Find the volume of this solid

Answer:

c) y= 2x +4

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= 2

m= 2

y= 2x +c

To find the value of c, substitute a pair of coordinates into the equation.

when x= -1, y=2,

2= 2(-1) +c

2= c -2

c= 2 +2

c= 4

Thus, the equation of the line is y= 2x +4.

Answer:

4

Step-by-step explanation:

1 1/2 ÷ 3/8

Change to an improper fraction

3/2 ÷ 3/8

Copy dot flip

3/2 * 8/3

Cancel like terms

8/2

4

Answer:

4

Step-by-step explanation:

all work is in the image below!

Factor the numerator and denominator and cancel the common factors.

Answer:

x = 135     y = 45

Step-by-step explanation:

The sum of the measure of interior angles can be found by equation  

(n - 2) x 180            n is the number of sides

(8 - 2)180 = 1080

Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.

1080 / 8 = 135

x = 135 degrees

We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.

360 - 2(135) = 90

The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.

90 / 2 = 45

y = 45 degrees.

135  45 Answer:

Step-by-step explanation:

Answer:

the slope exists is a fairly major issue, using imaginary concepts allows for more freedom of geometric expression (subspace and hyperspacial theory). Since it is purely theoretical and imaginary greater freedom is offered to generate theories and structures.

Step-by-step explanation:

Answer:

x = 25

Step-by-step explanation:

Complementary angles add to 90 degrees

x+65 = 90

Subtract 65 from each side

x = 90-65

x = 25

The Definition of Complementary Angles states that if two angles are

complementary, then the sum of their measures is 90°.

To find the complement of an angle, we take 90 degrees minus the

measure of the angle which in this case 90° - 65° or 25°.

So the complement of the 65° angle measures 25°.

Answer:

5x^5

Step-by-step explanation:

45x^7 ÷ 9x^2=45÷9 × x^7÷x^2= 5x^5

The right answer is 5x^5

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

62

Step-by-step explanation:

Because 775 divided by 12 1/2= 62

Answer:

46.875 %

Step-by-step explanation:

30 grams of fat out of 64 grams

30/64 =.46875

Change to percent form

46.875 %

Answer:46.875

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 ), then

The x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = x² - 10x + 17 ← is in standard form

with a = 1 and b = - 10, thus

[tex]x_{vertex}[/tex] = - [tex]\frac{-10}{2}[/tex] = 5

Substitute x = 5 into the equation for corresponding value of y

y = 5² - 10(5) + 17 = 25 - 50 + 17 = - 8

vertex = (5, - 8 ) → A

Answer:

The correct option is B:

B) x superscript five-thirds Baseline y superscript one-third

Step-by-step explanation:

The expression can be written as:

[tex]\sqrt[3]{x^5y}[/tex]

We know that cube root can also be written as the power of 1/3, So

[tex]\sqrt[3]{x^5y} = (x^5y)^{1/3}[/tex]

Multiplying the power with both variables

[tex](x^5y)^{1/3} = x^{5\cdot1/3}\cdot y^{1\cdot1/3}[/tex]

Simplifying the equation to get final form

[tex]x^{5\cdot1/3}\cdot y^{1\cdot1/3} = x^{5/3}\cdot y^{1/3}[/tex]

As we can see that it is similar to the option B which is

B) x superscript five-thirds Baseline y superscript one- third

the correct option is B

The expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is;

The expression can be written as;

[tex] \sqrt[3]\frac{{ {x}^{5} } }{y} [/tex]

In essence, Upon simplification; we have;

Therefore, we have;

The expression therefore becomes;

[tex] \frac{ {x}^{ \frac{5}{3} } }{ {y}^{ \frac{1}{3} } } [/tex]

Read more on indices;

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Answer: surface area = 108.8 sq. cm

Step-by-step explanation:

A=πr(r+√h2+r2)

Answer:

108.8cm^2

Step-by-step explanation:

Surface Area

A = πr(r+ √h2+r2)

A= π3 * (3 +1/3)  √64 + 9  (+ 3) = sqroot 17 +3 = 20 + (3 x 4) = π32

A= 108.7

Volume

V=πr2h/3

V= π9*8 = π72/3 = 226.28/3

V= 72.4cm^3

Additional

The cone has a radius of 3cm and height of 8cm, find total surface area of the cone.

