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marusya05 [52]
3 years ago
9

If a rectangle is 95 meters long and 65 meters wide what is the diagonal​

Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

Answer:

115.1

Step-by-step explanation:

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A cone of radius 10 cm and height 16 cm is divided into two parts by a plane through the midpoint of its
bazaltina [42]

Answer:

The ratio of their volumes (the top to bottom half) is 1/7

Step-by-step explanation:

The given parameters are;

The radius, r, of the cone = 10 cm

The height of the cone = 16 cm

The point at which the cone is divided = The midpoint of the its axis and parallel to its base

The ratio of the of the volume of the two parts is given as follows;

The volume, V of the entire cone = 1/3 × Base area (π·r²) × Height, h

Therefore;

V = 1/3 × π × 10² × 16 =1600·π/3 =  1675.52 cm³

The height at which the cone is divided = 16/2 = 8 cm

The height, h₁ of the uppermost divided cone = 8 cm

The ratio of the radius to the height of the cone = 10/16 = 5/8

The radius r₁, of the uppermost divided cone = The height of the uppermost divided cone × The ratio of the radius to the height of the cone

∴ r₁ = 8 × 5/8 = 5 cm

The volume, V₁, of the uppermost divided cone = 1/3 × (π·r₁²) × h₁

∴ V₁ = 1/3 × π × 5² × 8 = 200·π/3 = 209.44 cm³

Which gives;

The volume of the lower cone, V₂ =  V - V₁

V₂ =  1675.52 cm³ - 209.44 cm³ = 1400·π/3 = 1466.1 cm³

The ratio of their volumes V₁ : V₂ = V₁/V₂ = (200·π/3)/(1400·π/3) = 209.44/1466.1 = 1/7.

7 0
3 years ago
Andrea rode her bike 3 23rds miles on saterday and 4 56 miles on sunday. how far did she bike in all​
Tpy6a [65]

Answer:

8 1/2 miles

Step-by-step explanation:

Please use " ' " to indicate fractions:

Andrea rode her bike 3 2/3 miles on saturday and 4 5/6 miles on sunday.

Add together 3 2/3 and 4 5/6.  The LCD is 6, so 3 2/3 should be rewritten as 3 4/6.  Now 3 4/6 and 4 5/6 have the same denominator, 6.

 3 4/6

+4 5/6

-----------

 7  9/6.    Note that 9/6 = 1 1/2, so rewrite

7  9/6 as 8 3/6, or 8 1/2.

She biked 8 1/2 miles in all.

8 0
2 years ago
Can someone Help with this question
inn [45]

Answer:

B 12

Step-by-step explanation:

  • manuel ate 1/3X
  • His brother ate 1/4X
  • leftover is 5
  • total is X

manuel+brother+leftover=X

x/3+x/4+5=x

7x+60/12=x

  • cross multiply

7x+60=12x

  • collect like terms

60=12x-7x

60=5x

  • divide both by 5

x=60/5

x= 12

5 0
2 years ago
When driving the peregrine falcon can reach speed of up to 175 miles per hour
zepelin [54]
thank you for the information
but where is the question??????
3 0
3 years ago
The Australian Open is the first of the four Grand Slam professional tennis events held each year. Victoria Azarenka beat Maria
klasskru [66]

Answer:

asnwer is B

Step-by-step explanation:

mark BRAINLIEST

5 0
3 years ago
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