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-Dominant- [34]
3 years ago
14

(geometry) This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the base are always rectangles tha

t are 5 inches wide by 4 inches long.
(a) If we assume the crystal itself has no thickness, what would be the volume of the base?
(b) The crystal is actually half an inch thick on each of the sides and on the bottom. Approximately how much space is contained within the vase?
Mathematics
1 answer:
enot [183]3 years ago
7 0

Answer:

A. 9

B. 7

Step-by-step explanation:

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A box holding pennies, nickels and dimes contains thirteen coins with a total value of 83 cents. How many coins of each type are
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Answer:

The number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

Further explanation:

Given:

A box holding pennies, nickels and dimes contains thirteen coins in a box.

Total value is 83 cents.

Calculation:

Consider p,n and d be the number of pennies, nickel and dimes.

Now, total is 13 coins so p+n+d=13

As we know that these following are US coin.

Penny=1 cent

Nickel=5 cents

Dime=10 cents

Step 1:

The value is already given as 83 cents that is 80+3 cents.

80 cents can be possible in many combinations as follows:

(N,D)=(0,8),(2,7),(4,6),(6,5),(8,4),(10,3),(12,2),(14,1),(16,0)

It is given that the total number of cents is 13 so we choose (4,6) as (n,d) .

So the value of nickel n=4

Dimes d=6

Step 2:

The value of p is calculated as follows:

Substitute 4 for n, 6 for d in equation p+n+d=13 as follows:

p+4+6=13

p+10=13

p=13-10

p=3

Thus, the number of pennies,nickels and dimes are (p,n,d)=(3,4,6).

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3 years ago
What is the solution of StartRoot x minus 4 EndRoot + 5 = 2? x = –17 x = 13 x = 53 no solution
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Answer:

the answer is d NO SOLUTION

Step-by-step explanation:

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A sector is cut out from a circular sheet of paper, and the two edges of the cut are joined together (with no overlap) to form a cone. The cone formed has radius 6 and volume 96 pie . What is the number of degrees in the sector that was cut off?

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