Answer:
12.5 litres of Blue paint
Step-by-step explanation:
2+7+1=10
therefore;
10=64
2=??
cross-multiply
(2×64)÷10
answer= 12.4 liters or 12.5
Answer:
21, 28, 36
Step-by-step explanation:
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
Next three terms,
15 + 6 = 21
21 + 7 = 28
28 + 8 = 36.
Answer:
First choice
Step-by-step explanation:
Angles A and D are vertical angles
Angles A and Z are alternate exterior angles
Answer:
y = -1/4x - 3
Step-by-step explanation:
Halfway through would be:
(10 + 6 / 2, -13 + 3 / 2) --> (8, -5)
The slope of the line that goes through (10, 3) and (6, -13) is -13 - 3 / 6 - 10 = -16 / -4 = 4.
That means the slope of the line that is perpendicular would be the negative reciprocal of 4, which is -1/4.
Put this in point slope form with slope = -1/4 and point = (8, -5):
y + 5 = -1/4(x - 8)
y + 5 = -1/4x + 2
y = -1/4x - 3
<span> You have :
----------------
v0 = 35 m/s
B = angle of elevation = 30 deg
a suby = - g
v suby0 = ( v0 ) ( sin B )
v suby0 = ( 35 m/s ) ( sin 30 ) = 17.5 m/s
At maximum height :
------------------------------
v suby = vy* = 0.0
t = t*
y = ymax = y*
Basic kinematics gives :
-------------------------------------
a suby = dv suby / dt = -g ------> dt = dv suby /a suby
v suby = dy/dt ------> dt = dy / vsuby
dt = dv suby / a suby = dy / v suby
( v suby ) ( d v suby) = ( a suby ) dy = ( -g ) dy
Now integrate and get :
-----------------------------------
( v suby* )^2 - ( v suby0)^2 ( 1/2 ) = ( -g ) ( ymax )
ymax = [ ( v suby0 )^2 - ( v suby* )^2 ] / [ ( 2 ) ( g ) ]
ymax = ( 17.5 m/s )^2 - ( 0.0 m/s )^2 ] / [ ( 2 ) ( 9.807 m/s^2 ) ]
ymax = 15.6 m <------------------
Check the result:
--------------------------
t* = v suby0 / g = ( 17.5 m/s ) / ( 9.807 m/s^2 ) = 1.784 s
y* - y0 = ( v suby0 ) ( t* ) - ( g/2 ) ( t* )^2
y* = ( 17.5 m/s ) ( 1.784 s ) - ( 9.807 m/s^2 / 2 ) ( 1.784 s )^2
y* = ymax = 31.23 m - 15.61 m = 15.6 m
The ymax values agree.</span>
