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zubka84 [21]
2 years ago
8

The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides

Mathematics
1 answer:
Ipatiy [6.2K]2 years ago
3 0

Answer:

  8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

  P = 2(L +W)

  P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

  similar perimeter/original perimeter = 40/70 = 4/7

__

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

  (14)(4/7) = 8

  (21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

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Find the largest prime divisor of 76^2 − 1.
saveliy_v [14]

Answer:

11

Step-by-step explanation:

This is a difference of squares and therefore can be written as (76-1)(76+1)=(75)(77).

So lets look at the factors....

75=3(25)=3(5)(5)

77=7(11)

The biggest prime factor is therefore 11.

Identities used:

Difference of squares a^2-b^2=(a-b)(a+b)

3 0
2 years ago
Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 then how many of each
Tpy6a [65]
Hi there!!

First, Let plain shirts be x
Let fancy shirts be y 
x + y = 7
15x + 28y = 131 
Multiply first equation by 28 to eliminate y: 
28x + 28y = 196
<span>15x + 28y = 131 
</span>Subtracting the two equations:
13x = 65
<span>x = 5 </span>
Substituting x to get y:
x + y = 7
5 + y = 7
<span>y = 2 </span>
<span>Answer: 5 plain shirts and 2 fancy shirts
</span>
Hope this helps u!!
Have an amazing rest of ur day:)))
3 0
2 years ago
How could you find the area of the pink title? Choose all that apply. <br><br>​
DaniilM [7]
By using green to find the pink locate all the ponies
3 0
2 years ago
Which binomial is a factor of 12x^2 - x - 20
stellarik [79]

Answer:

12x² - x - 20 = (4x+5)(3x−4)

3 0
2 years ago
The town of madison has a population of 25,000. The population is increasing by a factor of 1.12 each year. Write a function tha
GaryK [48]
<h3>The population P(t) at the end of year t is   P(t)   = 25,000 \times (1.12)^t</h3>

Step-by-step explanation:

The initial population of town of Madison = 25,000

The rate at which the population is increasing = 1.12 times

So, the increase in population first year  :

( the initial population)  x (1.12)^1  = 1.12 x ( 25,000)  

= 28,000

So, the population at the end of first year = 28,000

Similarly, the increase in population second year  :

( the initial population)  x (1.12)²  =  ( 25,000)   x (1.12)²

= 31,360

So, the population at the end of second year =31,360

Now, to calculate the population in t years from now:

The population P(t) at the end of year t is

P(t)   = 25,000 \times (1.12)^t

5 0
2 years ago
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