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
nikitadnepr [17]
2 years ago
9

3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p

erimeter of the field.​
Mathematics
1 answer:
Kazeer [188]2 years ago
8 0

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

You might be interested in
A. The following events are mutually exclusive: Living in California and watching American Idol. True or False b. The number of
BlackZzzverrR [31]

Answer:

a) False. Because you can live in California AND watch American Idol at the same time

b) True. Because the number of patients is a whole number, like 1, 2 or 3. There is no 1.5 patient

c) False. The actual probability should become closer to the theoretical probablity

d) True

3 0
3 years ago
Write the equation in slope-intercept form:<br> 3y = 2x +15
Sergeu [11.5K]

Answer:

y = 2/3x + 5

Step-by-step explanation:

Hope this helps! :)

3 0
3 years ago
If possible help me in this. I need to find the two odd numbers...​
Lelechka [254]

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

<h3>Answer:  x+2</h3>

========================================================

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

<h3>Answer: x^2 + (x+2)^2 = 394</h3>

========================================================

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

<h3>Answer: Either 13, 15  or  -15, -13</h3>
4 0
3 years ago
8)Reduce a las unidades indicadas: a)18 cm 3 a dm 3
lys-0071 [83]

Answer:

(a) 0.018 dm^3

(b) 20 x 10^15 ml^3

Step-by-step explanation:

a) 18 cm^3 to dm^3

1 cm = 0.1 dm

So,

1 cm^3 = 0.001 dm^3

So, 18 cm^3 = 18 x 0.001 dm^3 = 0.018 dm^3

b) 20 hl^3 to ml^3

1 hl = 100000 ml

So, 1 hl^3 = 10^15 ml^3

So,

20  hl^3 = 20 x 10^15 ml^3.  

7 0
3 years ago
write an equation: Great Uncle Wilbert splits his inheritance equally between his five nieces and nephews. Unfortunately each of
Vaselesa [24]
I think it would be 1225000 because:

$7,500 each to the govt each comes out to $37,500 total given 
237,500 each to the kids comes out to 41,187,500 total given 
so adding both totals, you get $1,225,000 total money in Great Uncle Wilbert's inheritance

apparently he was rich xD

<span>
</span>

6 0
3 years ago
Other questions:
  • 5. What is orthonormal coordinate system?
    10·1 answer
  • Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. Whe
    8·2 answers
  • Ryan planted flowers in a rectangular garden. The width of the garden is left parenthesis x minus 5 right parenthesis(x−5) feet
    11·1 answer
  • Mrs. Chu's famous peanut butter cookies call for 1 cup of peanut butter for every 1/2 of a cup of oil. Today, she wants to make
    11·1 answer
  • What is the value of "x" in this equation: x + 4 = 15 *
    15·2 answers
  • Please help me with this problem :))
    7·1 answer
  • Solve:<br> 4 + x - 17 = 22
    8·2 answers
  • A triangle has three angles that measure 20 degrees. 60 degrees and
    11·1 answer
  • A cylindrical can of soup has a height of 4 inches and a radius of 2 inches. What is the volume of the can? Round to the nearest
    8·2 answers
  • The sum of 20 and twice Vidya's height
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!