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Zigmanuir [339]
3 years ago
7

Find the volume of the right cylinder. Round your answer to two decimal places.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
8 0
Volume of a cylinder = πr²h

Volume of the cylinder = π (2 3/16)² (3)
Volume of the cylinder= 45.10 in³


Answer: 45.10 in³
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Find the midpoint of the line segment joining the points (-1, - 2) and (-7, 11).
Feliz [49]

Step-by-step explanation:

midpoint is = (x1 + x2)/2, (Y1+Y2)/2

=(-1+-7)/2, (-2+11)/2

=(-8/2,9/2)

=(-4,4.5)

6 0
3 years ago
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Find the volume of given prism<br> Ans: 176000cm3​
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Step-by-step explanation:

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3 years ago
The third term of the sequence is 120. The fifth term is 76.8 The explicit rule for the geometric sequence is an=?(?)n-1
gulaghasi [49]

Answer:

The explicit rule of the geometric sequence

 aₙ   = 187.5 (0.8)ⁿ⁻¹

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the third term of the sequence = 120

        tₙ = a rⁿ⁻¹  

       t₃  = a r³⁻¹ = ar²

        120 = ar² ..(i)

Given that the fifth term of the given geometric sequence = 76.8

        tₙ = a rⁿ⁻¹  

       t₅  = a r⁵⁻¹ = a r⁴

   76.8  = a r⁴...(ii)

<u><em>Step(ii):</em></u>-

 Dividing (ii) and (i)

         \frac{ar^{4} }{ar^{2} } = \frac{76.8}{120}

        r²   = 0.64

       r    =√ 0.64 = 0.8

Substitute r= 0.8 in equation (i)

         120 = ar²

       120 = a(0.8)²

⇒      a = \frac{120}{0.64} =187.5

<u><em>Step(iii):-</em></u>

The explicit rule of the geometric sequence

                 aₙ  = a rⁿ⁻¹

put a= 187.5  and r = 0.8

                aₙ   = 187.5 (0.8)ⁿ⁻¹

 

7 0
3 years ago
Graph the function f(x)= -.05x+3
GREYUIT [131]

Answer:

Step-by-step explanation:

Slope:  

−

0.05

y-intercept:  

3

x

y

0

3

1

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7 0
3 years ago
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