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frosja888 [35]
3 years ago
11

A local businessman bought a square plot of land. The sides of the lot measure 32 feet on each side. He decides to split the lot

into two equal-sized right triangles by putting a fence down the diagonal. Approximately how many feet of fencing will he need?
Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

The sides of a right triangle all right triangles fall under the identity a^2 + b^2 = c^2. Thus, if you draw the picture, you know that both a and b will be 32 feet. You plug 32 in, and get 32^2 + 32^2 =2048. The square root of 2048=45.25 ft. Thus, the diagonal will be 45.25 feet.

Step-by-step explanation:

this is the correct formula to figure out equal sided right triangle

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Samira buys a car the car loses 23% of its value in the first year. at the end of the first year her car is worth 6575.80 dollar
Andreyy89

Answer: Samira paid $8540 for her car.

Step-by-step explanation:

Let x = Amount paid by Samira for her car.

Given: Depreciation rate = 23%

Worth of car after one year = $ 6575.80

As per given,

x - 23 % of x = 6575.80

⇒ x - 0.23x = 6575.80

⇒ 0.77x= 6575.80

⇒ x= $8540   [Divide both sides by 0.77]

Hence, Samira paid $8540 for her car.

6 0
3 years ago
You invest $350 in an account with an interest rate of 1.2% compounded continuously. How much money would be in the account afte
kozerog [31]
Change 1.2%into decimal you will get 0.012
then multiply 350 by 0.012 you got the answer
then add the 0.012 with the 10 you will get 10.012
at the end round your answer to the whole number
5 0
3 years ago
Read 2 more answers
The giraffes roam 612 acres of grasslands and the tigers roam 346 few acres. How many acres do they roam combined?
jeyben [28]

Answer:

They roam 958 acres combined.

Step-by-step explanation:

612 + 346

= 958

4 0
2 years ago
14.What is the solution of the system?
Archy [21]

Answer:

14.  x=-2.5,  y = -7

15.  x=28  y = -20

Step-by-step explanation:

14.  Let's solve this system by elimination.  Multiply the first equation by -1.

-1*(4x-y)= -1*(- 3)

-4x +y = 3

Then add this to the second equation.

-4x+y = 3

6x-y= - 8

--------------

2x   = -5


Divide each side by 2

x = -2.5

We still need to find y

-4x+y =3

-4(-2.5) + y =3

10 +y =3

Subtract 10 from each side.

y = 3-10

y = -7


15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with.   I will elimiate the y variable.  Multiply the first equation by 11

11( 5x+6y)= 11*20

55x+66y = 220

Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192


Add the modified equations together.

55x+66y = 220

-54x-66y = -192

---------------------------

x = 28

We still need to solve for y

5x+6y = 20

5*28 + 6y =20

140 + 6y = 20

Subtract 140 from each side

6y = -120

Divide by 6

y = -20

3 0
2 years ago
What is the solution to the following system of equations?
kipiarov [429]

Answer:

(0, -6)

Step-by-step explanation:

Given the following systems of linear equations;

3x - 2y = 12 ...... equation 1

16x - 4y = 24 ........ equation 2

We would solve for the solution using the elimination method;

Multiplying eqn 1 by 2, we have;

2 * (3x - 2y = 12)

6x - 4y = 24

16x - 4y = 24

Subtracting the two equations, we have;

(6x - 16x) + (-4y -[-4y]) = (24 - 24)

-10x - 0 = 0

-10x = 0

x = -0/10 = 0

Next, we would find the value of y;

3x - 2y = 12

3(0) - 2y = 12

0 - 2y = 12

-2y = 12

y = -12/2

y = -6

Check:

3x - 2y = 12

3(0) - 2(-6) = 12

0 - (-12) = 12

12 = 12

Note: the options provided for this questions are incorrect or inappropriate.

5 0
3 years ago
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