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Nookie1986 [14]
2 years ago
13

What is the surface area of a box with a height and width of 5 inches and a length of 8 inches ?

Mathematics
1 answer:
vodomira [7]2 years ago
5 0

Answer:

210 sq in

Step-by-step explanation:

Box dimensions: 5 x 5 x 8

2 faces: 5 x 5 -> 2 * 5 * 5 = 50

4 faces: 5 x 8 -> 4 * 5 * 8 = 160

Total = 50 + 160 = 210 sq in

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This figure is made up of a rectangle and parallelogram.
ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = \sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}

, i.e. AD = \sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = \sqrt{[x'' - x']^{2} - [y'' - y']^{2}}

, i.e. AB = \sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0
2 years ago
Solve for y a(n+y)=10y+32 what is the answer
Solnce55 [7]
A (n + y) = 10y + 32
(an + ay) = 10y + 32

an + ay = 32 + 10y

Solve for "a"
-32 + an + ay + (-10y) = 32 + 10y + (-32) + (-10y)
-32 + an + ay + -10y = 32 + -32 + 10y + -10y
<span>- 32 + an + ay + (-10y) = 0 + 10y + (-10y) 
- 32 + an + ay + (-10y) = 10y + (-10y)

</span><span>10y + -10y = 0
-32 + an + ay + (-10y) = 0

Thi could not be determined. (no solution)</span>
6 0
2 years ago
PLEASE HELP!!!!!!!!! LOOK AT PIC, THANKS!!!!!!
mario62 [17]

Answer:

F (x) = 1,6

Step-by-step explanation:

my answer is due to the reason that it is one of the three options and it should only in a way make sense that it is the right answer

3 0
2 years ago
I need these questions answered ASAP can you help me with 12,13,14 pls
melomori [17]
12.) m=26
19-(-7)/-1-(-2)=26

13.) 14
8-(-20)/5-3=14

14.) -4/5 is the slope
Count rise over run and always make sure whether to add a negative based on the direction of the line. In this situation, the line is negative so there is a negative sign present.
7 0
2 years ago
HELPPPPPPPPPPPPPPPPP
emmasim [6.3K]
For this case, what you should see is where the graph cuts the x-axis.
 Notice that the graph cuts to the x axis in three different points.
 Then the value of x that is in the domain of the function in this case is:
 x = 1
 For this value of x the function is zero.
 Answer:
 x = 1
5 0
2 years ago
Read 2 more answers
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