A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?

Answer:

This is a right traingle right? AC =129 is so

Step-by-step explanation:

Answer:

1 / 30

Step-by-step explanation:

For a six - sided die :

Sample space = (1, 2, 3, 4, 5, 6)

P(rolling a 1) = required outcome / sample space = 1/6

Sample space for spinner = (A, B, C, D, E)

P(spinning A ) = required outcome / sample space = 1/5

P(spinning A) = 1 / 5

P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30

Answer:

The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3

Step-by-step explanation:

The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;

[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The coordinates of two points on the given line are;

(4·a, -a), and (6·a, 5·a)

Therefore, we get;

[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]

The gradient of the line = 3.

Answer:

$5.12

Step-by-step explanation:

Multiply the cost per pound price by how many pounds of oranges Ben bought

1.60 * 3.20 = 5.12

Answer:

A' = 3A

Step-by-step explanation:

The area of a triangle is given by :

[tex]A=\dfrac{1}{2}\times b\times h[/tex]

Where

b is base and h is height

If height is tripled, h' = 3h

New area,

[tex]A'=\dfrac{1}{2}\times b\times h'\\\\=\dfrac{1}{2}\times b\times 3h\\\\=3\times \dfrac{1}{2}\times b\times h\\\\=3A[/tex]

So, the new area becomes 3 times the initial area.

Answer:

Step-by-step explanation:

Both arsenic and lead can be / are poisonous, so "poison" is the best response here.

Answer:

1.  The volume of the cylinder is approximately 0.153 m³

2. 25 cm

3. [tex]25.\overline 6 \ cm[/tex]

4. 16 m

5. 1,785 m³

Step-by-step explanation:

The volume of a solid can be found by the product of the uniform cross-sectional area of the solid and the (continuous) length of the solid

1. The uniform cross-sectional area of the given cylinder = The area of the circle at the base or top

The dimension of the diameter of the circle at the top of the cylinder, d = 50 cm = 0.5 m

The area of the circular cross-section, A = π·d²/4

∴ A = π × 0.5²/4 = 0.0625·π

A = 0.0625·π m²

The height of the cylinder, h = The continuous length of the circular cross-section = 78 cm = 0.78 m

∴ The volume of the cylinder, V = A × h

∴ V = 0.0625·π × 0.78 = 0.04875·π ≈ 0.153

The volume of the cylinder, V ≈ 0.153 m³

2. The given volume of the trapezium, V = 8550 cm³

The length of the short and long parallel sides 'a', and 'b', are 17 cm and 21 cm respectively

The height of the trapezium from the diagram, h = 18 cm

The cross-sectional area of the trapezium, 'A', is found as follows;

A = (17 cm + 21 cm)/2 × 18 cm = 342 cm²

The volume of the trapezium, V = The cross-sectional, A × The (missing) length, 'l' of the trapezium

∴ l = V/A

By substitution, we have;

l = 8550 cm³/(342 cm²) = 25 cm

∴ The Missing Length, l = 25 cm

3. The given volume of the solid having a uniform cross-sectional area is, V = 385 cm³

The area of the (uniform) cross-section of the solid, A = 15 cm²

∴ The length of the solid, 'l', from V = A × l, is given as follows;

l = V/A

∴ l = 385 cm³/(15 cm²) = 25.[tex]\overline 6[/tex] cm

The length of the solid, l = 25.[tex]\overline 6[/tex] cm

4. From the diagram, we have;

The cross-sectional area of the solid, A = 216 m²

The length of the solid, l = 16 m

5. The cross-section of the solid can  can be assumed to be either;

1. A trapezium from which a rectangle has been removed of dimensions 8 m by 9 m.

2. A triangle located above a rectangle

For scenario one, we have;

The cross-sectional area, A = (12.5 + 9)/2 × 15 - 8 × 9 = 89.25

For scenario two, we find 'A' as follows;

A = 7 × 9 + 1/2 × 15 × 3.5 = 89.25

∴ The cross-sectional area of the solid, A = 89.25 m²

The length, 'l', of the solid, is given as l = 20 m

The volume of the solid, V = A × l

∴ V = 89.25 m² × 20 m = 1,785 m³

The volume of the solid, V = 1,785 m³.

