The formula for volume of a hemisphere is: V = 2/3 * π * r³
Volume = 2/3 x 3.14 x 150^3
Volume = 7,065,000 cubic feet.
Multiply the cost per cubic foot by the volume:
7,065,000 x 0.05 = 353,250
The total cost was $353,250
Answer:
- r(0) = <0, 100> . . . . . . . .meters
- r'(0) = <7.071, 7.071> . . . . meters per second
Step-by-step explanation:
<u>Initial Position</u>
The problem statement tells us we're measuring position from the ground at the base of the building where the projectile was launched. The initial horizontal position is presumed to be zero. The initial vertical position is said to be 100 meters from the ground, so (in meters) ...
r(0) = <0, 100>
<u>Initial Velocity</u>
The velocity vector resolves into components in the horizontal direction and the vertical direction. For angle α from the horizontal, the horizontal component of velocity is v₁·cos(α), and the vertical component is v₁·sin(α). For v₁ = 10 m/s and α = π/4, the initial velocity vector (in m/s) is ...
r'(0) = <10·cos(π/4), 10·sin(π/4)>
r'(0) ≈ <7.071, 7.071>
The answer to your question is 503
Answer:
76%, 
, and Likely
Step-by-step explanation:
The problem tells us that P(red) = 0.76
0.76 as a percentage is represented as 76 out of a 100 or 76%
0.76 as a fraction is 
which can be simplified to by dividing the numerator and denominator by 4
The probability could be considered "Likely" as it is above 50%
Answer:
y = 
x + 6 or y = x - 0.375
Step-by-step explanation:
For 2 lines to be perpendicular, their slopes must be <u>negative reciprocals</u>. In order to find the perpendicular of y - 4x - 6 = 0:
SLOPE INTERCEPT FORM: y = 4x + 6
SLOPE OF LINE A: m=4
SLOPE OF LINE B (the one you are looking for): m=
Since I don't know if you meant that they intercept on the x or y axis I will do both.
<u>y-axis</u>
y-6=(x-0)
y = x+6
<u>x-axis</u>
y-0=(x-1.5)
y=x-0.375
