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3 years ago

Help ill Mark brainlist :)

Mathematics

1 answer:

Marianna [84]3 years ago

6 0

Answer:

The area would be 40.5 cm ^2

Step-by-step explanation:

Well first you don’t gotta worry about some isosceles trapezoid thingy.

You just gotta know the formula for a trapezoid is (b1+b2)/2)h

B1 in this case is or base 1 (9 or 4.5)

b2 in this case is or base 2 (9 or 4.5)

(you can only choose one base for each)

ANd you add those 2 up and you’d get 13.5

13.5/2 which is 6.75

Now we multiply it by the height which is 6 and gte 40.5

40.5cm ^2 is the final answer

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A spherical balloon is inflating with helium at a rate of 64 pi StartFraction ft cubed Over min EndFraction . How fast is the b

olga2289 [7]

Answer:

The radius of the balloon is increasing at a rate of 4 feet per minute.

Step-by-step explanation:

We are given the following in the question:

$\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}$

Volume of sphere is given by

$V = \dfrac{4}{3}\pi r^3$

where r is the radius of the balloon.

Instant radius, r = 2 ft

Rate of change of volume =

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}$

Putting values, we get,

$64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4$

Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.

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