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ELEN [110]
2 years ago
10

G(1) = 5 0 g(n) = -1.g(n-1) - 4 = - g(2) =

Mathematics
1 answer:
e-lub [12.9K]2 years ago
6 0

Answer:

g

Step-by-step explanation:

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A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
Vlad1618 [11]

Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

5 0
3 years ago
Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary,
olya-2409 [2.1K]
A= 2(w l + h l + h w) = 224m^2
7 0
3 years ago
Question 6(Multiple Choice Worth 5 points)
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Question 6: $38.82
question 7: t=5w
question 8: which blood type does the leaf number of people have
3 0
2 years ago
Read 2 more answers
Write the slope intercept form of the equation of the line through the given point with the given slope through (-2,5),slope-3/2
hjlf
Answer: y= -3/2x + 2
y= -3/2 + b
5 = -3/2 * -2 + b
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6 0
3 years ago
Help The area of a square
DIA [1.3K]

Answer:

2551\dfrac{1}{2}

Step-by-step explanation:

\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in

\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in

Volume of rectangular prism = l*w*h

                                                 = \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches

3 0
1 year ago
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