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
bezimeni [28]
3 years ago
11

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

ntities? a=2 cm
i need the quantities and Perimeter is
cm
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

The perimeter is 8 cm.

Yes, the perimeter of a square is directly proportional to its side length.

Step-by-step explanation:

Given:

The side length of the square is, a=2\ cm

The perimeter of a square is the sum of all of its side lengths. The perimeter of a square of side length 'a' is given as:

P=a+a+a+a=4a

Plug in a=2\ cm and find perimeter, 'P'. This gives,

P=4\times 2=8\ cm

Therefore, the perimeter is 8 cm.

Now, two quantities are directly proportional only if their ratio is a constant.

Let us find the ratio of 'P' and 'a'.

We have, P=4a

Dividing both sides by 'a', we get:

\frac{P}{a}=\frac{4a}{a}\\\frac{P}{a}=4(Constant)

Therefore, the ratio of perimeter and side length is a constant. Hence, these are directly proportional quantities.

You might be interested in
Heather finished the 12-kilometer race in 2 hours. If Heather kept her pace constant, what was her rate? A. 24 km/hr. B. 14 km/h
andriy [413]

Answer: D, 6km/hr.

Step-by-step explanation:

Heather can finish a 12-kilometer race in 2 hours, and now we have to find how many kilometers she can ride/run at in 1 hour.

How many hours can Heather run in 1 hour? To solve that, we can use the equation 12 ÷ 2.

12 ÷ 2 = 6.

Therefore, if Heather keeps her pace constant, then her rate will be 6km/hr, or D.

7 0
3 years ago
Kiran has 10 1/2 feet of lumber and wants to make a bookshelfKiran needs two side panels that are each 5 2/3 feet. How much more
eimsori [14]

Total height of lumber, H = 10 1/2 feet = 21/2 feet .

Height of side panel, h = 5 2/3 feet = 17/3 feet .

Now,

Extra lumber required, L = 2 × Height of side panel - Total height of lumber

L=[2\times (\dfrac{17}{3})]-\dfrac{21}{2}\\\\L = \dfrac{5}{6}\ feet

Therefore, extra lumber required is \dfrac{5}{6} feet.

Hence, this is the required solution.

4 0
3 years ago
How many groups of 4/5 in 2
Veseljchak [2.6K]
2 1/2 groups of 4/5 fill in two. Another way of saying that is what is 2 divided by 4/5. The answer is 2 1/2.
~Deceptiøn
3 0
3 years ago
Help pls with math lotsss of points!!!
sveticcg [70]

Answer:

5x^2+22x-12         x cannot be -5, -4, -2

(x+5)(x+4)(x+2)

Step-by-step explanation:

In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:

x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)

x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)

Now that you have factored out the two quadratics, plug them into the equation.

    5x        -       3

(x+4)(x+2)      (x+5)(x+2)

Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.

5x (x+5)             -           3(x+4)  

(x+5)(x+4)(x+2)      (x+5)(x+4)(x+2)

Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:

5x^2+25x - (3x+12)     =    5x^2+22x-12         x cannot be -5, -4, -2

 (x+5)(x+4)(x+2)               (x+5)(x+4)(x+2)

4 0
2 years ago
Solve the equation 1.2x = 5.16 for x.
Kobotan [32]

1.2x = 5.16

x = 5.16/1.2

x = 4.3

5 0
3 years ago
Read 2 more answers
Other questions:
  • Is the relation a function? Why or why not?
    14·1 answer
  • The sales tax in one state is 6 percent, Write a function rule for finding the total cost for an item with selling price x, then
    13·1 answer
  • What is 1133.23 rounded to the nearest whole number
    12·1 answer
  • What is 312.501 rounded to the nearest whole number? A. 310 B. 311 C. 312 D. 313
    5·1 answer
  • Find the solution set a² = 64<br> Separate the two values with a comma.
    15·2 answers
  • PLS help me with this!
    9·1 answer
  • Solve the following using the model provided <br>2.1÷3=​
    12·2 answers
  • How do I answer 3 and 4
    10·2 answers
  • At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.12 and the probability that the flight
    12·1 answer
  • How do I determine which is y=-1/3x+2?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!