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
Ganezh [65]
3 years ago
8

A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki

tchen?
Mathematics
1 answer:
konstantin123 [22]3 years ago
8 0
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

    P = 2L + 2W

Substituting the perimeter,
   36 = 2L + 2W
Simplifying,
    18 = L + W

The area is calculated by multiplying the length and width as below,
    A = 80 = LW
  
Substituting the expressions,
   80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m. 
You might be interested in
a small dog’s heart beats about 530,000,000 times during its lifetime, and a large dog’s heart beats about 1.4 times this amount
iren2701 [21]

Answer:

I think the answer is 742,000,000

Step-by-step explanation:

6 0
2 years ago
Smooth transitions in an informative essay_____
WITCHER [35]
The answer is connect.
hope your day is good !!
3 0
2 years ago
Read 2 more answers
Given that k is a positive integer. Find, in terms of k, an expression for Sn, which is the sum of the integers from 2k to 4k in
Elden [556K]

Answer:

S_n=3k\cdot (2k+1)=6k^2 +3k

Step-by-step explanation:

k is a positive integer.

Consider an arithmetic sequence:

a_1=2k\\ \\a_n=4k\\ \\d=1

First, find n:

a_n=a_1+(n-1)\cdot d\\ \\4k=2k+(n-1)\cdot 1\\ \\2k=n-1\\ \\n=2k+1

Now, find the sum of these 2k+1 terms:

S_n=\dfrac{a_1+a_n}{2}\cdot n\\ \\S_n=\dfrac{2k+4k}{2}\cdot (2k+1)=\dfrac{6k}{2}\cdot (2k+1)=3k\cdot (2k+1)=6k^2 +3k

7 0
3 years ago
What is the slope of a line that is perpendicular to the line y = 1?
ValentinkaMS [17]
Y = 1
Using y = mx + c.
Compare to y = 1,    y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to  y = 1
Condition for perpendicularity  m₁m₂ = -1
m₁ = 0,  m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite 
Slope of line perpendicular to y = 1, is  = Infinite. 
3 0
3 years ago
Read 2 more answers
Whats the first operation needed to solve x/3-3=11
velikii [3]

Hello!

To solve algebraic equation, we will need to use the acronym SADMEP.

SADMEP is similar to PEMDAS, but it is strictly used for solving algebraic equations. Expanded, it is subtract, addition, division, multiplication, exponents, and then parentheses.

Looking at SADMEP, we see that subtract/addition comes first, then division/multiplication, and then exponents/parentheses.

In our equation, our goal is to isolate the variable, "x". Since we have two constants, -3 and 11, and -3 is on the side with the variable, we can add -3 to both sides of the equation first.

Therefore, the first operation needed to solve the equation is addition.

7 0
3 years ago
Other questions:
  • Please help solve!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Function : y=4 sin(3x)-2
    10·1 answer
  • The diagram shows rectangle ABCD on a pair of aces. The lengths of its sides are 20 units and 5 units. The coordinates of point
    8·1 answer
  • Solve x2 − 8x + 15 < 0.
    13·1 answer
  • Can anyone help me in these two problems please I need help !!<br> It’s very important
    9·1 answer
  • PLEASE HELPPPPPPPPP asap
    11·1 answer
  • Triangle ABC is similar to triangle XYZ solve for t?
    13·1 answer
  • What is the equation of the line that passes through the point (- 2, 0) and has a slope of ? 5/2 ?​
    11·1 answer
  • What is 7/8 x 1/3 x 2/3? Pls help me.
    14·2 answers
  • What is <br> f(-1)=-3x^{2}+7x+4
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!