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3 years ago

Volume of a Cylinder

Mathematics

2 answers:

Illusion [34]3 years ago

6 0

Answer:

54,437.52 ( fifty four thousand four hundred thirty seven and fifty two thousanths.)

Step-by-step explanation:

Pavel [41]3 years ago

3 0

The volume is 54,437.52.

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FInd the equation for the line that passes through the point (0,3), and that is perpendicular to the Line with the equation (y-1

Akimi4 [234]

Answer:

2y = x+6

Step-by-step explanation:

From (y-1) = -2(x-1)

y-1 = -2x+2

y=-2x+2+1

y=-2x+3 compare with y = mx +C

m1= -2

For perpendicularity rule: m1m2 = -1

m2 = -1/-2 = 1/2

Equation of the line that passes through (0,3) is

y-y1 = m2(x-x2)

y-3 = 1/2(x-0) = 1/2(x)

y-3 = x/2

Multiply through by 2

2y-6 = x

2y = x+6

2y-x=6

2y-x-6=0

6 0

3 years ago

Exercise 21

Lina20 [59]

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = $\frac{1}{2}$ (4x - 6)(2x - 3) ← expand using FOIL

= $\frac{1}{2}$ (8x² - 24x + 18) ← distribute

= 4x² - 12x + 9

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

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

= 12x² - 26x + 12

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

Area of trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = $\frac{1}{2}$ (2x - 3)(4x + 1 + 2x + 3)

= $\frac{1}{2}$ (2x - 3)(6x + 4) ← expand using FOIL

= $\frac{1}{2}$ (12x² - 10x - 12) ← distribute

= 6x² - 5x - 6

5 0

3 years ago

What is the answer to this question ?

Arisa [49]

Answer:

Step-by-step explanation:

h(7)= 7²-1= 49-1= 48

f(h(7))= 48/3 -12

= 16-12

= 4

7 0

4 years ago

Use the table of points to answer the following questions.

Bess [88]

The slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>

<h3>Slope of a line</h3>

The slope of a line is the rate of change of the y-axis of the coordinate to x-axis. The formula for calculating the slope of a line is expressed as;

Slope = y2-y1/x2-x1

Given the following coordinate point (−8, 9) to (−4, 6), the slope is calculated as;

Slope = 6-9/-4+8
Slope = -3/4

For the coordinate points (-4, 6) and (2, 1.5), the slope is calculate;

Slope = 1.5-6/2+4
Slope = -4.5/6
Slope = 0.75

Hence the slope of the coordinate point is 0.75.

Hence the slope of the lines is -0.75 and 0.75 respectively. This shows that the slope of one of the<u> line is negative of the other.</u>

Learn more on slope of a line here: brainly.com/question/3493733

#SPJ1

8 0

2 years ago

The second class railway fare for 240 Km of journey is Rs. 15. What would be the fare for a journey of 139.2 Km? pls answer my q

valentinak56 [21]

please mark me as brainlest

8 0

2 years ago

Volume of a Cylinder​

Volume of a Cylinder