Answer:
y = 3
Step-by-step explanation:
According to Euclidian theorem:
y^2 = 3*(12+3)
y^2 = 45 find the root of both sides
y = 3
Answer:
7g - 3
Step-by-step explanation:
2g + 15 + 3g + g + g - 18
2g + 3g + g + g + 15 - 18
7g - 3
Answer:
12a. 471.2 cm²
12b. 60 m²
Step-by-step explanation:
Part A.
The surface area of each figure is the sum of the end area and the lateral area.
<u>cylinder</u>
S = (2)(πr²) +2πrh = 2πr(r +h)
S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²
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<u>triangular prism</u>
S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism
S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²
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Part B.
Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.
Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.
The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).
Answer:
Step-by-step explanation:
Since it's a perfect square, we can simply use the formula:
Given the perfect square expression 
. Apply perfect square formula:
Knowing laws of exponent is mandatory when it comes to algebra. Recall that:
Apply laws of exponent to simplify the terms or expression:
Since there are no like-terms to do operation with (these terms have different degrees so they are not considered to be like-terms.) Therefore, the final answer is:
