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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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Find the area of the circle.<br> Use 3.14 for it.<br> d = 6 ft<br> A = [?] ft2<br> A=Tr2
Sedaia [141]

Answer:

28.26  ft^2

Step-by-step explanation:

Area of a circle is calculated using the following formula :

πr^2 (r: radius, and π is given as3.14)

the diameter is given as 6 and radius is equal to half of it so :

(3.14)*3^2 = 28.26  ft^2

3 0
3 years ago
A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W
crimeas [40]

Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

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3 years ago
Find the sum of the sequence 31+32+33+34...+94
Nana76 [90]

Answer:

4000

Step-by-step explanation:

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The equation x+5=27 is solved below. When we describe the first step we say that we "Subtract 5 from both sides." We do not say
vagabundo [1.1K]

Answer:

If you were to move five to the other side, the equation would have a completely different outcome. Instead of x + 5 = 27 it would be x = 27 + 5. Then the answer would be x=32 rather than x=22. You need to do the inverse of the original equation to get the correct solution. (AKA: balancing the equation)

I hope this helps :))

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Savatey [412]

Answer:

Pls give question:0

Step-by-step explanation:

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