Answer:
5/12 of rain came, or 10 inches
Step-by-step explanation:
complete rain be 1
then, =1-(1/4+1/3)
=1-(3+4/12) take lcm
=1-7/12
=12-7/12 again lcm
= 5/12
or
1/4 of 24 inches means 1/4×24= 6 inches
1/3 of 24 inches, then 1/3×24= 8 inches
therefore, rest of the months get
= 24-(6+8)
=24-14
=10 inches
Answer:
Step-by-step explanation:
Given that Elijah threw a ball from a height of 4 feet. The ball reached maximum height of 16 feet after 2seconds
Let vertical component of his speed be v
When it reaches maximum height its velocity becomes 0
Hence
height reached by the ball =
When h=12(16-4) we get g=gravity =32
Hence 12 =2v-16(4)
v=38
Hence 
where h is calculated from the height of hand i.e. 4 feet
When it touches the ground h =-4
When it starts falling then distance travelled = 16 feet
Initial velocity =0 Accn due to gracity =32 feet
Using these we can write

So after 3 minutes from start the ball would reach the ground
Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
82 left after 3 rides b=100-6(3)
58 left after 7 rides b=100-6(7)
16 left after 14 rides b=100-6(14)
Answer:
The length of the third piece of the ramp is;
D. 9.24 feet
Step-by-step explanation:
The given parameters are;
The height of the ramp = 8 feet
The angle between the piece that forms height and the base = 90°
The angle formed by the third piece connecting the height of the ramp to the furthest point and the 8 foot piece = 30°
Let 'y' represent the 8-foot piece forming the height, and let 'r' represent the third piece, by trigonometric ratio, we have;

Therefore, we get;


The length of the third piece, r ≈ 9.24 feet