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
zhannawk [14.2K]
3 years ago
10

The perimeter of a rectangle is 90 inches. The length is 8 times the width. What is the length of the diagonal?

Mathematics
1 answer:
german3 years ago
3 0

Answer:

40

Step-by-step explanation:

The formula for the perimeter of a rectangle is  P = 2l + 2w.  Since the length is 8 times the width, l = 8w.  You can plug this into the equation.

<em>P = 2(8w) + 2w</em>

<em>P = 16w + 2w</em>

P = 18w

Now, plug in the given value for perimeter, and solve for w.

<em>90 = 18w</em>

<em>(90)/18 = (18w)/18</em>

5 = w

Since the width is equal to 5, you can now solve for l.

<em>l = 8w</em>

<em>l = 8(5)</em>

l = 40

The length of the diagonal is equal to 40.

You might be interested in
I want to install carpet in my living room, which is 200 inches long and 50 ft wide. The carpet is sold for 5000 naira per yard2
inn [45]

Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units.  I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

7 0
3 years ago
(1)/(2)(8y-4)=(3)/(4)(16-8y)
Talja [164]

Answer:   y=7/5

Hope this helps

7 0
3 years ago
What is the slope of the line that goes through the points (1,-5) and (4,1)?
lesya692 [45]

Answer: m = 2

Step-by-step explanation:

What we know:

  • The slope needs to pass through the points (1, -5) and (4, 1)
  • There are 4 potential slopes given to us- only one is correct
  • We need to find the slope and make sure it is an option

How to solve:

By using the slope equation and the two points given to us, we can calculate the slope.

Process:

  • Set up equation                                                 (y2 - y1) / (x2 - x1)
  • Substitute                                                            (1 +5 ) / (4 - 1)
  • Simplify                                                                6 / 3
  • Simplest form                                                      2/ 1 =

Slope =                                                                          2

Solution: m = 2

4 0
2 years ago
What is the value of the expression w – 4 when w = –17?
JulsSmile [24]
=(-17) - 4
=(-17) + (-4)
=(-21)

3 0
3 years ago
Read 2 more answers
What is the slope for this line?​
Juli2301 [7.4K]

Answer:

2

Step-by-step explanation:

2/1=2, 8/4=2, 12/6=2

3 0
4 years ago
Other questions:
  • Students in Mrs. Joshi's English class are assigned chapters of a book to read each week. The graph shows the number of chapters
    8·1 answer
  • How to find a circumference of a circle​
    9·2 answers
  • If x=-3,what is the value of |x-4|-x^2
    6·1 answer
  • What is the measure of ABC in the figure below?
    8·2 answers
  • A student writes
    5·2 answers
  • Need help plz I’m not rlly smart at math
    9·2 answers
  • X2 - 4x + y2 - 21 = 0 The equation in standard form is​
    11·1 answer
  • (06.01)
    11·1 answer
  • What is the inverse of the function y-2 = 7x?
    8·1 answer
  • What is the rate of return on a $5,000 bond purchased at $4,750 with a 12% coupon?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!