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Tasya [4]
3 years ago
12

TUU SILICU.

Mathematics
2 answers:
givi [52]3 years ago
6 0

Answer:

r = 5 , V= 105

And for this case we want to find the height, if we solve for h from equation (1) we got:

h = \frac{3V}{\pi r^2}

And replacing we got:

h = \frac{3*105}{3.14 (5)^2} = 4.01

And then height would be given by:

h =4.01 units

Step-by-step explanation:

For this case we know that the volume for a cone is given by this formula:

V = \frac{\pi r^2 h}{3} (1)

And from the info given we have:

r = 5 , V= 105

And for this case we want to find the height, if we solve for h from equation (1) we got:

h = \frac{3V}{\pi r^2}

And replacing we got:

h = \frac{3*105}{3.14 (5)^2} = 4.01

And then height would be given by:

h =4.01 units

Shalnov [3]3 years ago
4 0

Answer:

4.013 units

Step-by-step explanation:

We know that the volume of a cone is given by the following equation:

v = pi / 3 * r ^ 2 * h

we need to know the height, therefore we solve for h:

h = 3 * v / (pi * r ^ 2)

replacing v = 105 and r = 5

h = 3 * 105 / (3.14 * 5 ^ 2)

h = 4.013

Which means that the height measures 4.013 units

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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?
BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
A_{n}=A_{1}+(n-1)d

A_{n} is the "n-th" number in the sequence (ex:  is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so A_{1}=47
<span>d=-2 because the question gives you that
</span>
A_{n}=A_{1}+(n-1)d
<span>A_{29}=47+(29-1)(-2)
</span><span>A_{29}=47+(28)(-2)
</span><span>A_{29}=47+-56
</span><span>A_{29}=-9
</span>
The answer is A. -9.

<u>                                                       </u>

<span>The answer is C. 158</span>

For the second one, it gives you A_{1}=4 and <span>A_{}=18
You can use this to find d

</span><span>A_{n}=A_{1}+(n-1)d
</span><span>A_{3}=4+(3-1)d
</span><span>18=4+(3-1)d
</span><span>18=4+2d
</span><span>14=2d
</span><span>7=d
</span>
Now you can just solve using the equation normally.
<span>A_{n}=A_{1}+(n-1)d
</span><span>A_{23}=4+(23-1)(7)
</span><span>A_{23}=4+(22)(7)
</span><span>A_{23}=4+154
</span><span>A_{23}=158
</span>
The answer is C. 158
8 0
3 years ago
Read 2 more answers
AC = 3x -8, BC = -7 + 2x, and AB = 8.<br> Find BC.
Rainbow [258]

Answer:

AB+BC+AC=180°

8 - 7 + 2x +3x -8= 180°

-7+5x=180°

x=180°+7/5

x=37.4°

again

BC=-7+2*37.4

=67.8°

4 0
1 year ago
A rectangular garden 6 meters wide has a diagonal measuring 10 meters. find the perimeter of the garden.
FromTheMoon [43]
The perimeter would be:
 6+6+10+10
12+20
perimeter= 32
HOPE THIS HELPS YOU! ^_^
7 0
3 years ago
What is an equation of the line that passes through the points (6, -1) and (1, 4)?
Nataly [62]
Here you go! Hope this helps!

3 0
1 year ago
You bought a magazine for $3 and two notepads. You spent a total of $13. How much did each notepad cost? *
sweet-ann [11.9K]

Answer:

$5

Step-by-step explanation:

We want to find the cost of a notepad considering a magazine costs $3 and we buy 2 notepads and the total cost of the magazine and the 2 notepads is $13 so we can set up an equation to represent this situation. Let 'n' be notepads and that's the value we are solving for so,

⇒ Form the equation

→ 2n + 3 = 13

⇒ Minus 3 from both sides to isolate 2n

→ 2n = 10

⇒ Divide both sides by 2 to find the cost of one notepad

→ n = 5

The cost of one notepad is $5 considering that a magazine cost's $3 and two notepads and total is $13.

4 0
3 years ago
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