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harina [27]
3 years ago
6

Suppose the height of a cylinder is equal to its radius. the cylinder can fit inside a square prism, as shown below. the cross-s

ectional areas are still the same and the ratio of the area of the circle to the area of the square is still . complete the derivation of the formula for a cylinder whose height is equal to its radius. the prism's volume is the area of the base, , times the height, . since the ratio of the areas is , then the volume of the cylinder is times the volume of the prism. v
Mathematics
2 answers:
natulia [17]3 years ago
5 0

Answer:

1. 2r(2r)

2. r

3. pi/4

4. pi times r cubed

Step-by-step explanation:

Liono4ka [1.6K]3 years ago
3 0

1. 2r(2r)

2. r

3. pi/4

4. pi times r cubed

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write an equation of the line containing the specified point and perpendicular to indicated line. (-5,6) 4x-y=3
Radda [10]
<h2>Greetings!</h2>

Answer:

y = \frac{1}{2}x + \frac{29}{4}

Step-by-step explanation:

First, we need to rearrange the equation to make it y = mx + c

4x - y = 3

y + 3 = 4x

y = 4x -3

So the slope of the line is 4.

The slope of a line perpendicular to an equation is:

\frac{-1}{gradient}

So the slope of the perpendicular line is:

\frac{-1}{4} = -0.25

Now to find the equation of a line you can use the following equation:

y - y₁ = m(x - x₁)

Where y₁ is the y-coordinate, x₁ is the x-coordinate and m is the gradient. Plug the values in:

y₁ = 6

x₁ = -5

m = \frac{-1}{4}

y - 6 = \frac{-1}{4}(x - - 5)

To get rid of the fraction we need to multiply the whole equation by 4:

4y - 24 = -1(x - - 5)

The two negatives cancel out:

4y - 24 = -1(x + 5)

Multiply the brackets out:

4y - 24 = -x + 5

Now, to rearrange the formula back into y = mx + c

Move the -24 over to the other side making it a +24:

4y = 2x + 5 + 24

4y = 2x + 29

Divide everything by 4:

y = \frac{2}{4}x + \frac{29}{4}

y = \frac{1}{2}x + \frac{29}{4}


<h2>Hope this helps!</h2>
8 0
3 years ago
ABCD is a parallelogram. Solve for BC.<br> B<br> X + 8<br> с<br> A<br> 2x +1 D<br> BC =
Arturiano [62]

Step-by-step explanation:

BC = AD (opposite sides in parallelogram is equal)

x + 8 = 2x + 1

8 - 1 = 2x - x

7 = x

x = 7

BC = x + 8 = 7 + 8 = 15

7 0
2 years ago
Uh please answer correctly I’ll mark you brainlist after I see if it’s correct!
zepelin [54]

Answer:

The equation for the volume of a rectangular prism is V=whl or width x height x length. The width is 7/2, the height is 7/5, and the length is 5. Multiply all of these numbers to get 49/2 or 24.5.

6 0
3 years ago
Read 2 more answers
a lab technician mixed a 690 ml solution of water and alcohol, if 3% of the solution is alcohol, how many milliliters of alcohol
neonofarm [45]

To get the milliliters of alcohol used, we must multiply 690 by 0.03. If we do this, we will get 20.70, which means that 20.70 milliliters of alcohol were used. On the other hand, we can get the milliliters of water used through two ways: the first one is by simply subtracting 20.70 from 690, which will give us the answer 669.30. Another would be by multiplying 690 by 0.97, which will also yield the answer 669.30. The number of milliliters of water used was 669.30.

5 0
3 years ago
Is 60:45 and 4:3 are equivalent ratios<br>​
WARRIOR [948]

Answer:

yes

Step-by-step explanation:

if we divide both terms of 60 and 45 by 15, we can simplify it to 4:3.

6 0
2 years ago
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