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Ludmilka [50]
2 years ago
7

Find the volume of this cone. Use 3 for TT. 5in Tr2h 3 8in V V ~ [?]in3

Mathematics
1 answer:
LuckyWell [14K]2 years ago
5 0

Answer:

50 in ^3

Step-by-step explanation:

V = 1/3 pi r^2 h

We know that pi = 3  

the diameter is 5 so the radius is 1/2 the diameter of 5/2 = 2.5

The height is 8

V = 1/3 ( 3) ( 2.5)^2 ( 8)

V = 50 in ^3

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A ball is thrown from a height of 45 meters with an initial downward velocity of 10 m/s. The ball's height h (in meters) after t
dmitriy555 [2]

Answer:

2.16 s

Step-by-step explanation:

When it hits the ground, height h=0 hence

0=45-10t-5t^{2}

5t^{2}+10t-45=0

t^{2}+2t-9=0

Using quadratic formula

x=-1+\sqrt 10\\ x=-1-\sqrt 10

Since time can't be negative, -1+\sqrt 10

t=2.16 s

7 0
3 years ago
The equation of three lines are given below
kotykmax [81]

Answer:

The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Step-by-step explanation:

Given as :

The three line equation is

Line 1 : 2 y = 5 x + 6

Line 2 : y = \frac{2}{5} x - 1

Line 3 : 10 x + 4 y = - 6

Now, The standard equation of line is

y = m x + c

where m is the slope of line

And c is the y intercept

So, From Line 1

2 y = 5 x + 6

or , y =  \frac{5}{2} x + \frac{6}{2}

I.e y =  \frac{5}{2} x + 3

So,  slope of this line = m_1 =  \frac{5}{2}

Again , From Line 2

y = \frac{2}{5} x - 1

So, slope of this line =  m_2 =  \frac{2}{5}

Similarly , From Line 3

10 x + 4 y = - 6

I.e 4 y = - 6 - 10 x

or, y = - \frac{6}{4} -  \frac{10}{4} x

I.e y =  - \frac{5}{2} x  - \frac{6}{4}

So, Slope of this line = m_3 = - \frac{5}{2}

<u>Now, If the lines are parallel , then the slope of the lines are equal</u>

<u>And  If the lines are perpendicular , then the product of the slopes of the lines = - 1</u>

Now, From given lines

m_2 × m_3 = \frac{2}{5} × ( - \frac{5}{2} )

I.e m_2 × m_3 = - 1

So, The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3

Hence The line 2 and Line 3 are perpendicular to each others

But There is no relation between Line 1 and Line 2  , Line 1 and Line 3 Answer

6 0
3 years ago
Please answer thisss &lt;3
lawyer [7]

Answer:

i think . it is c

Step-by-step explanation:

5 0
3 years ago
HELP THIS IS SO IMPORTANT
LekaFEV [45]

Answer:

variable = s

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Step-by-step explanation:

7 0
3 years ago
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62.3÷5.5 round to nearest 1000​
Marrrta [24]

Answer:

11.327

Step-by-step explanation:

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3 years ago
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