answer:

perimeter- 12 units

area- 4.5 units

step-by-step explanation:

perimeter-

p=4a

=4*3

=12

area-

a=pg/2

=3*3/2

=4.5

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

5 + 2 = 27

Step-by-step explanation:

Answer:

let's take s as student

let's take p as problem

sp as student that has gotten a problem

1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p + 1s × 5p

5sp + 5sp + 5sp + 5sp + 1s × 5p + 2p

20sp + 1s × 7p

20sp + 7sp

27sp

Answer:

1. -3

2. 0/4 or 0

3. -2/3

4. -4/-3

Step-by-step explanation:

Answer:

1. The slope is -3

2. The slope is -1

3. The slope is -1/2

4. The slope is 4/3

Answer:

Discriminant:

Since D > 0, there are 2 real solutions:

Answer:

35

Step-by-step explanation:

Top box equals 10

(5x2)

Middle box equals 15

(5-2+2) x 3

Bottom box equals 10

(5x2)

Answer:

35 in sq.

Step-by-step explanation:

Find the area of each rectangle and add them together.

Area of a rectangle = length*height

Top rectangle: This one is easy. Length=2 Width=5

5*2=10

Middle rectangle: There's a missing segment in the width but we can find it. Notice the bottom rectangle's width includes the missing segment + 2 (look at the top rectangle). 5-2 is 3. Add the 2 of the known segment to the 3 of the previously unknown segment.

Length=3 Width=5

5*3=15

Bottom rectangle: This one is also easy. Length=2 Width=5

2*5=10

10+15+10=35 in sq.

Answer:

The Answers are D and E

Step-by-step explanation:

all have 1 pair of parallel sides

like the 2 Ls in the word Parallel

Answer:

D and E

Step-by-step explanation:

A. Wrong: is a quadrilateral but has TWO pairs if parallel sides.

B. Wrong: is also a quadrilateral but also has TWO pairs if parallel sides.

C. Wrong: has only ONE pair of parallel sides, but is not a quadrilateral.

D. Right: is a quadrilateral with only ONE pair of parallel sides.

E. Right: is a quadrilateral with only ONE pair of parallel sides.

n^2 + 10n + 25           can be factored as (n+5)^2 , so yes

9x^2 - 24x + 26     can be factored as (3x-4)^2, so yes

94.2 cm divided by pi which is 3.14 equals to 30 evenly hoped this helped yall out

Answer:

2nd

Step-by-step explanation:

The equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

y = mx +c

Given; Circle A is located at (6, 5) and has a radius of 3 units.

The slope;

m = (8- 5)/(9 -6) = 1

Substitute in the equation of line;

y = mx +c

8 = 1(9) + c

8 - 9 = c

c = -1

So, We get

y = x − 1

Hence the equation of a line that is tangent to circle A from point C (9, 8) will be option C; y = x − 1.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

Answer:

I think It is the third and fifth.

Step-by-step explanation:

i do not know for sure though.

Answer:

C

Step-by-step explanation:

sin = 5/13

cos = 12/13

tan = 5/12

Answer:

(x - 1)^2 + (y + 2)^2 = 4^2

Step-by-step explanation:

The standard equation of a circle of radius r with center at (h, k) is

(x - h)^2 + (y - k)^2 = r^2

Replacing h with 1, y with -2 and r with 4, we get:

(x - 1)^2 + (y + 2)^2 = 4^2

Answer:

3f + d or d +3f

Answer:

The slope is -1.

Step-by-step explanation:

We want to find the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7).

First, we can use the slope formula to find the line passing through (7, -5) and (-5, 7). The slope formula is:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute and evaluate:

[tex]\displaystyle m=\frac{(7)-(-5)}{(-5)-(7)}=\frac{12}{-12}=-1[/tex]

So, its slope is -1.

Recall that parallel lines have the same slope.

Therefore, the slope of the line that is parallel to the line joining the points (7, -5) and (-5, 7) will also be -1.

Answer: 6

Step-by-step explanation:

By tallying up the x's in total in 3/8 and 1/2, it would be 6.

Answer:

19 x 11 = 209

4 x 3 = 12

7 x 5 = 35

35 + 12 + 209 = 256

Answer:

It's on the third at the picture

Step-by-step explanation:

hope it helps make brainlliest ty the

Answer:

Step-by-step explanation:

The answer is x= 7/2

decimal form 3.5

Answer:  c

Step-by-step explanation: