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JulijaS [17]
3 years ago
5

The radius of a sphere, r, is given by the formula below, where s is the surface area of the sphere. A spherical balloon has a m

aximum surface area of 1,500 square centimeters. Use the given formula to write a function, r(s), that models the situation. Then, use the function to predict how the radius of the balloon changes as the balloon is inflated. As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached. As the surface area of the balloon increases, the radius of the balloon increases without bound. As the surface area of the balloon increases, the radius of the balloon decreases without bound. As the surface area of the balloon increases, the radius of the balloon decreases until the maximum surface area is reached.
Mathematics
2 answers:
timofeeve [1]3 years ago
6 0

Answer:

i have to add an answer to see the answer lol sorry my brainly is broken

Step-by-step explanation:

liraira [26]3 years ago
5 0
The formula for the radius of a sphere is:
r(s) = sqrt[s/(4pi)]
This is based on the formula that s = 4pi*r^2

As can be seen, as the surface area increases, s/4pi increases, and sqrt(s/4pi) will also increase, meaning that the radius will increase. This continues until the balloon reaches the maximum s = 1500 cm^2.

The correct answer is the first choice:
<span>As the surface area of the balloon increases, the radius of the balloon increases until the maximum surface area is reached.</span>
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How to do this question plz answer my question ​
Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so 45\cdot100=4500 m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula \pi r^2

The diameters are given here, which is double the radius, so to find the radius of each circle let's divide the diameters by 2.

First circle's radius: 20\div2=10

Second circle's radius: 10\div2=5

Third circle's radius: 5\div2=2.5

Now let's find the area of each circle.

<em>First Circle</em>: \pi \cdot10^2 = \pi\cdot100=3.14\cdot100=314

<em>Second Circle</em>: \pi\cdot5^2 = \pi \cdot25 = 3.14\cdot25=78.5

<em>Third Circle:</em> \pi \cdot 2.5^2 = \pi \cdot6.25 = 3.14\cdot6.25=19.625

Adding all of these values gets us 412.125.

Now we can subtract from this from 4500 to get us 4087.875

If the grass seeds that cost £1.49 cover 50m² each, then we need 4087.875\div50=81.7575 bags.

Each bag costs £1.49, so the total cost is 81.7575\cdot1.49\approx121.82

Hope this helped!!

5 0
3 years ago
Find the area of the composite figure.
dmitriy555 [2]

Answer:

B. 200.5 \:  {m}^{2}

Step-by-step explanation:

Area of the composite figure = Area of square with side length 12 m + Area of semicircle with radius (12/2= 6) 6 m

=  {(12)}^{2}  + \frac{1}{2}  \pi {r}^{2}  \\  \\  = 144 +  \frac{1}{2} \times  3.14(6)^{2}  \\  \\  = 144 + \frac{1}{2}   \times 3.14 \times 36 \\  \\  = 144 + 56.52 \\  \\  = 200.52 \:  {m}^{2}  \\  \\  \approx \: 200.5 \:  {m}^{2}

5 0
3 years ago
!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Kruka [31]
Minus 1 both sides
x²-8x=-1

take 1/2 of the linear coefient and square it
-8 is the linear coefient
-8/2=-4, (-4)²=16
add 16 to both sides

x²-8x+16=16-1
factor perfect squaer trinomial
(x-4)²=15
square root both sides, remember to take positive and negative roots
x-4=+/-√15


not exactly sure what to put in the blnaks

but
the solutions are x=4+√15 and x=4-√15
5 0
3 years ago
if you have a pond which is 8 metres long 4 metres wide and 2 metres deep what is the volume of the pond
vichka [17]
Volume=L*w*h
Volume=8*4*2
Volume=64 meters cubed
7 0
3 years ago
6 times the diffrence of 12 and 9 divided by 3​
tester [92]

Answer:

1

Step-by-step explanation:

The difference of 12 and 9 is 12 - 9 = 3

Then 3 ÷ 3 = 1

5 0
3 years ago
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