Answer:
D'G' = 52.5 units
Step-by-step explanation:
Since the dilatation is centred at the origin then multiply the original coordinates by the scale factor 3.5
D' = (1 × 3.5, 7 × 3.5 ) = (3.5, 24.5 )
G' = (- 8 × 3.5, - 5 × 3.5 ) = (- 28, - 17.5 )
Calculate D'G' using the distance formula
d = 
with (x₁, y₁ ) = D' (3.5, 24.5) and (x₂, y₂ ) = G' (- 28, - 17.5)
D'G' = 
= 
= 
= 
= 52.5 units
Answer:
4 methods are there
Step-by-step explanation:
- Find the prime factorization of each number.
- Write each number as a product of primes, matching primes vertically when possible.
- Bring down the primes in each column.
- Multiply the factors to get the LCM.
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Answer:
<em> or 10.8627805 </em>
Step-by-step explanation:
Start by taking the difference of each value of both points
<u>Find the difference in x values </u>
78-2 = 76
<u>Find the difference in y values</u>
46-4 = 42
<u>Add the two differences </u>
76+42=118
<u>Take the square root of this value </u>
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Let's restate the given:
Height of cone = 70 cm
Radius = 15 cm
Now, first, let's find the volume of the cone through the formula V = πr²h/3
Substitute all data and you will get 16493.36 cubic centimeters.
Now, to get how many days the container will be complete empty, you simply divide the volume of the cone by 500 cubic centimeters.
Days = 16493.36 cu cm/ 500 cu cm
Days = 32.99 or 33 days.
Thus, the answer you're looking for is 33 days.