<span>A jeweler buys a ring from an artisan for 85$. He sells the ring at his store at 135% increase in price. What is the retail price? PLEASE SHOW UR WORK!!!
1.35(</span><em>135%</em><span>) x 85( <em>the price it was bought for</em>)
= $114.75
</span>
The rectangular prism has the greatest volume
Rectangular Prism Volume= 72
Triangular Prism Volume = 70
Volume formulas:
(R.Prism) V=l•w•h
(T. Prism) V= b•h
Work:
(R.Prism)
V= 4•6•3
V= 72
(T.Prism)
V= (1/2•4•5)(7)
V= 70
Hope this helps
Answer:
$42.12
Step-by-step explanation:
35% off means she has to pay:
100 - 35 = 65% of the marked price.
65/100 × 60 = 39
Tax: 8%
8/100 × 39 = 3.12
To pay:
39 + 3.12 = 42.12
Answer:
The answer is $30.72
Step-by-step explanation:
25.60 + 20% = 30.72
You have to divide 25.60 / 20% and that would be 5.12 so to the original answer 25.60 you add 5.12.
Final Answer
30.72
Answers:
- a) 693 sq cm (approximate)
- b) 48 sq cm (exact)
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Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
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Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
