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
Cloud [144]
3 years ago
10

A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.

Mathematics
2 answers:
mr Goodwill [35]3 years ago
6 0

Answer:

a.ℓ=(P/2)-w, b.ℓ=18 cm

Step-by-step explanation:

Hello

I can help you with this one

Let

perimeter=2ℓ+2w

perimeter=48 cm

width=6 cm

Step one

a. Write the formula in terms of ℓ, it means that ℓ must be isolated

P=2ℓ+2w

subtract 2w in both sides

P-2w=2ℓ+2w-2w

P-2w=2ℓ

divide both sides by 2

(P-2w)/2=2ℓ/2

(P/2)-w=ℓ

ℓ=(P/2)-w

Step two

b.Substitute the clues you are given into the rearranged formula.

replace the values

ℓ=(P/2)-w

ℓ=(48 cm /2)-6 cm

ℓ=24 cm - 6 cm

ℓ=18 cm

Have a good day

Vinil7 [7]3 years ago
5 0

Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18

Step-by-step explanation:

You might be interested in
After lunch a supervisor ask you to put to a machine together before the end of the day.It is already 4hours 35second into your
Sphinxa [80]
You have 3hours 25seconds left to assemble the machine.
5 0
3 years ago
The length of the hypotenuse of an isosceles right triangle
Andrei [34K]
The length of each leg is 6
7 0
3 years ago
The monthly output P of a light bulb factory is given by the formula P = 450LK, where L is the amount invested in labor and K th
Tems11 [23]

Answer:

C(p)  = 4,96 (in thousands of dollars)

l = 2980 $  invest in labor

k = 2980 $ invest in equipment

Step-by-step explanation:

Information we have:

Monthly output   P = 450*l*k       ⇒  k = P/450*l

But the production need to be 4000

Then k = 4000/450*l

Cost of production = l * k     (in thousands of dollars)

C(l)  =  l  + 4000/450*l

Taking derivatives (both members of the equation)

C´(l) = 1 - 400 /45*l²          ⇒ C´(l) = 0          ⇒ 1 - 400/45l²  = 0

45*l² -  400  = 0              ⇒  l²  = 400/45

l = 2.98 (in thousands of dollars)

l = 2980 $ And

k = 400/45*l           ⇒  k 400/45*2.98

k = 2.98  (in thousands of dollars)

C(p) = l + k

C(p)  =  2980 + 2980  

C(p)  = 5960 $

4 0
3 years ago
I need the answers please
vovangra [49]
For q5: x=-5/4, y=-15/8
q6: x=-23/5, y=4/5
q7: x=-4/5 y=0
q8: x=6, y=4
4 0
3 years ago
Which ordered pair is a solution
NikAS [45]

Answer:

B) Only (-3, 5)

Step-by-step explanation:

Slot in the options into the equation

(-2, 4),

Compare with (x, y)

x = -2,  y =4

y =-3x - 4

4 =( -3 * -2 ) - 4

4 = 6 - 4

This is not true hence, option A is wrong

Using (-3, 5)

x = -3, y= 5

5 = (-3*-3) - 4

5 = 9 - 4

This is correct hence, option B is correct

Option c is wrong because (-2,4) is not a solution to the equation

Option D is wrong because option B is correct

3 0
3 years ago
Other questions:
  • What is the value of x?
    13·2 answers
  • A flag pole is 20 feet tall, it's shadow is13 feet long. A boy is standing next to the flag pole. He is 5.5 feet tall about how
    14·2 answers
  • The vertices of triangle rst are r(–1,–2), s(2,–1), and t(4,2). If δjkl ∼ δrst and the length of kl is units , what is the lengt
    12·2 answers
  • Taylor used 2 cans of blue paint and 5 cans of yellow paint to decorate a wall. Each can contains 200 millilitres of paint.
    8·1 answer
  • Select all the expressions that are equivalent to –25(15 – 20d + 5c)
    7·1 answer
  • Join my ka.hoot<br> code - 7009251<br><br> put some funny name make me laugh
    10·1 answer
  • [Help Asap, I will mark brainliest] In the figure below, g, || l. Find the values of y and x.
    13·1 answer
  • The sector COB is cut from the circle with center O. The ratio of the area of the sector removed from the whole circle to the ar
    9·1 answer
  • F(X)= 4X+8 g(X)= X+3, find f(X) • g(X)
    12·1 answer
  • If you have the 1st number and HCF of a question and need 2nd number how will you find the 2nd number
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!