To begin with we need to find slant height of the cone, which is determined by using Pythagoras, since the cross section is a right triangle.

l2 = h2 + r2

l2 = 64 + 9

l = √(73)

l = 8.54 cm

And the total surface area of the cone is:

SA = πr2 + πrl

SA = π · r · (r + l)

SA = π · 3 · (3 + 8.54)

SA = π x 3 . 11.54

SA = 9.42477796077 x 11.54 = 108.76 cm2

SA = 108.8cm^2

Answer:

(2) 21.6

Step-by-step explanation:

The segment OA is the radius of the circle

The arc of the complete circle is equivalent to its perimeter

perimeter = 2*π*radius = 2*π*10 = 62.83 cm

This arc is proportional to 360°. So, for 124°:

360°/124° = 62.83 cm/ x cm

x = 124*62.83/360

x = 21.6 cm

Answer:

1/8

Step-by-step explanation:

I think you mean under 5 minutes

1/4*1/2

1/8 probability that the next call will be a customer complaint and will be dealt with under five minutes

(I am not sure if I'm correct with the proportions)

Answer:

B

Step-by-step explanation:

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangular surface.

A triangular prism is a 3D shape with two identical faces in the shape of a triangle connected by three rectangular faces.

A triangular prism is a three-sided prism; it is a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sides. A right triangular prism has rectangular sides, otherwise it is oblique.

A prism with the cross-section of a triangle.

The total surface area of the triangular prism will be :-

3(rectangles area) + 2(area of the triangle)

The area of the triangle will be :-

1/2 x base x height

= 4 units²

The area of the rectangle will be :-

length x width

= 2 x 1 = 2 units²

Then the total area will be :-

3(2) + 2(4) = 6+8 = 14 units²

The total surface area of the triangular prism is 14 cm². Then the correct option is B.

More about the triangular prism link is given below.

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The values of f and g are;

f = 6

f = 6g = 8

We are given the trapezium ABCE where;

AD is parallel to BC

DE = 4 cm

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

f and g are sides of the rectangle ABCD. Thus;

fg = 48 - - - (eq 1)

Also,for the trapezium ABCE;

½(g + g + 4)f = 60

(2g + 4)f = 120 - - - (eq 2)

From eq 1, f = 48/g

Thus;

(2g + 4) × (48/g) = 120

96 + 192/g = 120

192/g = 120 - 96

192/g = 24

g = 192/24

g = 8

Thus;

8f = 48

f = 48/8

f = 6

Read more at;https://brainly.com/question/14742279

Answesr:

À

Step-by-step explanation:

A cube has faces of equal measurements so u multiply the area of one face with 6

(5×5)6=150

Answer:

150 m 2

A

Step-by-step explanation:

Answer:

The solution is x=4.75  and   y = -22

Step-by-step explanation:

To find the solution to the system of equations, we will follow the steps below:

3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)

-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)

add equation (1) and equation (2)

1.6x =7.6

Divide both-side of the equation by 1.6 to get the value of x

1.6x /1.6 =7.6/1.6

x =4.75

substitute x = 4.75 into equation (1) and solve for y

3.2(4.75) + 0.5y = 4.2

15.2 + 0.5y = 4.2

subtract 15.2 from both-side of the equation

15.2 - 15.2 + 0.5y = 4.2-15.2

0.5y = -11

Divide both-side of the equation by 0.5

0.5y/0.5 = -11/0.5

y = -22

The solution is x=4.75  and   y = -22

Answer

x= 4.75       y=-22

Step-by-step explanation:

got it right on the unit test!!

Answer: the answer is p v q and q -> p

Step-by-step explanation:

edg 2022

Answer:it's D i took the test.

