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k0ka [10]
3 years ago
7

The volume of a cone is 31.5 inches cubed and the radius is 3 inches what is the height of the cone

Mathematics
1 answer:
DaniilM [7]3 years ago
3 0
Volume of a cone: (1/3)πr²h

Data:
V=31.5 in³,
r=3 in

Then:
V=(1/3)πr²h
31.5 in³=(1/3)π(3 in)²h
<span>(1/3)π(3 in)²h=31.5 in</span>³
(1/3)π(9 in²)h=31.5 in³
3πin² h=31.5 in³
h=(31.5 in³) / (3π in²)
h≈3.34 in

answer: the height of the cone is 3.34 in. 
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The cost to visit a famous tourist attraction in Russia is 442.25 Rubles. What is the cost in USD if the exchange rate is 3 USD
Lubov Fominskaja [6]

Answer:

$14.5

Step-by-step explanation:

Given data

Cost for the visit=442.25 Rubles

exchange rate

3 USD= 91.5 Rubles

but 1 USD= 91.5/3

=  30.5

Therefore if 1 USD is 30.5 Rubles

         Then   xUSD is  442.25 Rubles

cross multiply

30.5x= 442.25

divide both sides by 30.5

x= 442.25/30.5

x=14.5USD

The cost of the attraction is $14.5

6 0
3 years ago
I’m confused please help
Maru [420]
<h2>Hello!</h2>

The answer is:

Sin(A)=0.93

<h2>Why?</h2>

To solve the problem, remember to set your calculator in "degree mode"

So, we are given that the angle A is equal to 68°

So, we have that:

Sin(A)=Sin(68\°)=0.93

Hence, we have that:

Sin(A)=0.93

Have a nice day!

4 0
3 years ago
Which function could be represented by the graph on the coordinate plane?
spin [16.1K]

Answer:

\boxed{f(x)=(x-8)^2-6}

Step-by-step explanation:

The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.

The coordinates of a point in the fourth quadrant is of the form (x,-y)

Considering the options, the vertex must have coordinates (h,k)=(8,-6) and a=1.


The quadratic function in vertex form is written as;

f(x)=a(x-h)^2+k

Therefore the equation of the quadratic function is;

f(x)=(x-8)^2-6


The correct answer is option D


8 0
3 years ago
A bag with 8 marbles are shown below.What is the probability that they are white or grey
horrorfan [7]

Answer: 2/8

Step-by-step explanation:

The probability that the marbles are white or grey is 2/8 because since there is 2 marbles and the total is 8 so you have a probability of 25% to get white or gray

3 0
3 years ago
Find the distance between -6,5 and -3,1
Elenna [48]

Answer:

11.7

Step-by-step explanation:

\sqrt{(-6-5)^2(-3-1)^2 }\\

=11.7

3 0
4 years ago
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