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photoshop1234 [79]
3 years ago
5

An apple watch that sold for $200 was on sale for $120. What was the percent of discount?

Mathematics
2 answers:
lbvjy [14]3 years ago
6 0
There was a 40% discount
ivolga24 [154]3 years ago
3 0
The percentage of discount is 40%
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Pls help me solve this volume problem
Ostrovityanka [42]

Answer:

220

Step-by-step explanation:

First, find the area of the bottom prism.

5x10x3 = 150.

Then find the area of the top prism.

The trapezoid's area is 7, multiply this by 10.

Add your quantities together.

You get 220.

8 0
3 years ago
A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
goldfiish [28.3K]

Answer:

wire for square to maximize total area = 23 m

Wire to minimize total area = 2.019 m

Step-by-step explanation:

For the square, let's say the total length of the square is "y" m.

Thus, length of one side is = y/4

And area of the square = (y/4) = y²/16

Since the wire is 23 m, then total length of equilateral triangle is; 23 - y.

Thus, length of one side of equilateral triangle = (23 - y)/3

Using trigonometric ratio, we can find the height of the triangle and thus area.

Area of triangle = (√3)/4) × ((23 - y)/3)²

Area of triangle = (√3)/36)(23 - y)²

So, total area of square and triangle is;

A_total = (y²/16) + (√3)/36)(23 - y)²

Now, extremizing this function by derivatives, we have;

dA/dy = (y/8) - (√3)/18)(23 - y)

d²A/dy² = ⅛ + (√3)/18)

So, d²A/dy² > 0

Now,let's find the maximum or minimum of the function.

So, we equate dA/dy to zero.

Thus;

(y/8) - (√3)/18)(23 - y) = 0

y/8 = (√3)/18)(23 - y)

(y/8) + (√3)/18)y = 23((√3)/18)

Multiply through by 8 to give;

y + 0.0962y = 2.2132

1.0962y = 2.2132

y = 2.2132/1.0962

y = 2.019 m

2.019 will be a minimum because d²A/dy² > 0

The maximum will occur at a boundary of the allowed values. Thus, the absolute maximum is for y = 23.

Note that a square has more area than a triangle and as such it is normal for the square to get the largest area over the triangle and therefore we will have to use all of the wire to construct the square.

6 0
4 years ago
A landscape contractor planted 37 tulip bulbs, 53 daffodil bulbs, and 82 crocus bulbs in each field. He planted bulbs in 174 fie
SCORPION-xisa [38]
The total number of bulbs the landscape contractor planted is 29,928 so the answer is D.
5 0
3 years ago
Find x in this proportion. 5/2x = 25/4 x=
Diano4ka-milaya [45]
5/2 is the answer.


Have a nive day!
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3 years ago
What is the coefficient of the term -4yz/3
Leya [2.2K]
-4/3 should be the answer
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3 years ago
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