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
Ilia_Sergeevich [38]
3 years ago
15

a pair of adjacent side of a rectangle are in the ratio 3 : 4 if its diagonal is 20 cm find the length of sides and hence the pe

rimeter of the rectangle ​
Mathematics
1 answer:
lutik1710 [3]3 years ago
7 0

Answer:

Step-by-step explanation:

Ratio=3:4

so,the pair of adjacent sides are 3x,4x

Pythagorean theorem,

(3x)^{2}+(4x)^{2}=20^{2}\\9x^{2}+16x^{2}=400\\\\25x^{2}=400\\\\x^{2}=\frac{400}{25}\\\\ x^{2}=16\\\\x=\sqrt{16}\\\\x=4\\\\length=4x=4*4=16cm\\\\breadth=3x=3*4=12cm\\\\Perimeter=2*(l+b)\\\\=2*(16+12)=2*28\\\\=56cm

You might be interested in
How to solve n²-10n+22=-2
Aliun [14]
It's almost solved. Just move the -2 to the other side.
n^2-10n+22=-2
n^2-10n+24 done!
7 0
3 years ago
I need help with this plz
Alisiya [41]

Answer:Mmm

Step-by-step explanation:

I am doing the work I will thell you the answer

5 0
2 years ago
A rectangle is shown with length x plus 10 and width 2 x plus 5. The inside of the rectangle is shaded other than an unshaded sq
klio [65]

Answer:

Step-by-step explanation:

A rectangle is shown with length x plus 10 and width 2 x plus 5.

so the rectangle area = length * width

= (x + 10) * (2x + 5)

an unshaded square with length x plus 1 and width x plus 1

so the unshaded square area = (x + 1) * (x + 1)

the shaded area = rectangle area - square area

= (x + 10) * (2x + 5) - (x + 1) * (x + 1)

= (2x^2 + 20x + 5x + 50) - (x^2 + x + x + 1)

= x^2 + 23x + 49

3 0
3 years ago
Read 2 more answers
A rectangular yoga mat has a perimeter of 179 inches. The width of the mat is eight less than half the length. Find the width, i
lianna [129]

Answer:

The width is 24.5in

Step-by-step explanation:

The perimeter of the rectangular yoga mat can be found using the formula;

P=2l+2w.

\Rightarrow 179=2l+2w...(1).

It was given that the width of the mat is eight less than half the length.

w=\frac{1}{2}l-8...(2)

We put equation (2) into equation (1) to get;

179=2l+2(\frac{1}{2}l-8).

\Rightarrow 179=2l+l-16.

\Rightarrow 179+16=2l+l.

\Rightarrow 3l=195

Divide both sides by 3;

l=65

We put l=65 into equation 2 to get;

w=\frac{1}{2}\times65-8

w=32.5-8

w=24.5in

4 0
3 years ago
A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, we stop. If no
Airida [17]

Answer:

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

Step-by-step explanation:

Observe that in the single trial, we have (8 4) possibilities of choosing our set of balls. If we have chosen two white balls and two black balls, the probability of doing that is simply  

p=(4 2)*(4 2)/(8 4)

This is well know Hyper geometric distribution. Now, define random variable X that marks the number of trials that have been needed to obtain the right combination (two white and two black balls). From the nature of the problem, observe that X has Geometric distribution with parameter p that has been calculated above. Hence  

P(X = n) = (1— p)^n-1 *( p )

<em>Find the probability of success in a single trial and then think about the nature of the problem (when do we stop).  </em>

3 0
3 years ago
Other questions:
  • Indeed help with this plz
    12·2 answers
  • #1 what is 8.47+5.079 #2 what is 435,647 in expanded form
    5·1 answer
  • The formula for calculating commission is?
    10·2 answers
  • Tyler went to the State spelling bee. His school gave him $50 for travel and $30 A day for his meals. Tyler was given a total of
    12·1 answer
  • Talya wanted to hit 20 homeruns this season. She ended up hitting 150% of her goal. How many homeruns did Talya hit this season?
    12·2 answers
  • 11020+12 In base 3 <br><br> pls help
    8·2 answers
  • Add −1.25+2.5<br><br> Plot the first addend and the sum on the number.<br> Please tell the explain
    14·1 answer
  • Find the value of x in the triangle
    12·2 answers
  • Consider the following graph.
    7·1 answer
  • What is the difference?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!