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
vladimir1956 [14]
2 years ago
14

A rectangular building has a perimeter of 208 meters. It’s area is 2415 square meters. What are the dimensions of the building?

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:

Step-by-step explanation:

Perimeter of rectangle = 208 m

2*(l + w) = 208  {divide both sides by 2}

l +w = 208/2

l +w = 104

l = 104 - w

Area of rectangle = 2415 square meters

l*w = 2415

Substitute l = 104 - w in the above equation,

(104 - w ) *w = 2415

104w - w² = 2415

0 = 2415 - 104w + w²

w² - 104w + 2415 = 0

Sum = -104

Product  = 2415

Factors = (-69) , (-35)

w² - 35w - 69w + (-69)*(-35) = 0

w(w - 35) - 69(w - 35) = 0

(w -35)(w -69)

w - 35 = 0    ; w  -69 = 0

w = 35    ; w = 69

The dimensions of the building: 35 , 69

You might be interested in
☆
mixas84 [53]

Answer:

$19

Step-by-step explanation:

56x9=504

523-504=19

6 0
1 year ago
Terry just bought a used car with only 28,500 miles on it and it cost $8,200. Every year Terry expects to put another 14,000 mil
VikaD [51]
It will take (100 -28.5)/14 ≈ 5.107 years to get to 100,000 miles. In that time the car will depreciate by a factor of 0.85^5.107, about 0.43605. The value at that time will be
.. $8200*0.43605 ≈ $3706

_____
The difference between 100k miles and 28.5k miles is 71.5k miles. It is "used up" at the rate of 14k miles per year, so the time it takes to do that is 71.5/14 ≈ 5.1 years.

Each year the car depreciates 15%. That is, its value is multiplied by 1 -15% = 0.85. In 5.1 years, the original value will be multiplied by 0.85^5.1. (Remember, exponentiation is repeated multiplication.)
3 0
3 years ago
Lake Lopez had a water depth at its dam of 515 inches at the beginning of the year. During the rainy season, the water depth inc
guapka [62]

This question states that Lake Lopez began at a depth of 515 inches, then increased by 82 inches, then decreased by 119 inches. To model this, we will use addition for the increase and subtraction for the decrease; this will signify a positive/negative change in the depth. This can be modeled by the expression below:

515 + 82 - 119

597 - 119

478

Therefore, the water depth at the end of the summer was 478 inches.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Solve this quadratic equation using the quadratic formula. 2x2 - 10x + 7 = 0
irina [24]

Answer:

Exact Form: x = 5 + sqaureroot 11/2

Decimal Form: x = 4.15

3 0
2 years ago
Solve it : -<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B6%20%5Ctimes%2024%7D%20" id="TexFormula1" title=" \sqrt{6 \ti
irga5000 [103]

Answer:

12

Step-by-step explanation:

sqrt(6*24)

sqrt(144)

sqrt(12*12)

12

3 0
3 years ago
Read 2 more answers
Other questions:
  • Nelson has been collecting he has collected 7 whole and 5 over 12 dozen marbles so far how many marbles are in his collection
    8·1 answer
  • Evaluate 8/13 divided by 2/3
    11·2 answers
  • Write 15 1/4% as a decimal (not as a percentage)
    8·1 answer
  • Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.<br><br> 16x0 + 2x2 • y –1
    10·1 answer
  • Solve -3+2ln(x)=0<br><br><br> .......
    6·1 answer
  • How old am i if 500 reduced by 4 times my age is 184
    9·1 answer
  • Solve for x: 3x -1 = -10
    15·1 answer
  • If a company has 245 shares of common stock and $275,000.00 to be distributed to its holders, how
    11·2 answers
  • On a true/false test, the ratio of true questions to false questions is 3 to 7. What is the ratio of true questions to total que
    11·2 answers
  • The seismic wave of an earthquake is represented by the equation r = 13.2 sin(θ), where r is measured in miles. What does the 13
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!