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PtichkaEL [24]
3 years ago
15

A mug and its dimensions are shown. Ben pours hot cocoa into the mug, leaving 0.5 inches empty at the top. Using 3.14 for s, abo

ut how many cubic inches of
hot cocoa does Ben pour into the mug?
3 in.
3.5 in.
A. About 9.14 cubic inches
B. About 21.2 cubic inches
C. About 24.73 cubic inches
D. About 28.3 cubic inches

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
8 0

Answer:

B

Step-by-step explanation:

radius: diameter/2 = 3 /2 = 1.5 in

new height = 3.5 - 0.5 = 3 in

V = radius^2 x 3.14 x height = 1.5^2 x 3.14 x 3 = 21.2 in^3

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Three numbers X, Y, and Z are in the ratio 2:7:8. If 12 is subtracted from Y, then three numbers form a geometric sequence (in t
melomori [17]

Answer:

  (X, Y, Z) = (8, 28, 32)

Step-by-step explanation:

The ratio units will form a geometric sequence if the middle one is the square root of the first and last:

  Y' = √(2·8) = 4

To get this value from 7, we must subtract 3. In the real sequence we must subtract 12, so each "ratio unit" must stand for 12/3 = 4 real units, and the real numbers X, Y, Z are 2·4 = 8, 7·4 = 28, 8·4 = 32.

  (X, Y, Z) = (8, 28, 32)

  (X, Y-12, Z) = (8, 16, 32) . . . . a geometric sequence with a ratio of 2

3 0
3 years ago
Math question.
Oduvanchick [21]

Answer:

C) 25%

Step-by-step explanation:

let salt be 's'

let water be 'w'

\frac{s+1}{w+s+1} = 33\frac{1}{3} \\\\\frac{s+1}{w+s+1} = \frac{1}{3}  \\\\\frac{w + s + 1}{3} = s+1\\\\3s +3 = w+s+1\\w = 2s+2\\\\\frac{s+1}{w+1+s+1} = \frac{3}{10} \\\\\frac{3(w+s+2)}{10} = s+1\\\\3w+3s+6 = 10s+10\\**w = 2s+2\\3(2s+2) + 3s + 6 = 10s+10\\\\6s+6+3s+6 = 10s+10\\9s+12 = 10s+10\\-s = -2\\s = 2\\\\w= 2s+2\\w=2*2+2\\w = 6\\\\\frac{2}{2+6} = \frac{2}{8} = 0.25

0.25 = 25%

7 0
2 years ago
What is the surface area of the square pyramid represented by the net?
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Answer:

<h2>7,938 Is the Area, do you need the perimiter?</h2>

Step-by-step explanation:

5 0
3 years ago
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The length of a rectangle is 2 inches more than twice its width, and its perimeter is 60 inches. Find the length and width of th
elena-14-01-66 [18.8K]

Answer:

2 + 2w

w = 9.3in

l = 20.7 in

Step-by-step explanation:

Perimeter of a rectangle = 2 x (length + breadth)

legnth = 2 + 2w

width = w

2 x (2 + 2w + w ) = 60

(2 + 2w + w ) = 30

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w = 9.3

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3 years ago
What does this symbol "ll” mean?
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4 years ago
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