Lisa's favorite chocolate candies are wrapped in the shape of a triangular prism with shiny gold paper as shown below. if all si
des of the package are covered in the gold paper, what is the surface area of the mount that is wrapped?
2 answers:
Answer:
150 cm squares
Step-by-step explanation:
Let us see the formula for surface area of a rectangular prism
SA = bh+2ls+lb
where l is length = 7 cm
b is the base = 8 cm
h is the height = 3 cm
s is the slant height =
now replacing these values in formula we get
SA = 8*3+2*7*5+7*8
SA=24+70+56
SA=80+70
SA=150
Hence the surface area of the wrapper will be 150 Cm squares
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Answer:
Length = 16 or -5 feet.
Width = 5 or -16 feet.
Step-by-step explanation:
Let the length of the concrete pad = l
Let the width of the concrete pad = w
<u>Given the following data;</u>
Area of concrete pad, a = 80ft²
Translating the word problem into an algebraic equation, we have;
<em>We know that, the area of rectangle, A = length * width</em>
<em>Substituting the values into the equation, we have;</em>
<em>Expanding the bracket, we have;</em>
*Solving the quadratic equation by using factorization method*
Width, w = 5 feet or w = -16 feet.
<em>Therefore, the width of the concrete pad is 5 feet or -16 feet.</em>
<em>To find its length, l;</em>
When w = 5 feet
Length, l = 16 feet
When w = - 16 feet
Length, l = -5 feet.
Hence, the dimensions of the concrete pad is 16 by 5 feet or -5 by -16 feet.
Supposse that the distance from the point to the point
is equal to the distance from
to the point
. Then, by the formula of the distnace we must have
cancel the square root and the 's, and then expand the parenthesis to obtain
then, simplifying we obtain
therfore we must have
this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: . The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.