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
gregori [183]
3 years ago
11

A flower bed is in the shape of a triangle with one side twice the length of the shortest​ side, and the third side is 18 feet m

ore than the length of the shortest side. Find the dimensions if the perimeter is 174 feet.
Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Answer: The dimensions of the flower bed are,

39 ft, 57 ft and 78 ft.

Step-by-step explanation: Of the three sides, one side is twice the length of the shortest. Let the shortest side be labelled as b. That means one of the sides of the flower bed measures twice b, that is, 2b.

Also we are told that the third side measures 18 feet more than the shortest side, b. The third side can now be represented by b + 18.

So the triangle has sides

b, 2b and b + 18

If the perimeter is 174, then

b + 2b + (b + 18) = 174

b + 2b + b + 18 = 174

4b + 18 = 174

Subtract 18 from both sides of the equation

4b = 156

Divide both sides of the equation by 4

b = 39.

Therefore the shortest side of the triangle measures 39 ft while the other two sides measure 78 ft (twice the length of b) and 57 ft (18 ft more than the shortest side)

You might be interested in
a car is traveling at 45 mi/h. write an equation that models the total distance traveled after hours
blsea [12.9K]
45 times number of hours
3 0
3 years ago
Read 2 more answers
What is the relationship between the values tand s plotted on the number line
vivado [14]
A. T=s
Im pretty sure
4 0
3 years ago
Read 2 more answers
A reading teacher recorded the number of pages read in an hour by each of her
Ymorist [56]

Answer:

the lower quartile should be 43.5, not 44, therefore the 3 is the wrong statistic

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
the population of arizona is estimated go increase by 6.2% every year. if the population was 4.18 million in 2016 estimate popul
aleksklad [387]

Given:

a.) The population of Arizona is estimated to increase by 6.2% every year.

b.) The population was 4.18 million in 2016.

For us to be able to determine the population in 2022, we will be using the following formula:

\text{ P = P}_0e^{rt}

Where,

P = Total population after time (t)

P₀ = Starting population = 4.18 million

r = Growth rate (in decimal form) = 6.2%/100 = 0.062

t = time (in years) = 2022 - 2016 = 6 years

e = Euler's number = 2.71828182845

We get,

\text{ P = P}_0e^{rt}\text{ = (4,180,000)(}2.71828182845)^{0.062(6)}\text{ P = 6,063,645.861797897 }\approx\text{ 6,063,646}

Therefore, the population in 2022 will be approximately 6,063,646.

7 0
1 year ago
The area of a rectangle is 66 ft2, and the length of the rectangle is 1 ft more than twice the width. Find the dimensions of the
umka21 [38]
This is probably way overcomplicated but i cant remember how to do it
w = n
l = 2n+1
w*l = 66
n(2n+1) = 66
2n^2 + n =66
2n^2 + n - 66 = 0
using quadratic equation

n = 11/2

width = 11/2 = 5.5
length = 11 + 1 = 12
3 0
3 years ago
Other questions:
  • A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7. If there are 105 orange juice bo
    6·1 answer
  • What number times 2.7 equals to 8.37
    10·2 answers
  • 2. Which statement best describes the relationship between the two given equations?
    8·2 answers
  • A car travels 6 kilometers in 3.75 miles. How many miles will it travel in 40 kilometers?
    13·2 answers
  • is a number. As a product of prime factors in index form = 2 × 34 × 3 Work out 32 as a product of prime factors in index form. G
    15·1 answer
  • Last saturday, the museum box office sold 281 tickets for a total of $3,954. Adult tickets cost $15, and student tickets cost $1
    15·1 answer
  • How do you solve 9!/5! ?
    8·1 answer
  • Help plsssssssss????
    13·2 answers
  • Evaluate the function f (x) = x Over 3 + 4 for f(-9).
    8·1 answer
  • What is the area of the trapezoid?<br> 11 cm<br> 15 cm<br> 17 cm<br> 19 cm<br> square centimeters
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!