Answer:
5/2
Step-by-step explanation:
The formula for the area of the triangles is base x hight divided by 2 (bh/2)
The formula for the square is length times width (l x w)
therefore...
bh/2 = (12)(6) / 2 = 36 (this is the area of one triangle)
then you need to times 36 by 4 because you have 4 triangles.
36 x 4 = 144
l x w = 12 x 12 = 144 (this is the area of the square)
last you need to add the area of the triangles (144) and the area of the square (144) because that will give you the total surface area of the shape.
144+144= 288
so your answer is 288cm squared (288cm2)
The slope of the given line is -2, and since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/2.
Substituting into point-slope form,

The following compound? what’s the following compound
Answer:
a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.
b. The value of the gold in each necklace is $1761
Step-by-step explanation:
(a) Number of necklaces
2
ounces of gold=2.875
No of necklaces=212.75oz x 1 necklaces/2.875oz
=74 necklaces
(b)Value of gold in each necklace
There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.
Mass of pure gold=2.875oz x 14k/24k
=1.677083oz
Pure 24K gold is worth $1050/oz.
Value of pure gold=1.677oz x 1050/1oz
= 1760.9 dollars
The value of the gold in each necklace is $1761
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