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3 years ago

12

Solve: 1/4 a = 4/15

1 answer:

ValentinkaMS [17]3 years ago

6 0

Answer:

a = 1 1/15

Step-by-step explanation:

1/4 a = 4/15

Multiply each side by 4 to isolate a

4 * 1/4a = 4 * 4/15

a = 16/15

a = 1 1/15

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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.

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4 years ago

Question in photo, Please Help

quester [9]

The answer would be 28 feet, to get area you do length times width, 7 x 4 = 28

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Answer:

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Step-by-step explanation:

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3 years ago

A circle has an area of 2827.4333. What is the radius? (round to the nearest whole number)

Ghella [55]

The answer is 29.9999The nearest whole number is 30.

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3 years ago

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Marcel bought a new hat for $21.99 and 2 pairs of socks for $3.99each. What is the total price, including a 7.5% sales tax?

NNADVOKAT [17]

Cost of a hat bought by Marcel = $\$ 21.99$

Cost of a pair of socks = $\$ 3.99$

Cost of 2 pair of socks = $2 \times 21.99$ = $\$ 7.98$

Total price of hat and two pair of socks = $\$ (21.99 + 7.98) = \$ 29.97$

A sales tax of $7.5 \%$ on this purchase = $7.5 \% \times \$29.97$

= $\frac{7.5}{100} \times 29.97$ = $\$$ 2.25

Therefore, the total price including the sales tax = $\$ 29.97 + \$ 2.25$

= $\$ 32.22$

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3 years ago