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Jobisdone [24]
3 years ago
9

1" title=" \sqrt{2 + \sqrt{2 + \sqrt{2} } } " alt=" \sqrt{2 + \sqrt{2 + \sqrt{2} } } " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
tatiyna3 years ago
6 0
The answer is 1.961571
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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
How many repeating digits are in 0.536? ​
Shkiper50 [21]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
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Which two triangles are congruent? Complete the congruence statement.​
fomenos

Answer:

ΔSTU ≅ ΔBDC

Step-by-step explanation:

In ΔSTU and ΔBDC,

∠S ≅ ∠B [Given]

∠T ≅ ∠D [Given]

SU ≅ BC [Given]

Since, two corresponding angles and non included side of the angles are equal in measure.

Therefore, ΔSTU ≅ ΔBDC [By AAS property of congruence]

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2 years ago
Henry is asked to find the exact value of cosine StartFraction 10 pi Over 3 EndFraction. His steps are shown below. 1. Subtract
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A. The reference angle should be pi/3, and the sign of the value should be negative.

Step-by-step explanation:

Just took the unit review.

3 0
3 years ago
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A local museum had a total of 38,627 vsitors last year. The museum was open everyday except for four holidays. On average how ma
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38,627/361 = 107.

107 people visit the museum every day according to the information given.

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3 years ago
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