Answer:
- total area is the total of the areas of each of the rectangular surfaces
- 67 units²
Step-by-step explanation:
Add up the surface areas of each of the 6 faces.
There are two top/bottom faces with the same area, two left/right faces with the same area, and two front/back faces with the same area. So you only need to figure the areas for 3 faces, then multiply that sum by 2. Of course the area of each rectangle is the product of its length and width. For length, width, and height dimensions L, W, and H, the total area is ...
A = 2(LW +WH +LH)
= 2(LW +H(L+W)) . . . . . I like this form because there's one less multiplication
= 2(5·4 + 1.5(5+4)) = 2(20 +13.5)
A = 67 . . . units²
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<em>Comment on dimensions</em>
It does not matter which number you use for length, width, or height. The problem is symmetrical that way, so any of the dimensions can be called any of those things. You need to use the same number consistently for height (for example) once you have made the choice of which is which.
The value of x = 1
5x + 15 = 20
- 15 -15
5x = 5 ( Divide by 5)
Answer:
True. The absolute value produces a positive value, but then when you negate that value, it would always be negative. What's important is we're not taking the negative of the number being absolute valued itself, but rather we're taking a negative of the result.
Step-by-step explanation:
Choice D is the correct answer.
For translations, moving to the right 5 units means you add 5 to x, and moving down 2 units means you subtract 2 from y. D is the only choice that accurately represents this.
Hope this helps