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
vaieri [72.5K]
3 years ago
5

He length of a rectangle is five times its width.

Mathematics
2 answers:
PolarNik [594]3 years ago
8 0

Answer:

w = 10

l = 50

Step-by-step explanation:

Formula of Perimeter: w + w + l + l or 2w + 2l

l = 5w

2l + 2w = 120

2(5w) + 2w = 120

10w + 2w = 120

12w = 120

w = 10

l = 5(10)

l = 50

Check:

2l + 2w = 120

2(50) + 2(10) = 120

100 + 20 = 120

120 = 120

Hope This Helps!

Natali [406]3 years ago
6 0

Lets denote our variables as:

  • x the width of the rectangle
  • 5x the length of the rectangle

The formula for the perimeter of a rectangle is P = 2L + 2W, where L is the length of the rectangle and W is the width of the rectangle. We know that the perimeter of the rectangle is 120m, so we can write:

2(x) + 2(5x) = 120

2x + 10x = 120

12x = 120

 x = 120/12

 x = 10 m → Width of the rectangle

Substituting in the length:

5x = 5(10) = 50 m → Length of the rectangle

<h2>The length of the rectangle is 50 m and its width is 10 m.</h2>
You might be interested in
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
iris [78.8K]
Given: 
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.

Area of a semi circle = π r² / 2 
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²

100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.
3 0
3 years ago
Since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year. Predict th
BaLLatris [955]

Answer:

20,158 cases

Step-by-step explanation:

Let t=0 represent year 2010.

We have been given that since 2010, when 102390 Cases were reported, each year the number of new flu cases decrease to 85% of the prior year.

Since the flu cases decrease to 85% of the prior year, so the flu cases for every next year will be 85% of last year and decay rate is 15%.

We can represent this information in an exponential decay function as:

F(t)=102,390(1-0.15)^t

F(t)=102,390(0.85)^t

To find number of cases in 2020, we will substitute t=10 in our decay function as:

F(10)=102,390(0.85)^{10}

F(10)=102,390(0.1968744043407227)

F(10)=20,157.970260446597\approx 20,158

Therefore, 20,158 cases  will be reported in 2020.

3 0
3 years ago
There are 400 animals that live at a zoo. You find that 22 of 65 randomly chosen animals are
snow_tiger [21]

Answer:

About 135.

Step-by-step explanation:

As the sample is random the number of monkeys likely to be in the zoo

=  (22/65) * 400

= 135.38

8 0
3 years ago
Multiply and simplify the following complex numbers:<br> (-3 - 2i) x (-4 + 2i)
Alja [10]
(-3 - 2i) x (-4+ 2i) if you simplify using FOIL you will get 16+2i
5 0
3 years ago
Chris ate 1/4 of the pizza.if the pizza has eight slices, how many slices are lef
lana66690 [7]

Answer:

6

Step-by-step explanation:

1/4 = 2/8

8/8 - 2/8 = 6/8  

This means 6 slices are left out of 8 slices.

7 0
3 years ago
Other questions:
  • The base of an exponential function can only be a positive number.<br> O A. True<br> B. False
    6·2 answers
  • Both please.........
    15·1 answer
  • Rashad filled the bottom layer of a toy box with 15 wooden blocks he stacked 2 more wooden blocks on top of the bottom layer wha
    13·2 answers
  • Can someone help me! How do you find the area of any polygon??
    14·2 answers
  • Delaware Trust has 450 shares of common stock outstanding at a market price per share of $27. Currently, the firm has excess cas
    5·1 answer
  • PLEASE HELP ME! Thanks!
    13·1 answer
  • What is the 13th term of the arithmetic sequence?<br> A. 3<br> B. 3 1/2<br> C. 4<br> D. 3 3/4
    14·1 answer
  • tina is a waitress that makes $10.40, but an average 8 hour shift for her brings in an additional $85 in tips. how much does tin
    10·1 answer
  • A line that includes the point (-4, 7) has a slope of 6. What is its equation in point-slope
    5·1 answer
  • Mrs. Hicks can grade 25 quick checks in 20 minutes. Ms. Place can grade 36 quick checks in 30 minutes. Which teacher is working
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!