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Eva8 [605]
3 years ago
9

Triangle ABC is similar to Triangle DEF, AC=9x, BC=8, DF=18, and EF=x. Which of the following represents the length of AC.

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

The answer to your question is 4

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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
Solve each system of equations below by substitution
Anna007 [38]

Answer:

numero uno, ok

Step-by-step explanation:

6 0
2 years ago
As an estimation we are told £3 is €4.<br> Convert £33 to euros.
Triss [41]

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

6 0
3 years ago
Sam can mow 2 lawns in 3/4 hour.
MrRa [10]

Answer:

5 lawns is the answer don't forget to mark as brainliest!

6 0
2 years ago
Describe in words the relationship between the length, width and height of a cuboid and its volume. ​
Sergio [31]

Volume = length * width * height

Each asterisk * refers to the multiplication symbol

The volume of the cube is equal to the length times width times height

---------------------

Example:

Consider a cube that has length, width and height each equal to 4 cm

Volume = length * width * height

Volume = (4 cm) * (4 cm) * (4 cm)

Volume = (4*4*4) cubic cm

Volume = 64 cubic cm

----------------------

Another example:

We have a rectangular prism that has the following dimensions

length = 4 ft

width = 3 ft

height = 5 ft

Computing the volume gets us:

Volume = length * width * height

Volume = (4 ft) * (3 ft) * (5 ft)

Volume = (4*3*5) cubic ft

Volume = 60 cubic ft

3 0
2 years ago
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