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IRISSAK [1]
3 years ago
5

Hm

Mathematics
2 answers:
melomori [17]3 years ago
6 0

Answer:

108m

Step-by-step explanation:

Hello, to find the height of the bigger triangle, you take the width of the bigger triangle and divide by the width of the smaller triangle like this:

72/0.8=90

Then, you take 90 and you multiply it by the height of the smaller triangle like this:

1.2 x 90= 108

So the height of the bigger triangle is 108m.

JulijaS [17]3 years ago
5 0
I’m pretty sure it is 108m
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Answer:

N= -2

Step-by-step explanation:

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A rectangle has a length of (x + 4) feet and a width of (x + 7) feet. The expression
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Answer:

A

Step-by-step explanation:

No need. It’s simple.

B can’t be it because it uses multiplication.

C can’t be it because it makes no sense.

D also makes no sense.

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3 years ago
Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra
bearhunter [10]

Answer:

\frac{dh}{dt}=-\frac{1}{2\pi}cm/min

Step-by-step explanation:

From similar triangles, see diagram in attachment

\frac{r}{4}=\frac{h}{16}


We solve for r to obtain,


r=\frac{h}{4}


The formula for calculating the volume of a cone is

V=\frac{1}{3}\pi r^2h


We substitute the value of r=\frac{h}{4} to obtain,


V=\frac{1}{3}\pi (\frac{h}{4})^2h


This implies that,

V=\frac{1}{48}\pi h^3


We now differentiate both sides with respect to t to get,

\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}


We were given that water is drained out of the tank at a rate of 2cm^3/min


This implies that \frac{dV}{dt}=-2cm^3/min.


Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means h=8cm.


We substitute this values to obtain,


-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}


\Rightarrow -2=4\pi \frac{dh}{dt}


\Rightarrow -1=2\pi \frac{dh}{dt}


\frac{dh}{dt}=-\frac{1}{2\pi}






3 0
4 years ago
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