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Karo-lina-s [1.5K]
3 years ago
6

Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 fee

t. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Mathematics
1 answer:
viva [34]3 years ago
4 0

Answer:

3 ft, 5ft, 6ft

Step-by-step explanation:

To build a kennel of my dog, I would try to make it the largest possible with what I have.

So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.

By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft  (6² is almost 3²+5², which equal 34).

That means my corner angle would be slightly over 90 degrees.

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Step-by-step explanation:

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3 years ago
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Which graph represents a function?
Sliva [168]

Answer:

D

Step-by-step explanation:

A function is where each input (here, the input is x) corresponds to exactly one output (here, the output is y). In other words, if a function is graphed, we should be able to draw a vertical line through every single part of it that will intersect it at only one place.

Let's examine each choice.

(A) Well, if we draw a vertical line through the graph, it will obviously intersect the entire line - which is an infinite number of intersections, so this is not a function.

(B) If we draw a vertical line through the portion of the graph that lies near the positive x-axis, we note that it will intersect twice, so this is not a function.

(C) If we strategically draw a vertical line through the y-axis, we see it will intersect two times, so this is not a function.

(D) We can draw a vertical line through any portion of this graph and know that it will only intersect once.

Therefore, the answer is D.

5 0
3 years ago
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List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f
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Answer:

\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

                              = 10

\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}

⇒ Number of equal intervals = 5

\textbf{Length of each interval = }\frac{10}{5}

\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8

3 0
3 years ago
find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)
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Answer:

115

Step-by-step explanation:

4*2+8(2) = 24

31

7(2)+30 = 44

3*2-5(2)+20 = 6-10+20 = -4+20 = 16

24+31+44+16

115      

8 0
3 years ago
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314,207 in standard form expanded form and word form
Gennadij [26K]
Three hundred fourteen thousand two hundread seven

Hope it helps!!
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3 years ago
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