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aliya0001 [1]
2 years ago
8

The volume of the ice cream cone in the diagram is 12 cubic centimeters. 9 centimeters is the height of the ice cream cone, what

is the diameter of the opening of the cone?​

Mathematics
2 answers:
algol [13]2 years ago
8 0

Answer:

Diameter = 8

Step-by-step explanation:

Cone volume formula = (pi)*r^2*h/3

V = (12pi)*r^2*(9/3)

V = (12pi)*r^2*3

12/3 = 4

V =(pi)*4^2*h/3

4*2 = 8

The Diameter is 8

Vlad1618 [11]2 years ago
4 0

Answer:

2.2568m

Step-by-step explanation:

volume= 12 π cm³

or, 1/3 πr²h = 12π cm³

or, πr² × 9 = 12π ×3

or, r²= 36π/9π

or, r²= 4

or, r= 2

d = 2r = 2× 2= 4 cm

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Joe has a 28 foot long board. He needs to cut it into 24 equal length parts.How many feet should each section of the board be?
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28 divides by 24 is 1.1666667 which rounds to 1.17 <——answer
6 0
3 years ago
Cuales son las raíces solución de la ecuación x^2-5x+4=0
Pepsi [2]
2x - 5x + 4 = 0
- 3x = - 4
x = 4/3
7 0
3 years ago
You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.
Romashka-Z-Leto [24]

Answer:

a) T(x)=300x+18x=318x

b) D(x)=318x-(0.1)(318)+10x\\=296.2x

c) Yes.

Step-by-step explanation:

We have that:

Tires=$300\\Tax=0.006\\Discount=0.1\\

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

Total_{Tires}=300x

So, what we pay for taxes is given by:

Taxes=(300x)(0.06)=18x

a) Then, according to the above, we can write down the total cost before the discount as:

T(x)=300x+18x=318x

b) And the total cost after discounts, is then given by:

D(x)=318x-(0.1)(318)+10x\\=296.2x

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

6 0
3 years ago
2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt
fenix001 [56]

Answer:

  P = 1/(sqrt(4)) and w = 1/(sqrt(9))

Step-by-step explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

  \dfrac{1}{\sqrt{4}}+\dfrac{1}{\sqrt{9}}=\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{5}{6}\quad\text{a rational number}

4 0
3 years ago
A discuss moves from P1 (4,8) to P2 (15,17). What is the lincar displacement in the horizontal and vertical directions? What is
Yakvenalex [24]

Answer:

The horizontal displacement is 11 units, the vertical displacement is 9 units, and the projection angle is 39.3 degrees.

Step-by-step explanation:

We can start using the definition of displacement in one dimension between any 2 points which is the difference between them, so we have

\Delta s = s_2-s_1

And apply it to get the horizontal and vertical displacements.

Once we have found them, we can use trigonometric functions to find the projection angle with respect the horizontal.

Linear displacements.

Using the definition of displacement, we can write the horizontal displacement as

\Delta x = x_2-x_1

So we can use the given points P1:(x_1,y_2)  \text{  and  } P_2: (x_2,y_2) on the displacement formula

\Delta x = 15-4\\\Delta x = 11

In the same manner we can look at the y components of those points to find the vertical displacement

\Delta y = 17-8\\\Delta y =9

Thus the horizontal displacement is 11 units and the vertical displacement is 9 units.

Projection angle.

The projection angle with respect the horizontal is the angle that is made between the line that connects the points P1 and P2 and the horizontal, so we can use the linear displacements previously found to write

\tan(\theta) = \cfrac{\Delta y}{\Delta x}

Solving for the angle we get

\theta = \tan^{-1}\left(\cfrac{\Delta y}{\Delta x}\right)

Replacing values

\theta = \tan^{-1}\left(\cfrac{9}{11}\right)

Which give us

\theta = 39.3^\circ

So the projection angle is 39.3 degrees.

7 0
3 years ago
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