It's a pretty simple suvat linear projectile motion question, using the following equation and plugging in your values it's a pretty trivial calculation.
V^2=U^2+2*a*x
V=0 (as it is at max height)
U=30ms^-1 (initial speed)
a=-g /-9.8ms^-2 (as it is moving against gravity)
x is the variable you want to calculate (height)
0=30^2+2*(-9.8)*x
x=-30^2/2*-9.8
x=45.92m
With these questions it's best to just memorise the suvat equations and either draw or imagine the actions involved, that was you can tell what piece of given information translates to which variable. For example; I know that I am looking for max height, so when a ball is at its highest point, it can't be moving up anymore (thus V = 0). I also know that it is moving upwards against gravity, so gravity will be decelerating the ball (therefore a=-g). In a paper, it may as for assumptions with this question, a good answer would be no air resistance or movement due to any other external forces. I hope I helped :)
Answer:
length = 48 feet , width = 32 feet
Step-by-step explanation:
Using
2W + 2L = 160 with W = L - 16 , then
2(L - 16) + 2L = 160 ← distribute and simplify left side
2L - 32 + 2L = 160
4L - 32 = 160 ( add 32 to both sides )
4L = 192 ( divide both sides by 4 )
L = 48
Substitute L = 48 into W = L - 16
W = 48 - 16 = 32
Thus length = 48 feet and width = 32 feet
Answer:
the awencer is 4.2
Step-by-step explanation:
Answer:
7
or 9.89
Step-by-step explanation:
sin45= 
x=
x= 7 or 9.89
Answer:
Step-by-step explanation:
Just multiply the sides. For example, the roses take 8x4=32 feet. if we want to know the area of Zinnias, we multiply the sides 8x12 and remove the roses, which would be 8x12-32=96-32=60 for the Zinnias.
For a)
The roses take 8x4
Zinnias take 8x12 - roses
Snapdragons take 16x12 - roses - zinnias
Petunias take 16x20 - snapdragons - zinnias- roses
b) The entire area of the garden is 20x16=320 square feet
The area of the Zinnias(including roses) is 8x12 = 96 square feet
To get the percent, we divide the smaller number by the bigger number and multiply by 100 or in practice 96/320x100=30%
c) Let's see the progression here. The width progresses in the first rectangle by four 8 to 12, then again by four 12, 16 and again by four 16 to 20, which means that the next rectangle would have a width of 20+4=24. Doing the sale analysis for the height, we get that the increase is with 4 feet at a time or the new rectangle would have a width of 24 and height of 20, which means a total area of 480 feet. We have to subtract all other rectangles or the new area would be 480 - (20x16) = 160 square feet
