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
kari74 [83]
3 years ago
13

A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions

of this field.
Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

l = 12 + w

The area of a rectangle is

Area = lw

This implies that:

w(12 + w) = 2880

Expand

{w}^{2}  + 12w = 2880

{w}^{2}  + 12w  -  2880 = 0

(x + 60)(x - 48) = 0

This implies that,

w =  - 60 \: w = 48

The dimensions are positive, the width is 48 and the length is 12+48=60

You might be interested in
HELP URGENT PLEASE! The Lees have purchased a new home for $360,000, and put a down payment of $50,000 on it. They have a mortga
bonufazy [111]

Answer:

$191,340.80

Step-by-step explanation:

Step 1

We find the amount that is paid monthly by the Lee's

We are told in the question that:

Cost of the house =$360,000

Down payment = $50,000

We are also told, the balance left after the down payment was made = Mortgage that is amortized at an

Interest rate of 5.25%

Time = 20 years

Hence, Mortgage amount = $360,000 - $50,000 = $310,000

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = the total monthly mortgage payment.

P = the principal loan amount.

r = your monthly interest rate.

= rate/12

=5.25%/12 = 0.0525/12

= 0.004375

n = number of payments

= number of years × number of months

= 20 × 12 = 240 payments

Formula for monthly payment =

M= P[r(1+r)^n/((1+r)^n)-1)]

M = 310,000[0.004375(1 + 0.004375)^240/((1 + 0.004375)^240 ) - 1]

M = $2,088.92

Therefore, the monthly payment by the Lee's is $2,088.92

Step 2

We calculate the Total Amount paid by the Lee's in 20years because we are told in the question that they paid off their mortgage after 20 years

Total Amount paid = Monthly payments × Number of payments

= $2,088.92 × 240

= $501,340.80

Step 3

The third and final step is to calculate the Total interest paid for 20 years

Total Interest = Total amount paid - Mortgage amount

= $501,340.80 - $310,000

Total Interest: $191,340.80

Therefore,the interest will they have paid in total is $191,340.80

6 0
3 years ago
Alexis goes to the flower shop and buys 6 tulips and 4 daffodils. The total cost is $46. Marci goes to the same flower shop and
puteri [66]
Your answer can be two answer it can 126.12 or it can possibly be 96.80
4 0
2 years ago
20 points answer this randomly!<br><br> Birthday?
Anastaziya [24]

Answer:

Birthdays are a special time of year.

4 0
2 years ago
. Osteen has 32 marbles in his collection. 18 of his marbles are red, four are blue, and the rest are
nalin [4]

Answer: B

Explanation:  

32 marbles in total.

18 red marbles

4 blue marbles

10 green marbles.

You are asked what part of Osteen's marbles are red?

Probability = number of possible outcomes/total number of out outcomes.

P(Red) = 18/32 = 9/16

Both, 18 and 32 are divisible by 2 which gives 9/16. Since 9/16 cannot be reduced any further, we live it as it is. If you wanted to plug this into a calculator that would give 0.5625 which is 56.25% of Osteen's marbles are red.

P(Blue) = 4/32 = 1/8. 1/8 = 0.125 which 12.5% of his marbles are blue.

P(Green) = 10/32 = 5/16. 5/16= 0.3125 which 31.25 of his marbles are green. When you add 0.5625 + 0.125 + 0.3125 = 1 which is 100%. All probabilities add up to 1.

Hope this elaborate explanation helps.

6 0
2 years ago
The price of a shirt is 18.50, but you have a coupon that lowers the price by 20%. What is the price of the shirt after using th
AURORKA [14]
The new price of the shirt is $14.8
8 0
3 years ago
Read 2 more answers
Other questions:
  • 19. Evaluate: 5 x (8-4) ÷ 4 - 2
    12·1 answer
  • Marjorie bought 24 bottles of juice. She drinks 2 bottles each day. Which of the following best represents the number of bottles
    6·1 answer
  • Which of the following is the domain of the square root function?
    7·1 answer
  • (5,0) and (8,4) positive or negative
    12·2 answers
  • How to prove all pairs of corresponding sides and angles are congruent
    12·1 answer
  • State the domain of this relation
    5·2 answers
  • What is 7.3 rounded to the nearest whole number?
    15·2 answers
  • Which is the solution to the inequality? 2 3/5 &lt;b - 8/15
    6·1 answer
  • The Martinez family has 34 gallon of orange juice in the refrigerator. How many cups of orange juice are in the refrigerator?
    12·1 answer
  • Help me find the area
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!