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mamaluj [8]
3 years ago
14

A square garden has a diagonal of 12m. What is the perimeter of the garden? Express in simplest radical form.

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

24√2

Step-by-step explanation:

Let the side of the square be x

If the diagonal is 12m (hypotenuse), then;

x^2 + x^2 = 12^2

2x^2 = 144

x^2 = 144/2

x^2 = 72

x = √72

x = √36*2

x = 6√2

Perimeter of the square garden = 4x

Perimeter of the square garden = 4(6√2)

Perimeter of the square garden = 24√2

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A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just b
DedPeter [7]

Complete question:

A student throws a heavy ball downward off the top of a building with a speed of 18m/s. The ball reaches a speed of 41m/s just before striking the ground. Neglect drag, find the height of the building.

Answer:

The height of the building is 69.235 m

Step-by-step explanation:

Given;

initial velocity of the ball, u = 18 m/s

final velocity of the ball, v = 41 m/s

The height of the building is equal to distance traveled by the ball downward.

Apply the following kinematic equation;

v² = u² + 2gh

where;

g is acceleration due to gravity

h is height of the building

41² = 18² + 2(9.8)h

1681 = 324 + 19.6h

19.6h = 1681 - 324

19.6h = 1357

h = 1357 / 19.6

h = 69.235 m

Therefore, the height of the building is 69.235 m

4 0
3 years ago
You have a dog-walking business. You charge $12 per hour. Let's define n as the amount you earn and h as the number of
Goshia [24]

Answer:

n = 12h

Step-by-step explanation:

Given

r = 12/hr --- rate

h \to hours

n \to amount

Required

Determine which solution is correct or incorrect

The solutions are not given. So, I will provide a general explanation

The amount (n) is calculated as:

n = r  * h

So, we have:

n = 12  * h

n = 12h

The above is the general equation to solve for the amount, given h hours

When h = 2.5, we have:

n = 12*2.5

n = 30

8 0
3 years ago
What is the average median of 62,60,57,& 65
Misha Larkins [42]
The median average refers to number in the middle of the set. But we need to write it in chronological order.

Now the set becomes 57, 60, 62, 65.

Now find the number in the middle. In this case, it both 60 and 62.
But we need one number. 

So, we will take the average of both of them.

60 + 62 = 122

122 / 2 = 61

So, 61 is the median of the set.

EDIT:

Big thanks to mkersten for finding two errors in my answer!
7 0
3 years ago
Plz help me again plzzz
Lena [83]
6. d
7. a
8. f
9. b
10. c
11. (7x3)+(7x2)=
      21+14=35
      7x5=35
12. (6x3)+(6x3)=
      18+18=36
      6x6=36
13. (2x3)+(6x3)=
      6+18=24
      8x3=24
14. (9x5)+(9x3)=
      45+27=72
      9x8=72
3 0
3 years ago
Use scientific notation to find the product of 7.13 × 10 -3 and 40.
OleMash [197]

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

4 0
3 years ago
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