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babymother [125]
3 years ago
11

What is the total surface area (including the area of the floor) of a building shaped as a hemisphere with radius 106 ft ?

Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

105897 ft²

Step-by-step explanation:

let, r be the radius, so r = 106 ft

Surface area of a hemisphere,

2πr²+πr²

= 2π×106²+π×106²

= 105897 (rounded to the nearest whole number)

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(x+y)^2 (x2+2xy+y2) pleas show all work
lakkis [162]

Answer:

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

​4

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Step-by-step explanation:

1 Use Square of Sum: {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}(a+b)

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({x}^{2}+2xy+{y}^{2})({x}^{2}+2xy+{y}^{2})(x

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2 Expand by distributing sum groups.

{x}^{2}({x}^{2}+2xy+{y}^{2})+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

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​​ (x

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3 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2xy({x}^{2}+2xy+{y}^{2})+{y}^{2}({x}^{2}+2xy+{y}^{2})x

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4 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}({x}^{2}+2xy+{y}^{2})x

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​​ +2x

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​​ y+4x

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​​ y

​2

​​ +2xy

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5 Expand by distributing terms.

{x}^{4}+2{x}^{3}y+{x}^{2}{y}^{2}+2{x}^{3}y+4{x}^{2}{y}^{2}+2x{y}^{3}+{y}^{2}{x}^{2}+2{y}^{3}x+{y}^{4}x

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6 Collect like terms.

{x}^{4}+(2{x}^{3}y+2{x}^{3}y)+({x}^{2}{y}^{2}+4{x}^{2}{y}^{2}+{x}^{2}{y}^{2})+(2x{y}^{3}+2x{y}^{3})+{y}^{4}x

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7 Simplify.

{x}^{4}+4{x}^{3}y+6{x}^{2}{y}^{2}+4x{y}^{3}+{y}^{4}x

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7 0
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iragen [17]

Answer:

x=(y+9)/(1+2w)

Step-by-step explanation:

x-9+2wx=y

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x+2wx=y+9

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Divide both sides by (1+2w)

x(1+2w)/(1+2w)=y+9(1+2w)

x=(y+9)/(1+2w)

5 0
3 years ago
What is the slope of the line represented by the equation 2x+3y= –122x+3y= –12 ?
atroni [7]
The answer to your question is <span>B.-2/3</span>
4 0
3 years ago
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The radius of circle B is 6 centimeters. The area of the shaded sector is 31.42 square centimeters. Calculate the angle of the s
algol13

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100

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i dont know but the website i was on said 100

5 0
3 years ago
I would really appreciate it if someone could answer these as i'm really stuc and its due for tomorrow.
k0ka [10]
1. Round 50.75 to 50 and 0.18 to 0.20.
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3a) Round 8.2 to 8, 6.7 to 7, and 0.46 to 0.50
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3b) Round 23.4 to 20, 13.9 to 10, and 0.18 to 0.20
20 x 10 divided by 0.20 = 2,000

7 0
3 years ago
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