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
Serggg [28]
3 years ago
10

The length of a rectangle is 5 centimeters less than twice it’s width. The perimeter of the rectangle is 80 cm. What are the dim

ensions of the rectangle?
Mathematics
1 answer:
algol [13]3 years ago
3 0
<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>

l = 2w - 5

2l + 2w = 80

We have a value for l, so we can plug it into the second equation to solve for w.

2(2w - 5) + 2w = 80

Distributive property.

4w - 10 + 2w = 80

Combine like terms.

6w - 10 = 80

Add 10 to both sides.

6w = 90

Divide both sides by 6.

w = 15

Now that we have a value for w, we can plug it into the original equation to solve for l.

l = 2(15) - 5

l = 30 - 5

l = 25


You might be interested in
When lines coincide how many solutions does each system have?
Pani-rosa [81]
I believe It is A. infinitely solutions
7 0
4 years ago
Read 2 more answers
Please help me with this:(
dolphi86 [110]

Answer:

Y = 32.7°

Step-by-step explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY = \frac{7575}{9000}

        = 0.84167

Y = \text{cos}^{-1}(0.84167)

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°

5 0
3 years ago
Tan x-1/tan x+1=1-cot x/1+cotx
ikadub [295]
\dfrac{\tan x-1}{\tan x+1}=\dfrac{\frac{\sin x}{\cos x}-1}{\frac{\sin x}{\cos x}+1}=\dfrac{\sin x-\cos x}{\sin x+\cos x}=\dfrac{1-\frac{\cos x}{\sin x}}{1+\frac{\cos x}{\sin x}}=\dfrac{1-\cot x}{1+\cot x}
6 0
3 years ago
Consider the following system of two linear equations:
harkovskaia [24]

Hello,

Answer:

The last graph (2;3)

Step-by-step explanation:

2x + 3y = 12

2x – 3y = 0

2x + 3y = 12

2x = 3y

3y + 3y = 12 ⇔ 6y = 12 ⇔ y = 12/6 = 2

2x + 3 × 2 = 12 ⇔ 2x + 6 = 12 ⇔ 2x = 6 ⇔ x = 6/2 = 3

4 0
2 years ago
A survey,45% of respondents said they own a DVD player.Based on this information,predict how many of the 9,985 residents of Sadi
tatuchka [14]

Answer:

just breather just breathe

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find the surface area of the triangular prism
    10·1 answer
  • Please help!! Is this statement always,sometimes,or never true
    11·2 answers
  • You are visiting your friend Fabio's house. You find that, as a joke, he filled his swimming pool with Kool-Aid, which dissolved
    12·1 answer
  • HELP!!!!!!!!!!!!!
    9·1 answer
  • What is the area of a square that measures 3.1 m on each side?
    15·1 answer
  • Which procedure correctly simplifies the expression below?
    13·1 answer
  • At a Noodle &amp; Company restaurant, the probability that a customer will order a nonalcoholic beverage is . 43. Find the proba
    14·1 answer
  • Someone please help (urgent)
    5·2 answers
  • Find the value of this expression if x = 5 and x=2<br> xy^2 / -3
    13·1 answer
  • 19. In the diagram below, which of the following pairs are vertical angles?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!