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
____ [38]
2 years ago
15

A rectangular field has a length that is 90 feet more than twice the width of the field. If the area of the field is 58,500 squa

re feet, what is the width of the field A. 390 feet B. 201 feet C. 132 feet D. 150 feet
Mathematics
1 answer:
iragen [17]2 years ago
6 0

Answer:

D. 150 feet

Step-by-step explanation:

The formula for the area of a rectangle is:  area = lw, where l = length and w = width.  In this case, the length is defined as '90 feet more than twice the width' or l = 2w + 90.  If we put this expression in for the value of 'l' in our formula for area we get:

area = w(2w +90), distribute: area = 2w² + 90w = 58500

Subtracting 58500 from both sides, we get the following polynomial:

2w² + 90w - 58500

We can divide all the terms by '2' to simplify:

w² + 45w - 29250

Next, we look for the two factors of 29,250 that will add up to 45, which is -150 and +190 to factor our polynomial:

(w - 150)(w + 190) = 0

Setting both equations equal to 0 and solving for w:

w - 150 = 0 or w = 150

w + 190 = 0 or w = -190

Since our with can not be negative, then the correct width of the field is 150 ft.

You might be interested in
In the right triangle, a = 20, b = 21. Find c<br><br> A) 841<br> B) 22<br> C) 29
Mariulka [41]

Answer:

C

Step-by-step explanation:

3 0
2 years ago
Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!
nexus9112 [7]

Answer:

x=6

Step-by-step explanation:

h(x) = -( x-2)^2 +16

We want when h(x) = 0

0 = -( x-2)^2 +16

Subtract 16 from each side

-16  = -( x-2)^2 +16-16

-16 = -( x-2)^2

Divide by -1

16= ( x-2)^2

Take the square root of each side

±sqrt(16) = sqrt(( x-2)^2 )

±4 = x-2

Add 2 to each sdie

2 ±4 = x-2+2

2+4 = x     2-4 =x

6 =x           -2 =x

since time cannot be negative

x=6

4 0
3 years ago
The cost of mining gold for a mining company is $920 per gram.How much will it cost the company to mine 0.2 kilograms?
Aneli [31]

Answer:

$184

Step-by-step explanation:

3 0
3 years ago
A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t
forsale [732]
V = π r² h
V= π (4x+2)² (5x+4)
V = π (4x+2)(4x+2)(5x+4)
V = π (16x²+16x+4)(5x+4)
V= π(80x³+144x²+84x+16)
V= 251.33x³ +452.39x²+263.89x+50.27
4 0
3 years ago
Select the better answer for the definition: Step Function.
Ainat [17]

Answer:

3

Step-by-step explanation:

it resembles a staircase when graphed

7 0
3 years ago
Other questions:
  • Hey guys cannu please help asap i will do anythying
    6·2 answers
  • Jeremy has $30. He pays $8 to wash his car. His friend pays back $16 that Jeremy had loaned to him. How much money does Jeremy h
    9·2 answers
  • The sum of 0.8 and 0.04 can be written as a fraction where the numerator and the denominator are both positive integers. When th
    15·1 answer
  • The width of a rectangle is 7 meters greater than its length
    11·1 answer
  • What area of the grass is being watered by this sprinkler
    10·1 answer
  • Christy is three times as old as he was 8 years ago . How old is she now?
    13·1 answer
  • Find the slope of the line (2,0) (1,3)
    5·1 answer
  • Steven needed to mail a holiday envelope to his Aunt Linda. He used $0.02 stamps and $0.10 stamps to mail the gift. If he used 1
    6·1 answer
  • When calculating the effective rate of a loan, which statement or statements must be true if n is equal to 1? I. The nominal rat
    7·1 answer
  • The Carter family just left the local pet store with Rex, their new family dog. The pet store owner told the Carter family that
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!