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AnnyKZ [126]
3 years ago
15

Can someone help with this question

Mathematics
1 answer:
NikAS [45]3 years ago
4 0
1st : Find the volume of the rectangular block:
12 × 10 × 20 = 2400 cm^3.

2nd : Find the volume of a cylinder
\pi  {r}^{2} h
Where r is radius & h is height.
so:
\pi \times 2.2 {}^{2}  \times 5.0
= 76.02654222 cm^3

Lastly, divide the volume of the rectangular block by the volume of the cylinder
2400 ÷ 76.026 = 31.5679226

You can't round it up so the answer is F) 31
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Simplify the expression
Molodets [167]

Answer:

8x^8/3 y^4 - The first option

Step-by-step explanation:

The first thing we need to do is the exponent outside the bracket and leave the 8 till last, because exponents always come before multiplying coefficients. When an term with an exponent is multiplied by another exponent outside a bracket, the exponents of both terms are multiplied by the exponent outside the bracket.

This means that the expression is now:

8(x^2*4/3 y^3*4/3)

First we can so the x term. The x term already has an exponent of 2, so the 2 is multiplied by the 4/3 exponent outside the bracket. 2*4/3 = 8/3, so the x term is now: x^8/3

The same happens to the y term: 3*4/3 simplifies to 4, so the y term is now y^4.

So now our expression is:

8(x^8/3 y^4)

Now the 8 outside the bracket simply multiplies on to the whole term so we finish with:

8x^8/3 y^4 - The first option.

Hope this helped!

7 0
3 years ago
HELP PLS MARKING BRAINLEIST TO CORRECT ANSWER
Andreyy89

Answer:

6/3=2

Step-by-step explanation:

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3 years ago
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GIVING BRAINLIEST!!!!
Radda [10]

Answer: AREA IS 6ft^2

Step-by-step explanation:

OK, so basically plot those points then connect those 4 points and it will make a RECTANGLE then find the area by counting the length boxes, which is 2 and then count the width boxes which are 3. SO, Formula to find area of a rectangle is LENGTH * WIDTH so do 2*3= 6

area is 6ft^2

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Please help with question #3!
Dmitry [639]

Answer:

  e.  1/(49n² +7n)

Step-by-step explanation:

\dfrac{(7n-1)!}{(7n+1)!}=\dfrac{(7n-1)!}{(7n+1)(7n)(7n-1)!}=\dfrac{1}{(7n+1)(7n)}\\\\=\dfrac{1}{49n^2+7n}

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3 years ago
You want to fence in a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing f
tangare [24]

Answer:

East and west side= 5 foot

South and north side = 10 foot

Area = 50 foot^2

Step-by-step explanation:

We know that:

East and west fencing cost= $4 per foot

South and north fencing cost $2 per foot

So, we can consider:

x= south and north fencing

y= east and west fencing

Then we create an equation representing the case:

Total cost = (south+north)*$2 + (east+west)*$4

80 =(x+x)*2 + (y+y)*4

80 =(2x)*2 + (2y)*4

80 =4x + 8y

80 =4*(x+2y)

80/4 =x+2y

20 = x+2y

x= 20-2y

We can calculate the area as width * length:

Area = length * width

Area= x * y

Area= (20 - 2y) * y

area= 20y - 2y^2

Next step is to find the "y" value for the maximum area so you can derivate and equal to 0 to find maximums:

d(20y - 2y^2)/dy = 20 - 2*2y = 20 - 4y

20 - 4y = 0

20 = 4y

y = 20/4

y = 5

If y = 5, then:

x = 20 - 2y

x = 20 - 2*5

x = 20 - 10

x = 10

7 0
3 years ago
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