7·2 answers
  • What is the solution of the system of inequalities y&gt;x^2+6x+10 y&lt;-x^2-8x-14
    6·1 answer
  • Complete each statement so it will result in the truth value F.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!