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riadik2000 [5.3K]
3 years ago
14

Trayvon has a mug shaped like a hemisphere. Its diameter is 18 cm. To the nearest hundredth, what is the capacity of her mug?

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

The capacity of the mug is 1,527.43 cm^3

Step-by-step explanation:

In this question, we are asked to calculate the capacity of the hemisphere. This is same as calculating the volume of the hemisphere.

A hemisphere is a sharpe which is half a sphere. Meaning to get a hemisphere, we shall be diving a sphere into 2.

Mathematically, the volume of a hemisphere V = 2/3 * π * r^3

Since D = 18cm , r = D/2 = 18cm/2 = 9 cm

The volume V is thus = 2/3 * 22/7 * 9^3

V = 1,527.428 cm^ 3

To the nearest hundredth,

V = 1,527.43 cm^3

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Answer:

x ≤ -27

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3 years ago
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How many 'words' can be made from the name ESTABROK with no restrictions
Bumek [7]

The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

<h3>How to determine the number of ways</h3>

Given the word:

ESTABROK

Then n = 8

p = 6

The formula for permutation without restrictions

P = n! ( n - p + 1)!

P = 8! ( 8 - 6 + 1) !

P = 8! (8 - 7)!

P = 8! (1)!

P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1

P = 40, 320 ways

Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

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brainly.com/question/4658834

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6 0
1 year ago
If there are 10 South American butterflies and you're comparing 3:2 and 2 is European birds and 3 is South American birds how ma
zvonat [6]
So 3:2
and there are 10 south american butterflies then it would be 10/3 =? and that number *2
3 0
3 years ago
The student council at Livingston High School is making T-shirts to sell for a fundraiser, at a price of $16 apiece. The costs,
Allushta [10]

Answer:

5 shirts must be sold.

Step-by-step explanation:

First, set up the equation. Each shirt (x) is sold for $16:

For every amount (y) for x: (y)(x) = (16)(y)

The cost is $4, with the setup fee as $60.

(16)(y) = (4)(y) + 60

16y = 4y + 60

Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. First, subtract 4y from both sides.

16y (-4y) = 4y (-4y) + 60

16y - 4y = 60

12y = 60

Next, isolate the variable (y). Divide 12 from both sides.

(12y)/12 = (60)/12

y = 60/12

y = 5

5 shirts must be sold.

To check, plug in 5 for y in the equation:

16y = 4y + 60

16(5) = 4(5) + 60

Simplify.

16(5) = 4(5) + 60

80 = 4(5) + 60

80 = 20 + 60

80 = 80 (True).

~


7 0
3 years ago
Carlos has used 40 cell phone minutes each day for one full week. His cell phone plan allows for a total of 320 minutes per week
Vesnalui [34]
320/40 which you simplify.
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3 years ago
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