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3 years ago

Suppose each square on the grid shown is 1 cm by 1 cm. Estimate the area of the figure.

Mathematics

1 answer:

finlep [7]3 years ago

5 0

Answer:

10cm cm2

Step-by-step explanation:

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A woman is emptying her aquarium at a steady rate with a small pump. The water pumped to a 12-in.-diameter cylindrical bucket, a

Temka [501]

Answer:

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

Step-by-step explanation:

Given that,

The diameter of cylindrical bucket = 12 in.

Depth is increasing at the rate of = 4.0 in per minutes.

i.e $\frac{dh_1}{dt}=4$

$h_1$ is depth of the bucket.

The volume of the bucket is V = $\pi r^2 h$

$=\pi \times 6^2\itimes h_1$

$\therefore V=36\pi h_1$

Differentiating with respect yo t,

$\frac{dV}{dt}=36\pi \frac{dh_1}{dt}$

Putting $\frac{dh_1}{dt}=4$

$\therefore\frac{dV}{dt}=36\pi\times 4$

The rate of volume change of the bucket = The rate of volume change of the aquarium .

Given that,The aquarium measures 24 in × 36 in × 18 in.

When the water pumped out from the aquarium, the depth of the aquarium only changed.

Consider h be height of the aquarium.

The volume of the aquarium is V= ( 24× 36 ×h)

V= 24× 36 ×h

Differentiating with respect to t

$\frac{dV}{dt}=24\times 36 \times \frac{dh}{dt}$

Putting $\frac{dV}{dt}=36\pi\times 4$

$36\pi\times 4= 24\times 36\times \frac{dh}{dt}$

$\Rightarrow \frac{dh}{dt}=\frac{36\pi \times 4}{24\times 36}$

$\Rightarrow \frac{dh}{dt}=\frac{11}{21}$

Therefore the rate at which water level is dropping is $\frac{11}{21}$ in per minute.

7 0

4 years ago

An asset is purchased for $100,000. What is the value after the first three years using a depreciation rate of 5%? A. $12,500 B.

melisa1 [442]

A=100,000×(1−0.05)^(3)
A=85,737.5

8 0

3 years ago

How many kids does it take to eat 1/3 of a cakw

cricket20 [7]

Answer:

1 -2 Kids

Step-by-step explanation:

Umm Used my brain

3 0

4 years ago

Read 2 more answers

Graph the following number on the number line below <br> 16/4, -2.7, 1.75, 1/5

Papessa [141]

Assuming that you need to place the numbers on a number line;

1) Convert all numbers in one form, be it fraction or decimals

16/4 = 4
-2.7 = -2.7
1.75 = 1.75
1/5 = 0.2

2) Draw a number line with zero in the middle and positive numbers going to the right. The negative numbers go on left.

3) Place the decimal/fraction numbers into the number line, using a constant interval.

Hope I helped :)

8 0

4 years ago

How many MP3 players in the shipment would you predict to be damaged if 6 MP3s in the sample had been damaged

malfutka [58]

Given that there is a little information I would say all is damaged.

5 0

4 years ago

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