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artcher [175]
4 years ago
15

the globe arena in stockholm, sweden is the worlds largest hemispherical bulilding. the diameter of the arena is 110 meters. the

globe arena is not a complete sphere, but if it were, what would iys volume be? round the volume to the nearest hundredth
Mathematics
1 answer:
AlladinOne [14]4 years ago
8 0
The volume of a complete sphere is

                               V = (4/3 π) · (radius)³ .

The arena is not a complete sphere.
It's just half of a sphere.
So its volume is

                                 V = (2/3 π) · (radius)³

                                     = (2/3 π) · (55 m)³

                                     = (2/3 π) · (166,375 m³) .

                                     =      348,454.9852 m³

                                     =      348,454.99  m³ .  when rounded
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Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: MN ≅ MA ME ≅ MR Prove: ∠E ≅ ∠R
pogonyaev

Answer:

Step-by-step explanation:

Given: MN ≅ MA

          ME ≅ MR

Prove: ∠E ≅ ∠R

From the given diagram,

YN ≅ YA

EY ≅ RY

<EMA = <RMN (right angle property)

EA = EY + YA (addition property of a line)

NR = YN + RY (addition property of a line)

EA ≅ NR (congruent property)

ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)

<MNR ≅ MAE (angle property of congruent triangles)

Therefore,

<E ≅ <R (angle property of congruent triangles)

7 0
3 years ago
A gift box has a volume of 450 cubic inches. The width of the box is 4 inches less than the length. The height is twice the widt
VashaNatasha [74]

Answer:

width = 5 in

length = 5+4=9 in

height = 2(5)= 10 in

Step-by-step explanation:

A gift box has a volume of 450 cubic inches.

Let 'w' be the width of the box

The width of the box is 4 inches less than the length.

length = w+4

The height is twice the width.

height = 2 \cdot width

height = 2w

Volume of box = length times width times height

V=(w+4)(w)(2w)

450=(w+4)(w)(2w)

450=2w^3+8w^2

2w^3+8w^2-450=0

\quad 2\left(w-5\right)\left(w^2+9w+45\right)=0

w-5=0

w=5

\quad\left(w^2+9w+45\right)=0, this gives two complex values

so width = 5

length = 5+4=9

height = 2(5)= 10

5 0
3 years ago
Ineed help help me please
melamori03 [73]
The symbol ₁₂P₉ represents the permutations of 9  quantities out of 12.
By definition,
_{12}P_{9} =  \frac{12!}{(12-9)!} = \frac{12!}{3!}

From the calculator,
12! = 479,001,600
3! = 6

Therefore
₁₂P₉ = 479001600/6 = 79,833,600

Answer: 79,833,600
8 0
3 years ago
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?
aleksandrvk [35]
To solve this problem, we must simplify the the equation:
<span>Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):

</span>#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)<span>
#2 -7m - 8 = -4 + m (Most Simplified Equation)

The answer your would be the 2nd one. </span>-7m - 8 = m - 4
<span>
If I helped you out, please give me a gold crown. :)

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3 0
3 years ago
Read 2 more answers
От
enot [183]

Answer:

2.75 miles, 14520 feet

Step-by-step explanation:

11 miles/4=2.75

1 mile=5280 feet

2.75 miles=14520 feet

6 0
3 years ago
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