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3 years ago

10

What is the maximum volume of water a hamster bath could hold with a deph of 1 2/3 , a length of 2 1/3 inches and width of 2 inc

hes.

1 answer:

lidiya [134]3 years ago

7 0

Answer:

$7\frac{7}{9}in^{3}$

Step-by-step explanation:

Volume of a prism can be found using the general formula:

V = l x w x h, where l = length, w = width and h = height

Given the dimensions of l = $2\frac{1}{3}in$ ; w = $2in$ and h = $1\frac{2}{3}in$ , you can first convert your mixed numbers to improper fractions and then multiply.

$2\frac{1}{3}in$ = $\frac{5}{3}$

$1\frac{2}{3}in$ = $\frac{7}{3}$

V = $\frac{5}{3}*\frac{7}{3}*\frac{2}{1}=\frac{70}{9}=7\frac{7}{9}in^{3}$

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Given: m∠V=103°, m∠VRT=71°, RS ∥ VU Find: m∠TRS, m∠U

lawyer [7]

Answer:

m∠U = 103° and m∠TRS = 6°

Step-by-step explanation:

In the given circle O,

Since, RS║VU, and VR is a transverse,

Therefor, m∠V + m∠R = 180° [Consecutive interior angles]

m∠R + 103° = 180° [m∠R = 103° given]

m∠R = 180° - 103°

m∠R = 77°

Since m∠R = m∠VRT + m∠TRS

77° = 71° + m∠TRS

m∠TRS = 77° - 71° = 6°

Quadrilateral RTUV is a cyclic quadrilateral.

Therefore, m∠U + m∠R = 180°

m∠U + 77° = 180°

m∠U = 180° - 77° = 103°

5 0

4 years ago

Solve for the equation.<br> -3(2x-3)+10x=39

andreyandreev [35.5K]

The answer for this equation is x=3

8 0

3 years ago

Read 2 more answers

The Half-life of a certain substance is 20 mins. You start with 45 mg of the substance

DochEvi [55]

a. Remaining amount after t minutes = 45 * $(1/2)^{\frac{t}{20 }$

b. 0.010986 mg

c. 109.84 minutes

Step-by-step explanation:

Step 1:

The decay of the substance is exponential. It is given that half life is 20 minutes and initially we start with 45 mg. So in 20 minutes we will have remaining amount 45/2, in 40 minutes remaining amount will be 45/4 etc.

This can be modeled by the equation:

Remaining amount after t minutes = Original amount * $(1/2)^{\frac{t}{t_{1/2} }$

where $t_{\frac{1}{2}}$ represents the half life.

The half life for this substance is 20 minutes.

Hence the Remaining amount after t minutes = 45 * $(1/2)^{\frac{t}{20 }$

Step 2:

We need to calculate the amount remaining after 4 hours (240 minutes).

Substituting t = 240 in above equation we get

Amount remaining after 4 hours = 45 * $(1/2)^{\frac{240}{20 }$ = 0.010986 mg

Step 3:

We need to calculate the time taken when 1 milligram is left. Substituting in the equation we get

1 = 45 * $(1/2)^{\frac{t}{20 }$

Taking log on both sides we get

t = $\frac{20 ln (1/45)}{ln 1/2}$ = 109.84 minutes

Time taken for 1 mg of the substance to be left = 109.84 minutes

Step 4 :

Answer :

a. Remaining amount after t minutes = 45 * $(1/2)^{\frac{t}{20 }$

b. 0.010986 mg

c. 109.84 minutes

7 0

4 years ago

Plz help me thanks!<br> 1+1=?

Elenna [48]

Answer:

2

Step-by-step explanation:

2 sometimes people believe 1+1 =3 lol

4 0

3 years ago

Find each percent of change round answers to the nearest tenth of a percent if necessary (25 is decreased to 18)

pashok25 [27]

Answer:

$\%Change = -28\%$

Step-by-step explanation:

Given

25 decreased to 18

Required

Determine the percentage change

This is calculated as follows:

$\%Change = \frac{Initial\ Value - New\ Value}{Initial\ Value} * 100\%$

In this case:

$Initial\ Value = 25$

$New\ Value = 18$

So, the formula becomes

$\%Change = \frac{18 - 25}{25} * 100\%$

$\%Change = -\frac{7}{25} * 100\%$

$\%Change = -\frac{7* 100\%}{25}$

$\%Change = -\frac{700\%}{25}$

$\%Change = -28\%$

<em>Hence, the change is 28% decrease</em>

8 0

3 years ago