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drek231 [11]
3 years ago
5

Aran moved a cone-shaped pile of sand that had a height of 4 ft and a radius of 3.2 ft. He used all of the sand to fill a cylind

rical pit with a radius of 6 ft. How high did the sand reach in the pit? Use 3.14 to approximate pi and round your answer to one decimal place.
Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
So volue of a cone=area of circle base times heigt times 1/3

height=4
area of base=pi times r^2
area of abse=aprox 3.14 times 3.2^2=32.1536
32.1536 times 4 times 1/3=32.1536 times 4/3=42.87 the amount of sand is 42.9 ft^3
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Simplify the expression. 8x^-10 y^'6 -2x^2y^-8 Write your answer without negative exponents.​
sergij07 [2.7K]

Answer:

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}

Step-by-step explanation:

Given

8x^{-10}y^6 - 2x^2y^{-8}

Required

Simplify

Rewrite as:

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6}{x^{10}} - \frac{2x^2}{y^8}

Take LCM

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^6*y^8 - 2x^2 * x^{10}}{x^{10}y^8}

Apply law of indices

8x^{-10}y^6 - 2x^2y^{-8} = \frac{8y^{14} - 2x^{12}}{x^{10}y^8}

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2 years ago
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3 years ago
ILL GIVE BRAINLIEST IF YOU GET IT RIGHT AND EXPLAIN
koban [17]

Answer:

y = 2

x = 50

Step-by-step explanation:

We can first find y by doing 12y+5 = 18y-7 since vertical angles are always congruent.

We want to combine like terms so we subtract 12y from both sides (what you do on one side needs to be done to the other) and we get 5 = 6y-7 and now we add 7 to both sides to get 12 = 6y.

Like I said we did this because we combine like terms!!!

Now we want to isolate the y and we do this by dividing 6 from both sides which lets us get 2 = y

Now that we know what y is we can plug it into any of the equations using y.

I plugged it into the top right equation cause it was easier.

12(2)+5

24+5

29!

That angle is 29!

Now that we know that we can begin solving for x.

The equation that has x + 29 make 180 degrees because it is a straight line so we use this to solve for x!

3x+1+29=180 (We want to start combining like terms now)

3x+30=180(Subtract 30 from both sides)

3x=150 (Isolate the x by dividing 3 from both sides)

x=50!

We can prove this is right by inserting x into it's expression. That tells us the angle is 151. Now we add 151+151+29+29 and we get 360!

4 0
2 years ago
PLS HELP WITH THIS QUESTION
alexandr1967 [171]
ANSWER: y=6
straight lines are 180° and all the angles in a triangle add up to 180°
4 0
2 years ago
Read 2 more answers
Find the area of a triangle whose two sides are 18cm and 10cm and the perimeter is 42cm
kobusy [5.1K]

Ur answer will be - A≈69.65cm².  

<u><em>Hope this helps!!</em></u>

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2 years ago
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