Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
Answer:
V0 = 48 feet per second is the answer.
Step-by-step explanation:
The given function which represents height of a golf ball in feet after x seconds after a player hits it.
y = -16x² + v0x
here v0 is the initial velocity and we have to calculate initial velocity. The ball returns to the ground 3 seconds after it is hit.
After 3 seconds height of the ball will be 0.
Now from the given function
0 = -16(3)² + v0×3
3v = 16×9
v0 = 16×9/3 = 48 feet per second.
Answer:
I think it is A.
Step-by-step explanation:
Answer:
The volume of water bottle Francisco takes to school = 1.0048 liters
Step-by-step explanation:
The dimensions of the water bottle are given :
The Height of the water bottle is 20 cm
⇒ h = 20 cm
The Radius of the water bottle is 4 cm
⇒ r = 4 cm
⇒ Volume of the water bottle = π·r²·h
⇒ Volume = 3.14 × 4² × 20
⇒ Volume = 1004.8 cm³
Now, 1000 cm³ = 1 liter
⇒ 1004.8 cm³ = 1.0048 liter
Hence, The volume of water bottle Francisco takes to school = 1.0048 liters
If you're rolling a single cube, then ...
-- There are 6 possible out comes.
-- One of them (5) is a multiple of 5 .
-- The probability of rolling it is (1/6) = <em>16-2/3 %</em> .
If everything is acting perfectly random, then ion 100 rolls,
you'd expect to succeed 16 or 17 times.
If you're rolling a pair of cubes, then ...
-- There are (6 x 6) = 36 possible outcomes.
-- There are seven ways to get a multiple of 5.
(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)
-- The probability of rolling one of those is
(7/36) = <em>19-4/9 %</em> .
If everything is acting perfectly random, then in 100 rolls,
you'd expect to succeed 19 or 20 times.