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kumpel [21]
3 years ago
9

Randy is building a cube-shaped doghouse with four faces. He is leaving one face open as a door, and one face open to the ground

. The doghouse will be 4 feet long. What is the total surface area of the walls and the top of the doghouse?
Be sure to include the formula for surface area.

Show how to modify the forumla for surface area to meet the needs of this problem.

Show all of your work, including your final answer with the correct units
Mathematics
1 answer:
astraxan [27]3 years ago
7 0
Total suface area of a cube = 6 a^{2}, where a is the length of the cube.
Here, two faces will be left open, which reduces the formula to
total surface area = 4 a^{2}=4(4)^{2}=4\times 16=64 square feet


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Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two g
Firlakuza [10]

Answers:

Ava’s graph is a vertical translation of f(x) = x^2.

Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.

Ava’s graph has a y-intercept of 4.

Given:

Ava graphs the function h(x) = x^2 + 4.

Victor graphs the function g(x) = (x + 4)^2

To find y intercept we plug in 0 for x

h(x) = x^2 + 4

h(x) = 0 + 4= 4

So ,Ava’s graph has a y-intercept of 4.

Ava graphs the function h(x) = x^2 + 4

If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.

Hence , Ava’s graph is a vertical translation of f(x) = x^2. Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.

Victor graphs the function g(x) = (x + 4)^2

If any number added with x then the graph will be shifted left. the graph will be shifted in negative x direction.


7 0
3 years ago
Read 2 more answers
Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.
Sphinxa [80]

Answer: (r-s)^{2} = 28

Step-by-step explanation:

  • x^{2} -6x+9=-2+9
  • (x-3)^{2}=7
  • (x-3)= -\sqrt{7} or \sqrt{7} <-- there's no plus/minus sign.
  • (x-3) = -\sqrt{7}
  • x = 3 -\sqrt{7} <-- root.
  • (x-3) = \sqrt{7}
  • x = 3+\sqrt{7} <-- root.
  • [(3-\sqrt{7})-(3+\sqrt{7})]^{2}
  • (3-\sqrt{7} -3 - \sqrt{7})^{2} <-- don't forget to distribute the negative.
  • (-2\sqrt{7})^{2}
  • (4)(7)
  • 28
4 0
2 years ago
I NEED HELP ASAP. PLEASE TELL ME WHERE I WOULD GRAPH AND WHERE I WOULD SHADE. ALSO IF THE LINE WOULD BE SOLID OR NOT. 20 POINTS
luda_lava [24]

The first one is a dashed line and the second one is solid. Two points for the first one is (1,4) and (0,3). For the second one two points are (0,-3) and (1,0). From build the lines. Finally the first one is where y is greater so shade above the line with points like ( 10,10) or (7,8) in the shaded region. For the second one since y is less or equal to shade below the line with points like (-2,-10) or (-1,-5).

3 0
2 years ago
A right triangle has legs that measure 7 cm and 6 cm. What is the length of the hypotenuse in meters?
dalvyx [7]
<h2>Greetings!</h2>

Answer:

\sqrt{85}  or 9.22

Step-by-step explanation:

You need to remember the following equation:

a^{2} + b^{2} = c^{2}

Where a and b is the lengths of the two sides and c is the hypotenuse.

So simply plug these values into this:

6^{2} + 7^{2} = h^{2}

36 + 49 = h^2

36 + 49 = 85

So the hypotenuse is the square root of 85:

\sqrt{85}  = 9.22


<h2>Hope this helps!</h2>
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What are all the common multiples of 16 and 48❤️​
PtichkaEL [24]

Answer:

Step-by-step explanation:

8 0
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