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3 years ago

Can someone please help with this it’s worth 19 points?

Mathematics

1 answer:

nexus9112 [7]3 years ago

6 0

Answer:

54, 36

Step-by-step explanation:

67+59+x=60*3

126+x=180

x=54

54 cones on Sunday

_____________________________________

180+x=54*4

180+x=216

x=36

36 cones on Monday

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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

Anybody know this? Ive been struggling with it for a bit now..

tekilochka [14]

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6 0

2 years ago

While on vacation at the beach, Eleanor drew the figure shown.In Eleanor’s drawing, the measure of ∠FMD is 15°, and the measure

bagirrra123 [75]

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6 0

3 years ago

Read 2 more answers

A triangle is reduced. What is the perimeter of the reduced triangle, in inches.

algol13

Answer:

the perimeter is 36

Step-by-step explanation:

8 0

2 years ago

19. If the scale is 1:100 on a plan, and a fence is 7,500 mm,

marshall27 [118]

Answer:

It will measure 75 millimetres on the plan.

Step-by-step explanation:

Given:

Scale on the plan = 1:100

Length of the fence = 7,500 mm

To find:

how many millimetres will it measure on the plan

Solution:

As the ratio on the plan is 1: 100, the for 7500 the ratio will

x : 7500

Now by cross multiplication we get

$7500 \times 1 = x \times 100$

$7500 = 100x$

$x =\frac{ 7500}{100}$

x = 75

4 0

2 years ago