Answer:

B

Step-by-step explanation:

i took the test

Answer:

She uses 7.5 feet of twine to make 3 bundles of wood.

Answer:

if the solution to the system is  1.5 and 2

Then the mistake was in line 2 the student should have subtracted the eqations instead of adding them.

Step-by-step explanation:

if y = 2

Then 8y -5y = 3y

4x -x = (4 = 1.5 x 2 2/3) =4   if x = 1.5

3y = 2 2/3 = 3   if y = 2

The ratio stays the same.

The student mistake was in line 2, the student forgot to multiply the

right side of the equation by 2.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

2x + 5y = 13

-x + 4y = 13

The first steps are correct.

In second step the LHS and RHS both should be multiplied by 2.

So,

-2x + 8y = 26

But, the student only multiply 2 on the LHS side.

Hence, the student mistake was in line 2, the student forgot to multiply the right side of the equation by 2.

Learn more about equation here:

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Answer:

Joe earns $2.50 for every dog he walks.  He also owes $2  to his mom.  How many dogs does he need to walk in order for him to get $10.50

Answer:

5.004

Step-by-step explanation:

You have to add 2.00 to the other side of 10.50 and add them both because they are positive and u should get you number 12.50 and brin down 2.50 and divide and u should get ur answer.

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation:

Answer:

4×3=12

Step-by-step explanation:

all i did was multiple 4 times 3 and i came up with my answer

Answer:

78 percent wider than higher

Step-by-step explanation:

Answer:

216 ft²

Step-by-step explanation:

For this question, first find the area of the outsides of the square walls.

Since the cube has side lengths of 6, we can simply find the area of each wall. Remember, for a square, A = s².

A = 6²

A = 36. This is the area for each side of the wall. Since she is painting 4 walls, we can multiply this by 4.

36 ×4 = 144.

To find the area of the ceiling, we will need to use the formula for the area of a triangle : A = 1/2(bh). The base in the figure would be 6, and the height is also 6.

A = 1/2(6 ·6)

A = 1/2 (36)

A = 18. Therefore, each part of the ceiling is 18. Since the base is a square shape, there are 4 triangles that make up the ceiling. Multiply this by 4, giving you:

18 × 4 = 72.

Add the two areas from the walls and the ceiling:

144 + 72 = 216 ft²

Answer:

Ok, so i got 216

Step-by-step explanation:

mulityply 6✖️6✖️6=216 the rest of the numbers are tricking you hopefully this helps.

Answer:

Shift 1 unit to the right, i.,e. option (c).

Step-by-step explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

[tex]f(x)=x^2[/tex]

The given function is  

[tex]g(x)=(x-1)^2[/tex]

So, the given function can be written in the form of basic form as

[tex]g(x)=f(x-1)[/tex]     ...(1)

The translation is defined as

[tex]g(x)=f(x+a)2+b[/tex]     .... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=-1,b=0[/tex]

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

Answer:

It C

Step-by-step explanation:

Answer:

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]

Step-by-step explanation:

Let P be the moving point and the given points be A (c,0) and B (-c, 0). If (h, k) be the co-ordinates of any position of P on its locus then:

PA + PB = 2a

PA = 2a - PB

PA² = 4a² + PB² – 4a ∙ PB

PA² – PB² = 4a² – 4a ∙ PB

[(h - c)² +(k - 0)²] - [(h + c)² +(k - 0)²] = 4a² – 4a. PB

-4hc = 4a² – 4a∙PB

a ∙ PB = a² + hc

Taking square

a² ∙ PB² = (a² + hc)²

a² [(h + c)² + (k - 0)²] = (a² + hc)²

a² [h² + c² + 2hc + k²] = a⁴ + 2a²hc + h²c²

a²h² – h²c² + a²k² = a⁴ – a²c²

(a² – c²)h² + a²k² = a² (a² – c²)

h²/a² + k²/(a² – c²) = 1

Therefore, the required equation to the locus of P is

[tex]\frac{x^2}{a^2}+\frac{y^2}{a^2-c^2}=1[/tex]