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zvonat [6]
3 years ago
15

A different aquarium should contain 15,000 liters of water when filled correctly. It will overflow if it gets to 17,600 liters.

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
3 0

Step-by-step explanation:

How much hours have passed?

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If a = 7 and b = 11, what is the measure of ∠B? (round to the nearest tenth of a degree) A) 32.5° B) 39.2° C) 50.5° D) 57.5°
Ilia_Sergeevich [38]

Answer:

D) 57.5°

Step-by-step explanation:

As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.

Pythagoras Theorem = c^{2} = a^{2} + b^{2}

a = 7 and b = 11

a^{2} = 49

b^{2} = 121

Plugging in the values, we will get:

c^{2} = 49 + 121

c^{2} = 170

c = \sqrt{170}

To calculate the unknown angle B, we can use law of sine.

Law of sine = \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

So,

\frac{c}{sinC} = \frac{b}{sinB}

\frac{\sqrt{170} }{sin90} =  \frac{11}{sinB}

Sin90 = 1

sinB = \frac{11}{\sqrt{170} }

B = sin^{-1} (\frac{11}{\sqrt{170} })

B = 57.5°

8 0
3 years ago
Which line has the same slope as the line passing through (- 4, -1) and (-1, 8)
Troyanec [42]

The slope is [ 8 - (-1) ] / [ -1 - (-4) ] = 9 / 3 = 3;

The line has the equation: y - 8 = 3( x + 1);

y - 8 = 3x + 3;

y = 3x + 11.

7 0
3 years ago
ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
3 years ago
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Which of these items will help you determine if you can afford a particular house?
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The Answer Is B: Monthly Budget. A Monthly Budget Can Help Because If You Use A Specific Amount Of Money In One Category, And A Specific Amount In Another, And So On, You Will Know How Much Money You Need To Use To Buy A House. You Can Also Take A Little Bit Of Money Out Of Each Category.
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6 0
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What is the standard form of (1+2√-3)/(1+√-3)
miv72 [106K]
1.75+0.43301270i
hope this helped and let me know if i was right plz

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