The answer is 20
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Answer:
see explanation
Step-by-step explanation:
Under a reflection in the line y = - x
a point (x, y ) → (- y, - x ), thus
T(- 1, 3 ) → T'(- 3, 1 )
U(- 1, 10 ) → U'(- 10, 1 )
V(- 2, 4 ) → V'(- 4, 2 )
Answer:
It would be E.
Step-by-step explanation:
30,030 can be divided into 10010 and 3. 10010 can be divided into 10 and 1001. 10 can be divided into 2 and 5, while 1001 can be divided into 13 and 77. 77 can divided into 7 and 11. This leads the prime factorization to be E, as it is 2, 3, 5, 7, 11 and 13.
Answer: The answer is three dollars
Step-by-step explanation: On the chart, if you go over 1 bag and go up you get 3.
Answer:
Distance covered by the bird before meeting the water is: 51.264 ft
Step-by-step explanation:
Notice that if the bird catches the fish in 2 seconds, then the fish was able to dive down a total of 6 feet before being caught:

So the bird needs to fly in the direction of the hypotenuse of a right angle triangle (see attached image) that has one leg of length (24 ft + 6 ft) = 30 ft, and another one 22.5 ft (half the width of the river.
Such hypotenuse is (using Pythagoras theorem):

Now, in order to find the distance D the bird covers from the top of the tree to the water (marked in red in our image), we use similar triangles. The bigger triangle is that of legs 60 ft and 22.5 ft and hypotenuse 64.08 ft.
The smallest triangle we use in the proportion is the one shaded yellow in the image, which has one leg equal to 24 ft, and unknown hypotenuse:
So we make the proportion between known legs, and hypotenuses:
