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erastova [34]
3 years ago
14

16 cm

Mathematics
1 answer:
Ronch [10]3 years ago
8 0

Answer:

Step-by-step explanation:

volume  of cylinder = πr²h = π(5²)(16) ≅ 1256 cm³

volume of cone = ⅓πr²h = ⅓π(3²)12 ≅ 113.04 cm³

volume of air space = 1256 - 113.04 = 1143.96 cm³

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Calculate the length of an arc
jek_recluse [69]
Easy peasy
remember that the arc is a part of the perimiter of the circle aka circumference
also 360 degrees=circle

we are given the radius
calculate circumference
c=2pi times r
r=14
c=pi times 2 itimes 14
c=28pi

100 degrees is the arc

find what fraction of the circumferece thei srepresents
whole=360
100/360=10/36=5/18
so if circumference=28pi then multiply 5/18 by that
5/18 times 28pi=140pi/18=70pi/9
legnth=(70pi)/9 cm
if you were to aprox pi to 3.14 then the answer would be
24.4222222 cm
3 0
3 years ago
A delivery truck is stocked with boxes of leather footballs. The graph shows the relationship between the number of footballs an
pashok25 [27]

Answer:

21

Step-by-step explanation:

To find the answer, you'd have to continue tracing the diagonal line until it intersects with the vertical line that corresponds to the number 3.

If you do that, you'll see that in3 boxes, there are 21 footbals.


You can also calculate it mathematically:

If you have 7 balls per box as shown in the graph, you just have to multiply 7 by 3 to know how many balls you'll find in 3 boxes. 7 * 3 = 21.



Hope it helped,



BioTeacher101

6 0
3 years ago
Read 2 more answers
Point A is at (-7, -9) and point M is at (-0.5, -3).
Anit [1.1K]

Answer:

<em>B ( 6 , 3 ) </em>

Step-by-step explanation:

( x_{1} , y_{1} )

( x_{2} , y_{2} )

Coordinates of midpoint are ( \frac{x_{1} +x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )

~~~~~~~~~~~~~~~~~~

A ( - 7 , - 9 )

B ( x , y )

M ( - 0.5 , - 3 )

\frac{-7+x}{2} = - 0.5 ⇒ <em>x = 6</em>

\frac{-9+y}{2} = - 3 ⇒ <em>y = 3</em>

<em>B ( 6 , 3 )</em>

8 0
3 years ago
A members-only speaker series allows people to join for $28 and then pay $4 for every event attended. What is the total cost for
wariber [46]

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

y=28+4x

Substitute x=4 in this equation.

y=28+4(4)

y=28+16

y=44

Therefore, total cost of 4 events is $44.

8 0
3 years ago
Six more than three times a number w. <br> An expression for this phase is..? <br><br> (Please help)
satela [25.4K]

Answer:6+3w

Step-by-step explanation:

So, our number is "W"

SO, 6  more than three times w is

6+3w

Three times w=3w

Then, it says 6 more, so we add 6

8 0
3 years ago
Read 2 more answers
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