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Leviafan [203]
3 years ago
13

Find the volume of the cone. Round your answer to the nearest tenth. 27 in. 16 in.

Mathematics
1 answer:
Illusion [34]3 years ago
5 0

it is 17371.8 I put it into a calculator and got it haha

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The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?
Soloha48 [4]
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50     ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36    ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
3 0
4 years ago
The sum of two consecutive integers is 23. what are the integers?
Zepler [3.9K]

Let the consecutive integers be x and x+1.

Then,

x + (x + 1) = 23

=> x + x + 1 = 23

=> 2x + 1 = 23

=> 2x = 23 - 1

=> 2x = 22

=> x = 22/2

=> x = 11

So, the integers are:

x = 11

and x + 1 = 11 + 1 = 12

So, the consecutive integers are 11 and 12.

3 0
3 years ago
Answer and you will get 10 points
Natalka [10]

Answer:

I dont see nun

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A money box contains only 10-cent and 20-cent coins. There are 34 coins with a total value of $5.40. How many coins of each
kow [346]
10x+20y=540
x+y=34
y=34-x

Plug in (34-x) for y:
10x+20(34-x)=540
10x+680-20x=540
-10x=-140
10x=140
x=14

There were 14 ten cent coins and 20 20 cent coins
4 0
3 years ago
Given that x^2+y^2=9 and xy=5, find the value of (x - y)^2. ​
Ede4ka [16]

Answer:

(x -y)^2 = -1

Step-by-step explanation:

(x - y)^2 = x^2 + y^2 - 2xy

           = (x^2 + y^2 ) - 2(xy)\\\\=(9) - 2( 5)\\\\= 9 - 10 \\\\ = -1

4 0
3 years ago
Read 2 more answers
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