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harina [27]
3 years ago
12

Please help !!

Mathematics
1 answer:
Anarel [89]3 years ago
7 0
Easy

1.
Vcyliner=(h)(π)(r²)

2.
Vcone=(1/3)(h)(π)(r²)

3.
Vsphere=(4/3)(π)(r³)

4.
Vcylinder
h=16
r=d/2=8/2=4
Vclinder=(16)(π)(4²)=256π cm³, aprox 804.247 cm³

5.
h=8
r=5
Vcone=(1/3)(8)(π)(5²)=(200π)/3 cm³ aprox 209.43946 cm³

6.
r=10
Vsphere=(4/3)(π)(10³)=(4000π)/3 mi³ aprox 4188.789333 mi³
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Smallest of 3 consecutive positive intergers if the product of the smaller two intergers is 5 less than 5 times the largest inte
amm1812

What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)

Three consecutive integers are . . . x,  x+1,  and  x+2

The smallest two are . . . x  and  x+1
    Their product is . . . . . x(x+1)

5 times the largest one is . . . 5(x+2)
      5 less than that is . . . . . . 5(x+2)-5

Now, the conditions of the problem say that    <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .

       Eliminate parentheses:    x² + x = 5x + 10 - 5
            Combine like terms:    x² + x = 5x + 5
Subtract 5x from each side:    x² - 4x = 5
Subtract  5  from each side:   <u>x² - 4x - 5 = 0</u>

You could solve that by factoring it, or use the quadratic equation.

Factored, it says that    (x + 1) (x - 5) = 0

From which       <em>x = -1</em>
             and      <em>x = +5</em>

We only want the positive results, so our three consecutive integers are

             5,  6,  and  7 .   

To answer the question, the smallest one is    <em><u>5 </u></em>.

<u>Check</u>:

   5 x 6  ? = ?  (7 x 5) - 5

       30  ? = ?  (35) - 5

         30   =   30

             yay !   


6 0
3 years ago
A chimp is taking a multiple - choice test of course the chip can't read and his guessing for every question. If there are 4 cho
tia_tia [17]

Answer:

21

Step-by-step explanation:

He will guess correctly 25% of the time.

He has 84 questions

25% of 84

.25 * 84

21

We should expect that he will get 21 questions correct

6 0
3 years ago
Factor as the product of two binomials <br> x² – 4 =
kkurt [141]

Answer:

(x-2) (x+2)

Step-by-step explanation:

------------------

8 0
3 years ago
Read 2 more answers
What is the slope of (-5,3) and (7,9)
Softa [21]

Answer:

-35

___

27

Step-by-step explanation:

Start by setting up your pairs (x,y)

-5 & 7 are x

3 & 9 are y

X * X

---------- ÷

Y * Y

(-5, 7)

---------

(3, 9)

-35

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27

3 0
3 years ago
Please help me with my math question!!!
charle [14.2K]

Answer:y=-1/2x+3

Step-by-step explanation:

y=-1/2x+3

Bc any slope that is the same as the line is parallel.

So if you count, 1 up and two to the left.

7 0
3 years ago
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