I bought a box from the post office that has a volume of 24 cubic centimeters,

The volume of a cone varies jointly with the area of the base and the height. when the area of the base is

strojnjashka [21]

The volume of a cone varies jointly with the area of the base and the height of the cone.

$V = kAh$

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone

The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)

Now we can find k, the constant of proportionality.

V = kAh

54 = k * 27 * 6

k = 54/(27 * 6)

k = 1/3

The formula is

$V = \dfrac{1}{3}Ah$

Now we use the second set of info, the height and the volume, and we find the area of the base.

$V = \dfrac{1}{3}Ah$

$124 = \dfrac{1}{3} \times A \times 12$

$124 = 4A$

$A = 31$

Answer: the area of the base is 31 cm^2

3 0

2 years ago

It easy i just don't pay attention in class so I don't know the answer

Natasha_Volkova [10]

I think the answer is J
Y = 7
You could also use
Geo calculator to make it easier.
You’ll just have to write the point and the choices.

5 0

2 years ago

A triangle has one leg measuring 10 inches and the hypotenuse measuring 20 inches. the other leg measures 10\sqrt[]{3} 10 3 inch

stiv31 [10]

From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse or the longest side and a, b are the two shorter sides.

To prove that the triangle is indeed a right triangle, we use the equation above.

c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400

5 0

3 years ago

If five times a number plus two is 17 what is the number

Mila [183]

5 times a number plus two is 17

5(x) + 2 = 17

isolate the x, do the opposite of PEMDAS

(Note: What you do to one side you do to the other, because of equal sign)

5x + 2 (-2) = 17 (-2)

5x = 15

5x/5 = 15/5

x = 3

hope this helps

3 0

2 years ago

A school drama department sells 40 more student tickets than adult tickets. Charging $8 for adult tickets and $6 for student tic

Butoxors [25]

Answer:

Adults = x

Students = y = x + 40. 40 more student than adult

Adult = $8, Student = $6

Total for Adults = 8*x = 8x

Total for students = 6*y = 6y

Total = $1920

8x + 6y = 1920

Hence system of equations are:

y = x + 40

8x + 6y = 1920

8 0

2 years ago