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yaroslaw [1]
3 years ago
11

Simon has a rectangular garden that is 10 feet wide. The perimeter of the garden is 50 feet.

Mathematics
2 answers:
elena-s [515]3 years ago
3 0
The area is 150 feet^2. The dimensions are 10x15 feet.

_________x__________
|                                       |
|                                       |
|  10 ft                              |  10 ft
|                                       |
<span>|  ________x__________|</span>

20+2x=50 <--- the perimeter 
30=2x
x= 15

mash [69]3 years ago
3 0
The area is 150 feet.
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The graph shows a probability distribution. What is P(X&lt;5)
Thepotemich [5.8K]

Answer:

P(x < 5) = 0.70

Step-by-step explanation:

Note:  The area under a probability "curve" must be = to 1.

Finding the sub-area representing x < 5 immediately yields the desired probability.

Draw a dashed, vertical line through x = 5.  The resulting area, on the left, is a trapezoid.  The area of a trapezoid is equal to:

 (average length)·(width, which here is:

  2 + 5

----------- · 0.02  =  (7/2)(0.2) =  0.70

      2

Thus, P(x < 5) = 0.70

7 0
3 years ago
Samantha has a rectangular shaped fish tank in her room. The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9
andrezito [222]

Answer: the BEST approximation of the amount of water her fish tank can hold is 21ft^3

Step-by-step explanation:

The shape of Samantha's fish tank is rectangular. The volume of the rectangular fish tank would be expressed as LWH

Where

L represents length of the tank

W represents the width of the tank.

H represents the height of the tank.

The tank has a height of 2.6 ft, a width of 2.1 ft, and a length of 3.9 ft.

This means that the volume of the fish tank would be

Volume = 2.6 × 2.1 × 3.9

= 21.294 ft^3

7 0
3 years ago
B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
(-4 + Dx)/2 = -4 ---> multiply both sides by 2
-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
5 0
3 years ago
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Dmitry_Shevchenko [17]

Answer:

the opposite number is going to be negative because if  x is to the right of the number line then the opposite will be of the left of 0 making the opposite number negative.

Step-by-step explanation:

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7 0
2 years ago
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
Natasha2012 [34]
<span>The missing angle measure in triangle ABC is 55°.

The measure of angle BAC in triangle ABC is equal to the measure of angle 
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The measure of angle ABC in triangle ABC is equal to the measure of </span><span>angle EFD in triangle DEF.

Triangles ABC and DEF are similar by the angle-angle criterion. 
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5 0
3 years ago
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