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2 years ago

13

there were 138 students and 32 adults at a concert if 85% of the seats were filled how many seats are in the auditorium round yo

ur answer to the nearest percent

1 answer:

natta225 [31]2 years ago

8 0

Answer:

200 seats

Step-by-step explanation:

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is

harina [27]

To find how far the boat is from the bottom of the cliff is you’ll use tan;

Tan18degrees=120/x

x=120/tan18degrees

x=369m

4 0

3 years ago

How do you express height in feet by only using a mixed number

guajiro [1.7K]

Height and then the inches over 12.
Ex. 5'4" = 5 4/12 or 5 1/3

8 0

4 years ago

Chong thinks of a Number adds 10 and then multiplies the number so obtained by 3, and get 42. If the number is n then write an e

eimsori [14]

Answer:

The equation for this is: $3(n+10) = 42$

Step-by-step explanation:

We have that the number though is n.

Adds 10:

This means that now we have: $n + 10$

Multiplies by 3:

This means that now we have: $3(n+10)$

Gets 42:

This means that: $3(n+10) = 42$

6 0

3 years ago

Stephanie just redecorated her bedroom. She wants to paint her door green but needs to know the surface area of the door to see

Alona [7]

Answer:The surface area of the door is 33,680

Step-by-step explanation:

The answer is correct.

3 0

3 years ago