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4 years ago

4w=276 I'm confused please help me

Mathematics

1 answer:

gtnhenbr [62]4 years ago

5 0

Divide 4 on both sides. 276 divided by 4 equals 69. final answer: w=69

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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

3 years ago

Find the area and perimeter of each composite figure. 1. 18 m 13 m 10 m 30 m

sergejj [24]

Sorry if I am wrong I am not 100% sure I think it’s 13

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3 years ago

Given: KL || MN Prove: KM/JM = LN/JL

jeka94

Answer:

See the bolded parts below. It corresponds to the blanks we have to fill in for each step.

Step-by-step explanation:

Taking a look at the figure, we see that KL ║ MN, ( which is given, as you can see ) while MJ and NJ act each as a transversal. This is a key point that will help us.

2. For step 2, we see that ∠JKL ≅ ∠JMN, while ∠JLK ≅ ∠JNM. This is true is they are present as corresponding angles, on either transversal. We can fill in this blank with " Corresponding angles. "

3. Therefore, for this 3rd step triangles JKL and JMN will be similar by " angle angle similarity. " After all, ∠JKL ≅ ∠JMN / ∠JLK ≅ ∠JNM.

4. This step can be proved by the " Proportionality of Corresponding Parts in Similar Triangles. " As you can see, the triangles are similar - and hence their parts correspond to one another.

5. I believe you mean step 5 to be " JM = JK + KM and JN = JL + LN. " That being said this is true by the " Partition Postulate, " which states that a whole is composed of it's parts.

6. This step substituted the 5th step into the 4th step. Therefore, it can be stated as " Substitute step 5 ➡ step 4. "

7. And for this last step here you can say " Simplify further. "

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4 years ago

Clarksville Middle School spends $14 for every workbook it buys. At most how many workbooks can Clarksville Middle School buy if

LuckyWell [14K]

Answer

coochie man

Step-by-step explanation:

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3 years ago

Find the quotient. 2/5 divided by 5/9 equals

irga5000 [103]

Answer:

Exact form: $\frac{18}{25}$

Decimal form: 0.72

Step-by-step explanation:

Reduce the expression, if possible by cancelling the common factors.

5 0

3 years ago

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