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Romashka-Z-Leto [24]
3 years ago
10

A nugget of gold is placed in a graduated cylinder that contains 85 mL of water.the water level rises to 225 mL after the nugget

is added to the cylinder.what is the volume of the gold nugget?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
8 0
To get the volume of an object, one of the oldest techniques is to fill a container with water of which we know the volume (in this case 85mL), and drop the object in. The water will rise and show a new volume (225mL). If we subtract the old volume (85) from the new volume (225), we will get the volume of the object (225 - 85 = 140).
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Answer:

Step-by-step explanation:

let  cos^{-1}x=t

cos t=x

when x=1,cos t=1=cos 0

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\lim_{x \to 1} \frac{1-\sqrt{x}}{(cos ^{-1}x)^2 } \\= \lim_{t \to 0} \frac{1-\sqrt{cos~t}}{t^2} \times \frac{1+\sqrt{cos~t}}{1+\sqrt{cos ~t}} \\= \lim_{t \to 0} \frac{1-cos~t}{t^2(1+\sqrt{cos~t})}}  \\= \lim_{t \to 0 }\frac{2 sin^2~\frac{t}{2}}{t^2(1+\sqrt{cos~t})}} \\= 2\lim_{t \to 0 }(\frac{sin~t/2}{\frac{t}{2} })^2 \times \frac{1}{4} \times  \lim_{t \to 0 }\frac{1}{1+\sqrt{cos~t}} \\=\frac{2}4} \times 1^2 \times \frac{1}{1+\sqrt{cos~0}} \\=\frac{1}{2} \times \frac{1}{1+1} \\=\frac{1}{4}

4 0
3 years ago
What is y=− 2/9 x+2 written in standard form?
quester [9]

Answer:

2x+9y=18

Step-by-step explanation:

Distribute the denominator

y=-2/9x+2

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im sorry if this is wrong

8 0
3 years ago
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Korolek [52]
All of them are strategies for preventing cancer
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2 years ago
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emmainna [20.7K]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
An isosceles triangle has base angles that each measure 39 °. Which equation can be used to fi nd t, the measure of the third an
Montano1993 [528]

Answer: 102°

Step-by-step explanation:

First and foremost, we should note that an isosceles triangle has two sides that are equal and that the sum of angles in a triangle equals to 180°.

Since we are told that the isosceles triangle has base angles that each measure 39°, the third angle will be:

t + 39° + 39° = 180°

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5 0
2 years ago
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