Which expression is equivalent to 6f+f?

Answer:

B) V= 4/3πr^3

Step-by-step explanation:

The volume of the cone according to the given condition is V = 4πr³/3

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex.

Given that the height of a cone is two times its base diameter. we need to find the formula for the volume of cone in terms of base radius,

So, the volume of a cone in general is = π × radius² × height/3

According to the question,

The height is 2x the base diameter, that mean =

h = 2d

Since, d = 2r

So, h = 2(2r)

h = 4r

So the volume according to this condition is =

π × r² × 4r/3

V = π × 4r³/3

V = 4πr³/3

Hence the volume of the cone according to the given condition is V = 4πr³/3

Learn more about cones, click;

https://brainly.com/question/16394302

#SPJ7

Answer: 60 miles

Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.

Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60

Answer:

  (a)  90°

Step-by-step explanation:

A graph can help you answer the question about where the graphs of the two functions intersect. It shows the one angle of intersection to be 90°.

__

You can also determine this analytically.

  f(x) = g(x)

  cos(x/2) = √2 -cos(x/2)

  2cos(x/2) = √2 . . . . . . . . . . add cos(x/2)

  cos(x/2) = √2/2 . . . . . . . . divide by 2

  x/2 = ±45° +360°×n . . . . . for an integer n

  x = ±90 +720°×n . . . . multiply by 2

  x = 90° is the only solution in the desired range.

Answer:

9

Step-by-step explanation:

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

[tex]3-4x > 0[/tex]

Subtrauct 3 on both sides:

[tex]-4x > -3[/tex]

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

[tex]x < 3/4[/tex]

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4

Answer:

Step-by-step explanation:

Answer:

First one

SA = 2lw + 2lh + 2wh

Step-by-step explanation:

The area is this, it is a fact..

A=2(wl+hl+hw)

Answer:

first one

Step-by-step explanation:

SA = 2wl + 2lh + 2hw

Answer:

Wow that's a lot of questions. The answers are 2, 3/4, 4, 6, 10, 5, 48500, 48000, and 50000

Step-by-step explanation:

Hope this helped

Answer:

1/105

Step-by-step explanation:

Total Marbles= 2+6+7=15

2/15 * 1/14 = 2/210 = 1/105

(It becomes 1/14 since you take out own red marble)

Answer:

2/8

Step-by-step explanation:

denominator is 8 as it's the total of the entire dice.

your numerator is 2 as you only have 1 #8 and 1 #7 so 1+1=2

answer is 2/8

Answer:

2,500 square feet is the answer

Answer:

2inches=5.08cm

TSA of cylinder=2πr(r+h)

2×22/7×5.08(5.08+5.08)

6×5.08×10.16

324.42cm^3

Answer:

29.7 cm

Step-by-step explanation:

Since A and B are related by a scale of 3:1 then :

3 × (hypotenuse of A) = (hypotenuse of B)

then

(hypotenuse of A) = (hypotenuse of B)/3

                              = 89/3

                              = 29.7

Answer:

5 and 6 are vertical

1 and 2 are linear pair

Step-by-step explanation:

1 and 2 are linear pair because they add up to 180 degrees

5 and 6 are across from each other so they are vertical angles

Answer:

The answer is 5550

Step-by-step explanation:

Just do

6154- 604=5550

Answer:

z=60º, x=10º

Step-by-step explanation:

Question 1: 180º - 120º = 60º

Question 2:

(9x+30) = 120º

-30          -30

9x=90º

/9    /9

x=10º

Answer:

C. (1,0)

Step-by-step explanation:

If we make use of a parabolic reflecting mirror and a light source.

Given thar the equation of parabolic mirror is Y2 = 4ax

The given data in the problem is x = 1 and y = 2

So subject value is y2 = 4ax

4 = 4 a (1)

a = 1

So x = 1

thus focus is at (x, y) = (1,0)

Therefore, option C is correct answer.

Answer:

Number of 7th Graders= 360 - X

Step-by-step explanation:

As you can see this question is not complete and lacks the essential data. But we will try to create a mathematical expression to calculate the number of students on the A honor roll which are from &th grade. As we know: Total number of students on the A honor roll = 360 We are asked to calculate, number of students from 7th grade on the A honor roll. So, let's assume that "X" represents the all the students who are on the A honor roll except 7th grade. Mathematical Expression: Number of 7th Graders = Total number of students on the A honor roll - X Number of 7th Graders = 360 - X So, if you know the value of X, you can easily calculate the number of students which are from 7th grade on the A honor roll.

Answer:

Step-by-step explanation:

32*9*21

Finding volume is simple as pie for a cube.

Length*Height*width

Answer:

Step-by-step explanation:

Reflections of a line or a figure across an axis does not change its lengths.

Therefore, the corresponding parts are equal.

Solving for x

Solving for y

Solving for z

Answer: There is not enough evidence to support a relationship between lunch preference and role at the school.

Answer:

the volume is 300cubic inches

the expression is l x w x (h-2)

Answer:12=59

Step-by-step explanation:

[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]

It looks like the equation is

cos(2x) + cos(x) = 0

Use the double angle identity for cosine to write this as

(2 cos²(x) - 1) + cos(x) = 0

2 cos²(x) + cos(x) - 1 = 0

Factorize the left side:

(2 cos(x) - 1) (cos(x) + 1) = 0

Then either

2 cos(x) - 1 = 0   or   cos(x) + 1 = 0

2 cos(x) = 1   or   cos(x) = -1

cos(x) = 1/2   or   cos(x) = -1

[x = cos⁻¹(1/2) + 2nπ   or   x = -cos⁻¹(1/2) + 2nπ]

…   or   [x = cos⁻¹(-1) + 2nπ]

(where n is any integer)

x = π/3 + 2nπ   or   x = -π/3 + 2nπ   or   x = π + 2nπ

We get the following solutions in the interval [0, 2π):

x = π/3   and   x = π   and   x = 5π/3

Answer:

x = 146

Step-by-step explanation:

x and 34° are adjacent angles and sum to 180°, then

x + 34 = 180 ( subtract 34 from both sides )

x = 146

Some General Information:

  ⇒ both triangles are isosceles triangle

    ⇒because two of the angles are equal to each other

       ⇒ which means there are two equal sides that always join at the

           same angle to the base (the third side), and meet directly above    

           the midpoint of the base (I attached a diagram for a better

           explanation)

Question 11:

 ⇒ x and 10 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

       ⇒ so x = 10

Question 12:

 ⇒ '2x + 23' and 7 are equal

   ⇒ because their sides join the third side at the base with the same

       angle

      ⇒ so:

           [tex]2x+23=7\\2x=-16\\x = -8[/tex]

         ⇒ thus x = -8

Hope that helps!