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3 years ago

Please help. Volume of cylinder in terms of pi. Multiple choice. I will give extra points as well as brainiest

Mathematics

1 answer:

Ede4ka [16]3 years ago

3 0

Answer:

Hello There the correct answer is C. 6.

All you really need to do is that Multiply 2 m and 6 m it will be 12 which Everyone knows that. And when you count the twos it will be 6 So the answer is 6.

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Talja [164]

Answer:

I have no clue what it is sorry

7 0

3 years ago

3x + 1 = 5X-13 if anyone knows what to do can they please help

Elza [17]

Answer:

x = 7

Step-by-step explanation:

First, you look at the equation. Identify the locations of variable terms (both sides of the equal sign) and the constant terms (both sides of the equal sign).

If there are any parentheses, it is a good idea to use the distributive property to eliminate them. Here, there are none.

I like to start by subtracting the variable term with the smallest coefficient. Here, that is 3x, so we add -3x to both sides of the equation.

3x -3x +1 = 5x -3x -13

1 = 2x -13 . . . . . . . . . . . . combine like terms

Now, we have the only variable term on one side of the equal sign. We want it by itself, so we need to make the -13 go away. We do that by adding its opposite to both sides of the equation:

1 +13 = 2x -13 +13

14 = 2x . . . . . . . . . . . . combine like terms

Finally, we want the coefficient of 2 in the x-term to disappear. We make that happen by multiplying both sides of the equation by 1/2, the reciprocal of that coefficient.

(1/2)(14) = (1/2)(2x)

7 = x . . . . the solution

It is generally a good idea to check your work by seeing if your solution value satisfies the equation:

3(7) +1 = 5(7) -13 . . . . put 7 where x is in the original equation

21 +1 = 35 -13

22 = 22 . . . . . . x = 7 is the solution

_____

Additional comment

By subtracting 3x from 5x, the result is 2x with a positive coefficient. We could solve the equation just as easily by subtracting 5x from 3x. That result would be ...

-2x +1 = -13

Subtracting 1 would give

-2x = -14

and you would multiply by -1/2 to get x=7. I personally like to avoid having this many minus signs show up in the problem. That is why I choose to subtract the x-term with the smallest coefficient.

5 0

4 years ago

On each of ner birthdays. Bernadette blew out a number of candles

marissa [1.9K]

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

4 0

4 years ago

A circular pool measures 10 feet across. one cubic yard of concrete is to be used to create a circular border of uniform width a

mina [271]

we know that

1 ft is equal to 12 in

1 cubic yard is equal to 27 cubic feet

Step 1

Find the area of the circular border of uniform width around the pool

Let

x---------> the uniform width around the pool

we know that

The diameter of the circular pool measures 10 feet

the radius r=5 ft

the area of the circular border is equal to

$A=\pi *(5+x)^{2}- \pi *5^{2} \\A= \pi *[(x+5) ^{2}-5^{2} ] \\ A= \pi * [x^{2} +10x]$

step 2

volume of the concrete to be used to create a circular border is equal to

V=1 yd^{3}-------> convert to ft^{3}

V=27 ft^{3} -------> equation 1

the depth is equal to 4 in-------> convert to ft

depth=4/12=(1/3) ft

volume of the concrete to be used to create a circular border is also equal to

V=Area of the circular border*Depth

$V= \pi * [x^{2} +10x]*(1/3)$ -------> equation 2

equate equation 1 and equation 2

$27=\pi * [x^{2} +10x]*(1/3) \\ x^{2} +10x- \frac{81}{\pi }=0$

using a graph tool------> to resolve the second order equation

see the attached figure

the solution is the point

x=2.126 ft

therefore

the answer is

The uniform width around the circular pool border is 2.126 ft

7 0

3 years ago

A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due so

11111nata11111 [884]

33.7 degree west of south is the bearing of D from B

5 0

2 years ago