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dybincka [34]
2 years ago
15

A piece of wire 24 ft long is cut into two pieces. One piece is used to form a square, and the remaining piece is used to form a

circle. Where should the wire be cut so that the combined area of the two figures is a maximum? (Round your answers to two decimal places.)
length of the wire used for the square = ? ft

length of the wire used for the circle = ? ft

Where should the wire be cut so that the combined area of the two figures is a minimum? (Round your answers to two decimal places.)

length of the wire used for square = ? ft

length of the wire used for circle = ? ft
Mathematics
1 answer:
abruzzese [7]2 years ago
5 0

Answer:

SAY WHAT

Step-by-step explanation:

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A multi-layer cake is in the shape of a right cylinder. The height of the cake is 20 centimeters, and its radius is 10 cm. If ea
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Answer:

There are total 5 layers.

Step-by-step explanation:

A multi-layer cake is in the shape of a right cylinder.

Height of the cake is = 20 cm

Radius is = 10 cm

Each of the cake layers has a volume of approximately 1,250 cm³.

Means, the volume of 1 cylindrical layer is 1250 cubic cm with radius as 10 cm and we have to find the height.

Volume of the cylinder is given as:

V=\pi r^{2} h

1250=3.14\times(10)^{2}\times h

1250=314 h

h=\frac{1250}{314}

h = 3.98 or approximately height of 1 layer is 4 cm.

As the cake's height is 20 cm so, there are \frac{20}{4}=5 layers in the cake.

Answer: There are 5 layers in the cake.

5 0
2 years ago
Brad wants to buy flowers for his friend with $15. The daisies are $1 each and the roses are $3 each. He buys 3 more daisies tha
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D + 3r = 15
d = r + 3

r + 3 + 3r = 15
4r + 3 = 15
4r = 15 - 3
4r = 12
r = 12/4
r = 3 ....he bought 3 roses, at $ 3 per rose = $ 9 <==

d = r + 3
d = 3 + 3
d = 6....he bought 6 daisies, at $ 1 per daisy = $ 6
6 0
2 years ago
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A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between
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The Set Up:

x² = (Side1)² + (Side2)² - 2[(Side1)(Side2)]

Solution:

cos(Toby's Angle) • x² = 55² + 65² - 2[(55)(65)] cos(110°)

x² = 3025 + 4225 -7150[cos(110°)]

x² = 7250 - 2445.44x =

√4804.56x = 69.31m

The distance, x, between two landmarks is 69.31m.

Note: The answer choices given are incorrect.

3 0
1 year ago
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Jamiyah and Samantha went to a grocery store and purchased a bag of 39 apples. Let x represent the Jamiyah's portion of the appl
ira [324]

Answer:

x+y=39

Step-by-step explanation:

8 0
1 year ago
Three years ago Tom was twice as old as Jean, and in two years the sum of their ages will be 28 years. Find their present ages.
lubasha [3.4K]

Answer:

Jean is 9 and Tom is 15.

Step-by-step explanation:

3 years ago, Tom was 12 and Jean was 6, hence Tom was twice as old as Jean.  

Since that was their age 3 years ago, they are currently 15 (Tom) and 9 (Jean).  

Add 2 years to each of these ages, you get 17 and 11.

17 + 11 = 28

3 0
2 years ago
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